Definition:Simple Harmonic Motion/Frequency

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Definition

Consider a physical system $S$ in a state of simple harmonic motion:

$x = A \sin \left({\omega t + \phi}\right)$


The frequency $\nu$ of the motion of $S$ is the number of complete cycles per unit time:

$\nu = \dfrac 1 T = \dfrac \omega {2 \pi}$


Also denoted as

Some sources use $f$ to denote a frequency, but as $f$ is also often used to denote a general function, this could cause confusion and is not recommended.


Sources