How to convert radians per second to hertz
Hz = rad/s × 0.1591549431Multiply the value in radians per second by 0.1591549431. To go the other way, multiply by 6.283185307 (or divide by 0.1591549431).
A radian per second is smaller than a hertz: it takes 6.283185307 radians per second to make one hertz.
Worked examples
- 1 radian per second (angular frequency)1 rad/s × 0.1591549431 = 0.1591549431 Hz
- 5 radians per second5 rad/s × 0.1591549431 = 0.7957747155 Hz
- 10 radians per second10 rad/s × 0.1591549431 = 1.591549431 Hz
- 20 radians per second20 rad/s × 0.1591549431 = 3.183098862 Hz
- 100 radians per second100 rad/s × 0.1591549431 = 15.91549431 Hz
Radians per second to hertz conversion table
Values are calculated by the conversion engine and rounded to 8 significant figures.
| Radians per second (rad/s) | Hertz (Hz) |
|---|---|
| 0.1 rad/s | 0.015915494 Hz |
| 0.25 rad/s | 0.039788736 Hz |
| 0.5 rad/s | 0.079577472 Hz |
| 1 rad/s | 0.15915494 Hz |
| 2 rad/s | 0.31830989 Hz |
| 3 rad/s | 0.47746483 Hz |
| 4 rad/s | 0.63661977 Hz |
| 5 rad/s | 0.79577472 Hz |
| 6 rad/s | 0.95492966 Hz |
| 7 rad/s | 1.1140846 Hz |
| 8 rad/s | 1.2732395 Hz |
| 9 rad/s | 1.4323945 Hz |
| 10 rad/s | 1.5915494 Hz |
| Radians per second (rad/s) | Hertz (Hz) |
|---|---|
| 12 rad/s | 1.9098593 Hz |
| 15 rad/s | 2.3873241 Hz |
| 20 rad/s | 3.1830989 Hz |
| 25 rad/s | 3.9788736 Hz |
| 30 rad/s | 4.7746483 Hz |
| 40 rad/s | 6.3661977 Hz |
| 50 rad/s | 7.9577472 Hz |
| 75 rad/s | 11.936621 Hz |
| 100 rad/s | 15.915494 Hz |
| 250 rad/s | 39.788736 Hz |
| 500 rad/s | 79.577472 Hz |
| 1,000 rad/s | 159.15494 Hz |
About the units
Radian per second (rad/s)
The radian per second (rad/s) is a unit of frequency in the International System of Units (SI). One radian per second equals 0.1591549431 hertz (Hz).
Hertz (Hz)
One cycle per second.
Frequently asked questions
How many hertz are in one radian per second?
There are 0.1591549431 hertz in one radian per second, and this value is exact by definition.
How do I convert radians per second to hertz?
Multiply the number of radians per second by 0.1591549431. For example, 10 rad/s × 0.1591549431 = 1.591549431 Hz.
How many radians per second are in one hertz?
One hertz equals 6.283185307 radians per second. That is the reverse factor, 1 ÷ 0.1591549431.
What is 10 radians per second in hertz?
10 rad/s = 1.591549431 Hz.
Is this rad/s to Hz converter accurate?
Yes. Both units are defined exactly in terms of SI units, so the conversion factor is exact; results are shown to 12 significant figures by default and you can change precision in the converter. Calculations run in your browser using the same tested engine that generated this page.