Convert degree per second to radian per second instantly. Type in either field — results update live.
Selected °/s values converted to rad/s using the exact factor from this tool.
| °/s | rad/s |
|---|---|
| 0.01 | 0.0001745329 |
| 0.1 | 0.0017453293 |
| 1 | 0.0174532925 |
| 2 | 0.034906585 |
| 3 | 0.0523598776 |
| 5 | 0.0872664626 |
| 10 | 0.1745329252 |
| 20 | 0.3490658504 |
| 50 | 0.872664626 |
| 100 | 1.745329252 |
| 1,000 | 17.45329252 |
Exact conversion factors in both directions, plus a worked example.
1 °/s = 0.0174532925 rad/s
1 rad/s = 57.2957795129 °/s
To convert degree per second to radian per second, multiply by 0.0174532925.
To convert radian per second to degree per second, multiply by 57.2957795129.
Example: convert 10 °/s to rad/s
10 × 0.0174532925 = 0.1745329252 rad/s
Short background on the units used in this conversion.
Degrees per second (°/s) measure angular speed using ordinary degrees instead of radians — about 0.017453 rad/s per °/s.
Degrees per second rate pan-tilt camera heads, antenna slew speeds, and motion-control profiles in automation.
The radian per second (rad/s) is the SI unit of angular velocity — how fast an angle increases, in radians per second.
Radians per second describe servo motors, robotics joint speeds, and physics problems in SI units.
rad/s = °/s × 0.0174532925°/s = rad/s × 57.2957795129, using the same exact factors as this converter.Jump to any angular velocity conversion starting from degree per second — including the reverse direction and every other unit in our dataset.