Radian per Second (rad/s)
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.
Radian per Second to Degree per Second
Convert radian per second to degree per second instantly. Type in either field — results update live.
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Angular Velocity Radian per Second Degree per Second
1 radian per second = 57.2957795129 degrees per second
Unit
Unit
Conversion table
Selected rad/s values converted to °/s using the exact factor from this tool.
| rad/s | °/s |
|---|---|
| 0.01 | 0.5729577951 |
| 0.1 | 5.7295779513 |
| 1 | 57.2957795129 |
| 2 | 114.5915590258 |
| 3 | 171.8873385387 |
| 5 | 286.4788975645 |
| 10 | 572.957795129 |
| 20 | 1,145.9155902579 |
| 50 | 2,864.7889756448 |
| 100 | 5,729.5779512896 |
| 1,000 | 57,295.7795128962 |
How to convert
Exact conversion factors in both directions, plus a worked example.
1 rad/s = 57.2957795129 °/s
1 °/s = 0.0174532925 rad/s
To convert radian per second to degree per second, multiply by 57.2957795129.
To convert degree per second to radian per second, multiply by 0.0174532925.
Example: convert 10 rad/s to °/s
10 × 57.2957795129 = 572.957795129 °/s
About these units
Short background on the units used in this conversion.
Degree per Second (°/s)
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.
Frequently asked questions
How many degrees per second are in one radian per second?
One radian per second equals 57.2957795129 degrees per second. Multiply your radians per second value by 57.2957795129 to convert to degrees per second.
What is the conversion formula?
°/s = rad/s × 57.2957795129The reverse is
rad/s = °/s × 0.0174532925, using the same exact factors as this converter.Is this Radian per Second to Degree per Second converter private?
Yes. All calculations run locally in your browser. Nothing you type is sent to a server.
All radian per second conversions
Jump to any angular velocity conversion starting from radian per second — including the reverse direction and every other unit in our dataset.
degree per second (°/s) → radian per second (rad/s)
radian per second (rad/s) → revolution per minute (rpm) (RPM)radian per second (rad/s) → revolution per second (rev/s)radian per second (rad/s) → radian per minute (rad/min)radian per second (rad/s) → degree per minute (°/min)radian per second (rad/s) → radian per hour (rad/h)radian per second (rad/s) → degree per hour (°/h)radian per second (rad/s) → revolution per hour (rev/h)radian per second (rad/s) → radian per day (rad/d)radian per second (rad/s) → degree per day (°/d)radian per second (rad/s) → revolution per day (rev/d)