How to convert radians per second to degrees per second
°/s = rad/s × 57.29577951Multiply the value in radians per second by 57.29577951. To go the other way, multiply by 0.01745329252 (or divide by 57.29577951).
A radian per second is larger than a degree per second: one radian per second contains 57.29577951 degrees per second.
Worked examples
- 1 radian per second1 rad/s × 57.29577951 = 57.29577951 °/s
- 5 radians per second5 rad/s × 57.29577951 = 286.4788976 °/s
- 10 radians per second10 rad/s × 57.29577951 = 572.9577951 °/s
- 20 radians per second20 rad/s × 57.29577951 = 1,145.91559 °/s
- 100 radians per second100 rad/s × 57.29577951 = 5,729.577951 °/s
Radians per second to degrees per second conversion table
Values are calculated by the conversion engine and rounded to 8 significant figures.
| Radians per second (rad/s) | Degrees per second (°/s) |
|---|---|
| 0.1 rad/s | 5.729578 °/s |
| 0.25 rad/s | 14.323945 °/s |
| 0.5 rad/s | 28.64789 °/s |
| 1 rad/s | 57.29578 °/s |
| 2 rad/s | 114.59156 °/s |
| 3 rad/s | 171.88734 °/s |
| 4 rad/s | 229.18312 °/s |
| 5 rad/s | 286.4789 °/s |
| 6 rad/s | 343.77468 °/s |
| 7 rad/s | 401.07046 °/s |
| 8 rad/s | 458.36624 °/s |
| 9 rad/s | 515.66202 °/s |
| 10 rad/s | 572.9578 °/s |
| Radians per second (rad/s) | Degrees per second (°/s) |
|---|---|
| 12 rad/s | 687.54935 °/s |
| 15 rad/s | 859.43669 °/s |
| 20 rad/s | 1,145.9156 °/s |
| 25 rad/s | 1,432.3945 °/s |
| 30 rad/s | 1,718.8734 °/s |
| 40 rad/s | 2,291.8312 °/s |
| 50 rad/s | 2,864.789 °/s |
| 75 rad/s | 4,297.1835 °/s |
| 100 rad/s | 5,729.578 °/s |
| 250 rad/s | 14,323.945 °/s |
| 500 rad/s | 28,647.89 °/s |
| 1,000 rad/s | 57,295.78 °/s |
About the units
Radian per second (rad/s)
The SI unit of angular velocity.
Degree per second (°/s)
The degree per second (°/s) is a unit of angular velocity. One degree per second equals 0.01745329252 radians per second (rad/s).
Frequently asked questions
How many degrees per second are in one radian per second?
There are 57.29577951 degrees per second in one radian per second, and this value is exact by definition.
How do I convert radians per second to degrees per second?
Multiply the number of radians per second by 57.29577951. For example, 10 rad/s × 57.29577951 = 572.9577951 °/s.
How many radians per second are in one degree per second?
One degree per second equals 0.01745329252 radians per second. That is the reverse factor, 1 ÷ 57.29577951.
What is 10 radians per second in degrees per second?
10 rad/s = 572.9577951 °/s.
Is this rad/s to °/s 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.