How to Convert rpm (revolutions/minute) to rad/s (radians/second)
To convert rpm (revolutions/minute) to rad/s (radians/second), multiply the value in rpm (revolutions/minute) by 0.10472. One rpm (revolutions/minute) equals 0.10472 rad/s (radians/second), and one rad/s (radians/second) equals 9.549274 rpm (revolutions/minute).
Angular velocity describes how fast something rotates. It is used for motors, wheels, turbines, hard drives and other rotating machinery. Need a different unit? Open the Angular Velocity Converter to convert between all 6 Angular Velocity units.
rpm (revolutions/minute) to rad/s (radians/second) Formula
rpm (revolutions/minute) = rad/s (radians/second) × 9.549274
Example: 10 rpm (revolutions/minute) = 1.0472 rad/s (radians/second).
rpm (revolutions/minute) ↔ rad/s (radians/second) Conversion Tables
| rpm (revolutions/minute) | rad/s (radians/second) |
|---|---|
| 1 | 0.10472 |
| 2 | 0.20944 |
| 3 | 0.31416 |
| 5 | 0.5236 |
| 10 | 1.0472 |
| 20 | 2.0944 |
| 50 | 5.236 |
| 100 | 10.472 |
| 500 | 52.36 |
| 1,000 | 104.72 |
| rad/s (radians/second) | rpm (revolutions/minute) |
|---|---|
| 1 | 9.54927 |
| 2 | 19.0985 |
| 3 | 28.6478 |
| 5 | 47.7464 |
| 10 | 95.4927 |
| 20 | 190.985 |
| 50 | 477.464 |
| 100 | 954.927 |
| 500 | 4,774.64 |
| 1,000 | 9,549.27 |
About Angular Velocity Units
Angular velocity describes how fast something rotates. It is used for motors, wheels, turbines, hard drives and other rotating machinery. This converter supports 6 units: rad/s (radians/second), deg/s (degrees/second), rpm (revolutions/minute), rps (revolutions/second), deg/h (degrees/hour), rad/h (radians/hour).
Frequently Asked Questions
How many rad/s (radians/second) are in one rpm (revolutions/minute)?
One rpm (revolutions/minute) equals 0.10472 rad/s (radians/second).
How do I convert rpm (revolutions/minute) to rad/s (radians/second)?
To convert rpm (revolutions/minute) to rad/s (radians/second), multiply the value in rpm (revolutions/minute) by 0.10472. For example, 10 rpm (revolutions/minute) = 1.0472 rad/s (radians/second).
How do I convert rad/s (radians/second) to rpm (revolutions/minute)?
To convert rad/s (radians/second) to rpm (revolutions/minute), multiply the value in rad/s (radians/second) by 9.549274. For example, 10 rad/s (radians/second) = 95.4927 rpm (revolutions/minute).
Which Angular Velocity units can I convert on ToolShed?
The Angular Velocity Converter supports 6 units, including rad/s (radians/second), deg/s (degrees/second), rpm (revolutions/minute), rps (revolutions/second), deg/h (degrees/hour) and rad/h (radians/hour). Use the From and To menus in the converter above to pick any pair.