Angular Velocity Converter
Angular velocity is how fast something rotates. The SI unit is the radian per second, but machinery is almost always specified in revolutions per minute, and gyroscopes and camera gimbals report degrees per second. One RPM is about 0.105 rad/s.
15 units supported Base unit radian per second (rad/s)
Multiply the number of revolutions per minute by 0.10471975512 to get radians per second. How this is calculated
About angular velocity conversion
Angular Velocity conversion is commonly needed when motors, turbines, gyroscopes, and camera gimbals. Machinery is rated in RPM but physics formulas expect radians per second, so this conversion turns up in almost every rotational calculation.
Popular conversions
Convert Revolution per Minute to other angular velocity units
1 rpm expressed in every other angular velocity unit on this site.
- Radian per Second rad/s 0.10471976
- Radian per Minute rad/min 6.2831853
- Radian per Hour rad/h 376.99112
- Radian per Day rad/d 9,047.7868
- Degree per Second °/s 6
- Degree per Minute °/min 360
- Degree per Hour °/h 21,600
- Degree per Day °/d 518,400
- Revolution per Second rev/s 0.016666667
- Revolution per Minute rpm 1
- Revolution per Hour rev/h 60
- Revolution per Day rev/d 1,440
- Gradian per Second grad/s 6.6666667
- Arcminute per Second ′/s 360
- Arcsecond per Second ″/s 21,600
Complete list of angular velocity units
All 15 units this converter supports, each stated against the radian per second (rad/s).
| Unit | Symbol | System | In radians per second | Conversions |
|---|---|---|---|---|
| Radian per Second | rad/s | SI | base unit (rad/s) | rad/s to rpm |
| Radian per Minute | rad/min | SI | 1 rad/min = 0.0166666666667 rad/s | — |
| Radian per Hour | rad/h | SI | 1 rad/h = 0.000277777777778 rad/s | — |
| Radian per Day | rad/d | SI | 1 rad/d = 0.0000115740740741 rad/s | — |
| Degree per Second | °/s | Other | 1 °/s = 0.0174532925199 rad/s | deg/s to rpm |
| Degree per Minute | °/min | Other | 1 °/min = 0.000290888208666 rad/s | — |
| Degree per Hour | °/h | Other | 1 °/h = 0.0000048481368111 rad/s | — |
| Degree per Day | °/d | Other | 1 °/d = 2.02005700462e-7 rad/s | — |
| Revolution per Second | rev/s | Other | 1 rev/s = 6.28318530718 rad/s | — |
| Revolution per Minute | rpm | Other | 1 rpm = 0.10471975512 rad/s | rpm to rad/srpm to deg/s |
| Revolution per Hour | rev/h | Other | 1 rev/h = 0.00174532925199 rad/s | — |
| Revolution per Day | rev/d | Other | 1 rev/d = 0.0000727220521664 rad/s | — |
| Gradian per Second | grad/s | Other | 1 grad/s = 0.0157079632679 rad/s | — |
| Arcminute per Second | ′/s | Other | 1 ′/s = 0.000290888208666 rad/s | — |
| Arcsecond per Second | ″/s | Other | 1 ″/s = 0.0000048481368111 rad/s | — |
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Frequently asked questions
What is the base unit for angular velocity?
Angular Velocity conversions on this site are calculated against the radian per second (rad/s).
Which angular velocity units can I convert?
You can convert between 15 units, including radian per second, radian per minute, radian per hour, radian per day, and more.
Where is angular velocity conversion useful?
It is commonly needed when motors, turbines, gyroscopes, and camera gimbals.
Does this converter mix measurement systems?
The converter supports SI, Other units and keeps their exact definitions separate so results stay accurate.
Related categories
Conversion factors are based on internationally agreed unit definitions. See our methodology and sources for details on how these values are verified.