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xar - city khuni - murderer nadar - glance saitan - satan hajir - present wrench (also called a spanner) is a tool used to provide grip and mechanical advantage in applying torque to turn objects—usually rotary fasteners, such as nuts and bolts—or keep them from turning. In Commonwealth English (excluding Canada), spanner is the standard term. The most common shapes are called open-ended spanner and ring spanner. The term wrench is generally used for tools that turn non-fastening devices (e.g. tap wrench and pipe wrench), or may be used for a monkey wrench - an adjustable spanner.[1] In North American English, wrench is the standard term. The most common shapes are called open-end wrench and box-end wrench. In American English, spanner refers to a specialised wrench with a series of pins or tabs around the circumference. (These pins or tabs fit into the holes or notches cut into the object to be turned.) In American commerce, such a wrench may be called a spanner wrench to distinguish it from the British sense of spanner. Higher quality wrenches are typically made from chromium-vanadium alloy tool steels and are often drop-forged. They are frequently chrome-plated to resist corrosion and for ease of cleaning. Hinged tools, such as pliers or tongs, are not generally considered wrenches in English, but exceptions are the plumber wrench (pipe wrench in British English) and Mole wrench (sometimes Mole grips in British English). Contents [hide] 1 History 2 Types 3 Other types of keys 4 Size designations 5 References 6 External links History[edit] Wrenches and applications using wrenches or devices that needed wrenches, such as pipe clamps and suits of armor, have been noted by historians as far back as the 15th century.[2] Adjustable coach wrenches for the odd-sized nuts of wagon wheels were manufactured in England and exported to North America in the late eighteenth and early nineteenth centuries. The mid 19th century began to see patented wrenches which used a screw to narrowing or widening the jaws, including patented monkey wrenches. Types[edit] American name British/Commonwealth name Description Group Clé plate.jpg open-end wrench open-ended spanner A one-piece wrench with a U-shaped opening that grips two opposite faces of the bolt or nut. This wrench is often double-ended, with a different-sized opening at each end. The ends are generally oriented at an angle of around 15 degrees to the longitudinal axis of the handle. This allows a greater range of movement in enclosed spaces by flipping the wrench over. common Kluc ockovy vysunuty.jpg box-end wrench ring spanner A one-piece wrench with an enclosed opening that grips the faces of the bolt or nut. The recess is generally a six-point or twelve-point opening for use with nuts or bolt heads with a hexagonal shape. The twelve-point fits onto the fastening at twice as many angles, an advantage where swing is limited. Eight-point wrenches are also made for square-shaped nuts and bolt heads. Ring spanners are often double-ended and usually with offset handles to improve access to the nut or bolt. common Kluc ockoplochy.jpg combination wrench combination spanner open-ring spanner A double-ended tool with one end being like an open-end wrench or open-ended spanner, and the other end being like a box-end wrench or ring spanner. Both ends generally fit the same size of bolt. common Bremsleitungsschluessel.JPG flare-nut wrench tube wrench line wrench flare spanner flare nut spanner brake spanner



crow's-foot spanner A wrench that is used for gripping the nuts on the ends of tubes. It is similar to a box-end wrench but, instead of encircling the nut completely, it has a narrow opening just wide enough to allow the wrench to fit over the tube, and thick jaws to increase the contact area with the nut. This allows for maximum contact on plumbing nuts, which are typically softer metals and therefore more prone to damage from open-ended wrenches. common Point tailed ratchet spanner.jpg ratcheting box wrench ratcheting ring spanner A type of ring spanner, or box wrench, whose end section ratchets. Ratcheting can be reversed by flipping over the wrench, or by activating a reversing lever on the wrench. This type of wrench combines compact design of a box wrench, with the utility and quickness of use of a ratchet wrench. A variety of ratcheting mechanisms are used, from simple pawls to more complex captured rollers, with the latter being more compact, smoother, but also more expensive to manufacture. The one pictured also features a drift pin on the tail. common Craftsman Saltus wrenches.jpg flex-head socket wrench Saltus wrench scaffolders spanner Similar in concept to a socket wrench. A Saltus wrench features a socket permanently affixed to a handle. Sockets are not interchangeable as with a socket wrench. The socket often rotates around the handle to allow the user to access a fastener from a variety of angles. Commonly a Saltus wrench is part of a double-ended wrench, with an open-end type head on the opposite side from the socket head. common Spanner wrenches various kinds from Colvin and Stanley 1910 p64.png spanner wrench or simply spanner [referring to any of these]; [when specifying pin vs hook vs C, the same terms are used as in British English] pin spanner hook spanner C spanner pin face spanner A wrench with one or several pins or hooks, designed to drive spanner head screws, threaded collars and retainer rings, shafts, and so on. Note the difference in the American and British senses of the word "spanner". In American English, "spanners" are a subset of the class of tools called "wrenches". common Kluc vidlicovy uderovy.jpg striking face box wrench slammer wrench slugger wrench hammer wrench slogging spanner flogging spanner This is a specialized thick, short, stocky wrench with a block end to the handle specifically designed for use with a hammer, enabling one to impart great force. Used commonly with large fasteners, especially a nut and stud which both have index marks: the nut is screwed hand-tight, then further tightened with the striking wrench a known number of index marks calculated from the elasticity of the bolt or stud, thus giving precise torque (preload). Striking wrenches also provide shock and high force used to release large and/or stuck nuts and bolts; and when space does not allow room for a large wrench. common AdjustableWrenchWhiteBackground.jpg adjustable wrench adjustable end wrench Crescent wrench adjustable spanner shifting spanner shifter wrench The most common type of adjustable wrench in use today. The adjustable end wrench differs from the monkey wrench in that the gripping faces of the jaws are displaced to a (typically) 15 degree angle relative to the tool's handle, a design feature that facilitates the wrench's use in close quarters. The modern adjustable end wrench was invented by Johan Petter Johansson of Bahco. The common use of "Crescent wrench" to describe this design is derived from the Crescent brand, owned by Apex Brands, Inc. Apex Tool Group, LLC. adjustable Self-adjusting wrench self-adjusting wrench self-adjusting spanner With a serrated jaw which is self-tightening. adjustable Monkey wrench derivative from Rogers 1903 p172.png monkey wrench gas grips King Dick An old type of adjustable wrench with a straight handle and smooth jaws whose gripping faces are perpendicular to the handle. historical Trimo pattern Aluminum Pipe Wrenches.jpg pipe wrench Stillson wrench Stillsons Pipe wrench A tool that is similar in design and appearance to a monkey wrench, but with self-tightening properties and hardened, serrated jaws that securely grip soft iron pipe and pipe fittings. Sometimes known by the original patent holder's brand name as a "Stillson wrench". adjustable Socket wrench and sockets.JPG socket wrench socket wrench socket spanner A hollow cylinder that fits over one end of a nut or bolt head. It may include a handle, if it does not then it is often just referred to as a socket and is usually used with various drive tools to make it a wrench or spanner such as a ratchet handle, a tee bar (sliding tommy bar) bar or a knuckle bar (single axis pivot). It generally has a six-point, eight-point or twelve-point recess, may be shallow or deep, and may have a built-in universal joint. (The photo shows both ratchet and sockets.) socket Breaker bar.jpg breaker bar break-over handle knuckle bar jointed nut spinner flex head nut spinner Power Bar This tool is a long non-ratcheting bar that allows the user to impart considerable torque to fasteners, especially in cases where corrosion has resulted in a difficult-to-loosen part. socket Crow's foot wrench.jpg crowfoot wrench crow's-foot wrench crow's foot A type of socket designed to fit some of the same drive handles as the regular socket but non-cylindrical in shape. The ends are the same as those found on the open-end, box-end, or the flare-nut wrenches. These sockets use for use where space restrictions preclude the use of a regular socket. Also used in place of conventional open/box wrenches where the wrenches are large, so the crow's-foot wrench is much cheaper, or where space and weight are at a premium, for example mobile tools. socket Socket wrench and sockets.JPG ratchet wrench ratchet handle It contains a one-way mechanism which allows the socket to be turned without removing it from the nut or bolt simply by cycling the handle backward and forward. (The photo shows both ratchet and sockets.) socket Speed wrench.jpg speed handle speed wrench speed handle crank handle speed brace A crank-shaped handle that drives a socket. The socket-driving analog of the brace used to drive a drill bit. Used instead of a ratchet in a few contexts when it can save substantial time and effort—that is, when there is a lot of turning to be done (many fasteners), ample room to swing the handle, ample access to the fastener heads, etc. Has less leverage than a conventional ratchet wrench. Used occasionally in automotive repair or job shop work. socket Dinamometrica digital.jpg torque wrench torque wrench A socket wrench drive tool that is employed to impart a precise amount of torque to a fastener, essential in many cases during the assembly of precision mechanisms. socket Allen wrench and screw (PSF).png Allen wrench Allen key hex key L wrench Allen key A wrench used to turn screw or bolt heads designed with a hexagonal socket (recess) to receive the wrench. The wrenches come in two common forms: L-shaped and T-handles. The L-shaped wrenches are formed from hexagonal wire stock, while the T-handles are the same hex wire stock with a metal or plastic handle attached to the end. There are also indexable-driver-bits that can be used in indexable screwdrivers. keys Screw Head - Bristol.svg Bristol wrench Bristol spline wrench ? Another wrench designed for internal socket-head screws and bolts. The cross-section resembles a square-toothed gear. Not a common design, it is chiefly used on small set screws. keys Torx 01 KMJ.jpg Torx wrench Torx key An internal socket-head screw design. The cross-section resembles a star. Commonly used in automobiles, automated equipment, and computer components as it is resistant to wrench cam-out and so suitable for use in the types of powered tools used in production-line assembly. keys Alligator wrench 002.png alligator wrench ? A formerly common type of wrench that was popular with mechanics, factory workers, and farmers for maintenance, repair and operations tasks in the days when fasteners often had square rather than hex heads. The wrench's shape suggests the open mouth of an alligator. historical ConeWrenches.jpg cone wrench cone spanner A thin open-end wrench used to fit narrow wrench flats of adjustable bearing bicycle hubs. Called a "cone" wrench because it fits wrench flats of the cone section of a "cup and cone" hub, this tool is also used with some other adjustable hub bearings. The wrench is very thin so has little strength; to compensate, cone wrenches typically have a large head. Most bicycle front hubs use a 13 mm; most rears use 15 mm. specialty Die wrench handle holding a die, plus a second die..jpg die-stock die wrench[citation needed] die stock die holder A double-handled wrench for turning the dies used in threading operations (cutting the male threads such as on a bolt). specialty CleBatterieRock.JPG drum key lug wrench drum wrench drum key A small, square-head socket wrench used on drum (percussion musical instrument) tuning lugs and fasteners. This key is often interchangeable with radiator bleed keys. specialty Kluc rurkovy.jpg spark plug wrench box spanner tube spanner spark plug spanner A tube with six-sided sockets on both ends. It is turned with a short length of rod (tommy bar or T bar) inserted through two holes in the middle of the tube. common drum wrench bung wrench ? A tool commonly used to open bungs on large 55-gallon drums (cylindrical containers). specialty fire hydrant wrench (hose connection) ? The hose connection has a threaded collar with a protruding pin. From the handle of the wrench an arc has at its end a loop to engage the pin. specialty Fire Hydrant Key fire hydrant wrench (valve operator) ? This is a pentagonal (five-sided) box wrench. The unusual shape of the lug makes the valve tamper-resistant: with the opposite faces nonparallel, unauthorized opening of the hydrant is more difficult without a suitable tool. specialty Curb key curb key Toby key This is a wrench for opening and closing valves on municipal water pipes (often at the curb, hence the name). The valve usually has a rectangular lug and is set deep into the ground, requiring the key. specialty golf shoe spike wrench ? A T-handle wrench with two pins and clearance for the spike—allows removal and insertion of spikes in shoes. specialty head nut wrench ? A flat wrench with a circular hole and two inward protruding pins to engage slots in the nut. This type of nut is used on bicycles to secure the front fork pivot bearing to the headpiece of the frame. specialty Kreuzschlüssel.jpg 4-way lug wrench wheel lug cross wrench cross rim wrench spider wrench wheel brace A socket wrench used to turn lug nuts on automobile wheels. specialty Oil-filter-wrench.jpg Oil filter wrench 002B.jpg oil-filter wrench oil filter wrench chain wrench A type of wrench for removing cylindrical oil filters. It may be either a strap-type wrench or a socket. specialty Plumber key.jpg plumber wrench multigrips multigrip pliers A tool to screw (rotate with force) various pipes during plumbing. specialty ? rigger-jigger A spanner used in attaching riggers to rowing boats with offset to allow users fingers to keep grip when flush with boat. 10 mm at one end, 13 mm at the other. specialty Sink wrench.jpg basin wrench sink wrench basin wrench A self-tightening wrench mounted at the end of a shaft with a transverse handle at the opposite end. Used to tighten or loosen fasteners located in recesses. specialty Tiengaatssleutel.jpg dogbone wrench dumbbell spanner A compact spanner for multiple sizes, usually used for bicycles specialty Fahrrad-Speichenschlüssel 1792.JPG spoke wrench nipple wrench spoke key A wrench with a clearance slot for a wire wheel spoke such as a bicycle wheel and a drive head for the adjustment nipple nut. The handle is offset to make the wrench more convenient to grip, and the handle is short to fit between spokes, allowing the wrench to turn 360 degrees without being removed. specialty Spud wrench aka construction wrench from Colvin and Stanley 1910 p65.png spud wrench podging spanner podger A steel erecting tool which consists of a normal wrench at one end and a spike (drift pin) at the other, used for lining up bolt holes (typically when mating two pipe flanges). specialty Chain whip tool.jpg chain whip A self-tightening wrench that engages the teeth of a chain drive sprocket, and used typically to remove bicycle cogsets. Similar to a strap wrench, but uses positive engagement rather than friction, and so needs to grab only one end of the chain. specialty tuning wrench (also called a tuning lever or tuning hammer) is a specialized socket wrench used to tune string instruments such as the piano, harp, and hammer dulcimer, that have strings wrapped around tuning pins. Other string instruments do not require a tuning wrench because their tuning pins or pegs come with handles (as with the violin), or geared tuning machines (as with the guitar or banjo). Tuning wrench sockets may be square shaped or 8-pointed star shaped, and are found in two basic sizes: a large size for pianos, and a smaller size for most other instruments. For pianos, there are some gradations of size, and several lengths are generally available, and unlike machine-screw sockets which have no taper, piano sockets have a slight taper, to fit tapered tuning pins. Impact piano tuning levers differ from traditional levers in that they are fitted with a weight at the end of the handle. The tuner flicks the lever with his or her wrist, causing the weight to do the actual work of moving the tuning pin. Tuning wrench sockets are often attached snugly to the handle with fine-gauge machine-screw threads, to provide a very firm, immobile joint; this is contrast to the square snap-on joints found in sockets used for machinery. Unlike most socket wrenches, tuning wrenches usually have a comfortable wood or nylon handle. They are found in two basic shapes: L-shaped and T-shaped. L-shaped handles for pianos are available in several angles that are not quite right angles, provide greater leverage than T-shaped handles, and the angle provides clearance for the handle over adjacent pins, allowing a very short (and stiff) socket to be used. A short, stiff Elizabeth in crown and robes next to her husband in military uniform Coronation portrait of Queen Elizabeth II and the Duke of Edinburgh, June 1953 Coronation of Elizabeth II Main article: Coronation of Queen Elizabeth II During 1951, George VI's health declined and Elizabeth frequently stood in for him at public events. When she toured Canada and visited President Harry S. Truman in Washington, D.C., in October 1951, her private secretary, Martin Charteris, carried a draft accession declaration in case the King died while she was on tour.[55] In early 1952, Elizabeth and Philip set out for a tour of Australia and New Zealand by way of Kenya. On 6 February 1952, they had just returned to their Kenyan home, Sagana Lodge, after a night spent at Treetops Hotel, when word arrived of the death of the King and consequently Elizabeth's immediate accession to the throne. Philip broke the news to the new Queen.[56] Martin Charteris asked her to choose a regnal name; she chose to remain Elizabeth, "of course".[57] She was proclaimed queen throughout her realms and the royal party hastily returned to the United Kingdom.[58] She and the Duke of Edinburgh moved into Buckingham Palace.[59] With Elizabeth's accession, it seemed probable that the royal house would bear her husband's name, becoming the House of Mountbatten, in line with the custom of a wife taking her husband's surname on marriage. British Prime Minister Winston Churchill and Elizabeth's grandmother, Queen Mary, favoured the retention of the House of Windsor, and so on 9 April 1952 Elizabeth issued a declaration that Windsor would continue to be the name of the royal house. The Duke complained, "I am the only man in the country not allowed to give his name to his own children."[60] In 1960, after the death of Queen Mary in 1953 and the resignation of Churchill in 1955, the surname Mountbatten-Windsor was adopted for Philip and Elizabeth's male-line descendants who do not carry royal titles.[61] Amid preparations for the coronation, Princess Margaret informed her sister that she wished to marry Peter Townsend, a divorcé‚ 16 years Margaret's senior, with two sons from his previous marriage. The Queen asked them to wait for a year; in the words of Martin Charteris, "the Queen was naturally sympathetic towards the Princess, but I think she thought—she hoped—given time, the affair would peter out."[62] Senior politicians were against the match and the Church of England did not permit remarriage after divorce. If Margaret had contracted a civil marriage, she would have been expected to renounce her right of succession.[63] Eventually, she decided to abandon her plans with Townsend.[64] In 1960, she married Antony Armstrong-Jones, who was created Earl of Snowdon the following year. They were divorced in 1978; she did not remarry.[65] Despite the death of Queen Mary on 24 March, the coronation on 2 June 1953 went ahead as planned, as Mary had asked before she died.[66] The ceremony in Westminster Abbey, with the exception of the anointing and communion, was televised for the first time.[67][d] Elizabeth's coronation gown was embroidered on her instructions with the floral emblems of Commonwealth countries:[71] English Tudor rose; Scots thistle; Welsh leek; Irish shamrock; Australian wattle; Canadian maple leaf; New Zealand silver fern; South African protea; lotus flowers for India and Ceylon; and Pakistan's wheat, cotton, and jute.[72] Continuing evolution of the Commonwealth Further information: Historical development of the Commonwealth realms, from the Queen's accession The Commonwealth realms (pink) and their territories and protectorates (red) at the beginning of Elizabeth II's reign A formal group of Elizabeth in tiara and evening dress with eleven politicians in evening dress or national costume. Elizabeth II and Commonwealth leaders at the 1960 Commonwealth Conference, Windsor Castle From Elizabeth's birth onwards, the British Empire continued its transformation into the Commonwealth of Nations.[73] By the time of her accession in 1952, her role as head of multiple independent states was already established.[74] Spanning 1953–54, the Queen and her husband embarked on a six-month around-the-world tour. She became the first reigning monarch of Australia and New Zealand to visit those nations.[75] During the tour, crowds were immense; three-quarters of the population of Australia were estimated to have seen her.[76] Throughout her reign, the Queen has undertaken state visits to foreign countries and tours of Commonwealth ones and she is the most widely travelled head of state.[77] In 1956, French Prime Minister Guy Mollet and British Prime Minister Sir Anthony Eden discussed the possibility of France joining the Commonwealth. The proposal was never accepted and the following year France signed the Treaty of Rome, which established the European Economic Community, the precursor of the European Union.[78] In November 1956, Britain and France invaded Egypt in an ultimately unsuccessful attempt to capture the Suez Canal. Lord Mountbatten claimed the Queen was opposed to the invasion, though Eden denied it. Eden resigned two months later.[79] The absence of a formal mechanism within the Conservative Party for choosing a leader meant that, following Eden's resignation, it fell to the Queen to decide whom to commission to form a government. Eden recommended that she consult Lord Salisbury, the Lord President of the Council. Lord Salisbury and Lord Kilmuir, the Lord Chancellor, consulted the British Cabinet, Winston Churchill, and the Chairman of the backbench 1922 Committee, resulting in the Queen appointing their recommended candidate: Harold Macmillan.[80] The Suez crisis and the choice of Eden's successor led in 1957 to the first major personal criticism of the Queen. In a magazine, which he owned and edited,[81] Lord Altrincham accused her of being "out of touch".[82] Altrincham was denounced by public figures and slapped by a member of the public appalled by his comments.[83] Aleksejs Širovs born – chess player Andris Škele born – politician Prime Minister of Latvia Armands Škele – basketball player Ksenia Solo born – actress Ernests Štalbergs – – architect ensemble of the Freedom Monument Izaks Nahmans Šteinbergs – – politician lawyer and author Maris Štrombergs – BMX cyclist gold medal winner at and Olympics T edit Esther Takeuchi born – materials scientist and chemical engineer Mihails Tals – – the th World Chess Champion Janis Roberts Tilbergs – – painter sculptor U edit Guntis Ulmanis born – president of Latvia Karlis Ulmanis – – prime minister and president of Latvia


abby-lane abby-rode abigail-clayton ada-tauler addie-juniper addison-cain adele-wiesenthal adeline-lange adeline-pollicina adriana-amante adrianna-laurenti adrianna-russo agnes agnes-ardant agnes-zalontai aimee-addison aisha-sun aja aleena-ferari alessandra-schiavo aletta-ocean alexandra-nice alexandria-cass alexa-parks alex-dane alex-foxe alexia-knight alexis-devell alexis-firestone alexis-greco alexis-payne alexis-x alex-storm alex-white aliana-love alice-springs alicia-alighatti alicia-monet alicia-rio alicyn-sterling alighiera-olena ali-moore aline-santos alissa-ashley allysin-chaynes alysin-embers alyssa-love alyssa-reece amanda-addams amanda-blake amanda-blue amanda-jane-adams amanda-rae amanda-stone amanda-tyler amber-hunt amberlina-lynn amber-lynn amber-michaels amber-peach amber-wild amber-woods ambrosia-fox amia-miley ami-rodgers amy-allison amy-brooke amy-rose amy-starz anastasia-christ anastasia-sands andrea-adams andrea-brittian andrea-lange andrea-true andy angel angela-baron angela-summers angel-barrett angel-cash angel-cruz angel-cummings angel-ducharme angelica-sin angelika-reschner angelina-brasini angelina-korrs angelina-valentine angel-kelly angel-long angel-west angie-knight anita-andic anita-blond anita-cannibal anita-dark anna-belle anna-malle anna-nikova anna-pierce anna-ventura anna-veruska anne-bie-warburg anne-libert anne-magle anne-sand annette-haven annie-sprinkle ann-kiray ann-marie-michelle antonia-dorian april-flowers april-may april-west arcadia-lake ariana-bali ariana-jollee arlana-blue ashley-anne ashley-brooks ashley-coda ashley-fires ashley-lauren ashley-long ashley-marie ashley-nicole ashley-perk ashley-renee ashley-robbins ashley-welles ashley-wells ashley-winger ashlyn-gere astrid-bone athena-star aubrey-nichols aurora aurora-snow autumn-bliss autumn-rayne ava-devine ava-lauren avalon ava-marteens avy-lee-roth bailey-monroe bambi-allen barbara-bourbon barbara-boutet barbara-dare barbara-doll barbara-moose barbarella barbie-angel barbie-doll barett-moore bea-fiedler beata beatrice-poggi beatrice-valle becky-savage becky-sunshine belinda-butterfield bella-donna bethany-sweet beverly-bliss beverly-glen biggi-stenzhorn bionca black-widow blond-cat blondi blue-angel bobbi-bliss bobbi-dean bobbie-burns bonnie-holiday brandee brandi-edwards brandy-alexandre brandy-dean brandy-lee brandy-smile brandy-wine bree-anthony breezy-lane brenda-basse briana-blair bridgette-belle bridgette-monet bridgette-monroe bridget-waters brigitte-lahaie brigitte-monnin brigitte-verbecq brittany brittany-stryker britt-corvin britt-morgan bronze brooke-bennett brooke-fields brooke-haven brooke-west brook-van-buuren buffy-davis bunnie-blake bunny-bleu bunny-hatton busty-belle cali-caramel calisyn-heart cameo cameron-love camila-sampaio camilla-rhodes camille-morgan camrie-foxxx candace-daley candi candida-royalle candie-evens candi-summers candy-apples candy-barr candy-hill candy-samples candy-stanton cara-lott caressa-savage carmel-nougat carmen-blonde carmen-de-la-torre carmen-moore carmen-rose carol-connors carol-cross carol-cummings carole-dubois carole-gire carole-pierac carol-titian carolyn-connoly carolyn-monroe carrie-cruise cassandra-leigh cassidy cassie-courtland cataline-bullock catherine-count catherine-crystal catherine-ringer catherine-tailleferre cathy-delorme cathy-menard cathy-stewart celeste-fox celine-gallone chanel-preston chanel-price chantal-virapin chanta-rose chantelle-stevens charisma charisma-cole charlie-latour charlie-waters charlotte-de-castille charmane-star chasey-lain chayse-manhattan chaz-vincent chelsea-sinclaire chennin-blanc cheri-janvier cheri-taylor cherry-hill chessie-moore cheyenne-hunter cheyenne-silver china-lee china-leigh china-moon chloe-cruize chloe-dior chloe-kez chloe-stevens chris-collins chris-jordan chris-petersen chrissie-beauchamp christa-abel christa-ludwig christie-ford christi-lake christina-berg christina-blond christina-evol christina-skye christine-black christine-chavert christine-neona christine-rigoler christy-canyon cicciolina cindi-stephens cindy-carver cindy-crawford cindy-more cindy-shepard cindy-wong cinthya-marinho clair-dia claire-robbins claude-janna claudia-jackson claudia-jamsson claudia-mehringer claudia-nero claudia-van-statt claudia-zante claudine-beccarie clea-carson cleo-nichole cleo-patra cody-lane cody-love cody-nicole coffee-brown colleen-brennan connie-bennett connie-peterson constance-money copper-penny coreena corey-everson corinne-lemoine corneliah cory-everson cory-wolf courtney courtney-cummz courtney-james cris-cassidy crissy-moran cris-taliana crystal-breeze crystal-dawn crystal-holland crystal-knight crystal-lake crystal-lovin crystal-sync csilla-kalnay cuban-bee cynara-fox cyndee-summers cynthia-black cynthia-brooks cynthia-hammers cynthia-lavigne dagmar-lost daisy-layne dallas-miko dana-dylan dana-lynn danica-rhea daniela-nanou daniela-schiffer daniele-troeger daniella daniella-schiffer danielle danielle-foxxx danielle-rodgers danny-ricci danyel-cheeks daphne daphne-rosen darby-lloyd-rains darla-crane darla-delovely davia-ardell dayton-rain debbie-northrup debbie-revenge debbie-van-gils debi-diamond debi-jointed debra-lynn deidra-hopkins deidre-holland delania-raffino delia-moore delphine-thail delta-force delta-white demi-moor denice-klarskov denise-derringer denise-dior denise-sloan desiree-cousteau desiree-foxx desiree-lane desiree-west deva-station devin-devasquez devinn-lane devon-shire dia diana-holt diana-kisabonyi diana-siefert diana-stevenson diane-dubois diane-richards diane-sloan diane-suresne dido-angel dillan-lauren dina-deville dina-jewel dina-pearl ditty-blue diva divinity-love djiana dolly-darkley dominique dominique-dewitt dominique-saint-claire donna-hart donna-marie dorle-buchner dorothy-lemay dorothy-onan drea drimla dru-berrymore dusty-rose dyanna-lauren ebony-ayes edina-blond edita-ungerova edwige-faillel eileen-wells elaine-southern elena-berkova elena-maria-ricci eleonore-melzer elisabeth-bure elis-black elise elise-di-medici elle-devyne elle-rio elodie-delage elsa-maroussia elza-brown emili-doll emily-evermoore emily-george emily-jewel emmanuelle-pareze envy-mi erica-boyer erica-eaton erica-havens erica-idol erica-lauren erika-bella erika-cool erika-heaven erika-lockett esme-monroe eva-allen eva-angel eva-dionisio eva-gross eva-kleber eva-lux eva-uettori eve-laurence evelyne-lang evie-delatosso fabiana-venturi faith-stevens fallon fanny-garreau fanny-steel faye-runaway flame flick-shagwell flore-soller flower france-lomay france-quenie francoise frankie-leigh gabriella gabriella-mirelba gabriella-vincze gail-force gail-palmer gail-sterling georgette-saunders georgia-peach georgina-spelvin gia-givanna gianna-lynn gili-sky gina-carrera gina-gianetti gina-janssen gina-lee gina-martell gina-valentino ginger-jay ginger-lee ginger-lynn ginny-noack giovanna gisela-schwarz giselle-monet gladys-laroche gloria-leonard gloria-todd golden-jade greta-carlson greta-milos guia-lauri-filzi gwenda-farnel hare-krane harley-raine hayley-jade hazel-young heather-deeley heather-ellis heather-hart heather-lere heather-lyn heather-manfield heather-thomas heather-torrance heather-wayne heather-young helen-madigan helen-thomas helga-sven helga-wild hillary-summers holly-hollywood holly-joy holly-page holly-ryder honey-winter hottie-hollie hyapatia-lee ida-fabry ildiko-smits illana-moor ines-ridere ingrid-choray isabella-dior isabella-soprano isabelle-allay isabelle-brell isabelle-marchall isobel-wren iveta ivette-blanche jackie-right jacqueline-lorians jacy-allen jada-stevens jade-east jade-hsu jade-marcela jade-summers jade-wong jahn-gold jamie-brooks jamie-james jamie-summers jana-irrova jana-mrazkova jane-baker jane-darling jane-iwanoff jane-lindsay jane-lixx janet-jacme janey-robbins jasmine-delatori jayden-simone jaylyn-rose jayna-woods jazella-moore jazmin-luna-gold jean-afrique jeanette-littledove jeanie-marie-sullivan jean-jennings jeanna-fine jeannie-pepper jenna-jameson jenna-jane jenna-presley jenna-wells jennifer-haussmann jennifer-janes jennifer-jordan jennifer-morante jennifer-noxt jennifer-stewart jennifer-welles jennifer-west jenny jenny-feeling jenny-fields jenny-wings jersey-jaxin jesie-st-james jesse-capelli jessica-bangkok jessica-bogart jessica-darlin jessica-fiorentino jessica-gabriel jessica-laine jessica-may jessica-road jessica-wylde jessi-foster jill-ferari jill-kelly joana-redgrave joan-devlon joanna-storm joanna-sweet jody-maxwell joelle-lequement joelle-petinot johnni-black jordana-james jordan-green jordan-nevaeh jordan-star josephine-carrington joslyn-james julia-chanel julia-dal-fuoco juliana-grandi julia-paes julia-parton julia-perrin julia-swen julia-thomas julie-meadows julie-rage julie-simone juliet-anderson juliet-graham juliette-carelton kacey-jordan kagney-linn-karter kaitlyn-ashley kalena-rios kami-andrews kamila-smith kandee-licks kandi-barbour kapri-styles kara-nox karen-summer kari-foxx karine-gambier karin-schubert karli-sweet karmen-kennedy karol-castro kascha kassi-nova kat kate-frost kate-jones kathia-nobili kathleen-gentry kathleen-white kathy-divan kathy-harcourt kathy-heart kathy-kash katie-cummings katja-love kat-langer katrina-isis katrina-kraven katy-borman katy-caro kaycee-dean kayla-kupcakes kay-parker k-c-valentine keama-kim keira-moon keisha keli-richards kelli-tyler kelly-adams kelly-blue kelly-broox kelly-hearn kelly-kay kelly-kline kelly-nichols kelly-royce kelly-skyline kendra-kay kenzi-marie keri-windsor ketthy-divan kianna-dior kiley-heart kim-alexis kimber-blake kimberly-carson kimberly-kane kimberly-kyle kim-de-place kim-holland kimi-gee kimkim-de kim-kitaine kimmie-lee kimmy-nipples kina-kara kira-eggers kira-red kirsty-waay kitty-langdon kitty-lynxxx kitty-marie kitty-shayne kitty-yung kora-cummings kris-lara krista-lane krista-maze kristara-barrington kristarah-knight kristi-klenot kristina-blonde kristina-king kristina-klevits kristina-soderszk kristine-heller kristin-steen krisztina-ventura krystal-de-boor krystal-steal kylee-karr kylee-nash kylie-brooks kylie-channel kylie-haze kylie-wylde kym-wilde kyoto-sun lachelle-marie lacy-rose lady-amanda-wyldefyre lady-stephanie laetitia-bisset lana-burner lana-cox lana-wood lara-amour lara-roxx lara-stevens lataya-roxx latoya laura-clair laura-lazare laura-lion laura-may laura-orsolya laura-paouck laura-zanzibar lauren-black laurence-boutin lauren-montgomery laurien-dominique laurien-wilde laurie-smith lauryl-canyon lauryn-may leah-wilde lea-magic lea-martini leanna-foxxx lee-caroll leigh-livingston leilani lenora-bruce leslie-winston lesllie-bovee letizia-bruni lexi-lane lexi-matthews lezley-zen lia-fire liliane-gray liliane-lemieuvre lili-marlene lily-gilder lily-labeau lily-rodgers lily-valentine linda-shaw linda-vale linda-wong linnea-quigley lisa-bright lisa-de-leeuw lisa-k-loring lisa-lake lisa-melendez lisa-sue-corey lise-pinson little-oral-annie liza-dwyer liza-harper lizzy-borden logan-labrent lois-ayres lola-cait long-jean-silver loni-bunny loni-sanders loona-luxx lorelei-lee lorelei-rand lorena-sanchez lori-alexia lori-blue lorrie-lovett luci-diamond lucie-doll lucie-theodorova lucy-van-dam lydia-baum lynn-franciss lynn-lemay lynn-ray lynn-stevens lynx-canon lysa-thatcher madelina-ray madison-parker magdalena-lynn maggie-randall mai-lin mandi-wine mandy-bright mandy-malone mandy-may mandy-mistery mandy-starr marcia-minor maren margit-ojetz margitta-hofer margo-stevens margot-mahler mariah-cherry marianne-aubert maria-tortuga marie-anne marie-christine-chireix marie-christine-veroda marie-claude-moreau marie-dominique-cabannes marie-france-morel marie-luise-lusewitz marie-sharp marilyn-chambers marilyne-leroy marilyn-gee marilyn-jess marilyn-martyn marilyn-star marina-hedman marion-webb marita-ekberg marita-kemper marlena marlene-willoughby marry-queen martine-grimaud martine-schultz maryanne-fisher mary-hubay mary-ramunno mary-stuart mascha-mouton maud-kennedy mauvais-denoir maxine-tyler maya-black maya-france megan-leigh megan-martinez megan-reece mei-ling melanie-hotlips melanie-scott melba-cruz melinda-russell melissa-bonsardo melissa-del-prado melissa-golden melissa-martinez melissa-melendez melissa-monet mercedes-dragon mercedes-lynn merle-michaels mesha-lynn mia-beck mia-lina mia-smiles michele-raven michelle-aston michelle-ferrari michelle-greco michelle-maren michelle-maylene michelle-monroe micki-lynn mika-barthel mika-tan mikki-taylor mimi-morgan mindy-rae ming-toy miranda-stevens miss-bunny miss-meadow miss-pomodoro missy missy-graham missy-stone missy-vega misti-jane mistress-candice misty-anderson misty-dawn misty-rain misty-regan mona-lisa mona-page moni monica-baal monica-swinn monika-peta monika-sandmayr monika-unco monique-bruno monique-cardin monique-charell monique-demoan monique-gabrielle monique-la-belle morgan-fairlane morrigan-hel moxxie-maddron mulani-rivera mysti-may nadege-arnaud nadia-styles nadine-bronx nadine-proutnal nadine-roussial nadi-phuket nanci-suiter nancy-hoffman nancy-vee natacha-delyro natalia-wood natalli-diangelo natascha-throat natasha-skyler naudia-nyce nessa-devil nessy-grant nesty nicki-hunter nicky-reed nicole-berg nicole-bernard nicole-black nicole-grey nicole-london nicole-parks nicole-scott nicole-taylor nicolette-fauludi nicole-west nika-blond nika-mamic niki-cole nikita-love nikita-rush nikki-charm nikki-grand nikki-king nikki-knight nikki-randall nikki-rhodes nikki-santana nikki-steele nikki-wilde niko nina-cherry nina-deponca nina-hartley nina-preta oana-efria obaya-roberts olesja-derevko olga-cabaeva olga-conti olga-pechova olga-petrova olivia-alize olivia-del-rio olivia-flores olivia-la-roche olivia-outre ophelia-tozzi orchidea-keresztes orsolya-blonde paige-turner paisley-hunter pamela-bocchi pamela-jennings pamela-mann pamela-stanford pamela-stealt pandora paola-albini pascale-vital pat-manning pat-rhea patricia-dale patricia-diamond patricia-kennedy patricia-rhomberg patrizia-predan patti-cakes patti-petite paula-brasile paula-harlow paula-morton paula-price paula-winters pauline-teutscher penelope-pumpkins penelope-valentin petra-hermanova petra-lamas peyton-lafferty phaedra-grant pia-snow piper-fawn pipi-anderson porsche-lynn porsha-carrera precious-silver priscillia-lenn purple-passion queeny-love rachel-ashley rachel-love rachel-luv rachel-roxxx rachel-ryan rachel-ryder racquel-darrian rane-revere raven reagan-maddux rebecca-bardoux regan-anthony regine-bardot regula-mertens reina-leone reka-gabor renae-cruz renee-foxx renee-lovins renee-morgan renee-perez renee-summers renee-tiffany rhonda-jo-petty rikki-blake riley-ray rio-mariah rita-ricardo roberta-gemma roberta-pedon robin-byrd robin-cannes robin-everett robin-sane rochell-starr rosa-lee-kimball rosemarie roxanne-blaze roxanne-hall roxanne-rollan ruby-richards sabina-k sabre sabrina-chimaera sabrina-dawn sabrina-jade sabrina-johnson sabrina-love-cox sabrina-mastrolorenzi sabrina-rose sabrina-scott sabrina-summers sacha-davril sahara sahara-sands sai-tai-tiger samantha-fox samantha-ryan samantha-sterlyng samantha-strong samueline-de-la-rosa sandra-cardinale sandra-de-marco sandra-kalermen sandra-russo sandy-lee sandy-pinney sandy-reed sandy-samuel sandy-style sandy-summers sara-brandy-canyon sara-faye sarah-bernard sarah-cabrera sarah-hevyn sarah-mills sarah-shine sara-sloane sasha sasha-hollander sasha-ligaya sasha-rose satine-phoenix satin-summer savannah-stern savanna-jane scarlet-scarleau scarlet-windsor seka selena serena serena-south severine-amoux shana-evans shanna-mccullough shannon-kelly shannon-rush shantell-day sharon-da-vale sharon-kane sharon-mitchell shaun-michelle shawna-sexton shawnee-cates shay-hendrix shayne-ryder sheena-horne sheer-delight shelby-star shelby-stevens shelly-berlin shelly-lyons sheri-st-clair sheyla-cats shonna-lynn shyla-foxxx shy-love sierra-sinn sierra-skye sigrun-theil silver-starr silvia-bella silvia-saint silvie-de-lux silvy-taylor simone-west sindee-coxx sindy-lange sindy-shy siobhan-hunter skylar-knight skylar-price skyler-dupree smokie-flame smoking-mary-jane solange-shannon sonya-summers sophia-santi sophie-call sophie-duflot sophie-evans sophie-guers stacey-donovan stacy-lords stacy-moran stacy-nichols stacy-silver stacy-thorn starla-fox starr-wood stefania-bruni stella-virgin stephanie-duvalle stephanie-rage stephanie-renee stevie-taylor summer-knight summer-rose sunny-day sunset-thomas sunshine-seiber susan-hart susanne-brend susan-nero susi-hotkiss suzanne-mcbain suzan-nielsen suzie-bartlett suzie-carina suzi-sparks sweet-nice sweety-pie sybille-rossani sylvia-benedict sylvia-bourdon sylvia-brand sylvia-engelmann syreeta-taylor syren-de-mer syvette szabina-black szilvia-lauren tai-ellis taija-rae taisa-banx talia-james tamara-lee tamara-longley tamara-n-joy tamara-west tami-white tammy tammy-lee tammy-reynolds tania-lorenzo tantala-ray tanya-danielle tanya-fox tanya-foxx tanya-lawson tanya-valis tara-aire tasha-voux tatjana-belousova tatjana-skomorokhova tawnee-lee tawny-pearl tayla-rox taylor-wane teddi-austin teddi-barrett tera-bond tera-heart tera-joy teresa-may teresa-orlowski teri-diver teri-weigel terri-dolan terri-hall tess-ferre tess-newheart thais-vieira tia-cherry tianna tiara tiffany-blake tiffany-clark tiffany-duponte tiffany-rayne tiffany-rousso tiffany-storm tiffany-towers tiffany-tyler tiger-lily tigr timea-vagvoelgyi tina-blair tina-burner tina-evil tina-gabriel tina-loren tina-marie tina-russell tish-ambrose tommi-rose tonisha-mills topsy-curvey tori-secrets tori-sinclair tori-welles tracey-adams traci-lords traci-topps traci-winn tracy-duzit tracy-love tracy-williams tricia-devereaux tricia-yen trinity-loren trisha-rey trista-post trixie-tyler ultramax ursula-gaussmann ursula-moore uschi-karnat valentina valerie-leveau valery-hilton vanessa-chase vanessa-del-rio vanessa-michaels vanessa-ozdanic vanilla-deville velvet-summers veri-knotty veronica-dol veronica-hart veronica-hill veronica-rayne veronica-sage veronika-vanoza via-paxton vicky-lindsay vicky-vicci victoria-evans victoria-gold victoria-knight victoria-luna victoria-paris victoria-slick victoria-zdrok viper virginie-caprice vivian-valentine vivien-martines wendi-white wendy-divine whitney-banks whitney-fears whitney-wonders wonder-tracey wow-nikki xanthia-berstein yasmine-fitzgerald yelena-shieffer yvonne-green zara-whites zsanett-egerhazi zuzie-boobies





socket enables a better feel and control of the tiny movements of the tuning pin, within the pin-block. T-shaped handles are used for many lower-tension instruments such as the harpsichord, harp, and dulcimer. T-shaped handles help keep torque parallel to the shaft of the tuning pin, and thus avoid bending the pin and widening the wooden hole that holds the tuning pin Oil-filter-wrench.jpg Oil filter wrench 001B.jpg strap wrench Torque, moment, or moment of force (see the terminology below) is the tendency of a force to rotate an object about an axis,[1] fulcrum, or pivot. Just as a force is a push or a pull, a torque can be thought of as a twist to an object. Mathematically, torque is defined as the cross product of the position vector of the point where the force is applied distance vector and the force vector, which tends to produce rotation. Loosely speaking, torque is a measure of the turning force on an object such as a bolt or a flywheel. For example, pushing or pulling the handle of a wrench connected to a nut or bolt produces a torque (turning force) that loosens or tightens the nut or bolt. The symbol for torque is typically \tau, the lowercase Greek letter tau. When it is called moment of force, it is commonly denoted M. The magnitude of torque depends on three quantities: the force applied, the length of the lever arm[2] connecting the axis to the point of force application, and the angle between the force vector and the lever arm. In symbols: \boldsymbol \tau = \mathbf{r}\times \mathbf{F}\,\! \tau = \|\mathbf{r}\|\,\|\mathbf{F}\|\sin \theta\,\! where \boldsymbol\tau is the torque vector and \tau is the magnitude of the torque, r is the position vector (a vector from the origin of the coordinate system defined to the point where the force is applied) F is the force vector, × denotes the cross product, ? is the angle between the force vector and the lever arm vector. The SI unit for torque is the newton metre (N·m). For more on the units of torque, see Units. Contents [hide] 1 Terminology 2 History 3 Definition and relation to angular momentum 3.1 Proof of the equivalence of definitions 4 Units 5 Special cases and other facts 5.1 Moment arm formula 5.2 Static equilibrium 5.3 Net force versus torque 6 Machine torque 7 Relationship between torque, power, and energy 7.1 Conversion to other units 7.2 Derivation 8 Principle of moments 9 Torque multiplier 10 See also 11 References 12 External links Terminology[edit] See also: Couple (mechanics) This article follows US physics terminology in its use of the word torque.[3] In the UK and in US mechanical engineering, this is called moment of force, usually shortened to moment.[4] In US physics[3] and UK physics terminology these terms are interchangeable, unlike in US mechanical engineering, where the term torque is used for the closely related "resultant moment of a couple".[4] Torque is defined mathematically as the rate of change of angular momentum of an object. The definition of torque states that one or both of the angular velocity or the moment of inertia of an object are changing. Moment is the general term used for the tendency of one or more applied forces to rotate an object about an axis, but not necessarily to change the angular momentum of the object (the concept which is called torque in physics).[4] For example, a rotational force applied to a shaft causing acceleration, such as a drill bit accelerating from rest, results in a moment called a torque. By contrast, a lateral force on a beam produces a moment (called a bending moment), but since the angular momentum of the beam is not changing, this bending moment is not called a torque. Similarly with any force couple on an object that has no change to its angular momentum, such moment is also not called a torque. This article follows the US physics terminology by calling all moments by the term torque, whether or not they cause the angular momentum of an object to change. History[edit] The concept of torque, also called moment or couple, originated with the studies of Archimedes on levers. The term torque was apparently introduced into English scientific literature by James Thomson, the brother of Lord Kelvin, in 1884.[5] Definition and relation to angular momentum[edit] A particle is located at position r relative to its axis of rotation. When a force F is applied to the particle, only the perpendicular component F? produces a torque. This torque t = r × F has magnitude t = |r|?|F?| = |r|?|F|?sin? and is directed outward from the page. A force applied at a right angle to a lever multiplied by its distance from the lever's fulcrum (the length of the lever arm) is its torque. A force of three newtons applied two metres from the fulcrum, for example, exerts the same torque as a force of one newton applied six metres from the fulcrum. The direction of the torque can be determined by using the right hand grip rule: if the fingers of the right hand are curled from the direction of the lever arm to the direction of the force, then the thumb points in the direction of the torque.[6] More generally, the torque on a particle (which has the position r in some reference frame) can be defined as the cross product: \boldsymbol{\tau} = \mathbf{r} \times \mathbf{F}, where r is the particle's position vector relative to the fulcrum, and F is the force acting on the particle. The magnitude t of the torque is given by \tau = rF\sin\theta,\! where r is the distance from the axis of rotation to the particle, F is the magnitude of the force applied, and ? is the angle between the position and force vectors. Alternatively, \tau = rF_{\perp}, where F? is the amount of force directed perpendicularly to the position of the particle. Any force directed parallel to the particle's position vector does not produce a torque.[7] It follows from the properties of the cross product that the torque vector is perpendicular to both the position and force vectors. The torque vector points along the axis of the rotation that the force vector (starting from rest) would initiate. The resulting torque vector direction is determined by the right-hand rule.[7] The unbalanced torque on a body along axis of rotation determines the rate of change of the body's angular momentum, \boldsymbol{\tau} = \frac{\mathrm{d}\mathbf{L}}{\mathrm{d}t} where L is the angular momentum vector and t is time. If multiple torques are acting on the body, it is instead the net torque which determines the rate of change of the angular momentum: \boldsymbol{\tau}_1 + \cdots + \boldsymbol{\tau}_n = \boldsymbol{\tau}_{\mathrm{net}} = \frac{\mathrm{d}\mathbf{L}}{\mathrm{d}t}. For rotation about a fixed axis, \mathbf{L} = I\boldsymbol{\omega}, where I is the moment of inertia and ? is the angular velocity. It follows that \boldsymbol{\tau}_{\mathrm{net}} = \frac{\mathrm{d}\mathbf{L}}{\mathrm{d}t} = \frac{\mathrm{d}(I\boldsymbol{\omega})}{\mathrm{d}t} = I\frac{\mathrm{d}\boldsymbol{\omega}}{\mathrm{d}t} = I\boldsymbol{\alpha}, where a is the angular acceleration of the body, measured in rad/s2. This equation has the limitation that the torque equation describes the instantaneous axis of rotation or center of mass for any type of motion – whether pure translation, pure rotation, or mixed motion. I = Moment of inertia about the point which the torque is written (either instantaneous axis of rotation or center of mass only). If body is in translatory equilibrium then the torque equation is the same about all points in the plane of motion. A torque is not necessarily limited to rotation around a fixed axis, however. It may change the magnitude and/or direction of the angular momentum vector, depending on the angle between the velocity vector and the non-radial component of the force vector, as viewed in the pivot's frame of reference. A net torque on a spinning body therefore may result in a precession without necessarily causing a change in spin rate. Proof of the equivalence of definitions[edit] The definition of angular momentum for a single particle is: \mathbf{L} = \mathbf{r} \times \boldsymbol{p} where "×" indicates the vector cross product, p is the particle's linear momentum, and r is the displacement vector from the origin (the origin is assumed to be a fixed location anywhere in space). The time-derivative of this is: \frac{d\mathbf{L}}{dt} = \mathbf{r} \times \frac{d\boldsymbol{p}}{dt} + \frac{d\mathbf{r}}{dt} \times \boldsymbol{p}. This result can easily be proven by splitting the vectors into components and applying the product rule. Now using the definition of force \mathbf{F}=\frac{d\boldsymbol{p}}{dt} (whether or not mass is constant) and the definition of velocity \frac{d\mathbf{r}}{dt} = \mathbf{v} \frac{d\mathbf{L}}{dt} = \mathbf{r} \times \mathbf{F} + \mathbf{v} \times \boldsymbol{p}. The cross product of momentum \boldsymbol{p} with its associated velocity \mathbf{v} is zero because velocity and momentum are parallel, so the second term vanishes. By definition, torque t = r × F. Therefore, torque on a particle is equal to the first derivative of its angular momentum with respect to time. If multiple forces are applied, Newton's second law instead reads Fnet = ma, and it follows that \frac{d\mathbf{L}}{dt} = \mathbf{r} \times \mathbf{F}_{\mathrm{net}} = \boldsymbol{\tau}_{\mathrm{net}}. This is a general proof. Units[edit] Torque has dimension force times distance, symbolically L2MT-2. Official SI literature suggests using the unit newton metre (N·m) or the unit joule per radian.[8] The unit newton metre is properly denoted N·m or N m.[9] This avoids ambiguity with mN, millinewtons. The SI unit for energy or work is the joule. It is dimensionally equivalent to a force of one newton acting over a distance of one metre, but it is not used for torque. Energy and torque are entirely different concepts, so the practice of using different unit names (i.e., reserving newton metres for torque and using only joules for energy) helps avoid mistakes and misunderstandings.[8] The dimensional equivalence of these units, of course, is not simply a coincidence: A torque of 1 N·m applied through a full revolution will require an energy of exactly 2p joules. Mathematically, E= \tau \theta\ where E is the energy, t is magnitude of the torque, and ? is the angle moved (in radians). This equation motivates the alternate unit name joules per radian.[8] In Imperial units, "pound-force-feet" (lb·ft), "foot-pounds-force", "inch-pounds-force", "ounce-force-inches" (oz·in) are used, and other non-SI units of torque includes "metre-kilograms-force". For all these units, the word "force" is often left out.[10] For example, abbreviating "pound-force-foot" to simply "pound-foot" (in this case, it would be implicit that the "pound" is pound-force and not pound-mass). This is an example of the confusion caused by the use of English units that may be avoided with SI units because of the careful distinction in SI between force (in newtons) and mass (in kilograms). Torque is sometimes listed with units that do not make dimensional sense, such as the gram-centimeter. In this case, "gram" should be understood as the force given by the weight of 1 gram at the surface of the earth, i.e., 0.00980665 N. The surface of the earth is understood to have a standard acceleration of gravity (9.80665 m/s2). Special cases and other facts[edit] Moment arm formula[edit] Moment arm diagram A very useful special case, often given as the definition of torque in fields other than physics, is as follows: \tau = (\text{moment arm}) (\text{force}). The construction of the "moment arm" is shown in the figure to the right, along with the vectors r and F mentioned above. The problem with this definition is that it does not give the direction of the torque but only the magnitude, and hence it is difficult to use in three-dimensional cases. If the force is perpendicular to the displacement vector r, the moment arm will be equal to the distance to the centre, and torque will be a maximum for the given force. The equation for the magnitude of a torque, arising from a perpendicular force: \tau = (\text{distance to centre}) (\text{force}). For example, if a person places a force of 10 N at the terminal end of a wrench that is 0.5 m long (or a force of 10 N exactly 0.5 m from the twist point of a wrench of any length), the torque will be 5 N.m – assuming that the person moves the wrench by applying force in the plane of movement of and perpendicular to the wrench. The torque caused by the two opposing forces Fg and -Fg causes a change in the angular momentum L in the direction of that torque. This causes the top to precess. Static equilibrium[edit] For an object to be in static equilibrium, not only must the sum of the forces be zero, but also the sum of the torques (moments) about any point. For a two-dimensional situation with horizontal and vertical forces, the sum of the forces requirement is two equations: SH = 0 and SV = 0, and the torque a third equation: St = 0. That is, to solve statically determinate equilibrium problems in two-dimensions, three equations are used. Net force versus torque[edit] When the net force on the system is zero, the torque measured from any point in space is the same. For example, the torque on a current-carrying loop in a uniform magnetic field is the same regardless of your point of reference. If the net force \mathbf{F} is not zero, and \boldsymbol{\tau}_1 is the torque measured from \mathbf{r}_1, then the torque measured from \mathbf{r}_2 is … \boldsymbol{\tau}_2 = \boldsymbol{\tau}_1 + (\mathbf{r}_1 - \mathbf{r}_2) \times \mathbf{F} Machine torque[edit] Torque curve of a motorcycle ("BMW K 1200 R 2005"). The horizontal axis is the speed (in rpm) that the crankshaft is turning, and the vertical axis is the torque (in Newton metres) that the engine is capable of providing at that speed. Torque is part of the basic specification of an engine: the power output of an engine is expressed as its torque multiplied by its rotational speed of the axis. Internal-combustion engines produce useful torque only over a limited range of rotational speeds (typically from around 1,000–6,000 rpm for a small car). The varying torque output over that range can be measured with a dynamometer, and shown as a torque curve. Steam engines and electric motors tend to produce maximum torque close to zero rpm, with the torque diminishing as rotational speed rises (due to increasing friction and other constraints). Reciprocating steam engines can start heavy loads from zero RPM without a clutch. Relationship between torque, power, and energy[edit] If a force is allowed to act through a distance, it is doing mechanical work. Similarly, if torque is allowed to act through a rotational distance, it is doing work. Mathematically, for rotation about a fixed axis through the center of mass, W = \int_{\theta_1}^{\theta_2} \tau\ \mathrm{d}\theta, where W is work, t is torque, and ?1 and ?2 represent (respectively) the initial and final angular positions of the body.[11] It follows from the work-energy theorem that W also represents the change in the rotational kinetic energy Er of the body, given by E_{\mathrm{r}} = \tfrac{1}{2}I\omega^2, where I is the moment of inertia of the body and ? is its angular speed.[11] Power is the work per unit time, given by P = \boldsymbol{\tau} \cdot \boldsymbol{\omega}, where P is power, t is torque, ? is the angular velocity, and · represents the scalar product. Algebraically, the equation may be rearranged to compute torque for a given angular speed and power output. Note that the power injected by the torque depends only on the instantaneous angular speed – not on whether the angular speed increases, decreases, or remains constant while the torque is being applied (this is equivalent to the linear case where the power injected by a force depends only on the instantaneous speed – not on the resulting acceleration, if any). In practice, this relationship can be observed in bicycles: Bicycles are typically composed of two road wheels, front and rear gears (referred to as sprockets) meshing with a circular chain, and a derailleur mechanism if the bicycle's transmission system allows multiple gear ratios to be used (i.e. multi-speed bicycle), all of which attached to the frame. A cyclist, the person who rides the bicycle, provides the input power by turning pedals, thereby cranking the front sprocket (commonly referred to as chainring). The input power provided by the cyclist is equal to the product of cadence (i.e. the number of pedal revolutions per minute) and the torque on spindle of the bicycle's crankset. The bicycle's drivetrain transmits the input power to the road wheel, which in turn conveys the received power to the road as the output power of the bicycle. Depending on the gear ratio of the bicycle, a (torque, rpm)input pair is converted to a (torque, rpm)output pair. By using a larger rear gear, or by switching to a lower gear in multi-speed bicycles, angular speed of the road wheels is decreased while the torque is increased, product of which (i.e. power) does not change. Consistent units must be used. For metric SI units power is watts, torque is newton metres and angular speed is radians per second (not rpm and not revolutions per second). Also, the unit newton metre is dimensionally equivalent to the joule, which is the unit of energy. However, in the case of torque, the unit is assigned to a vector, whereas for energy, it is assigned to a scalar. Conversion to other units[edit] A conversion factor may be necessary when using different units of power, torque, or For example, if rotational speed (revolutions per time) is used in place of angular speed (radians per time), we multiply by a factor of 2p radians per revolution. In the following formulas, P is power, t is torque and ? is rotational speed. P = \tau \times 2 \pi \times \omega Showing units: Statics is the branch of mechanics that is concerned with the analysis of loads (force and torque, or "moment") on physical systems in static equilibrium, that is, in a state where the relative positions of subsystems do not vary over time, or where components and structures are at a constant velocity. When in static equilibrium, the system is either at rest, or its center of mass moves at constant velocity. By Newton's first law, this situation implies that the net force and net torque (also known as moment of force) on every part of the system is zero. From this constraint, such quantities as stress or pressure can be derived. The net forces equaling zero is known as the first condition for equilibrium, and the net torque equaling zero is known as the second condition for equilibrium. See statically determinate. Contents [hide] 1 Vectors 2 Force 3 Moment of a force 3.1 Moment about a point 3.2 Varignon's theorem 4 Equilibrium equations 5 Moment of inertia 6 Solids 7 Fluids 8 See also 9 Notes 10 References 11 External links Vectors[edit] Example of a beam in static equilibrium. The sum of force and moment is zero. A scalar is a quantity, such as mass or temperature, which only has a magnitude. A vector has a magnitude and a direction and obeys the parallelogram law. There are several notations to identify a vector, including: A bold faced character V An underlined character V A character with an arrow over it \overrightarrow{V}. Vectors are added using the parallelogram law or the triangle law. Vectors contain components in orthogonal bases. Unit vectors i, j, and k are, by convention, along the x, y, and z axes, respectively. Force[edit] Force is the action of one body on another. A force is either a push or a pull. A force tends to move a body in the direction of its action. The action of a force is characterized by its magnitude, by the direction of its action, and by its point of application. Thus force is a vector quantity, because its effect depends on the direction as well as on the magnitude of the action.[1] Forces are classified as either contact or body forces. A contact force is produced by direct physical contact; an example is the force exerted on a body by a supporting surface. A body force is generated by virtue of the position of a body within a force field such as a gravitational, electric, or magnetic field. An example of a body force is the weight of a body in the Earth's gravitational pull.[2] Moment of a force[edit] In addition to the tendency to move a body in the direction of its application, a force can also tend to rotate a body about an axis. The axis may be any line which neither intersects nor is parallel to the line of action of the force. This rotational tendency is known as the moment (M) of the force. Moment is also referred to as torque. Pascal's law or the principle of transmission of fluid-pressure (also Pascal's Principle[1][2][3]) is a principle in fluid mechanics that states that pressure exerted anywhere in a confined incompressible fluid is transmitted equally in all directions throughout the fluid such that the pressure variations (initial differences) remain the same.[4] The law was established by French mathematician Blaise Pascal.[5] Contents [hide] 1 Definition 2 Explanation 3 Applications of Pascal's law 4 See also 5 References A jack is a mechanical device used a as a lifting device to lift heavy loads or to apply great forces. A mechanical jack employs a screw thread for lifting heavy equipment. A hydraulic jack uses hydraulic power. The most common form is a car jack, floor jack or garage jack, which lifts vehicles so that maintenance can be performed. Jacks are usually rated for a maximum lifting capacity (for example, 1.5 tons or 3 tons). Industrial jacks can be rated for many tons of load. Contents [hide] 1 Jackscrew 1.1 Vehicle 1.2 House jack 2 Hydraulic jack 2.1 Bottle jack 3 Pneumatic jack 4 Strand jack 5 Farm jack 6 Safety standards 7 See also 8 References Jackscrew[edit] Vehicle[edit] Jackscrews are integral to the scissor jack, one of the simplest kinds of car jack still used. Scissor car jacks usually use mechanical advantage to allow a human to lift a vehicle by manual force alone. The jack shown at the right is made for a modern vehicle and the notch fits into a hard point on a unibody. Earlier versions have a platform to lift on a vehicle's frame or axle. Electrically operated car scissor jacks are powered by 12 volt electricity supplied directly from the car's cigarette lighter receptacle. The electrical energy is used to power these car jacks to raise and lower automatically. Electric jacks require less effort from the motorist for operation.[1] House jack[edit] Threaded rod, 7 inches fully extended 2.5-ton house jack that stands 24 inches from top to bottom fully threaded out A house jack, also called a screw jack, is a mechanical device primarily used to lift buildings from their foundations for repairs or relocation. A series of jacks is used and then wood cribbing temporarily supports the structure. This process is repeated until the desired height is reached. The house jack can be used for jacking carrying beams that have settled or for installing new structural beams. On the top of the jack is a cast iron circular pad that the jacking post rests on. This pad moves independently of the house jack so that it does not turn as the acme-threaded rod is turned with a metal rod. This Mindaugas – the first and only King of Lithuania – Gediminas – the ruler of Lithuania – Algirdas – the ruler together with Kestutis of Lithuania – Kestutis – the ruler together with Algirdas of Lithuania – Vytautas – the ruler of Lithuania – together with Jogaila Jogaila – the ruler of Lithuania – from to together with Vytautas the king of Poland – Jonušas Radvila – the field hetman of Grand Duchy of Lithuania – Dalia Grybauskaite – current President of Lithuania since Valdas Adamkus – President of Lithuania till Jonas Basanavicius – "father" of the Act of Independence of Algirdas Brazauskas – the former First secretary of Central Committee of Communist Party of Lithuanian SSR the former president of Lithuania after and former Prime Minister of Lithuania Joe Fine – mayor of Marquette Michigan – Kazys Grinius – politician third President of Lithuania Mykolas Krupavicius – priest behind the land reform in interwar Lithuania Vytautas Landsbergis – politician professor leader of Sajudis the independence movement former speaker of Seimas member of European Parliament Stasys Lozoraitis – diplomat and leader of Lithuanian government in exile – Stasys Lozoraitis junior – politician diplomat succeeded his father as leader of Lithuanian government in exile – Antanas Merkys – the last Prime Minister of interwar Lithuania Rolandas Paksas – former President removed from the office after impeachment Justas Paleckis – journalist and politician puppet Prime Minister after Soviet occupation Kazimiera Prunskiene – the first female Prime Minister Mykolas Sleževicius – three times Prime Minister organized

piece tilts very slightly, but not enough to render the post dangerously out of plumb. Hydraulic jack[edit] Hydraulic machines are machinery and tools that use liquid fluid power to do simple work. Heavy equipment is a common example. In this type of machine, hydraulic fluid is transmitted throughout the machine to various hydraulic motors and hydraulic cylinders and becomes pressurised according to the resistance present. The fluid is controlled directly or automatically by control valves and distributed through hoses and tubes. The popularity of hydraulic machinery is due to the very large amount of power that can be transferred through small tubes and flexible hoses, and the high power density and wide array of actuators that can make use of this power. Hydraulic machinery is operated by the use of hydraulics, where a liquid is the powering medium. Contents [hide] 1 Force and torque multiplication 2 Hydraulic circuits 3 Constant pressure and load-sensing systems 3.1 Five basic types of load-sensing systems 4 Open and closed circuits 5 Components 5.1 Hydraulic pump 5.2 Control valves 5.3 Actuators 5.4 Reservoir 5.5 Accumulators 5.6 Hydraulic fluid 5.7 Filters 5.8 Tubes, pipes and hoses 5.9 Seals, fittings and connections 6 Basic calculations 7 History 8 See also 9 References and notes 10 External links Force and torque multiplication[edit] A fundamental feature of hydraulic systems is the ability to apply force or torque multiplication in an easy way, independent of the distance between the input and output, without the need for mechanical gears or levers, either by altering the effective areas in two connected cylinders or the effective displacement (cc/rev) between a pump and motor. In normal cases, hydraulic ratios are combined with a mechanical force or torque ratio for optimum machine designs such as boom movements and trackdrives for an excavator. Examples Two hydraulic cylinders interconnected Cylinder C1 is one inch in radius, and cylinder C2 is ten inches in radius. If the force exerted on C1 is 10 lbf, the force exerted by C2 is 1000 lbf because C2 is a hundred times larger in area (S = pr˛) as C1. The downside to this is that you have to move C1 a hundred inches to move C2 one inch. The most common use for this is the classical hydraulic jack where a pumping cylinder with a small diameter is connected to the lifting cylinder with a large diameter. Pump and motor If a hydraulic rotary pump with the displacement 10 cc/rev is connected to a hydraulic rotary motor with 100 cc/rev, the shaft torque required to drive the pump is 10 times less than the torque available at the motor shaft, but the shaft speed (rev/min) for the motor is 10 times less than the pump shaft speed. This combination is actually the same type of force multiplication as the cylinder example (1) just that the linear force in this case is a rotary force, defined as torque. Both these examples are usually referred to as a hydraulic transmission or hydrostatic transmission involving a certain hydraulic "gear ratio". Hydraulic circuits[edit] A simple open center hydraulic circuit. For the hydraulic fluid to do work, it must flow to the actuator and/or motors, then return to a reservoir. The fluid is then filtered and re-pumped. The path taken by hydraulic fluid is called a hydraulic circuit of which there are several types. Open center circuits use pumps which supply a continuous flow. The flow is returned to tank through the control valve's open center; that is, when the control valve is centered, it provides an open return path to tank and the fluid is not pumped to a high pressure. Otherwise, if the control valve is actuated it routes fluid to and from an actuator and tank. The fluid's pressure will rise to meet any resistance, since the pump has a constant output. If the pressure rises too high, fluid returns to tank through a pressure relief valve. Multiple control valves may be stacked in series [1]. This type of circuit can use inexpensive, constant displacement pumps. Closed center circuits supply full pressure to the control valves, whether any valves are actuated or not. The pumps vary their flow rate, pumping very little hydraulic fluid until the operator actuates a valve. The valve's spool therefore doesn't need an open center return path to tank. Multiple valves can be connected in a parallel arrangement and system pressure is equal for all valves. Constant pressure and load-sensing systems[edit] The closed center circuits exist in two basic configurations, normally related to the regulator for the variable pump that supplies the oil: Constant pressure systems (CP-system), standard. Pump pressure always equals the pressure setting for the pump regulator. This setting must cover the maximum required load pressure. Pump delivers flow according to required sum of flow to the consumers. The CP-system generates large power losses if the machine works with large variations in load pressure and the average system pressure is much lower than the pressure setting for the pump regulator. CP is simple in design. Works like a pneumatic system. New hydraulic functions can easily be added and the system is quick in response. Constant pressure systems (CP-system), unloaded. Same basic configuration as 'standard' CP-system but the pump is unloaded to a low stand-by pressure when all valves are in neutral position. Not so fast response as standard CP but pump lifetime is prolonged. Load-sensing systems (LS-system) generates less power losses as the pump can reduce both flow and pressure to match the load requirements, but requires more tuning than the CP-system with respect to system stability. The LS-system also requires additional logical valves and compensator valves in the directional valves, thus it is technically more complex and more expensive than the CP-system. The LS-system system generates a constant power loss related to the regulating pressure drop for the pump regulator: Power loss = \Delta p_{LS} \cdot Q_{tot} The average \Delta p_{LS} is around 2 MPa (290 psi). If the pump flow is high the extra loss can be considerable. The power loss also increases if the load pressures vary a lot. The cylinder areas, motor displacements and mechanical torque arms must be designed to match load pressure in order to bring down the power losses. Pump pressure always equals the maximum load pressure when several functions are run simultaneously and the power input to the pump equals the (max. load pressure + ?pLS) x sum of flow. Five basic types of load-sensing systems[edit] Load sensing without compensators in the directional valves. Hydraulically controlled LS-pump. Load sensing with up-stream compensator for each connected directional valve. Hydraulically controlled LS-pump. Load sensing with down-stream compensator for each connected directional valve. Hydraulically controlled LS-pump. Load sensing with a combination of up-stream and down-stream compensators. Hydraulically controlled LS-pump. Load sensing with synchronized, both electric controlled pump displacement and electric controlled valve flow area for faster response, increased stability and fewer system losses. This is a new type of LS-system, not yet fully developed. Technically the down-stream mounted compensator in a valveblock can physically be mounted "up-stream", but work as a down-stream compensator. System type (3) gives the advantage that activated functions are synchronized independent of pump flow capacity. The flow relation between 2 or more activated functions remains independent of load pressures, even if the pump reaches the maximum swivel angle. This feature is important for machines that often run with the pump at maximum swivel angle and with several activated functions that must be synchronized in speed, such as with excavators. With type (4) system, the functions with up-stream compensators have priority. Example: Steering-function for a wheel loader. The system type with down-stream compensators usually have a unique trademark depending on the manufacturer of the valves, for example "LSC" (Linde Hydraulics), "LUDV" (Bosch Rexroth Hydraulics) and "Flowsharing" (Parker Hydraulics) etc. No official standardized name for this type of system has been established but Flowsharing is a common name for it. Open and closed circuits[edit] Open loop and closed loop circuits Open-loop: Pump-inlet and motor-return (via the directional valve) are connected to the hydraulic tank. The term loop applies to feedback; the more correct term is open versus closed "circuit". Open center circuits use pumps which supply a continuous flow. The flow is returned to tank through the control valve's open center; that is, when the control valve is centered, it provides an open return path to tank and the fluid is not pumped to a high pressure. Otherwise, if the control valve is actuated it routes fluid to and from an actuator and tank. The fluid's pressure will rise to meet any resistance, since the pump has a constant output. If the pressure rises too high, fluid returns to tank through a pressure relief valve. Multiple control valves may be stacked in series. This type of circuit can use inexpensive, constant displacement pumps. Closed-loop: Motor-return is connected directly to the pump-inlet. To keep up pressure on the low pressure side, the circuits have a charge pump (a small gearpump) that supplies cooled and filtered oil to the low pressure side. Closed-loop circuits are generally used for hydrostatic transmissions in mobile applications. Advantages: No directional valve and better response, the circuit can work with higher pressure. The pump swivel angle covers both positive and negative flow direction. Disadvantages: The pump cannot be utilized for any other hydraulic function in an easy way and cooling can be a problem due to limited exchange of oil flow. High power closed loop systems generally must have a 'flush-valve' assembled in the circuit in order to exchange much more flow than the basic leakage flow from the pump and the motor, for increased cooling and filtering. The flush valve is normally integrated in the motor housing to get a cooling effect for the oil that is rotating in the motor housing itself. The losses in the motor housing from rotating effects and losses in the ball bearings can be considerable as motor speeds will reach 4000-5000 rev/min or even more at maximum vehicle speed. The leakage flow as well as the extra flush flow must be supplied by the charge pump. A large charge pump is thus very important if the transmission is designed for high pressures and high motor speeds. High oil temperature is usually a major problem when using hydrostatic transmissions at high vehicle speeds for longer periods, for instance when transporting the machine from one work place to the other. High oil temperatures for long periods will drastically reduce the lifetime of the transmission. To keep down the oil temperature, the system pressure during transport must be lowered, meaning that the minimum displacement for the motor must be limited to a reasonable value. Circuit pressure during transport around 200-250 bar is recommended. Closed loop systems in mobile equipment are generally used for the transmission as an alternative to mechanical and hydrodynamic (converter) transmissions. The advantage is a stepless gear ratio (continuously variable speed/torque) and a more flexible control of the gear ratio depending on the load and operating conditions. The hydrostatic transmission is generally limited to around 200 kW maximum power, as the total cost gets too high at higher power compared to a hydrodynamic transmission. Large wheel loaders for instance and heavy machines are therefore usually equipped with converter transmissions. Recent technical achievements for the converter transmissions have improved the efficiency and developments in the software have also improved the characteristics, for example selectable gear shifting programs during operation and more gear steps, giving them characteristics close to the hydrostatic transmission. Hydrostatic transmissions for earth moving machines, such as for track loaders, are often equipped with a separate 'inch pedal' that is used to temporarily increase the diesel engine rpm while reducing the vehicle speed in order to increase the available hydraulic power output for the working hydraulics at low speeds and increase the tractive effort. The function is similar to stalling a converter gearbox at high engine rpm. The inch function affects the preset characteristics for the 'hydrostatic' gear ratio versus diesel engine rpm. Components[edit] Hydraulic pump[edit] An exploded view of an external gear pump. Hydraulic pumps supply fluid to the components in the system. Pressure in the system develops in reaction to the load. Hence, a pump rated for 5,000 psi is capable of maintaining flow against a load of 5,000 psi. Pumps have a power density about ten times greater than an electric motor (by volume). They are powered by an electric motor or an engine, connected through gears, belts, or a flexible elastomeric coupling to reduce vibration. Common types of hydraulic pumps to hydraulic machinery applications are; Gear pump: cheap, durable (especially in g-rotor form), simple. Less efficient, because they are constant (fixed) displacement, and mainly suitable for pressures below 20 MPa (3000 psi). Vane pump: cheap and simple, reliable. Good for higher-flow low-pressure output. Axial piston pump: many designed with a variable displacement mechanism, to vary output flow for automatic control of pressure. There are various axial piston pump designs, including swashplate (sometimes referred to as a valveplate pump) and checkball (sometimes referred to as a wobble plate pump). The most common is the swashplate pump. A variable-angle swashplate causes the pistons to reciprocate a greater or lesser distance per rotation, allowing output flow rate and pressure to be varied (greater displacement angle causes higher flow rate, lower pressure, and vice versa). Radial piston pump: normally used for very high pressure at small flows. Piston pumps are more expensive than gear or vane pumps, but provide longer life operating at higher pressure, with difficult fluids and longer continuous duty cycles. Piston pumps make up one half of a hydrostatic transmission. Control valves[edit] control valves on a scissor lift Directional control valves route the fluid to the desired actuator. They usually consist of a spool inside a cast iron or steel housing. The spool slides to different positions in the housing, and intersecting grooves and channels route the fluid based on the spool's position. The spool has a central (neutral) position maintained with springs; in this position the supply fluid is blocked, or returned to tank. Sliding the spool to one side routes the hydraulic fluid to an actuator and provides a return path from the actuator to tank. When the spool is moved to the opposite direction the supply and return paths are switched. When the spool is allowed to return to neutral (center) position the actuator fluid paths are blocked, locking it in position. Directional control valves are usually designed to be stackable, with one valve for each hydraulic cylinder, and one fluid input supplying all the valves in the stack. Tolerances are very tight in order to handle the high pressure and avoid leaking, spools typically have a clearance with the housing of less than a thousandth of an inch (25 µm). The valve block will be mounted to the machine's frame with a three point pattern to avoid distorting the valve block and jamming the valve's sensitive components. The spool position may be actuated by mechanical levers, hydraulic pilot pressure, or solenoids which push the spool left or right. A seal allows part of the spool to protrude outside the housing, where it is accessible to the actuator. The main valve block is usually a stack of off the shelf directional control valves chosen by flow capacity and performance. Some valves are designed to be proportional (flow rate proportional to valve position), while others may be simply on-off. The control valve is one of the most expensive and sensitive parts of a hydraulic circuit. Pressure relief valves are used in several places in hydraulic machinery; on the return circuit to maintain a small amount of pressure for brakes, pilot lines, etc... On hydraulic cylinders, to prevent overloading and hydraulic line/seal rupture. On the hydraulic reservoir, to maintain a small positive pressure which excludes moisture and contamination. Pressure regulators reduce the supply pressure of hydraulic fluids as needed for various circuits. Sequence valves control the sequence of hydraulic circuits; to ensure that one hydraulic cylinder is fully extended before another starts its stroke, for example. Shuttle valves provide a logical or function. Check valves are one-way valves, allowing an accumulator to charge and maintain its pressure after the machine is turned off, for example. Pilot controlled Check valves are one-way valve that can be opened (for both directions) by a foreign pressure signal. For instance if the load should not be held by the check valve anymore. Often the foreign pressure comes from the other pipe that is connected to the motor or cylinder. Counterbalance valves are in fact a special type of pilot controlled check valve. Whereas the check valve is open or closed, the counterbalance valve acts a bit like a pilot controlled flow control. Cartridge valves are in fact the inner part of a check valve; they are off the shelf components with a standardized envelope, making them easy to populate a proprietary valve block. They are available in many configurations; on/off, proportional, pressure relief, etc. They generally screw into a valve block and are electrically controlled to provide logic and automated functions. Hydraulic fuses are in-line safety devices designed to automatically seal off a hydraulic line if pressure becomes too low, or safely vent fluid if pressure becomes too high. Auxiliary valves in complex hydraulic systems may have auxiliary valve blocks to handle various duties unseen to the operator, such as accumulator charging, cooling fan operation, air conditioning power, etc. They are usually custom valves designed for the particular machine, and may consist of a metal block with ports and channels drilled. Cartridge valves are threaded into the ports and may be electrically controlled by switches or a microprocessor to route fluid power as needed. Actuators[edit] Hydraulic cylinder Swashplates are used in 'hydraulic motors' requiring highly accurate control and also in 'no stop' continuous (360°) precision positioning mechanisms. These are frequently driven by several hydraulic pistons acting in sequence. Hydraulic motor (a pump plumbed in reverse) Hydrostatic transmission Brakes Reservoir[edit] The hydraulic fluid reservoir holds excess hydraulic fluid to accommodate volume changes from: cylinder extension and contraction, temperature driven expansion and contraction, and leaks. The reservoir is also designed to aid in separation of air from the fluid and also work as a heat accumulator to cover losses in the system when peak power is used. Design engineers are always pressured to reduce the size of hydraulic reservoirs, while equipment operators always appreciate larger reservoirs. Reservoirs can also help separate dirt and other particulate from the oil, as the particulate will generally settle to the bottom of the tank. Some designs include dynamic flow channels on the fluid's return path that allow for a smaller reservoir. Accumulators[edit] Accumulators are a common part of hydraulic machinery. Their function is to store energy by using pressurized gas. One type is a tube with a floating piston. On one side of the piston is a charge of pressurized gas, and on the other side is the fluid. Bladders are used in other designs. Reservoirs store a system's fluid. Examples of accumulator uses are backup power for steering or brakes, or to act as a shock absorber for the hydraulic circuit. Hydraulic fluid[edit] Also known as tractor fluid, hydraulic fluid is the life of the hydraulic circuit. It is usually petroleum oil with various additives. Some hydraulic machines require fire resistant fluids, depending on their applications. In some factories where food is prepared, either an edible oil or water is used as a working fluid for health and safety reasons. In addition to transferring energy, hydraulic fluid needs to lubricate components, suspend contaminants and metal filings for transport to the filter, and to function well to several hundred degrees Fahrenheit or Celsius. Filters[edit] Filters are an important part of hydraulic systems. Metal particles are continually produced by mechanical components and need to be removed along with other contaminants. Filters may be positioned in many locations. The filter may be located between the reservoir and the pump intake. Blockage of the filter will cause cavitation and possibly failure of the pump. Sometimes the filter is located between the pump and the control valves. This arrangement is more expensive, since the filter housing is pressurized, but eliminates cavitation problems and protects the control valve from pump failures. The third common filter location is just before the return line enters the reservoir. This location is relatively insensitive to blockage and does not require a pressurized housing, but contaminants that enter the reservoir from external sources are not filtered until passing through the system at least once.filters are used from 7 micron to 15 micron depends upon the viscosity grade of hydraulic oil. Tubes, pipes and hoses[edit] Hydraulic tubes are seamless steel precision pipes, specially manufactured for hydraulics. The tubes have standard sizes for different pressure ranges, with standard diameters up to 100 mm. The tubes are supplied by manufacturers in lengths of 6 m, cleaned, oiled and plugged. The tubes are interconnected by different types of flanges (especially for the larger sizes and pressures), welding cones/nipples (with o-ring seal), several types of flare connection and by cut-rings. In larger sizes, hydraulic pipes are used. Direct joining of tubes by welding is not acceptable since the interior cannot be inspected. Hydraulic pipe is used in case standard hydraulic tubes are not available. Generally these are used for low pressure. They can be connected by threaded connections, but usually by welds. Because of the larger diameters the pipe can usually be inspected internally after welding. Black pipe is non-galvanized and suitable for welding. Hydraulic hose is graded by pressure, temperature, and fluid compatibility. Hoses are used when pipes or tubes can not be used, usually to provide flexibility for machine operation or maintenance. The hose is built up with rubber and steel layers. A rubber interior is surrounded by multiple layers of woven wire and rubber. The exterior is designed for abrasion resistance. The bend radius of hydraulic hose is carefully designed into the machine, since hose failures can be deadly, and violating the hose's minimum bend radius will cause failure. Hydraulic hoses generally have steel fittings swaged on the ends. The weakest part of the high pressure hose is the connection of the hose to the fitting. Another disadvantage of hoses is the shorter life of rubber which requires periodic replacement, usually at five to seven year intervals. Tubes and pipes for hydraulic applications are internally oiled before the system is commissioned. Usually steel piping is painted outside. Where flare and other couplings are used, the paint is removed under the nut, and is a location where corrosion can begin. For this reason, in marine applications most piping is stainless steel. Seals, fittings and connections[edit] Main article: Seal (mechanical) Components of a hydraulic system [sources (e.g. pumps), controls (e.g. valves) and actuators (e.g. cylinders)] need connections that will contain and direct the hydraulic fluid without leaking or losing the pressure that makes them work. In some cases, the components can be made to bolt together with fluid paths built-in. In more cases, though, rigid tubing or flexible hoses are used to direct the flow from one component to the next. Each component has entry and exit points for the fluid involved (called ports) sized according to how much fluid is expected to pass through it. There are a number of standardized methods in use to attach the hose or tube to the component. Some are intended for ease of use and service, others are better for higher system pressures or control of leakage. The most common method, in general, is to provide in each component a female-threaded port, on each hose or tube a female-threaded captive nut, and use a separate adapter fitting with matching male threads to connect the two. This is functional, economical to manufacture, and easy to service. Fittings serve several purposes; To join components with ports of different sizes. To bridge different standards; O-ring boss to JIC, or pipe threads to face seal, for example. To allow proper orientation of components, a 90°, 45°, straight, or swivel fitting is chosen as needed. They are designed to be positioned in the correct orientation and then tightened. To incorporate bulkhead hardware to pass the fluid through an obstructing wall. A quick disconnect fitting may be added to a machine without modification of hoses or valves A typical piece of machinery or heavy equipment may have thousands of sealed connection points and several different types: Pipe fittings, the fitting is screwed in until tight, difficult to orient an angled fitting correctly without over or under tightening. O-ring boss, the fitting is screwed into a boss and orientated as needed, an additional nut tightens the fitting, washer and o-ring in place. Flare fittings, are metal to metal compression seals deformed with a cone nut and pressed into a flare mating. Face seal, metal flanges with a groove and o-ring seal are fastened together. Beam seals are costly metal to metal seals used primarily in aircraft. Swaged seals, tubes are connected with fittings that are swaged permanently in place. Primarily used in aircraft. Elastomeric seals (O-ring boss and face seal) are the most common types of seals in heavy equipment and are capable of reliably sealing 6000+ psi (40+ MPa) of fluid pressure. Basic calculations[edit] Hydraulic power is defined as flow times pressure. The hydraulic power supplied by a pump: Power = (P x Q) ÷ 600 where power is in kilowatts [kW], P pressure in bars, and Q is the flow in liters per minute. For example, a pump delivers 180 lit/min and the pressure equals 250 bar, therefore the power of the pump is 75 kW. When calculating the power input to the pump, the total pump efficiency ?total must be included. This efficiency is the product of volumetric efficiency, ?vol and the hydromechanical efficiency, ?hm. Power input = Power output ÷ ?total. The average for axial piston pumps, ?total = 0.87. In the example the power source, for example a diesel engine or an electric motor, must be capable of delivering at least 75 ÷ 0.87 = 86 [kW]. The hydraulic motors and cylinders that the pump supplies with hydraulic power also have efficiencies and the total system efficiency (without including the pressure drop in the hydraulic pipes and valves) will end up at approx. 0.75. Cylinders normally have a total efficiency around 0.95 while hydraulic axial piston motors 0.87, the same as the pump. In general the power loss in a hydraulic energy transmission is thus around 25% or more at ideal viscosity range 25-35 [cSt]. Calculation of the required max. power output for the diesel engine, rough estimation: An automatic transmission, also called auto, self-shifting transmission, n-speed automatic (where n is its number of forward gear ratios), or AT, is a type of motor vehicle transmission that can automatically change gear ratios as the vehicle moves, freeing the driver from having to shift gears manually. Like other transmission systems on vehicles, it allows an internal combustion engine, best suited to run at a relatively high rotational speed, to provide a range of speed and torque outputs necessary for vehicular travel. The number of forward gear ratios is often expressed for manual transmissions as well (e.g., 6-speed manual). The most popular form found in automobiles is the hydraulic automatic transmission. Similar but larger devices are also used for heavy-duty commercial and industrial vehicles and equipment. This system uses a fluid coupling in place of a friction clutch, and accomplishes gear changes by locking and unlocking a system of planetary gears. These systems have a defined set of gear ranges, often with a parking pawl that locks the output shaft of the transmission to keep the vehicle from rolling either forward or backward. Some machines with limited speed ranges or fixed engine speeds, such as some forklifts and lawn mowers, only use a torque converter to provide a variable gearing of the engine to the wheels. Besides the traditional automatic transmissions, there are also other types of automated transmissions, such as a continuously variable transmission (CVT) and semi-automatic transmissions, that free the driver from having to shift gears manually, by using the transmission's computer to change gear, if for example the driver were redlining the engine. Despite superficial similarity to other transmissions, automatic transmissions differ significantly in internal operation and driver's feel from semi-automatics and CVTs. In contrast to conventional automatic transmissions, a CVT uses a belt or other torque transmission scheme to allow an "infinite" number of gear ratios instead of a fixed number of gear ratios. A semi-automatic retains a clutch like a manual transmission, but controls the clutch through electrohydraulic means. The ability to shift gears manually, often via paddle shifters, can also be found on certain automated transmissions (manumatics such as Tiptronic), semi-automatics (BMW SMG), and CVTs (such as Lineartronic). The automatic transmission was invented in 1921 by Alfred Horner Munro of Regina, Saskatchewan, Canada, and patented under Canadian patent CA 235757 in 1923. (Munro obtained UK patent GB215669 215,669 for his invention in 1924 and US patent 1,613,525 on 4 January 1927). Being a steam engineer, Munro designed his device to use compressed air rather than hydraulic fluid, and so it lacked power and never found commercial application.[1] The first automatic transmission using hydraulic fluid may have been developed in 1932 by two Brazilian engineers, José Braz Araripe and Fernando Lehly Lemos; subsequently the prototype and plans were sold to General Motors who introduced it in the 1940 Oldsmobile as the "Hydra-Matic" transmission.[2] They were incorporated into GM-built tanks during World War II and, after the war, GM marketed them as being "battle-tested."[citation needed] However, a Wall Street Journal article credits ZF Friedrichshafen with the invention, occurring shortly after World War I. ZF's origins were in manufacturing gears for airship engines beginning in 1915; the company was founded by Ferdinand von Zeppelin.[3] Contents [hide] 1 History 2 Parts and operation 2.1 Hydraulic automatic transmissions 2.1.1 Torque converter 2.1.2 Planetary gears train 2.1.3 Hydraulic controls 2.2 Continuously variable transmissions 3 Automatic transmission modes 3.1 Manual controls 3.2 Manufacturer Specific 4 Comparison with manual transmission 4.1 Effects of automatic transmission on vehicle control 4.2 Energy efficiency 5 Automatic transmission models 6 See also 7 References 8 Further reading 9 External links History[edit] Modern automatic transmissions can trace their origins to an early "horseless carriage" gearbox that was developed in 1904 by the Sturtevant brothers of Boston, Massachusetts. This unit had two forward speeds, the ratio change being brought about by flyweights that were driven by the engine. At higher engine speeds, high gear was engaged. As the vehicle slowed down and engine RPM decreased, the gearbox would shift back to low. Unfortunately, the metallurgy of the time wasn't up to the task, and owing to the abruptness of the gear change, the transmission would often fail without warning. The next significant phase in the automatic transmission's development occurred in 1908 with the introduction of Henry Ford's remarkable Model T. The Model T, in addition to being cheap and reliable by the standards of the day, featured a simple, two speed plus reverse planetary transmission whose operation was manually controlled by the driver using pedals. The pedals actuated the transmission's friction elements (bands and clutches) to select the desired gear. In some respects, this type of transmission was less demanding of the driver's skills than the contemporary, unsynchronized manual transmission, but still required that the driver know when to make a shift, as well as how to get the car off to a smooth start. In 1934, both REO and General Motors developed semi-automatic transmissions that were less difficult to operate than a fully manual unit. These designs, however, continued to use a clutch to engage the engine with the transmission. The General Motors unit, dubbed the "Automatic Safety Transmission," was notable in that it employed a power-shifting planetary gearbox that was hydraulically controlled and was sensitive to road speed, anticipating future development. Parallel to the development in the 1930s of an automatically shifting gearbox was Chrysler's work on adapting the fluid coupling to automotive use. Invented early in the 20th century, the fluid coupling was the answer to the question of how to avoid stalling the engine when the vehicle was stopped with the transmission in gear. Chrysler itself never used the fluid coupling with any of its automatic transmissions, but did use it in conjunction with a hybrid manual transmission called "Fluid Drive" (the similar Hy-Drive used a torque converter). These developments in automatic gearbox and fluid coupling technology eventually culminated in the introduction in 1939 of the General Motors Hydra-Matic, the world's first mass-produced automatic transmission. Available as an option on 1940 Oldsmobiles and later Cadillacs, the Hydra-Matic combined a fluid coupling with three hydraulically controlled planetary gearsets to produce four forward speeds plus reverse. The transmission was sensitive to engine throttle position and road speed, producing fully automatic up- and down-shifting that varied according to operating conditions. The Hydra-Matic was subsequently adopted by Cadillac and Pontiac, and was sold to various other automakers, including Bentley, Hudson, Kaiser, Nash, and Rolls-Royce. It also found use during World War II in some military vehicles. From 1950 to 1954, Lincoln cars were also available with the Hydra-Matic. Mercedes-Benz subsequently devised a four-speed fluid coupling transmission that was similar in principle to the Hydra-Matic, but of a different design. Interestingly, the original Hydra-Matic incorporated two features which are widely emulated in today's transmissions. The Hydra-Matic's ratio spread through the four gears produced excellent "step-off" and acceleration in first, good spacing of intermediate gears, and the effect of an overdrive in fourth, by virtue of the low numerical rear axle ratio used in the vehicles of the time. In addition, in third and fourth gear, the fluid coupling only handled a portion of the engine's torque, resulting in a high degree of efficiency. In this respect, the transmission's behavior was similar to modern units incorporating a lock-up torque converter. Erskine Mayer, US, pitcher[2] Bob Melvin, US, catcher & manager of the Oakland Athletics[18] Jon Moscot, US, pitcher (Cincinnati Reds)[19] Jeff Newman, US, catcher & first baseman, All-Star, manager[2] Joc Pederson, US, outfielder (Los Angeles Dodgers)[20] Barney Pelty, US, pitcher[2] Lipman Pike, US, outfielder, second baseman, & manager, 4x home run champion, RBI leader[2] Kevin Pillar, US, outfielder (Toronto Blue Jays) Aaron Poreda, US, pitcher (Yomiuri Giants)[2] Scott Radinsky, US, relief pitcher[2] Dave Roberts, US, pitcher[2] Saul Rogovin, US, pitcher[2] Al "Flip" Rosen, US, third baseman & first baseman, 4x All-Star, 2x home run champion, 2x RBI leader, MVP[2] Goody Rosen, Canada, outfielder, All-Star[2] Josh Satin, US, second baseman (Cincinnati Reds)[21] Richie Scheinblum, US, outfielder, All-Star[2] Scott Schoeneweis, US, pitcher[2] Michael Schwimer, US, relief pitcher (Toronto Blue Jays)[22] Art Shamsky, US, outfielder & first baseman[2] Larry Sherry, US, relief pitcher[2] Norm Sherry, US, catcher & manager[2] Moe "the Rabbi of Swat" Solomon, US, outfielder[2] George Stone, US, outfielder, 1x batting title[23] Steve Stone, US, starting pitcher, All-Star, Cy Young Award[2] Danny Valencia, US, third baseman (Oakland Athletics)[24] Phil "Mickey" Weintraub, US, first baseman & outfielder Josh Whitesell, US, first baseman (Saraperos de Saltillo)[25] Steve Yeager, US, catcher[2] Kevin Youkilis, US, first baseman, third baseman, & left fielder, 3x All-Star, Gold Glove, Hank Aaron Award[2] Josh Zeid, US, pitcher for the Detroit Tigers Basketball[edit] Omri Casspi Jordan Farmar Gal Mekel Jon Scheyer Sam Balter, US, 5' 10" guard, Olympic champion[8][26] Sue Bird, US & Israel, WNBA 5' 9" point guard, 2x Olympic champion, 4x All-Star (Seattle Storm)[27] David Blatt, US & Israel, Israeli Premier League 6' 3.5" point guard, coached Russia National Basketball Team, Israel's Maccabi Tel Aviv to Euroleague Championship, Euroleague Coach of the Year, 4x Israeli Coach of the Year, Head Coach of Cleveland Cavaliers[28][29] David Blu (formerly "Bluthenthal"), US & Israel, Euroleague 6' 7" forward (Maccabi Tel Aviv)[30] Harry Boykoff, US, NBA 6' 10" center[31] Tal Brody, US & Israel, Euroleague 6' 2" shooting guard[8] Larry Brown, US, ABA 5' 9" point guard, 3x All-Star, 3x assists leader, NCAA National Championship coach (1988), NBA coach, Olympic champion, Hall of Fame[8][26] Omri Casspi, Israel, 6' 9" small forward, drafted in 1st round of 2009 NBA Draft (Sacramento Kings)[32] Shay Doron, Israel & US, WNBA 5' 9" guard (New York Liberty)[33] Lior Eliyahu, Israel, 6' 9" power forward, NBA draft 2006 (Orlando Magic; traded to Houston Rockets), playing in the Euroleague (Hapoel Jerusalem)[34] Jordan Farmar, US, NBA 6' 2" point guard (Los Angeles Clippers)[35] Marty Friedman, US, 5' 7" guard & coach, Hall of Fame[8] Ernie Grunfeld, Romania-born US, NBA 6' 6" guard/forward & GM, Olympic champion[36] Yotam Halperin, Israel, 6' 5" guard, drafted in 2006 NBA draft by Seattle SuperSonics (Hapoel Jerusalem)[34] Sonny Hertzberg, US, NBA 5' 9" point guard, original NY Knickerbocker[37] Art Heyman, US, NBA 6' 5" forward/guard[37] Nat Holman, US, ABL 5' 11" guard & coach, Hall of Fame[8] Red Holzman, US, BAA & NBA 5' 10" guard, 2x All-Star, & NBA coach, NBA Coach of the Year, Hall of Fame[8] Eban Hyams, India-Israel-Australia, 6' 5" guard formerly of the Australian National Basketball League, Israeli Super League, first ever Indian national to play in ULEB competitions[38] Barry Kramer, first team All-American at NYU in 1963 Joel Kramer, US Phoenix Suns 6'7" forward Sylven Landesberg, US, 6' 6" former UVA shooting guard (Maccabi Tel Aviv)[39] Rudy LaRusso, US, NBA 6' 7" forward/center, 5x All-Star[40] Nancy Lieberman, US, WNBA player, general manager, & coach, Olympic silver, Hall of Fame[26][41] Gal Mekel, Israel, NBA 6' 3" point guard (Dallas Mavericks)[42] Bernard Opper, US, NBL and ABL 5' 10" guard, All-American at University of Kentucky Donna Orender (née Geils), US, Women's Pro Basketball League 5' 7" point guard, All-Star, current WNBA president[37] Lennie Rosenbluth, US, NBA 6' 4" forward[36] Danny Schayes, US, NBA 6' 11" center/forward (son of Dolph Schayes)[37] Dolph Schayes, US, NBA 6' 7" forward/center, 3x FT% leader, 1x rebound leader, 12x All-Star, Hall of Fame, & coach (father of Danny Schayes)[8] Ossie Schectman, US, NBA 6' 0" guard, scorer of first NBA basket[36] Doron Sheffer, US (college), Maccabi Tel Aviv,Hapoel Jerusalem Jon Scheyer, US, All-American Duke University 6' 5" shooting guard & point guard (Maccabi Tel Aviv)[43] Barney Sedran, US, Hudson River League & New York State League 5' 4" guard, Hall of Fame[8] Sidney Tannenbaum, US, BAA 6' 0" guard, 2x All-American, left as NYU all-time scorer[8] Alex Tyus, US & Israel, 6' 8" power forward/center (Maccabi Tel Aviv) Neal Walk, US, NBA 6' 10" center[37] Max Zaslofsky, US, NBA 6' 2" guard/forward, 1x FT% leader, 1x points leader, All-Star, ABA coach[8] Bowling[edit] Barry Asher, 10 PBA titles, PBA Hall of Fame[7] Marshall Holman, 22 PBA titles (11th all-time); PBA Hall of Fame[44] Mark Roth, 34 PBA titles (5th all-time); PBA Hall of Fame[45] Boxing[edit] Yuri Foreman Zab Judah Dmitry Salita Barney Aaron (Young), English-born US lightweight, Hall of Fame[46] Abe Attell ("The Little Hebrew"), US, world champion featherweight, Hall of Fame[8] Monte Attell ("The Knob Hill Terror"), US, bantamweight[47] Max Baer ("Madcap Maxie"), US, world champion heavyweight. Wore a Star of David on his trunks; inducted into the International Jewish Sports Hall of Fame. Hall of Fame/[48] Benny Bass ("Little Fish"), US, world champion featherweight & world champion junior lightweight, Hall of Fame[8] Fabrice Benichou, France, world champion super bantamweight[34] Jack Kid Berg (Judah Bergman), England, world champion junior welterweight, wore a Star of David on his trunks, Hall of Fame[8] Maxie Berger, Canada, wore a Star of David on his trunks[49] Samuel Berger, US, Olympic champion heavyweight[8] Jack Bernstein (also "John Dodick", "Kid Murphy", and "Young Murphy"), US, world champion junior lightweight[8] Nathan "Nat" Bor, US, Olympic bronze lightweight[26] Mushy Callahan (Vincente Sheer), US, world champion light welterweight[47] Joe Choynski ("Chrysanthemum Joe"), US, heavyweight, Hall of Fame[8][50] Robert Cohen, French & Algerian, world champion bantamweight[8] Al "Bummy" Davis (Abraham Davidoff), US, welterweight & lightweight, wore a Star of David on his trunks[47] Louis "Red" Deutsch, US, heavyweight, later famous as the proprietor of the Tube Bar in Jersey City, NJ and inspiration for Moe Szyslak on "The Simpsons" Carolina Duer ("The Turk"), Argentine, WBO world champion super flyweight and bantamweight[51] John "Jackie" Fields (Jacob Finkelstein), US, world champion welterweight & Olympic champion featherweight, Hall of Fame[8] Hagar Finer, Israel, WIBF champion bantamweight[52] Yuri Foreman, Belarusian-born Israeli US middleweight and World Boxing Association champion super welterweight[53] György Gedó, Hungary, Olympic champion light flyweight[41] Abe Goldstein, US, world champion bantamweight[54] Ruby Goldstein ("Ruby the Jewel of the Ghetto"), US, welterweight, wore a Star of David on his trunks[8] Roman Greenberg ("The Lion from Zion"), Israel, International Boxing Organization's Intercontinental champion heavyweight[53] Stéphane Haccoun, France, featherweight, super featherweight, and junior lightweight[55][56] Alphonse Halimi ("La Petite Terreur"), France, world champion bantamweight[8] Harry Harris ("The Human Hairpin"), US, world champion bantamweight[8] Gary Jacobs, Scottish, British, Commonwealth, and European (EBU) champion welterweight[57] Ben Jeby (Morris Jebaltowsky), US, world champion middleweight[47] Yoel Judah, US, 3x world champion kickboxer and boxer & trainer[58] Zab Judah ("Super"), US, world champion junior welterweight & world champion welterweight (Converted to Christianity)[58][59][60][61] Louis Kaplan ("Kid Kaplan"), Russian-born US, world champion featherweight, Hall of Fame[8][50] Solly Krieger ("Danny Auerbach"), US, world champion middleweight[8] Julie Kogon US, 1947 New England Lightweight Champion. Inducted into the Connecticut Boxing Hall of Fame. Benny Leonard (Benjamin Leiner; "The Ghetto Wizard"), US, world champion lightweight, Hall of Fame[8] Battling Levinsky (Barney Lebrowitz), US, world champion light heavyweight, Hall of Fame[8] King Levinsky (Harry Kraków), US, heavweight, also known as Kingfish Levinsky[8] Harry Lewis (Harry Besterman), US, world champion welterweight[47] Ted "Kid" Lewis (Gershon Mendeloff), England, world champion welterweight, Hall of Fame[8] Sammy Luftspring, Canada, Canadian champion welterweight, Canada's Sports Hall of Fame[47] Saoul Mamby, US, world champion junior welterweight[47] Al McCoy (Alexander Rudolph), US, world champion middleweight[8] Daniel Mendoza, England, world champion heavyweight, Hall of Fame[8] Jacob Michaelsen, Denmark, Olympic bronze heavyweight[26] Samuel Mosberg, US, Olympic champion lightweight[8] Bob Olin, US, world champion light heavyweight[62] Victor Perez ("Young"), Tunisian, world champion flyweight[8] Harold Reitman ("The Boxing Doctor"), professional heavyweight that fought while working as surgeon, Golden Gloves champion.[63] Charlie Phil Rosenberg ("Charles Green"), US, world champion bantamweight[8] Dana Rosenblatt ("Dangerous"), US, world champion middleweight[64] Maxie Rosenbloom ("Slapsie"), US, world champion light heavyweight, wore a Star of David on his trunks, Hall of Fame[8] Barney Ross (Dov-Ber Rasofsky), US, world champion lightweight & junior welterweight, Hall of Fame[8] Mike Rossman (Michael Albert DiPiano; "The Jewish Bomber"), US, world champion light heavyweight, wore Star of David on trunks[64] Shamil Sabirov, Russia, Olympic champion light flyweight[26] Dmitry Salita ("Star of David"), US, North American Boxing Association champion light welterweight[65] Isadore "Corporal Izzy" Schwartz ("The Ghetto Midget"), US, world champion flyweight[8] Al Singer ("The Bronx Beauty"), US, world champion lightweight[47] "Lefty" Lew Tendler, US, bantamweight, lightweight, and welterweight, wore a Star of David on his trunks, Hall of Fame[8] Sid Terris ("Ghost of the Ghetto"), US, lightweight, wore a Star of David on his trunks[54] Matt Wels, England, champion of Great Britain lightweight and world champion welterweight Canoeing[edit] Jessica Fox Shaun Rubenstein László Fábián, Hungary, sprint canoer, Olympic champion (K-2 10,000 meter), 4x world champion (3x K-2 10,000 meter and 1x K-4 10,000 meter) and one silver (K-4 10,000 meter)[26] Imre Farkas, Hungary, sprint canoer, 2x Olympic bronze (C-2 1,000 and 10,000 meter)[66] Jessica Fox, French-born Australian, slalom canoer, Olympic silver (K-1 slalom), world championships bronze (C-1)[67] Myriam Fox-Jerusalmi, France, slalom canoer, Olympic bronze (K-1 slalom), 5 golds at ICF Canoe Slalom World Championships (2x K-1, 3x K-1 team)[41] Klára Fried-Bánfalvi, Hungary, sprint canoer, Olympic bronze (K-2 500 m), world champion (K-2 500 m)[26] Leonid Geishtor, USSR (Belarus), sprint canoer, Olympic champion (Canadian pairs 1,000-meter)[41] Joe Jacobi, US, slalom canoer, Olympic champion (Canadian slalom pairs)[41] Michael Kolganov, Soviet (Uzbek)-born Israeli, sprint canoer, world champion, Olympic bronze (K-1 500-meter)[41] Anna Pfeffer, Hungary, sprint canoer, Olympic 2x silver (K-2 500 m), bronze (K-1 500 m); world champion (K-2 500 m), silver (K-4 500 m), 2x bronze (K-2 500)[26] Naum Prokupets, Moldovan-born Soviet, sprint canoer, Olympic bronze (C-2 1,000-meter), gold (C-2 10,000-meter) at ICF Canoe Sprint World Championships[41] Leon Rotman, Romanian, sprint canoer, 2x Olympic champion (C-1 10,000 meter, C-1 1,000-meter) and bronze (C-1 1,000-meter), 14 national titles[41] Shaun Rubenstein, South Africa, canoer, World Marathon champion 2006[68] Cricket[edit] Michael Klinger Ben Ashkenazi, Australia (Victorian Bushrangers) Ali Bacher, South Africa, batsman and administrator (relative of Adam Bacher)[69] Mike Barnard, England, cricketer[69] Mark Bott, England, cricketer[70] Stevie Eskinazi, South African born, Australian raised, English wicketkeeper Mark Fuzes. Australian all rounder played for Hong Kong. Father Peter Fuzes kept goal for Australian Soccer team (see)[71] Dennis Gamsy, South Africa, Test wicket-keeper[72] Darren Gerard, England, cricketer[73] Norman Gordon, South Africa, fast bowler[69] Steven Herzberg, English-born Australian, cricketer[74] Sid Kiel, South Africa, opening batsman (Western Province)[75] Michael Klinger, Australia, batsman (Western Warriors)[69] Leonard "Jock" Livingston, Australia, cricketer[69] Bev Lyon, England, cricketer[69] Dar Lyon, England, cricketer (brother of Bev)[69] Greg, Jason, and Lara Molins, two brothers and a cousin from the same Irish family[74] Jon Moss, Australia, allrounder (Victorian Bushrangers)[69] John Raphael, England, batsman[69] Marshall Rosen, NSW Australia, cricketer and selector[76] Lawrence Seeff, South Africa, batsmen[77] Maurice Sievers, Australia, lower order batsman and fast-medium bowler[69] Bensiyon Songavkar, India, cricketer, MVP of 2009 Maccabiah Games cricket tournament[78] Fred Susskind, South Africa, Test batsman[69] Fred Trueman, England, English test fast bowler (a lifelong Christian)[69] Julien Wiener, Australia, Test cricketer[69] Mandy Yachad, South Africa, Test cricketer[69] Equestrian[edit] Margie Goldstein-Engle Robert Dover, US, 4x Olympic bronze, 1x world championship bronze (dressage)[79] Margie Goldstein-Engle, US, world championship silver, Pan American Games gold, silver, and bronze (jumping)[80] Edith Master, US, Olympic bronze (dressage)[26] Fencing[edit] Helene Mayer Soren Thompson Henri Anspach, Belgium (épée & foil), Olympic champion[26] Paul Anspach, Belgium (épée & foil), 2x Olympic champion[26] Norman Armitage (Norman Cohn), US (sabre), 17x US champion, Olympic bronze[26] Albert "Albie" Axelrod, US (foil); Olympic bronze, 4x US champion[8] Péter Bakonyi, Hungary (saber), Olympic 3x bronze[41] Cliff Bayer, US (foil); youngest US champion[37] Albert Bogen (Albert Bógathy), Austria (saber), Olympic silver[41] Tamir Bloom, US (épée); 2x US champion[37] Daniel Bukantz, US (foil); 4x US champion[37] Sergey Sharikov, Russia (saber), 2x Olympic champion, silver, bronze[26] Yves Dreyfus, France (épée), Olympic bronze, French champion[26] Ilona Elek, Hungary (saber), 2x Olympic champion[26] Boaz Ellis, Israel (foil), 5x Israeli champion[34] Siegfried "Fritz" Flesch, Austria (sabre), Olympic bronze[26] Dr. Dezsö Földes, Hungary (saber), 2x Olympic champion[26] Dr. Jenö Fuchs, Hungary (saber), 4x Olympic champion[81] Támas Gábor, Hungary (épée), Olympic champion[8] János Garay, Hungary (saber), Olympic champion, silver, bronze, killed by the Nazis[8] Dr. Oskar Gerde, Hungary (saber), 2x Olympic champion, killed by the Nazis[26] Dr. Sándor Gombos, Hungary (saber), Olympic champion[62] Vadim Gutzeit, Ukraine (saber), Olympic champion[82] Johan Harmenberg, Sweden (épée), Olympic champion[26] Delila Hatuel, Israel (foil), Olympian, ranked # 9 in world[83] Lydia Hatuel-Zuckerman, Israel (foil), 6x Israeli champion[84][85] Dr. Otto Herschmann, Austria (saber), Olympic silver[26] Emily Jacobson, US (saber), NCAA champion[86] Sada Jacobson, US (saber), ranked # 1 in the world, Olympic silver, 2x bronze[86] Allan Jay, British (épée & foil), Olympic 2x silver, world champion[26] Endre Kabos, Hungary (saber), 3x Olympic champion, bronze[26] Roman Kantor, Poland (épée), Nordic champion & Soviet champion, killed by the Nazis[26] Dan Kellner, US (foil), US champion[86] Byron Krieger, US[87] Grigory Kriss, Soviet (épée), Olympic champion, 2x silver[26] Allan Kwartler, US (saber), 3x Pan American Games champion[10] Alexandre Lippmann, France (épée), 2x Olympic champion, 2x silver, bronze[8] Helene Mayer, Germany & US (foil), Olympic champion[26] Ljubco Georgievski ????? ??????????? Kiro Gligorov ???? ???????? Nikola Gruevski ?????? ???????? Gjorge Ivanov ????? ?????? Gordana Jankuloska ??????? ?????????? Zoran Jolevski ????? ???????? Srgjan Kerim ????? ????? Lazar Koliševski ????? ?????????? Hari Kostov ???? ?????? Trifun Kostovski ?????? ????????? Ilinka Mitreva ?????? ??????? Lazar Mojsov ????? ?????? Tito Petkovski ???? ????????? Lui Temelkovski ??? ??????????? Boris Trajkovski ????? ?????????? Vasil Tupurkovski ????? ??????????? Zoran Zaev ????? ???? Partisans World War II freedom fighters edit Mirce Acev ????? ???? Mihajlo Apostolski ????j?? ?????????? Cede Filipovski Dame ???? ?????????? ???? Blagoj Jankov Muceto ?????? ?????? ?????? Orce Nikolov ???? ??????? Strašo Pindžur ?????? ?????? Hristijan Todorovski Karpoš ????????? ?????????? ?????? Revolutionaries edit Yordan Piperkata ?????? ???????? ????????? Goce Delcev ???? ????? Petar Pop Arsov ????? ??? ????? Dame Gruev ???? ????? Jane Sandanski ???? ????????? Dimitar Pop Georgiev Berovski ??????? ??? ???????? ???????? Ilyo Voyvoda ???? ??? ?????????? Pere Tošev ???? ????? Pitu Guli ???? ???? Dimo Hadži Dimov ???? ???? ????? Hristo Uzunov ?????? ?????? Literature edit Gjorgji Abadžiev ????? ??????? Petre M Andreevski ????? ? ?????????? Maja Apostoloska ???? ??????????? Dimitrija Cupovski ????????? ???????? Jordan Hadži Konstantinov Džinot ?????? ???? ???????????? ????? Vasil Iljoski ????? ?????? Slavko Janevski ?????? ???????? Blaže Koneski ????? ??????? Risto Krle ????? ???? Vlado Maleski ????? ??????? Mateja Matevski ?????? ???????? Krste Misirkov ????? ????????? Kole Nedelkovski ???? ??????????? Olivera Nikolova Anton Panov ????? ????? Gjorche Petrov ????? ?????? Vidoe Podgorec ????? ???????? Aleksandar Prokopiev ?????????? ????????? Koco Racin ???? ????? Jovica Tasevski Eternijan ?????? ???????? ????????? Gane Todorovski ???? ?????????? Stevan Ognenovski ?????? ?????????? Music edit Classical music edit Composers edit Atanas Badev ?????? ????? Dimitrije Bužarovski ????????? ?????????? Kiril Makedonski ????? ?????????? Toma Prošev ???? ?????? Todor Skalovski ????? ????????? Stojan Stojkov ?????? ??????? Aleksandar Džambazov ?????????? ???????? Conductors edit Borjan Canev ?????? ????? Instrumentalists edit Pianists Simon Trpceski ????? ???????? Opera singers edit Blagoj Nacoski ?????? ??????? Boris Trajanov ????? ???????? Popular and folk music edit Composers edit Darko Dimitrov ????? ???????? Slave Dimitrov ????? ???????? Jovan Jovanov ????? ??????? Ilija Pejovski ????? ???????? Musicians edit Bodan Arsovski ????? ???????? Goran Trajkoski ????? ????????? Ratko Dautovski ????? ????????? Kiril Džajkovski ????? ????????? Tale Ognenovski ???? ?????????? Vlatko Stefanovski ?????? ??????????? Stevo Teodosievski ????? ???????????? Aleksandra Popovska ?????????? ???????? Singers and Bands edit Lambe Alabakoski ????? ?????????? Anastasia ????????? Arhangel ???????? Kristina Arnaudova ???????? ????????? Kaliopi Bukle ??????? Dani Dimitrovska ???? ??????????? Riste Tevdoski ????? ???????? Karolina Goceva ???????? ?????? Vaska Ilieva ????? ?????? Andrijana Janevska ????????? ???????? Vlado Janevski ????? ???????? Jovan Jovanov ????? ??????? Leb i sol ??? ? ??? Aleksandar Makedonski ?????????? ?????????? Elvir Mekic ????? ????? Mizar ????? Jasmina Mukaetova ??????? ????e???? The Malagasy French Malgache are the ethnic group that forms nearly the entire population of Madagascar They are divided into two subgroups the "Highlander" Merina Sihanaka and Betsileo of the central plateau around Antananarivo Alaotra Ambatondrazaka and Fianarantsoa and the "coastal dwellers" elsewhere in the country This division has its roots in historical patterns of settlement The original Austronesian settlers from Borneo arrived between the third and tenth centuries and established a network of principalities in the Central Highlands region conducive to growing the rice they had carried with them on their outrigger canoes Sometime later a large number of settlers arrived from East Africa and established kingdoms along the relatively unpopulated coastlines The difference in ethnic origins remains somewhat evident between the highland and coastal regions In addition to the ethnic distinction between highland and coastal Malagasy one may speak of a political distinction as well Merina monarchs in the late th and early th century united the Merina principalities and brought the neighboring Betsileo people under their administration first They later extended Merina control over the majority of the coastal areas as well The military resistance and eventual defeat of most of the coastal communities assured their subordinate position vis ŕ vis the Merina Betsileo alliance During the th and th centuries the French colonial administration capitalized on and further exacerbated these political inequities by appropriating existing Merina governmental infrastructure to run their colony This legacy of political inequity dogged the people of Madagascar after gaining independence in candidates ethnic and regional identities have often served to help or hinder their success in democratic elections Within these two broad ethnic and political groupings the Malagasy were historically subdivided into specifically named ethnic groups who were primarily distinguished from one another on the basis of cultural practices These were namely agricultural hunting or fishing practices construction style of dwellings music hair and clothing styles and local customs or taboos the latter known in the Malagasy language as fady citation needed The number of such ethnic groups in Madagascar has been debated The practices that distinguished many of these groups are less prevalent in the st century than they were in the past But many Malagasy are proud to proclaim their association with one or several of these groups as part of their own cultural identity "Highlander" ethnic groups Merina Sihanaka Betsileo Zafimaniry Coastal ethnic groups Antaifasy or Antefasy Antaimoro or Temoro or Antemoro Antaisaka or Antesaka Antambahoaka Antandroy or Tandroy Antankarana Antanosy or Tanosy Academia edit Afifi al Akiti Khasnor Johan historian Khoo Kay Kim Jomo Kwame Sundaram Danny Quah Harith Ahmad Architects edit Main article List of Malaysian architects Artists edit Main article List of Malaysian artists Business edit Tan Sri Syed Mokhtar Al Bukhary born Tan Sri Dato Loh Boon Siew – Tan Sri Jeffrey Cheah Tan Sri William Cheng Dato Choong Chin Liang born Tan Sri Dato Tony Fernandes born Lim Goh Tong – Tan Sri Tiong Hiew King Tan Sri Teh Hong Piow born Chung Keng Quee – Tan Sri Ananda Krishnan born Robert Kuok born Tan Sri Quek Leng Chan born Shoba Purushothaman Shah Hakim Zain Halim Saad Tan Sri Mohd Saleh Sulong Tan Sri Vincent Tan born Lillian Too born Tan Sri Dr Francis Yeoh Tun Daim Zainuddin born Tan Sri Kong Hon Kong Designers edit Bernard Chandran fashion designer Jimmy Choo born shoe designer Poesy Liang born artist writer philanthropist jewellery designer industrial designer interior architect music composer Inventors edit Yi Ren Ng inventor of the Lytro Entertainers edit Yasmin Ahmad – film director Stacy Angie Francissca Peter born Jamal Abdillah born Sudirman Arshad – Loganathan Arumugam died Datuk David Arumugam Alleycats Awal Ashaari Alvin Anthons born Asmawi bin Ani born Ahmad Azhar born Ning Baizura born Kasma Booty died Marion Caunter host of One In A Million and the TV Quickie Ella born Erra Fazira born Sean Ghazi born Fauziah Latiff born Angelica Lee born Daniel Lee Chee Hun born Fish Leong born Sheila Majid born Amy Mastura born Mohamad Nasir Mohamad born Shathiyah Kristian born Meor Aziddin Yusof born Ah Niu born Dayang Nurfaizah born Shanon Shah born Siti Nurhaliza born Misha Omar born Hani Mohsin – Aziz M Osman born Azmyl Yunor born P Ramlee born Aziz Sattar born Fasha Sandha born Ku Nazhatul Shima Ku Kamarazzaman born Nicholas Teo born Pete Teo Penny Tai born Hannah Tan born Jaclyn Victor born Chef Wan Adira Suhaimi Michael Wong born Victor Wong born Dato Michelle Yeoh Hollywood actress born James Wan director of Hollywood films like several Saw films Insidious The Conjuring Fast and Furious born Ziana Zain born Zee Avi Shila Amzah Yunalis Zarai Zamil Idris born Military edit Leftenan Adnan – Warrior from mainland Malaya Antanum Warrior from Sabah Borneo Rentap Warrior from Sarawak Syarif Masahor Warrior from Sarawak Monsopiad Warrior from Sabah Borneo Haji Abdul Rahman Limbong Warrior from Telemong Terengganu Mat Salleh Warrior from Sabah Borneo Rosli Dhobi Warrior from Sarawak Politicians edit Parameswara founder of Sultanate of Malacca Tunku Abdul Rahman Putra Al Haj st Prime Minister of independent Malaya Tun Abdul Razak nd Prime Minister V T Sambanthan Founding Fathers of Malaysia along with Tunku Abdul Rahman and Tan Cheng Lock Tun Dato Sir Tan Cheng Lock Founder of MCA Tun Hussein Onn rd Prime Minister Mahathir Mohammad th Prime Minister Father of Modernisation Abdullah Ahmad Badawi th Prime Minister since Najib Tun Razak Current Prime Minister since Dato Seri Ong Ka Ting Dato Seri Anwar Ibrahim Dato Wan Hisham Wan Salleh Nik Aziz Nik Mat Raja Nong Chik Zainal Abidin Federal Territory and Urban Wellbeing Minister Wan Azizah Wan Ismail Karpal Singh Lim Kit Siang Lim Guan Eng Tengku Razaleigh Hamzah Religious edit Antony Selvanayagam Roman Catholic Bishop of the Diocese of Penang Anthony Soter Fernandez Archbishop Emeritus of the Roman Catholic Archdiocese of Kuala Lumpur and Bishop Emeritus of the Diocese of Penang Gregory Yong – Second Roman Catholic Archbishop of Singapore Tan Sri Datuk Murphy Nicholas Xavier Pakiam Metropolitan archbishop of the Roman Catholic Archdiocese of Kuala Lumpur president of the Catholic Bishops Conference of Malaysia Singapore and Brunei and publisher of the Catholic weekly newspaper The Herald Datuk Ng Moon Hing the fourth and current Anglican Bishop of West Malaysia Sportspeople edit Squash edit Datuk Nicol Ann David Ong Beng Hee Azlan Iskandar Low Wee Wern Badminton edit Chan Chong Ming men s doubles Dato Lee Chong Wei Chew Choon Eng men s doubles Wong Choong Hann Chin Eei Hui women s doubles Hafiz Hashim Roslin Hashim Wong Pei Tty women s doubles Choong Tan Fook men s doubles Lee Wan Wah men s doubles Koo Kien Keat men s doubles Tan Boon Heong men s doubles Retired edit Tan Aik Huang Eddy Choong Punch Gunalan Yap Kim Hock Foo Kok Keong Jalani Sidek Misbun Sidek Rashid Sidek Razif Sidek Cheah Soon Kit Lee Wan Wah Football soccer edit Brendan Gan Sydney FC Shaun Maloney Wigan Athletic Akmal Rizal Perak FA Kedah FA RC Strasbourg FCSR Haguenau Norshahrul Idlan Talaha Kelantan FA Khairul Fahmi Che Mat Kelantan FA Mohd Safiq Rahim Selangor FA Mohd Fadzli Saari Selangor FA PBDKT T Team FC SV Wehen Rudie Ramli Selangor FA PKNS F C SV Wehen Mohd Safee Mohd Sali Selangor FA Pelita Jaya Baddrol Bakhtiar Kedah FA Mohd Khyril Muhymeen Zambri Kedah FA Mohd Azmi Muslim Kedah FA Mohd Fadhli Mohd Shas Harimau Muda A FC ViOn Zlaté Moravce Mohd Irfan Fazail Harimau Muda A FC ViOn Zlaté Moravce Wan Zack Haikal Wan Noor Harimau Muda A FC ViOn Zlaté Moravce F C Ryukyu Nazirul Naim Che Hashim Harimau Muda A F C Ryukyu Khairul Izuan Abdullah Sarawak FA Persibo Bojonegoro PDRM FA Stanley Bernard Stephen Samuel Sabah FA Sporting Clube de Goa Nazmi Faiz Harimau Muda A SC Beira Mar Ahmad Fakri Saarani Perlis FA Atlético S C Chun Keng Hong Penang FA Chanthaburi F C Retired edit Serbegeth Singh owner founder of MyTeam Blackburn Rovers F C Global dvisor Mokhtar Dahari former Selangor FA and Malaysian player Lim Teong Kim former Hertha BSC player