Angular Velocity to Hertz Converter Formula

Understand the math behind the angular velocity to hertz converter. Each variable explained with a worked example.

Formulas Used

Hertz

result = value / (2 * pi)

Variables

VariableDescriptionDefault
valueRadians per Second(rad/s)6.2832

How It Works

Angular Velocity to Frequency

Formula

f = omega / (2 * pi)

Where omega is angular velocity in radians per second and f is frequency in hertz.

1 full revolution = 2*pi radians = 1 cycle, so dividing by 2*pi converts from radians per second to cycles per second (hertz).

Worked Example

Convert 6.2832 rad/s to Hz.

value = 6.2832
  1. 01f = 6.2832 / (2 x 3.14159)
  2. 02f = 6.2832 / 6.2832 = 1.0000 Hz