Radians Per Second To Revolutions Per Minute Converter
Reverse Conversion
How This Converter Works
This converter changes radians per second (rad/s) into revolutions per minute (RPM). Angular frequency measures phase angle in radians per second; one full cycle corresponds to 2π radians. Revolutions per minute counts complete rotations made each minute; one revolution is one cycle.
Formula or rule
RPM = (rad/s) * 60 / (2π)
Example
- Input
- 62.831853 rad/s
- Calculation
- Step 1: Start with 62.831853 rad/s. Step 2: Apply RPM = (rad/s) * 60 / (2π). Step 3: 62.831853 rad/s converts to approximately 600 RPM using π ≈ 3.141592653589793.
- Result
- ≈ 600 RPM
Notes
Convert radians to revolutions using 2π radians per revolution, then seconds to minutes. Zero converts to zero. Negative values are accepted algebraically and can represent signed frequency or rotation.