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{excerpt} The length of time it takes for a repeating motion to return to the same place{excerpt}. Such motion is commonly called, for obvious reasons, [periodic motion], and the period is represented by the symbol *T*. The term is wideky used in mechanics to refer to the time it takes a [simple harmonic oscillator|simple harmonic motion] to execute one full oscillation.For a freely oscillating system, the natural *period* is related to the [natural frequency] {*}ν{*} or {*}ω{*} by:
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{latex}\begin{large} \[ T = \frac{1}{\nu} = \frac{2 \pi}{\omega} \]\end{large}{latex}