Definition:Simple Harmonic Motion/Frequency

Definition
Consider a physical system $S$ in a state of simple harmonic motion:
 * $x = A \map \sin {\omega t + \phi}$

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.