Encyclopedia > Angular frequency

  Article Content

Angular frequency

Imagine an object, moving in a circle.

In a circle there are 2π radians. A radian is a measurement of angle, and is more convenient than the degree when doing calculations.

If the object completes one circle in T seconds, then the angular frequency, ω, is given by

ω = 2π/T

ω has units s-1.

Using angular frequency in the equations is often a convenient shorthand, as it hides π symbols.

As circular motion[?] viewed 'edge on' is analagous to simple harmonic motion, ω will often appear in the equations of SHM.

For example:

a = -ω2 x

Using 'ordinary' frequency, this equation would be a lot uglier:

a= - 4π2f2 x

ω is related to 'ordinary' frequency by the equation:


This is easily seen, as


All Wikipedia text is available under the terms of the GNU Free Documentation License

  Search Encyclopedia

Search over one million articles, find something about almost anything!
  Featured Article
Reformed churches

... of these churches. Table of contents 1 Continental Reformed churches 2 Reformed churches in Britain and Ireland 3 Reformed churches in the U.S. and Canada (and ...

This page was created in 46.7 ms