Radians per second to degrees per second
Type a value in radians per second to see it in degrees 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 radians per second box.
- Read the result in degrees 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
°/s = rad/s × 57.29577951
Multiply the value in radians per second by 57.29577951 to get degrees per second.
Example
To convert 25 rad/s to degrees per second: 25 × 57.29577951 = 1,432.39 °/s.
Conversion table
| Radians per second (rad/s) | Degrees per second (°/s) |
|---|---|
| 1 | 57.2958 |
| 2 | 114.592 |
| 3 | 171.887 |
| 5 | 286.479 |
| 10 | 572.958 |
| 20 | 1,145.92 |
| 25 | 1,432.39 |
| 50 | 2,864.79 |
| 100 | 5,729.58 |
| 250 | 14,323.9 |
| 500 | 28,647.9 |
| 1,000 | 57,295.8 |
About the units
- Radian per second
- The SI unit of angular speed: turning through one radian each second. A full turn is 2π radians.
- 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.
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 degrees per second are in one radian per second?
1 rad/s = 57.2958 °/s exactly.
How do I convert radians per second to degrees per second?
Use °/s = rad/s × 57.29577951. For example, 25 rad/s = 1,432.39 °/s.
How many radians per second are in one degree per second?
1 °/s = 0.0174533 rad/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.