Angular Velocity Converter
Convert between revolutions per minute (rpm), radians per second, degrees per second and other angular velocity units.
Convert angular velocity
Result
Angular Velocity units
Every unit below converts to every other one in the calculator. Values are relative to the base unit, the radian per second (rad/s).
| Unit | Symbol | System | Value |
|---|---|---|---|
| Radian per second | rad/s | SI | Base unit |
| Radian per minute | rad/min | SI-accepted | ≈ 0.01666666667 rad/s |
| Degree per second | °/s | SI-accepted | ≈ 0.01745329252 rad/s |
| Degree per minute | °/min | SI-accepted | ≈ 0.0002908882087 rad/s |
| Revolution per second | rev/s | other | ≈ 6.283185307 rad/s |
| Revolution per minute | rpm | other | ≈ 0.1047197551 rad/s |
| Revolution per hour | rev/h | other | ≈ 0.001745329252 rad/s |
Radian per second quick reference
| Radian per second | Degree per second | Revolution per second | Revolution per minute |
|---|---|---|---|
| 1 rad/s | ≈ 57.29577951 °/s | ≈ 0.1591549431 rev/s | ≈ 9.549296586 rpm |
| 10 rad/s | ≈ 572.9577951 °/s | ≈ 1.591549431 rev/s | ≈ 95.49296586 rpm |
| 100 rad/s | ≈ 5729.577951 °/s | ≈ 15.91549431 rev/s | ≈ 954.9296586 rpm |
| 1000 rad/s | ≈ 57295.77951 °/s | ≈ 159.1549431 rev/s | ≈ 9549.296586 rpm |
Among the 7 angular velocity units on this page, the smallest is the degree per minute (°/min) and the largest is the revolution per second (rev/s).
More angular velocity conversions
- Revolution per minute to Radian per secondrpm → rad/s
- Radian per second to Revolution per minuterad/s → rpm
- Revolution per minute to Degree per secondrpm → °/s
- Degree per second to Revolution per minute°/s → rpm
- Revolution per minute to Revolution per secondrpm → rev/s
- Revolution per second to Revolution per minuterev/s → rpm
About angular velocity units
Angular velocity is how fast something rotates: the angle turned per unit of time. Its SI unit is the radian per second (rad/s).
One revolution is exactly 2π radians or 360 degrees. That gives 1 rpm = π/30 rad/s (about 0.10472 rad/s) and exactly 6 degrees per second. Note that 1 revolution per second is a rotation frequency of 1 Hz but an angular velocity of 2π rad/s.
Frequently asked questions
- How do I convert rpm to rad/s?
- Multiply by π/30, about 0.10472. To go from rad/s to rpm, multiply by 30/π, about 9.5493.
- How many degrees per second is 1 rpm?
- Exactly 6 degrees per second: 360 degrees divided by 60 seconds.
- How many degrees per second are in one radian per second?
- One radian per second ≈ 57.29577951 °/s (degrees per second).
- How many revolutions per second are in one radian per second?
- One radian per second ≈ 0.1591549431 rev/s (revolutions per second).
- How many revolutions per minute are in one radian per second?
- One radian per second ≈ 9.549296586 rpm (revolutions per minute).