How to convert degrees per second to radians per second
rad/s = °/s × 0.01745329252Multiply the value in degrees per second by 0.01745329252. To go the other way, multiply by 57.29577951 (or divide by 0.01745329252).
A degree per second is smaller than a radian per second: it takes 57.29577951 degrees per second to make one radian per second.
Worked examples
- 1 degree per second1 °/s × 0.01745329252 = 0.01745329252 rad/s
- 5 degrees per second5 °/s × 0.01745329252 = 0.0872664626 rad/s
- 10 degrees per second10 °/s × 0.01745329252 = 0.1745329252 rad/s
- 20 degrees per second20 °/s × 0.01745329252 = 0.3490658504 rad/s
- 100 degrees per second100 °/s × 0.01745329252 = 1.745329252 rad/s
Degrees per second to radians per second conversion table
Values are calculated by the conversion engine and rounded to 8 significant figures.
| Degrees per second (°/s) | Radians per second (rad/s) |
|---|---|
| 0.1 °/s | 0.0017453293 rad/s |
| 0.25 °/s | 0.0043633231 rad/s |
| 0.5 °/s | 0.0087266463 rad/s |
| 1 °/s | 0.017453293 rad/s |
| 2 °/s | 0.034906585 rad/s |
| 3 °/s | 0.052359878 rad/s |
| 4 °/s | 0.06981317 rad/s |
| 5 °/s | 0.087266463 rad/s |
| 6 °/s | 0.10471976 rad/s |
| 7 °/s | 0.12217305 rad/s |
| 8 °/s | 0.13962634 rad/s |
| 9 °/s | 0.15707963 rad/s |
| 10 °/s | 0.17453293 rad/s |
| Degrees per second (°/s) | Radians per second (rad/s) |
|---|---|
| 12 °/s | 0.20943951 rad/s |
| 15 °/s | 0.26179939 rad/s |
| 20 °/s | 0.34906585 rad/s |
| 25 °/s | 0.43633231 rad/s |
| 30 °/s | 0.52359878 rad/s |
| 40 °/s | 0.6981317 rad/s |
| 50 °/s | 0.87266463 rad/s |
| 75 °/s | 1.3089969 rad/s |
| 100 °/s | 1.7453293 rad/s |
| 250 °/s | 4.3633231 rad/s |
| 500 °/s | 8.7266463 rad/s |
| 1,000 °/s | 17.453293 rad/s |
About the units
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).
Radian per second (rad/s)
The SI unit of angular velocity.
Frequently asked questions
How many radians per second are in one degree per second?
There are 0.01745329252 radians per second in one degree per second, and this value is exact by definition.
How do I convert degrees per second to radians per second?
Multiply the number of degrees per second by 0.01745329252. For example, 10 °/s × 0.01745329252 = 0.1745329252 rad/s.
How many degrees per second are in one radian per second?
One radian per second equals 57.29577951 degrees per second. That is the reverse factor, 1 ÷ 0.01745329252.
What is 10 degrees per second in radians per second?
10 °/s = 0.1745329252 rad/s.
Is this °/s to rad/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.