కోణీయ పౌనః పున్యము: కూర్పుల మధ్య తేడాలు

:<math>\omega = {{2 \pi} \over T} = {2 \pi f} , </math>

where:

 

In [[SI]] [[Units of measurement|units]], angular frequency is normally presented in [[radian]]s per [[second]], even when it does not express a rotational value. From the perspective of [[dimensional analysis]], the unit [[hertz]] (Hz) is also correct, but in practice it is only used for ordinary frequency ''f'', and almost never for ''ω''. This convention helps avoid confusion.<ref>{{cite book| url=https://books.google.com/books?id=eJhkD0LKtJEC&pg=PA145| title= Physics for scientists and engineers| first=Lawrence S.|last= Lerner|page=145| isbn=978-0-86720-479-7| date=1996-01-01}}</ref>

 

In [[digital signal processing]], the angular frequency may be normalized by the [[sampling rate]], yielding the [[normalized frequency (digital signal processing)|normalized frequency]].

 

[[File:Rotating Sphere.gif|right|thumb|A sphere rotating around an axis. Points farther from the axis move faster, satisfying {{nowrap|''ω''{{=}}''v''/''r''}}.]]

 

{{main|Circular motion}}

In a rotating or orbiting object, there is a relation between distance from the axis, [[tangential speed]], and the angular frequency of the rotation:

:<math>\omega = v/r</math>

 

{{Classical mechanics|cTopic=Fundamental concepts}}

An object attached to a spring will [[Oscillation|oscillate]]. Assuming that the spring is ideal and massless with no damping then the motion will be [[Harmonic oscillator|simple and harmonic]] with an angular frequency given by:<ref name=PoP1>{{cite book

:<math> a = - 4 \pi^2 f^2 x\; . </math>

 

 

The resonant angular frequency in an [[LC circuit]] equals the square root of the inverse of the product of the [[capacitance]] (''C'' measured in [[farad]]s) and the [[inductance]] of the circuit (''L'' in [[Henry (unit)|henrys]]).<ref name=LC1>{{cite book

:<math>\omega = \sqrt{1 \over LC}</math>

 

 

{{reflist}}

'''Related Reading:'''

| isbn = 978-0-521-71592-8}}