Radians per Second to Hertz Converter
Convert radians per second (rad/s) to hertz (cycles per second) (Hz), with the formula, a conversion table and exact factors.
Change the values and press Calculate to work out your own figures.
Enter a frequency, choose its unit and the unit you want. The answer is exact until it is shown, and the same value appears in every other unit.
Show the working
- 1 rad/s = 0.159154943092 Hz
- 1 × 0.159154943092 = 0.159154943092 Hz
How to convert radians per second to hertz
1 rad/s = 0.159154943092 Hz, so multiply by 0.159154943092 to go from radians per second to hertz (cycles per second). Going the other way, 1 Hz = 6.28318530718 rad/s.
Hz = rad/s × 0.159154943092 rad/s = Hz × 6.28318530718
Worked example:
1 rad/s = 0.159154943092 Hz 5 × 0.159154943092 = 0.795774715459 Hz
Radians per Second to hertz table
| Radians per Second | Hertz |
|---|---|
| 1 rad/s | 0.159154943092 Hz |
| 2 rad/s | 0.318309886184 Hz |
| 3 rad/s | 0.477464829276 Hz |
| 4 rad/s | 0.636619772368 Hz |
| 5 rad/s | 0.795774715459 Hz |
| 6 rad/s | 0.954929658551 Hz |
| 7 rad/s | 1.11408460164 Hz |
| 8 rad/s | 1.27323954474 Hz |
| 9 rad/s | 1.43239448783 Hz |
| 10 rad/s | 1.59154943092 Hz |
| 15 rad/s | 2.38732414638 Hz |
| 20 rad/s | 3.18309886184 Hz |
| 25 rad/s | 3.9788735773 Hz |
| 30 rad/s | 4.77464829276 Hz |
| 40 rad/s | 6.36619772368 Hz |
| 50 rad/s | 7.95774715459 Hz |
| 75 rad/s | 11.9366207319 Hz |
| 100 rad/s | 15.9154943092 Hz |
| 250 rad/s | 39.788735773 Hz |
| 500 rad/s | 79.5774715459 Hz |
| 1000 rad/s | 159.154943092 Hz |
About the units
- Radians per Second (rad/s)
- Radians per second, a metric unit. Involves π, which no fraction equals exactly; this converter uses π to 50 significant digits, far beyond the 12 digits shown. Definition: BIPM SI Brochure, 9th edition (SI units, prefixes and units accepted for use with the SI).
- Hertz (Hz)
- Hertz (cycles per second), a metric unit. Definition: BIPM SI Brochure, 9th edition (SI units, prefixes and units accepted for use with the SI).