Angular Velocity Converter
Angular velocity measures how fast something rotates — the angle it sweeps through per unit of time. The SI unit is the radian per second. One revolution is 2π radians, so 1 revolution per minute is about 0.1047 rad/s.
1 Radian/Second = 9.549296586 Revolution/Minute
How to convert Radian/Second to Revolution/Minute
One Radian/Second equals 9.549296586 Revolution/Minute, so multiply any value in rad/s by 9.549296586 to get RPM. To convert back, divide by 9.549296586 — or multiply by 0.1047197551.
RPM = rad/s × 9.549296586
Example: 25 rad/s × 9.549296586 = 238.7324146 RPM.
Radian/Second to Revolution/Minute table
| Radian/Second (rad/s) | Revolution/Minute (RPM) |
|---|---|
| 1 | 9.549296586 |
| 2 | 19.09859317 |
| 3 | 28.64788976 |
| 4 | 38.19718634 |
| 5 | 47.74648293 |
| 10 | 95.49296586 |
| 15 | 143.2394488 |
| 20 | 190.9859317 |
| 25 | 238.7324146 |
| 50 | 477.4648293 |
| 75 | 716.1972439 |
| 100 | 954.9296586 |
| 250 | 2,387.324146 |
| 500 | 4,774.648293 |
| 1,000 | 9,549.296586 |
Revolution/Minute to Radian/Second table
| Revolution/Minute (RPM) | Radian/Second (rad/s) |
|---|---|
| 1 | 0.1047197551 |
| 2 | 0.2094395102 |
| 3 | 0.3141592654 |
| 4 | 0.4188790205 |
| 5 | 0.5235987756 |
| 10 | 1.047197551 |
| 15 | 1.570796327 |
| 20 | 2.094395102 |
| 25 | 2.617993878 |
| 50 | 5.235987756 |
| 75 | 7.853981634 |
| 100 | 10.47197551 |
| 250 | 26.17993878 |
| 500 | 52.35987756 |
| 1,000 | 104.7197551 |
Angular Velocity units at a glance
All 10 units this converter supports, each expressed in Radian/Second (rad/s) and the other way round.
| Unit | Symbol | 1 unit in rad/s | 1 rad/s in unit |
|---|---|---|---|
| Radian/Second | rad/s | 1 | 1 |
| Radian/Minute | rad/min | 0.01666666667 | 60 |
| Radian/Hour | rad/h | 0.0002777777778 | 3,600 |
| Degree/Second | deg/s | 0.01745329252 | 57.29577951 |
| Degree/Minute | deg/min | 0.0002908882087 | 3,437.746771 |
| Degree/Hour | deg/h | 0.000004848136811 | 206,264.8062 |
| Revolution/Second | rps | 6.283185307 | 0.1591549431 |
| Revolution/Minute | RPM | 0.1047197551 | 9.549296586 |
| Revolution/Hour | rph | 0.001745329252 | 572.9577951 |
| Cycle/Second (Hertz) | Hz | 6.283185307 | 0.1591549431 |
Where angular velocity conversions are used
Motors, turbines, wheels and gears, gyroscopes, and robotics.
Frequently asked questions
What is 1 Radian/Second in Revolution/Minute?
1 Radian/Second (rad/s) is 9.549296586 Revolution/Minute (RPM).
What is 1 Revolution/Minute in Radian/Second?
1 Revolution/Minute (RPM) is 0.1047197551 Radian/Second (rad/s).
How do I convert Radian/Second to Revolution/Minute?
Multiply the value in Radian/Second by 9.549296586. For example, 5 rad/s × 9.549296586 = 47.74648293 RPM. To go the other way, divide by 9.549296586.
How many units does the angular velocity converter support?
It converts between 10 units: Radian/Second, Radian/Minute, Radian/Hour, Degree/Second, Degree/Minute, Degree/Hour, Revolution/Second, Revolution/Minute, Revolution/Hour, Cycle/Second (Hertz).
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Figures on this page are calculated with the same conversion factors as the converter above and shown to up to 10 significant figures. See our disclaimer before relying on a result in a professional or safety-critical context.