Angular Velocity Converter
Convert between 8 angular velocity units instantly. Enter a value, pick your units and get the result with the formula, a full conversion table and worked examples.
1,500 rpm in all angular velocity units
Updates live as you type. Click a row to set it as the target unit.
| Unit | Symbol | Value |
|---|---|---|
| Radian per hour | rad/h | 565,487 |
| Radian per minute | rad/min | 9,424.78 |
| Radian per second | rad/s | 157.08 |
| Degree per minute | °/min | 540,000 |
| Degree per second | °/s | 9,000 |
| Revolution per hour | rev/h | 90,000 |
| Revolution per minute | rpm | 1,500 |
| Revolution per second | rps | 25 |
How to Convert Angular Velocity Units
Angular velocity is the rate of rotation. The SI unit is radian per second (rad/s); motor and pump shaft speeds are usually given in revolutions per minute (rpm), where 1 rpm equals 2π/60 rad/s.
Every unit on this page is stored as a fixed factor relative to one reference unit, the radian per second (rad/s). Converting is a two step multiply and divide:
- Multiply your value by the factor of the source unit to get the value in rad/s.
- Divide that result by the factor of the target unit.
Revolution per minute to Radian per second conversion table
| Revolution per minute (rpm) | Radian per second (rad/s) |
|---|---|
| 1 rpm | 0.10472 rad/s |
| 2 rpm | 0.20944 rad/s |
| 3 rpm | 0.314159 rad/s |
| 4 rpm | 0.418879 rad/s |
| 5 rpm | 0.523599 rad/s |
| 6 rpm | 0.628319 rad/s |
| 7 rpm | 0.733038 rad/s |
| 8 rpm | 0.837758 rad/s |
| 9 rpm | 0.942478 rad/s |
| 10 rpm | 1.0472 rad/s |
| 15 rpm | 1.5708 rad/s |
| 20 rpm | 2.0944 rad/s |
| 25 rpm | 2.61799 rad/s |
| 30 rpm | 3.14159 rad/s |
| 40 rpm | 4.18879 rad/s |
| 50 rpm | 5.23599 rad/s |
| 75 rpm | 7.85398 rad/s |
| 100 rpm | 10.472 rad/s |
| 250 rpm | 26.1799 rad/s |
| 500 rpm | 52.3599 rad/s |
| 1,000 rpm | 104.72 rad/s |
Angular Velocity Units and Conversion Factors
Value of one unit expressed in rad/s.
| Unit | Symbol | In rad/s |
|---|---|---|
| Radian per hour | rad/h | 0.0002777777778 |
| Radian per minute | rad/min | 0.01666666667 |
| Radian per second | rad/s | 1 |
| Degree per minute | °/min | 0.0002908882087 |
| Degree per second | °/s | 0.01745329252 |
| Revolution per hour | rev/h | 0.001745329252 |
| Revolution per minute | rpm | 0.1047197551 |
| Revolution per second | rps | 6.283185307 |
Frequently Asked Questions
What is the SI unit of angular velocity?
The SI unit of angular velocity is the radian per second (rad/s). Angular velocity is the rate of rotation.
How do I convert rpm to rad/s?
To convert revolution per minute (rpm) to radian per second (rad/s), multiply the value in rpm by 0.10472. For example, 1 rpm = 0.10472 rad/s.
How do I convert rad/s to rpm?
To convert radian per second (rad/s) to revolution per minute (rpm), multiply the value in rad/s by 9.5493. For example, 1 rad/s = 9.5493 rpm.
How do I convert rps to rpm?
To convert revolution per second (rps) to revolution per minute (rpm), multiply the value in rps by 60. For example, 1 rps = 60 rpm.
Can I see a value in every angular velocity unit at once?
Yes. Enter a value and choose the source unit; the "all units" table below the converter instantly lists the equivalent in all 8 supported units. Click any row to make it the target unit.
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