# What exactly are frequencies

## Amplitude, period of oscillation, frequency

Sine curve of a harmonic oscillation

The graphic above shows the sine curve of an undamped harmonic oscillation. This graphic is intended to describe some variables that apply to every oscillation:

- The
**Deflection**$ y (t) $ in $ y $ direction (also becomes**Elongation**called) shows the**momentary**Distance of the body from the resting position. The deflection can be specified in the positive or negative $ y $ direction. - The
**amplitude**is the amount of the maximum deflection in the $ y $ direction. In the case of harmonic undamped oscillation, the amplitude is constant, i.e. the distance from the rest position is the same for both reversal points.

- The
**Oscillation period**$ T $, indicates how much time the vibrating body needs for a back and forth movement. The unit of the period of oscillation is seconds:

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Unit: 1s [second] period of oscillation $ T $

### frequency

Often the frequency $ f $ of an oscillation is specified instead of the oscillation period $ T $. The frequency is the reciprocal of the period of oscillation and indicates the number of oscillations that a body has in a certain time $ t = T $:

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$ f = \ frac {1} {T} $ frequency

The unit of frequency is Hertz (Hz), which was named after Heinrich Hertz.

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Unit: $ \ frac {1} {s} = Hz $

If, for example, a frequency of 1 Hz is given, exactly one oscillation process takes place in one second.

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