Revolutions Per Minute To Radians Per Second Converter
Reverse Conversion
How This Converter Works
This converter changes revolutions per minute (RPM) into radians per second (rad/s). Revolutions per minute counts complete rotations made each minute; one revolution is one cycle. Angular frequency measures phase angle in radians per second; one full cycle corresponds to 2π radians.
Formula or rule
rad/s = RPM * 2π / 60
Example
- Input
- 3,000 RPM
- Calculation
- Step 1: Start with 3,000 RPM. Step 2: Apply rad/s = RPM * 2π / 60. Step 3: 3,000 RPM converts to 314.15927 rad/s. Use π ≈ 3.141592653589793 for the example.
- Result
- 314.15927 rad/s
Notes
Each revolution is 2π radians and each minute is 60 seconds. Zero converts to zero. Negative values are accepted algebraically and can represent signed frequency or rotation.