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The formula to calculate Hertz (Hz) from Radians per Second (rad/s) is:
\[ \text{Hz} = \frac{\text{rad/s}}{2\pi} \]
Where:
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. Hertz (Hz) is a unit of frequency, representing one cycle per second. The conversion from Radians per Second to Hertz is straightforward: divide the frequency in Radians per Second by \(2\pi\).
Let's assume the following value:
Using the formula:
\[ \text{Hz} = \frac{10}{2\pi} \]
\[ \text{Hz} = 1.59155 \]
The Frequency (Hz) is 1.59155 Hz.
| Frequency (rad/s) | Frequency (Hz) |
|---|---|
| 1 | 0.159155 |
| 2 | 0.318310 |
| 3 | 0.477465 |
| 4 | 0.636620 |
| 5 | 0.795775 |
| 6 | 0.954930 |
| 7 | 1.114085 |
| 8 | 1.273240 |
| 9 | 1.432394 |
| 10 | 1.591549 |
| 11 | 1.750704 |
| 12 | 1.909859 |
| 13 | 2.069014 |
| 14 | 2.228169 |
| 15 | 2.387324 |
| 16 | 2.546479 |
| 17 | 2.705634 |
| 18 | 2.864789 |
| 19 | 3.023944 |
| 20 | 3.183099 |
| 21 | 3.342254 |
| 22 | 3.501409 |
| 23 | 3.660564 |
| 24 | 3.819719 |
| 25 | 3.978874 |
| 26 | 4.138029 |
| 27 | 4.297183 |
| 28 | 4.456338 |
| 29 | 4.615493 |
| 30 | 4.774648 |
| 31 | 4.933803 |
| 32 | 5.092958 |
| 33 | 5.252113 |
| 34 | 5.411268 |
| 35 | 5.570423 |
| 36 | 5.729578 |
| 37 | 5.888733 |
| 38 | 6.047888 |
| 39 | 6.207043 |
| 40 | 6.366198 |
| 41 | 6.525353 |
| 42 | 6.684508 |
| 43 | 6.843663 |
| 44 | 7.002817 |
| 45 | 7.161972 |
| 46 | 7.321127 |
| 47 | 7.480282 |
| 48 | 7.639437 |
| 49 | 7.798592 |
| 50 | 7.957747 |
| 51 | 8.116902 |
| 52 | 8.276057 |
| 53 | 8.435212 |
| 54 | 8.594367 |
| 55 | 8.753522 |
| 56 | 8.912677 |
| 57 | 9.071832 |
| 58 | 9.230987 |
| 59 | 9.390142 |
| 60 | 9.549297 |
| 61 | 9.708452 |
| 62 | 9.867606 |
| 63 | 10.026761 |
| 64 | 10.185916 |
| 65 | 10.345071 |
| 66 | 10.504226 |
| 67 | 10.663381 |
| 68 | 10.822536 |
| 69 | 10.981691 |
| 70 | 11.140846 |
| 71 | 11.300001 |
| 72 | 11.459156 |
| 73 | 11.618311 |
| 74 | 11.777466 |
| 75 | 11.936621 |
| 76 | 12.095776 |
| 77 | 12.254931 |
| 78 | 12.414086 |
| 79 | 12.573241 |
| 80 | 12.732395 |
| 81 | 12.891550 |
| 82 | 13.050705 |
| 83 | 13.209860 |
| 84 | 13.369015 |
| 85 | 13.528170 |
| 86 | 13.687325 |
| 87 | 13.846480 |
| 88 | 14.005635 |
| 89 | 14.164790 |
| 90 | 14.323945 |
| 91 | 14.483100 |
| 92 | 14.642255 |
| 93 | 14.801410 |
| 94 | 14.960565 |
| 95 | 15.119720 |
| 96 | 15.278875 |
| 97 | 15.438029 |
| 98 | 15.597184 |
| 99 | 15.756339 |
| 100 | 15.915494 |