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

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## 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.

- 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.
- Next, plug the value for frequency into the formula.
- Finally, solve the equation for angular frequency.
*ω*= 2*π*f = 2*3.14159*20 = 125.66 rad/s.

## FAQ

**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.