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:

ω=2πf

This is easily seen, as

f=1/T



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
Sakhalin

... were deported following the conquest of the southern portion of the island by the Soviet Union in 1945 at the end of World War II. Sovereignty over Sakhalin and th ...

 
 
 
This page was created in 36.2 ms