Radians per second to revolutions per minute
Type a value in radians per second to see it in revolutions per minute 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 minute as you type, and pick the precision you need.
- Swap the direction to convert back, or copy the result.
How it is calculated
rpm = rad/s × 9.549296586
Multiply the value in radians per second by 9.549296586 to get revolutions per minute.
Example
To convert 25 rad/s to revolutions per minute: 25 × 9.549296586 = 238.732 rpm.
Conversion table
| Radians per second (rad/s) | Revolutions per minute (rpm) |
|---|---|
| 1 | 9.5493 |
| 2 | 19.0986 |
| 3 | 28.6479 |
| 5 | 47.7465 |
| 10 | 95.493 |
| 20 | 190.986 |
| 25 | 238.732 |
| 50 | 477.465 |
| 100 | 954.93 |
| 250 | 2,387.32 |
| 500 | 4,774.65 |
| 1,000 | 9,549.3 |
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 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.
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 minute are in one radian per second?
1 rad/s = 9.5493 rpm exactly.
How do I convert radians per second to revolutions per minute?
Use rpm = rad/s × 9.549296586. For example, 25 rad/s = 238.732 rpm.
How many radians per second are in one revolution per minute?
1 rpm = 0.10472 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.