# Formula Undamped Harmonic Oscillator Position    Amplitude    Time    Angular frequency    Phase

## Position

Unit
Position of the harmonic oscillator at the time $$t$$. It can be, for example, the position of the oscillating mass hanging on a spring.

## Amplitude

Unit
Maximum displacement of a harmonic oscillator. In the case of a spring pendulum, it is the maximum distance of the mass from the rest position of the spring (undeflected mass).

## Time

Unit
Time at which the deflection is $$y(t)$$.

## Angular frequency

Unit
Angular frequency $$\omega = 2\pi\,f$$ describes how fast the harmonic oscillator oscillates.

## Phase

Unit
Phase is an angular quantity that determines which deflection $$y(0)$$ the harmonic oscillator had at the time $$t=0$$:$$y(0) ~=~ A\,\cos(\varphi)$$