How to convert radians per second to revolutions per minute
rpm = rad/s × 9.549296586
Example: 5 rad/s × 9.549296586 = 47.74648293 rpm
Radians per Second to Revolutions per Minute table
| Radians per Second (rad/s) | Revolutions per Minute (rpm) |
|---|---|
| 0.5 rad/s | 4.7746483 rpm |
| 1 rad/s | 9.5492966 rpm |
| 2 rad/s | 19.098593 rpm |
| 3 rad/s | 28.64789 rpm |
| 4 rad/s | 38.197186 rpm |
| 5 rad/s | 47.746483 rpm |
| 6 rad/s | 57.29578 rpm |
| 7 rad/s | 66.845076 rpm |
| 8 rad/s | 76.394373 rpm |
| 9 rad/s | 85.943669 rpm |
| 10 rad/s | 95.492966 rpm |
| 15 rad/s | 143.23945 rpm |
| 20 rad/s | 190.98593 rpm |
| 25 rad/s | 238.73241 rpm |
| 30 rad/s | 286.4789 rpm |
| 40 rad/s | 381.97186 rpm |
| 50 rad/s | 477.46483 rpm |
| 75 rad/s | 716.19724 rpm |
| 100 rad/s | 954.92966 rpm |
| 250 rad/s | 2,387.3241 rpm |
| 500 rad/s | 4,774.6483 rpm |
| 1,000 rad/s | 9,549.2966 rpm |
About these units
Radians per Second (rad/s): Radians per second measures angular velocity. One full revolution per second is 2π rad/s.
Revolutions per Minute (rpm): Revolutions per minute (rpm) measures rotational speed of engines, fans, drives and turntables.
Frequently asked questions
How many revolutions per minute are in 1 radian per second?
1 radian per second (rad/s) equals 9.549296586 revolutions per minute (rpm).
How do I convert rad/s to rpm?
Multiply the value in radians per second by 9.549296586. For example, 5 rad/s × 9.549296586 = 47.74648293 rpm.
How do I convert revolutions per minute back to radians per second?
Multiply by 0.1047197551 (or divide by 9.549296586). 1 rpm = 0.1047197551 rad/s.
What does rad/s mean?
Radians per second measures angular velocity. One full revolution per second is 2π rad/s.
Conversion factors come from exact international definitions (NIST SP 811, BIPM) where they exist. Results show up to 10 significant digits. Need every frequency unit at once? Use the Frequency Converter.