# 9.3 Period and Frequency

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Period, $$T$$, is defined as the amount of time it takes to go around once - the time to cover an angle of $$2\pi$$ radians.

Frequency, $$f$$, is defined as the rate of rotation, or the number of rotations in some unit of time.

Angular frequency, $$\omega$$, is the rotation rate measured in radians.

These three quantities are related by $$f=\frac{1}{T}=\frac{\omega}{2\pi}$$.

The speed at which an object goes around a circle can be related to these quantities through $$v=R \omega=\frac{2\pi R}{T}$$.

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