Editing Angular frequency (section)

=== Oscillations of a spring ===
{{Classical mechanics|rotational}}
An object attached to a spring can [[Oscillation|oscillate]]. If the spring is assumed to be ideal and massless with no damping, then the motion is [[Harmonic oscillator|simple and harmonic]] with an angular frequency given by<ref name=PoP1>
{{cite book
  | last = Serway
  | first = Raymond A.
  | author2 = Jewett, John W.
  | title = Principles of physics
  | edition = 4th
  | publisher = Brooks / Cole – Thomson Learning
  | year = 2006
  | location = Belmont, CA
  | pages = 375, 376, 385, 397
  | url = https://books.google.com/books?id=1DZz341Pp50C&q=angular+frequency&pg=PA376
  | isbn =978-0-534-46479-0 }}</ref>
<math display="block"> \omega = \sqrt{\frac{k}{m}}, </math>
where
* ''k'' is the [[spring constant]],
* ''m'' is the mass of the object.

''ω'' is referred to as the natural angular frequency (sometimes be denoted as ''ω''<sub>0</sub>).

As the object oscillates, its acceleration can be calculated by
<math display="block" qid=Q11376>a = -\omega^2 x, </math>
where ''x'' is displacement from an equilibrium position.

Using standard frequency ''f'', this equation would be
<math display="block"> a = -(2 \pi f)^2 x. </math>