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Wedge

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680:, which produce circular holes in solids. The two edges of a drill bit are sharpened, at opposing angles, into a point and that edge is wound around the shaft of the drill bit. When the drill bit spins on its axis of rotation, the wedges are forced into the material to be separated. The resulting cut in the material is in the direction of rotation of the drill bit, while the helical shape of a bit allows the removal of the cut material. 565: 32: 728: 183: 209:, to form a bifacial edge, or wedge. A wedge is a simple machine that transforms lateral force and movement of the tool into a transverse splitting force and movement of the workpiece. The available power is limited by the effort of the person using the tool, but because power is the product of force and movement, the wedge amplifies the force by reducing the movement. This amplification, or 129: 819:
A wedge will bind when the wedge included angle is less than the arctangent of the coefficient of friction between the wedge and the material. Therefore, in an elastic material such as wood, friction may bind a narrow wedge more easily than a wide one. This is why the head of a splitting maul has a
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is a compound inclined plane, consisting of two inclined planes placed so that the planes meet at one edge. When the edge where the two planes meet is pushed into a solid or fluid substance, it overcomes the resistance of materials to separate by transferring the force exerted against the material
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the greater the ratio of the lifting force to the applied force on the wedge. This is the mechanical advantage of the wedge. This formula for mechanical advantage applies to cutting edges and splitting operations, as well as to lifting.
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for those kinds of tasks. The blade of the knife allowed humans to cut meat, fibers, and other plant and animal materials with much less force than it would take to tear them apart by simply pulling with their hands. Other examples are
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of a wedge is given by the ratio of the length of its slope to its width. Although a short wedge with a wide angle may do a job faster, it requires more force than a long wedge with a narrow angle.
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is the ratio of the input speed to output speed. For a wedge, this is given by 1/tanα, where α is the tip angle. The faces of a wedge are modeled as straight lines to form a sliding or
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and chisels can separate thick and hard materials, such as wood, solid stone and hard metals and they do so with much less force, waste of material, and with more precision, than
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Consider a block that is to be lifted by a wedge. As the wedge slides under the block, the block slides up the sloped side of a wedge. This lifts the weight
816:, or narrow, the angle of a wedge, the greater the ratio of the length of its slope to its width, and thus the more mechanical advantage it will yield. 633:
The blade's first known use by humans was the sharp edge of a flint stone that was used to cleave or split animal tissue, e.g. cutting meat. The use of
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The force is applied on a flat, broad surface. This energy is transported to the pointy, sharp end of the wedge, hence the force is transported.
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Cross-section of a splitting wedge with its length oriented vertically. A downward force produces forces perpendicular to its inclined surfaces.
156:. It can be used to separate two objects or portions of an object, lift up an object, or hold an object in place. It functions by converting a 551:
are also wedges, as they split and separate the material into which they are pushed or driven; the shafts may then hold fast due to friction.
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The velocity of the block is related to the velocity of the wedge by the slope of the side of the wedge. If the angle of the wedge is
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Wedges have existed for thousands of years. They were first made of simple stone. Perhaps the first example of a wedge is the
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The wedge simply transports energy in the form of friction and collects it to the pointy end, consequently breaking the item.
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The mechanical advantage or MA of a wedge can be calculated by dividing the height of the wedge by the wedge's width:
741: 612: 115: 594: 96: 286:. If we assume the wedge does not dissipate or store energy, then the power into the wedge equals the power out. 68: 590: 53: 968: 75: 364:{\displaystyle {\frac {F_{\mathrm {B} }}{F_{\mathrm {A} }}}={\frac {v_{\mathrm {A} }}{v_{\mathrm {B} }}}.} 689: 82: 1054: 961: 575: 64: 579: 42: 673:, which is the application of the same force over a wider area of the material to be separated. 1013: 586: 49: 20: 255:
Wedges are used to lift heavy objects, separating them from the surface upon which they rest.
705: 898: 210: 165: 515:{\displaystyle MA={\frac {F_{\mathrm {B} }}{F_{\mathrm {A} }}}={\frac {1}{\tan \alpha }}.} 8: 701: 1044: 548: 937: 859: 854: 89: 931: 849: 214: 1049: 1023: 998: 984: 708: 534: 161: 153: 149: 272:
needed to lift the block is obtained by considering the velocity of the wedge
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wedges that swelled after being saturated with water were also used. Some
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They can also be used to separate objects, such as blocks of cut stone.
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wedges were used to break away blocks of stone used in construction.
920:, Third Ed., Sybil P. Parker, ed., McGraw-Hill, Inc., 1992, p. 2041. 900:
An elementary treatise on analytic mechanics: with numerous examples
564: 31: 647: 198: 141: 953: 864: 697: 670: 655: 182: 727: 431:{\displaystyle v_{\mathrm {B} }=v_{\mathrm {A} }\tan \alpha ,\!} 1008: 869: 244: 240: 228: 224: 537:
and splitting wedges are used to split wood along the grain.
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McGraw-Hill Concise Encyclopedia of Science & Technology
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into two opposing forces normal to the faces of the blade.
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Wedges can also be used to hold objects in place, such as
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applied to its blunt end into forces perpendicular (
56:. Unsourced material may be challenged and removed. 930:Antonsson, Erik K.; Cagan, Jonathan (2001-11-19). 801: 514: 430: 363: 427: 1036: 802:{\displaystyle {\rm {MA={Length \over Width}}}} 929: 243:wedges for splitting and working wood to make 205:), which is made by chipping stone, generally 969: 936:. Cambridge University Press. p. 321. 903:, D. Van Nostrand Company, pp. 202–203 593:. Unsourced material may be challenged and 976: 962: 637:or other metals led to the development of 441:which means that the mechanical advantage 613:Learn how and when to remove this message 220:The origin of the wedge is not known. In 116:Learn how and when to remove this message 892: 890: 726: 181: 127: 722: 1037: 913: 911: 896: 820:much wider angle than that of an axe. 676:Other examples of wedges are found in 540:A narrow wedge with a relatively long 957: 887: 591:adding citations to reliable sources 558: 554: 265:of the block. The horizontal force 54:adding citations to reliable sources 25: 933:Formal Engineering Design Synthesis 908: 684:Examples for holding objects faster 13: 983: 791: 788: 785: 782: 779: 774: 771: 768: 765: 762: 759: 750: 747: 480: 468: 409: 394: 350: 338: 319: 307: 250: 237:indigenous peoples of the Americas 14: 1066: 646:, which separate soil particles, 164:) to its inclined surfaces. The 654:which separate wood fibers, and 563: 30: 247:, dwellings and other objects. 41:needs additional citations for 923: 897:Bowser, Edward Albert (1884), 279:and the velocity of the block 1: 880: 525:Thus, the smaller the angle 7: 823: 10: 1071: 177: 18: 992:Classical simple machines 991: 650:which separate fabric, 803: 732: 547:The tips of forks and 516: 432: 365: 194: 133: 132:A wood splitting wedge 21:Wedge (disambiguation) 16:Triangular shaped tool 804: 730: 662:which separate wood. 517: 433: 366: 185: 152:, and one of the six 131: 742: 723:Mechanical advantage 587:improve this section 448: 385: 296: 211:mechanical advantage 166:mechanical advantage 50:improve this article 19:For other uses, see 799: 733: 512: 428: 361: 195: 134: 1032: 1031: 943:978-0-521-79247-9 795: 623: 622: 615: 555:Blades and wedges 507: 486: 356: 325: 126: 125: 118: 100: 1062: 978: 971: 964: 955: 954: 948: 947: 927: 921: 915: 906: 904: 894: 860:Quoin (printing) 855:Plug and feather 808: 806: 805: 800: 798: 797: 796: 794: 777: 757: 618: 611: 607: 604: 598: 567: 559: 521: 519: 518: 513: 508: 506: 492: 487: 485: 484: 483: 473: 472: 471: 461: 437: 435: 434: 429: 414: 413: 412: 399: 398: 397: 370: 368: 367: 362: 357: 355: 354: 353: 343: 342: 341: 331: 326: 324: 323: 322: 312: 311: 310: 300: 222:ancient Egyptian 121: 114: 110: 107: 101: 99: 58: 34: 26: 1070: 1069: 1065: 1064: 1063: 1061: 1060: 1059: 1055:Simple machines 1035: 1034: 1033: 1028: 987: 982: 952: 951: 944: 928: 924: 916: 909: 895: 888: 883: 850:Nail (fastener) 826: 778: 758: 756: 746: 745: 743: 740: 739: 725: 715:. A wedge-type 709:bottom brackets 686: 619: 608: 602: 599: 584: 568: 557: 535:Splitting mauls 496: 491: 479: 478: 474: 467: 466: 462: 460: 449: 446: 445: 408: 407: 403: 393: 392: 388: 386: 383: 382: 349: 348: 344: 337: 336: 332: 330: 318: 317: 313: 306: 305: 301: 299: 297: 294: 293: 285: 278: 271: 264: 253: 251:Uses of a wedge 215:prismatic joint 180: 154:simple machines 122: 111: 105: 102: 59: 57: 47: 35: 24: 17: 12: 11: 5: 1068: 1058: 1057: 1052: 1047: 1030: 1029: 1027: 1026: 1024:Wheel and axle 1021: 1016: 1011: 1006: 1001: 999:Inclined plane 995: 993: 989: 988: 985:Simple machine 981: 980: 973: 966: 958: 950: 949: 942: 922: 907: 885: 884: 882: 879: 878: 877: 872: 867: 862: 857: 852: 847: 842: 837: 832: 825: 822: 810: 809: 793: 790: 787: 784: 781: 776: 773: 770: 767: 764: 761: 755: 752: 749: 724: 721: 685: 682: 621: 620: 571: 569: 562: 556: 553: 523: 522: 511: 505: 502: 499: 495: 490: 482: 477: 470: 465: 459: 456: 453: 439: 438: 426: 423: 420: 417: 411: 406: 402: 396: 391: 372: 371: 360: 352: 347: 340: 335: 329: 321: 316: 309: 304: 283: 276: 269: 262: 252: 249: 179: 176: 150:inclined plane 124: 123: 38: 36: 29: 15: 9: 6: 4: 3: 2: 1067: 1056: 1053: 1051: 1048: 1046: 1043: 1042: 1040: 1025: 1022: 1020: 1017: 1015: 1012: 1010: 1007: 1005: 1002: 1000: 997: 996: 994: 990: 986: 979: 974: 972: 967: 965: 960: 959: 956: 945: 939: 935: 934: 926: 919: 914: 912: 902: 901: 893: 891: 886: 876: 873: 871: 868: 866: 863: 861: 858: 856: 853: 851: 848: 846: 843: 841: 838: 836: 833: 831: 828: 827: 821: 817: 815: 753: 738: 737: 736: 729: 720: 718: 714: 710: 707: 703: 699: 695: 694:poppet valves 691: 681: 679: 674: 672: 668: 663: 661: 657: 653: 649: 645: 640: 636: 631: 628: 617: 614: 606: 596: 592: 588: 582: 581: 577: 572:This section 570: 566: 561: 560: 552: 550: 545: 543: 538: 536: 531: 528: 509: 503: 500: 497: 493: 488: 475: 463: 457: 454: 451: 444: 443: 442: 424: 421: 418: 415: 404: 400: 389: 381: 380: 379: 377: 358: 345: 333: 327: 314: 302: 292: 291: 290: 287: 282: 275: 268: 261: 256: 248: 246: 242: 238: 234: 230: 226: 223: 218: 216: 212: 208: 204: 200: 193: 189: 184: 175: 172: 169: 167: 163: 159: 155: 151: 148:, a portable 147: 143: 139: 130: 120: 117: 109: 98: 95: 91: 88: 84: 81: 77: 74: 70: 67: –  66: 62: 61:Find sources: 55: 51: 45: 44: 39:This article 37: 33: 28: 27: 22: 1018: 932: 925: 917: 899: 845:Log splitter 830:Cotter (pin) 818: 811: 734: 687: 675: 664: 632: 624: 609: 600: 585:Please help 573: 546: 539: 532: 526: 524: 440: 375: 373: 288: 280: 273: 266: 259: 257: 254: 219: 203:Olorgesailie 196: 173: 170: 137: 135: 112: 103: 93: 86: 79: 72: 60: 48:Please help 43:verification 40: 875:Wheel chock 835:Drawing pin 186:Flint hand 1039:Categories 881:References 678:drill bits 603:March 2021 201:(see also 192:Winchester 142:triangular 106:March 2021 76:newspapers 1045:Mechanics 812:The more 717:door stop 706:eccentric 574:does not 504:α 501:⁡ 422:α 419:⁡ 190:found in 824:See also 671:crushing 665:Wedges, 648:scissors 225:quarries 199:hand axe 865:Scalpel 711:), and 700:parts ( 698:bicycle 692:parts ( 656:chisels 595:removed 580:sources 178:History 144:shaped 90:scholar 65:"Wedge" 1009:Pulley 940:  870:Sickle 690:engine 660:planes 639:knives 245:canoes 241:antler 233:Wooden 229:bronze 162:normal 92:  85:  78:  71:  63:  1050:Tools 1019:Wedge 1014:Screw 1004:Lever 814:acute 713:doors 702:stems 644:plows 627:blade 549:nails 542:taper 378:then 239:used 207:flint 158:force 140:is a 138:wedge 97:JSTOR 83:books 938:ISBN 840:Froe 704:and 667:saws 658:and 652:axes 635:iron 625:The 578:any 576:cite 146:tool 69:news 696:), 589:by 498:tan 416:tan 289:Or 188:axe 52:by 1041:: 910:^ 889:^ 227:, 217:. 136:A 977:e 970:t 963:v 946:. 905:. 792:h 789:t 786:d 783:i 780:W 775:h 772:t 769:g 766:n 763:e 760:L 754:= 751:A 748:M 616:) 610:( 605:) 601:( 597:. 583:. 527:α 510:. 494:1 489:= 481:A 476:F 469:B 464:F 458:= 455:A 452:M 425:, 410:A 405:v 401:= 395:B 390:v 376:α 359:. 351:B 346:v 339:A 334:v 328:= 320:A 315:F 308:B 303:F 284:B 281:v 277:A 274:v 270:A 267:F 263:B 260:F 119:) 113:( 108:) 104:( 94:· 87:· 80:· 73:· 46:. 23:.

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Wedge (disambiguation)

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triangular
tool
inclined plane
simple machines
force
normal
mechanical advantage

axe
Winchester
hand axe
Olorgesailie
flint
mechanical advantage
prismatic joint
ancient Egyptian
quarries

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