rpm to rad/s Converter
Convert rpm to rad/s: 1 rpm = 0.1047197551 rad/s. Formula, worked example, table of common values and unit definitions.
Result157.0796327 rad/s
1 rpm = 0.1047197551 rad/s
1,500 rpm =
157.0796327 rad/s
Formula
rad/s = rpm × 0.1047197551 rpm = rad/s × 9.549296586
Worked example
- 1,500 rpm × 0.1047197551 = 157.0796327 rad/s
Common values
| rpm | rad/s |
|---|---|
| 60 | 6.283185307 |
| 100 | 10.47197551 |
| 750 | 78.53981634 |
| 1,000 | 104.7197551 |
| 1,450 | 151.8436449 |
| 1,500 | 157.0796327 |
| 3,000 | 314.1592654 |
| 3,600 | 376.9911184 |
Unit definitions
| Unit | Equals | What it is |
|---|---|---|
| rpm | 1 rpm | Revolutions per minute. Motor nameplate speed. |
| rad/s | 9.549296586 rpm | Radians per second, the SI unit of angular velocity. |
Frequently asked questions
How many rad/s are in one rpm?
1 rpm = 0.1047197551 rad/s.
What is the formula to convert rpm to rad/s?
rad/s = rpm × 0.1047197551. To go back, rpm = rad/s × 9.549296586.
What is the formula to convert rpm to rad/s?
rad/s = rpm × 2π ÷ 60, which is about 0.10472 rad/s per rpm.
Why use rad/s instead of rpm?
Mechanical power formulas such as P = T × ω need ω in rad/s when torque is in N·m and power in watts. Nameplates quote rpm, so convert first.
How do I find motor power from torque and rpm?
Power in watts is torque in N·m times angular speed in rad/s. Convert rpm to rad/s first, then multiply.
Related
Opposite direction: rad/s to rpm
Rotational Speed ConverterConversion Centre