# Formula Relationship between Angular Frequency and Frequency Frequency

## Angular frequency

Unit
Angular frequency (also called angular velocity) indicates the angle covered (in radians) per unit time.

## Frequency

Unit
Frequency indicates the number of revolutions per time unit. The frequency is the reciprocal of the period $$T$$. Consequently, the angular frequency can also be expressed using the period:$$\omega ~=~ \frac{2\pi}{T}$$

## Pi

Unit
Pi is a mathematical constant and has the value $$\pi ~=~ 3.1415926...$$. In this case, it is used to specify the angle in radians. Here $$2\pi$$ is a complete revolution (360 degrees in degree measure).