Definition:Simple Harmonic Motion/Frequency
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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.
Sources
- 1972: George F. Simmons: Differential Equations ... (previous) ... (next): $\S 3.20$: Vibrations in Mechanical Systems