Enter the total RPM (rotations per minute) into the calculator to determine the angular velocity.
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RPM to Angular Velocity Formula
The following equation is used to calculate the angular velocity from RPM.
ω = RPM * 2 * PI / 60
- Where ω is the angular velocity (rad/s)
- RPM is the rotations per minute
To calculate angular velocity from RPM, multiply the RPM by 2 times pi, then divide by 60.
Angular velocity measures the rate of rotation of an object, typically expressed in radians per second. RPM is a measure of rotations per minute, which is also an angular velocity, so to convert RPM to the typical units, multiply the RPM by two times pi, then divide by 60.
| RPM | Radians per second (rad/s) |
|---|---|
| 1 | 0.105 |
| 5 | 0.524 |
| 10 | 1.047 |
| 15 | 1.571 |
| 20 | 2.094 |
| 30 | 3.142 |
| 45 | 4.712 |
| 50 | 5.236 |
| 60 | 6.283 |
| 75 | 7.854 |
| 90 | 9.425 |
| 100 | 10.472 |
| 120 | 12.566 |
| 150 | 15.708 |
| 180 | 18.850 |
| 200 | 20.944 |
| 300 | 31.416 |
| 600 | 62.832 |
| 1000 | 104.720 |
| 3000 | 314.159 |
| * Rounded to 3 decimals. Exact: 1 RPM = 2π/60 = π/30 ≈ 0.104720 rad/s. | |
How to Calculate RPM to Angular Velocity?
Example Problem:
The following example outlines the steps and information needed to calculate Angular Velocity from RPM.
First, determine the rotations per minute. In this example, the rotations per minute are found to be 130.
Finally, calculate the angular velocity from RPM using the formula above:
ω = RPM * 2 * PI / 60
ω = 130 * 2 * 3.14159 / 60
ω = 13.613 rad/s
