Hertz To Radians Per Second Converter
Reverse Conversion
How This Converter Works
This converter changes hertz (Hz) into radians per second (rad/s). One hertz is one cycle per second and is the SI unit of frequency. Angular frequency measures phase angle in radians per second; one full cycle corresponds to 2π radians.
Formula or rule
rad/s = Hz * 2π
Example
- Input
- 10 Hz
- Calculation
- Step 1: Start with 10 Hz. Step 2: Apply rad/s = Hz * 2π. Step 3: 10 Hz converts to 62.831853 rad/s. Use π ≈ 3.141592653589793 for the example.
- Result
- 62.831853 rad/s
Notes
Angular frequency is the cycle frequency multiplied by 2π radians per cycle. Zero converts to zero. Negative values are accepted algebraically and can represent signed frequency or rotation.