Degrees per second to radians per second
Type a value in degrees per second to see it in radians per second straight away, or type in the second box to convert back.
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Processing and privacy: The result is calculated inside your browser and your data is not sent to any server.
How to use it
- Type the value in the degrees per second box.
- Read the result in radians per second as you type, and pick the precision you need.
- Swap the direction to convert back, or copy the result.
How it is calculated
rad/s = °/s × 0.01745329252
Multiply the value in degrees per second by 0.01745329252 to get radians per second.
Example
To convert 25 °/s to radians per second: 25 × 0.01745329252 = 0.436332 rad/s.
Conversion table
| Degrees per second (°/s) | Radians per second (rad/s) |
|---|---|
| 1 | 0.0174533 |
| 2 | 0.0349066 |
| 3 | 0.0523599 |
| 5 | 0.0872665 |
| 10 | 0.174533 |
| 20 | 0.349066 |
| 25 | 0.436332 |
| 50 | 0.872665 |
| 100 | 1.74533 |
| 250 | 4.36332 |
| 500 | 8.72665 |
| 1,000 | 17.4533 |
About the units
- Degree per second
- Turning one degree each second, where a degree is π/180 rad, about 0.0174533 rad/s. It is used for gyroscope sensors and servo motors.
- Radian per second
- The SI unit of angular speed: turning through one radian each second. A full turn is 2π radians.
Limits and caveats
- Results are rounded for display and computed with the browser's floating point precision (about 15 significant digits).
- Both unit factors are exact by their official definitions.
Questions about this tool
How many radians per second are in one degree per second?
1 °/s = 0.0174533 rad/s exactly.
How do I convert degrees per second to radians per second?
Use rad/s = °/s × 0.01745329252. For example, 25 °/s = 0.436332 rad/s.
How many degrees per second are in one radian per second?
1 rad/s = 57.2958 °/s.
How do I convert rpm to radians per second?
Multiply the rpm by 2π and divide by 60. For example 3000 rpm is 100π, about 314.16 rad/s.
Is angular speed the same as frequency in hertz?
No. Frequency counts turns per second, while angular speed in rad/s is the frequency times 2π. So a rotation at 1 Hz is 6.2832 rad/s.