Radians per Second to Cycles per Second: 1 rad/s equals 0.159155 cps. To convert radians per second to cycles per second, multiply by 0.159155 (cps = rad/s × 0.159155). For example, 10 rad/s = 1.59155 cps.
How to Convert Radians per Second to Cycles per Second
To convert from radians per second to cycles per second, multiply the value by 0.159155. The conversion is linear, meaning doubling the input doubles the output.
Conversion Formula
- Radians per Second to Cycles per Second:
cps = rad/s × 0.159155 - Cycles per Second to Radians per Second:
rad/s = cps ÷ 0.159155
Radians per Second to Cycles per Second Conversion Chart
| Radians per Second (rad/s) | Cycles per Second (cps) |
|---|---|
| 0.1 | 0.015915 |
| 0.25 | 0.039789 |
| 0.5 | 0.079577 |
| 1 | 0.159155 |
| 2 | 0.31831 |
| 3 | 0.477465 |
| 5 | 0.795775 |
| 10 | 1.59155 |
| 20 | 3.1831 |
| 25 | 3.978875 |
| 50 | 7.95775 |
| 100 | 15.9155 |
| 250 | 39.78875 |
| 1000 | 159.155 |
Understanding the Units
What is a Cycles per Second?
The hertz is the SI derived unit of frequency, equal to one cycle per second (1 Hz = 1/s).
Named after Heinrich Hertz (1857–1894), German physicist who experimentally demonstrated electromagnetic waves.
Common contexts: audio, radio, computing clock speeds.
Real-World Reference Points
| Item | Radians per Second (rad/s) | Cycles per Second (cps) |
|---|---|---|
| US power-grid frequency | 376.991 | 60 |
| Concert pitch (A4) | 2764.6005 | 440 |