# Angular Frequency from Period

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omega =
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vCalc.Angular Frequency from Period
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19592dc5-87d2-11e4-a9fb-bc764e2038f2

The Angular Frequency calculator computes an angular frequency (ω) based on an input period of rotation, T.

INSTRUCTIONS:  Choose the preferred units and enter the following:

• T: This is the period of rotation.

Angular Frequency(ω): The calculator computes the Angular Frequency (ω) in radians per second.  However, this can be automatically converted to other angular frequency units (e.g. degrees per minute) via the pull-down menu.

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## The Math

The angular frequency is the number of increments of 2*pi radians (2*pi radians is one complete rotation) divided by the period of the rotation, outputting simply rotations per unit time.

Since frequency is the inverse of period, f = 1/T [1], and angular frequency is a multiple of frequency: omega = 2*pi*f, we can substitute for frequency, f and get the angular frequency as a function of period:

omega = (2*pi) /T