Radians per second to revolutions per second
Type a value in radians per second to see it in revolutions 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 revolutions 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
rps = rad/s × 0.1591549431
Multiply the value in radians per second by 0.1591549431 to get revolutions per second.
Example
To convert 25 rad/s to revolutions per second: 25 × 0.1591549431 = 3.97887 rps.
Conversion table
| Radians per second (rad/s) | Revolutions per second (rps) |
|---|---|
| 1 | 0.159155 |
| 2 | 0.31831 |
| 3 | 0.477465 |
| 5 | 0.795775 |
| 10 | 1.59155 |
| 20 | 3.1831 |
| 25 | 3.97887 |
| 50 | 7.95775 |
| 100 | 15.9155 |
| 250 | 39.7887 |
| 500 | 79.5775 |
| 1,000 | 159.155 |
About the units
- Radian per second
- The SI unit of angular speed: turning through one radian each second. A full turn is 2π radians.
- Revolution per second
- Full turns per second, so 1 rps is exactly 2π rad/s and 60 rpm.
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 revolutions per second are in one radian per second?
1 rad/s = 0.159155 rps exactly.
How do I convert radians per second to revolutions per second?
Use rps = rad/s × 0.1591549431. For example, 25 rad/s = 3.97887 rps.
How many radians per second are in one revolution per second?
1 rps = 6.28319 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.