Revolutions per minute to radians per second
Type a value in revolutions per minute 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 revolutions per minute 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 = rpm × 0.1047197551
Multiply the value in revolutions per minute by 0.1047197551 to get radians per second.
Example
To convert 25 rpm to radians per second: 25 × 0.1047197551 = 2.61799 rad/s.
Conversion table
| Revolutions per minute (rpm) | Radians per second (rad/s) |
|---|---|
| 1 | 0.10472 |
| 2 | 0.20944 |
| 3 | 0.314159 |
| 5 | 0.523599 |
| 10 | 1.0472 |
| 20 | 2.0944 |
| 25 | 2.61799 |
| 50 | 5.23599 |
| 100 | 10.472 |
| 250 | 26.1799 |
| 500 | 52.3599 |
| 1,000 | 104.72 |
About the units
- Revolution per minute
- Full turns per minute, with each turn 2π radians, so 1 rpm is exactly 2π/60 rad/s (about 0.10472). It is the unit on engine tachometers, drills and washing machines.
- 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 revolution per minute?
1 rpm = 0.10472 rad/s exactly.
How do I convert revolutions per minute to radians per second?
Use rad/s = rpm × 0.1047197551. For example, 25 rpm = 2.61799 rad/s.
How many revolutions per minute are in one radian per second?
1 rad/s = 9.5493 rpm.
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.