Convert rpm to rad/s
1 revolution per minute equals 0.10471976 radians per second. Enter a value below to convert instantly.
Multiply the number of revolutions per minute by 0.10471975512 to get radians per second. How this is calculated
Need the other direction? Convert radian per second to revolution per minute →
Formula
Multiply the number of revolutions per minute by 0.10471975512 to get radians per second.
Step by step
- Start with 1 rpm.
- Multiply by the conversion factor 0.10471975512.
- 1 × 0.10471975512 = 0.10471976 rad/s.
Revolutions per Minute to Radians per Second conversion table
| Revolutions per Minute (rpm) | Radians per Second (rad/s) |
|---|---|
| 1 | 0.10471976 |
| 10 | 1.0471976 |
| 60 | 6.2831853 |
| 100 | 10.471976 |
| 500 | 52.359878 |
| 1,000 | 104.71976 |
| 3,000 | 314.15927 |
Convert Revolution per Minute to other angular velocity units
1 rpm expressed in every other angular velocity unit on this site.
- Radian per Second rad/s 0.10471976
- Radian per Minute rad/min 6.2831853
- Radian per Hour rad/h 376.99112
- Radian per Day rad/d 9,047.7868
- Degree per Second °/s 6
- Degree per Minute °/min 360
- Degree per Hour °/h 21,600
- Degree per Day °/d 518,400
- Revolution per Second rev/s 0.016666667
- Revolution per Minute rpm 1
- Revolution per Hour rev/h 60
- Revolution per Day rev/d 1,440
- Gradian per Second grad/s 6.6666667
- Arcminute per Second ′/s 360
- Arcsecond per Second ″/s 21,600
About the revolution per minute
The revolution per minute (rpm) is a Other unit of angular velocity. The standard rating for motors, engines, and rotating tools.
About the radian per second
The radian per second (rad/s) is a SI unit of angular velocity.
Where this conversion is used
Converting revolutions per minute to radians per second comes up when motors, turbines, gyroscopes, and camera gimbals. Machinery is rated in RPM but physics formulas expect radians per second, so this conversion turns up in almost every rotational calculation.
Related conversions
Frequently asked questions
How many radians per second are in a revolution per minute?
One revolution per minute equals 0.10471976 radians per second.
How do you convert revolutions per minute to radians per second?
Multiply the number of revolutions per minute by 0.10471975512 to get radians per second.
What is 1 radian per second in revolutions per minute?
One radian per second equals 9.5492966 revolutions per minute.
When would I convert revolutions per minute to radians per second?
This conversion is common when motors, turbines, gyroscopes, and camera gimbals.
Conversion factors are based on internationally agreed unit definitions. See our methodology and sources for details on how these values are verified.