Hz to rad/s Converter

Frequency to Angular Velocity Conversion
Hz to rad/s Conversion Hz rad/s 1 Hz = 6.28319 rad/s

Hz to rad/s Converter

The Formula

The formula for converting Hertz (Hz) to radians per second (rad/s) is:

\[ω = 2π × f\]

Where:

  • ω: Angular velocity in radians per second (rad/s)
  • π: Pi (approximately 3.14159)
  • f: Frequency in Hertz (Hz)

Conversion Steps

  1. Start with the frequency in Hertz (Hz)
  2. Multiply the frequency by 2π (approximately 6.28319)
  3. The result is the angular velocity in radians per second (rad/s)

Example Conversion

Let's convert 1 Hz to rad/s:

\[ω = 2π × 1 Hz = 6.28319 rad/s\]