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The formula to calculate Radians per Second (rad/s) from Kilohertz (kHz) is:
\[ \text{rad/s} = \text{kHz} \times 6283.185307 \]
Where:
Kilohertz (kHz) is a unit of frequency, representing one thousand cycles per second. Radians per Second (rad/s) is a unit of angular velocity, representing the angle in radians through which a point or line has rotated in one second. The conversion from Kilohertz to Radians per Second is straightforward: multiply the frequency in Kilohertz by 6283.185307.
Let's assume the following value:
Using the formula:
\[ \text{rad/s} = 5 \times 6283.185307 \]
\[ \text{rad/s} = 31415.926535 \]
The Frequency (rad/s) is 31415.926535 rad/s.
| Frequency (kHz) | Frequency (rad/s) |
|---|---|
| 1 | 6,283.185307 |
| 2 | 12,566.370614 |
| 3 | 18,849.555921 |
| 4 | 25,132.741228 |
| 5 | 31,415.926535 |
| 6 | 37,699.111842 |
| 7 | 43,982.297149 |
| 8 | 50,265.482456 |
| 9 | 56,548.667763 |
| 10 | 62,831.853070 |
| 11 | 69,115.038377 |
| 12 | 75,398.223684 |
| 13 | 81,681.408991 |
| 14 | 87,964.594298 |
| 15 | 94,247.779605 |
| 16 | 100,530.964912 |
| 17 | 106,814.150219 |
| 18 | 113,097.335526 |
| 19 | 119,380.520833 |
| 20 | 125,663.706140 |
| 21 | 131,946.891447 |
| 22 | 138,230.076754 |
| 23 | 144,513.262061 |
| 24 | 150,796.447368 |
| 25 | 157,079.632675 |
| 26 | 163,362.817982 |
| 27 | 169,646.003289 |
| 28 | 175,929.188596 |
| 29 | 182,212.373903 |
| 30 | 188,495.559210 |
| 31 | 194,778.744517 |
| 32 | 201,061.929824 |
| 33 | 207,345.115131 |
| 34 | 213,628.300438 |
| 35 | 219,911.485745 |
| 36 | 226,194.671052 |
| 37 | 232,477.856359 |
| 38 | 238,761.041666 |
| 39 | 245,044.226973 |
| 40 | 251,327.412280 |
| 41 | 257,610.597587 |
| 42 | 263,893.782894 |
| 43 | 270,176.968201 |
| 44 | 276,460.153508 |
| 45 | 282,743.338815 |
| 46 | 289,026.524122 |
| 47 | 295,309.709429 |
| 48 | 301,592.894736 |
| 49 | 307,876.080043 |
| 50 | 314,159.265350 |
| 51 | 320,442.450657 |
| 52 | 326,725.635964 |
| 53 | 333,008.821271 |
| 54 | 339,292.006578 |
| 55 | 345,575.191885 |
| 56 | 351,858.377192 |
| 57 | 358,141.562499 |
| 58 | 364,424.747806 |
| 59 | 370,707.933113 |
| 60 | 376,991.118420 |
| 61 | 383,274.303727 |
| 62 | 389,557.489034 |
| 63 | 395,840.674341 |
| 64 | 402,123.859648 |
| 65 | 408,407.044955 |
| 66 | 414,690.230262 |
| 67 | 420,973.415569 |
| 68 | 427,256.600876 |
| 69 | 433,539.786183 |
| 70 | 439,822.971490 |
| 71 | 446,106.156797 |
| 72 | 452,389.342104 |
| 73 | 458,672.527411 |
| 74 | 464,955.712718 |
| 75 | 471,238.898025 |
| 76 | 477,522.083332 |
| 77 | 483,805.268639 |
| 78 | 490,088.453946 |
| 79 | 496,371.639253 |
| 80 | 502,654.824560 |
| 81 | 508,938.009867 |
| 82 | 515,221.195174 |
| 83 | 521,504.380481 |
| 84 | 527,787.565788 |
| 85 | 534,070.751095 |
| 86 | 540,353.936402 |
| 87 | 546,637.121709 |
| 88 | 552,920.307016 |
| 89 | 559,203.492323 |
| 90 | 565,486.677630 |
| 91 | 571,769.862937 |
| 92 | 578,053.048244 |
| 93 | 584,336.233551 |
| 94 | 590,619.418858 |
| 95 | 596,902.604165 |
| 96 | 603,185.789472 |
| 97 | 609,468.974779 |
| 98 | 615,752.160086 |
| 99 | 622,035.345393 |
| 100 | 628,318.530700 |