Enter the frequency in hertz (Hz) into the calculator to determine the angular frequency of a rotating object.

Angular Frequency Formula

The following formula is used to calculate the angular frequency.

ω = 2*π*f
  • Where ω is the angular frequency in rad/s
  • f is the normal frequency in hertz (Hz)
  • 2π is the number of radians in a circle

To calculate the angular frequency, multiply the standard frequency by 2 times pi.

Angular Frequency Definition

Angular frequency is defined as the rotational velocity in radians per second.

Angular Frequency Example

The following is a step-by-step example of how to calculate angular frequency.

  1. First, determine the frequency of the object or wave. Once determined, convert that value to standard units of frequency which are hertz. We will assume this value is 20hz.
  2. Next, plug the value for frequency into the formula.
  3. Finally, solve the equation for angular frequency. ω = 2*π*f = 2*3.14159*20 = 125.66 rad/s.


What is an angular frequency?

An angular frequency is the measure of rotational speed in radians per second that a rotating object is moving at.

What are hertz?

Hertz are a measure of standard frequency that represents one total rotation of a rotating object.