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Radian per second

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664: 36: 142: 572: 402: 361: 622: 541: 100: 705: 72: 546: 79: 729: 449: 53: 17: 119: 494: 86: 173: 57: 515:, no numerical factor needed when performing the numerical calculation. When the units are not coherent (e.g. 68: 644: 453: 221: 368: 698: 724: 632: 448:
A use of the unit radian per second is in calculation of the power transmitted by a shaft. In the
269: 46: 734: 303: 93: 691: 346: 679: 628: 241: 291:, the radian per second is dimensionally equivalent to the hertz—both can be expressed as 8: 524: 240:, omega). The radian per second is defined as the angular frequency that results in the 292: 284: 596: 233: 551: 536: 296: 261: 217: 311: 675: 718: 188: 520: 511: 502: 663: 461: 154: 516: 253: 162:), by a factor of 2π, because 2π rad/s corresponds to 1 Hz. 35: 141: 671: 457: 473: 229: 225: 299:
is being expressed, angular frequency or ordinary frequency.
273: 257: 159: 148: 507: 498: 497:
are used for these quantities, which are respectively the
288: 178: 264:(1 cps), corresponds to an angular frequency of 2 527:), an additional factor will generally be necessary. 371: 349: 302:
One radian per second also corresponds to about 9.55
314:, where 1 degree per second (°/s) is equivalent to 152:(in radians per second), is greater than frequency 60:. Unsourced material may be challenged and removed. 396: 355: 716: 542:Normalized frequency (digital signal processing) 27:SI unit of angular velocity or angular frequency 295:, s. So, context is necessary to specify which 699: 571:"6.1: Rotation Angle and Angular Velocity". 706: 692: 247: 140: 621:"Metric Conversion: Language Resources". 120:Learn how and when to remove this message 268:radians per second. This is because one 244:increasing by one radian every second. 14: 717: 547:Order of magnitude (angular velocity) 658: 397:{\displaystyle \nu =\omega /{2\pi }} 58:adding citations to reliable sources 29: 24: 450:International System of Quantities 25: 746: 597:"radians per second :: unit" 501:, the radian per second, and the 443: 662: 34: 629:Macquarie Dictionary Publishers 45:needs additional citations for 614: 589: 564: 468:is equal to the angular speed 310:may also be defined, based on 13: 1: 645:National Library of Australia 557: 454:International System of Units 222:International System of Units 678:. You can help Knowledge by 7: 530: 10: 751: 657: 730:Units of angular velocity 194: 184: 172: 167: 139: 134: 338:Quantity correspondence 356:{\displaystyle \omega } 248:Relation to other units 232:is also the SI unit of 674:-related article is a 479:applied to the shaft: 398: 357: 304:revolutions per minute 283:Since the radian is a 399: 358: 624:Macquarie Dictionary 369: 347: 260:(1 Hz), or one 242:angular displacement 54:improve this article 635:on 29 February 2016 419:≈ 0.159155 Hz 339: 168:General information 69:"Radian per second" 472:multiplied by the 427:≈ 9.5493 rpm 394: 353: 343:Angular frequency 337: 308:Degrees per second 293:reciprocal seconds 285:dimensionless unit 272:corresponds to an 198:rad/s, rad⋅s 18:Radians per second 687: 686: 456:, widely used in 439: 438: 432:0.1047 rad/s 270:cycle of rotation 234:angular frequency 216:) is the unit of 206:radian per second 202: 201: 135:radian per second 130: 129: 122: 104: 16:(Redirected from 742: 725:SI derived units 708: 701: 694: 666: 659: 649: 648: 642: 640: 631:. Archived from 618: 612: 611: 609: 607: 593: 587: 586: 584: 582: 568: 552:Radian per metre 537:Cycle per second 514: 492: 403: 401: 400: 395: 393: 385: 362: 360: 359: 354: 340: 336: 331: 329: 328: 325: 322: 321: 297:kind of quantity 279: 267: 262:cycle per second 218:angular velocity 144: 132: 131: 125: 118: 114: 111: 105: 103: 62: 38: 30: 21: 750: 749: 745: 744: 743: 741: 740: 739: 715: 714: 713: 712: 655: 653: 652: 638: 636: 620: 619: 615: 605: 603: 595: 594: 590: 580: 578: 574:College Physics 570: 569: 565: 560: 533: 506: 480: 446: 386: 381: 370: 367: 366: 348: 345: 344: 326: 323: 319: 318: 317: 315: 277: 265: 250: 163: 126: 115: 109: 106: 63: 61: 51: 39: 28: 23: 22: 15: 12: 11: 5: 748: 738: 737: 732: 727: 711: 710: 703: 696: 688: 685: 684: 667: 651: 650: 613: 601:conversion.org 588: 562: 561: 559: 556: 555: 554: 549: 544: 539: 532: 529: 495:coherent units 445: 444:Coherent units 442: 441: 440: 437: 436: 433: 429: 428: 425: 421: 420: 417: 413: 412: 409: 405: 404: 392: 389: 384: 380: 377: 374: 363: 352: 249: 246: 200: 199: 196: 192: 191: 186: 182: 181: 176: 170: 169: 165: 164: 146:Angular speed 145: 137: 136: 128: 127: 42: 40: 33: 26: 9: 6: 4: 3: 2: 747: 736: 735:Physics stubs 733: 731: 728: 726: 723: 722: 720: 709: 704: 702: 697: 695: 690: 689: 683: 681: 677: 673: 668: 665: 661: 660: 656: 646: 634: 630: 626: 625: 617: 602: 598: 592: 576: 575: 567: 563: 553: 550: 548: 545: 543: 540: 538: 535: 534: 528: 526: 522: 518: 513: 509: 504: 500: 496: 491: 487: 483: 478: 475: 471: 467: 463: 459: 455: 452:(SI) and the 451: 435:≈ 1 rpm 434: 431: 430: 426: 423: 422: 418: 415: 414: 410: 408:2π rad/s 407: 406: 390: 387: 382: 378: 375: 372: 364: 350: 342: 341: 335: 334: 333: 313: 312:degree of arc 309: 305: 300: 298: 294: 290: 286: 281: 276:rotation of 2 275: 271: 263: 259: 255: 245: 243: 239: 235: 231: 227: 223: 219: 215: 211: 207: 197: 193: 190: 189:angular speed 187: 183: 180: 177: 175: 171: 166: 161: 157: 156: 151: 150: 143: 138: 133: 124: 121: 113: 102: 99: 95: 92: 88: 85: 81: 78: 74: 71: –  70: 66: 65:Find sources: 59: 55: 49: 48: 43:This article 41: 37: 32: 31: 19: 680:expanding it 669: 654: 643:– via 637:. Retrieved 633:the original 623: 616: 604:. Retrieved 600: 591: 579:. Retrieved 573: 566: 503:newton-metre 489: 485: 481: 476: 469: 465: 464:, the power 447: 424:1 rad/s 416:1 rad/s 307: 301: 282: 251: 237: 213: 209: 205: 203: 185:Unit of 153: 147: 116: 110:January 2024 107: 97: 90: 83: 76: 64: 52:Please help 47:verification 44: 505:, and thus 462:engineering 174:Unit system 719:Categories 639:27 January 606:28 January 581:20 January 577:. OpenStax 558:References 525:pound-foot 523:/min, and 517:horsepower 510:= rad/s × 411:1 Hz 365:Frequency 280:radians. 224:(SI). The 80:newspapers 391:π 379:ω 373:ν 351:ω 254:frequency 208:(symbol: 531:See also 493:. When 236:(symbol 672:physics 458:physics 332:rad⋅s. 330:⁠ 316:⁠ 306:(rpm). 287:in the 274:angular 256:of one 220:in the 94:scholar 474:torque 230:second 226:radian 195:Symbol 96:  89:  82:  75:  67:  670:This 258:hertz 214:rad/s 210:rad⋅s 101:JSTOR 87:books 676:stub 641:2024 608:2024 583:2024 521:turn 499:watt 460:and 228:per 204:The 158:(in 73:news 512:N·m 327:180 212:or 56:by 721:: 627:. 599:. 519:, 488:⋅ 484:= 289:SI 252:A 179:SI 160:Hz 707:e 700:t 693:v 682:. 647:. 610:. 585:. 508:W 490:τ 486:ω 482:p 477:τ 470:ω 466:p 388:2 383:/ 376:= 324:/ 320:π 278:π 266:π 238:ω 155:ν 149:ω 123:) 117:( 112:) 108:( 98:· 91:· 84:· 77:· 50:. 20:)

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Radians per second

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ω
ν
Hz
Unit system
SI
angular speed
angular velocity
International System of Units
radian
second
angular frequency
angular displacement
frequency
hertz
cycle per second
cycle of rotation
angular

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