Units
In SI units, angular frequency is normally presented in radians per second, even when it does not express a rotational value. From the perspective of dimensional analysis, the unit Hertz (Hz) is also correct, but in practice it is only used for ordinary frequency f, and almost never for ω. This convention helps avoid confusion.
In digital signal processing, the angular frequency may be normalized by the sampling rate, yielding the normalized frequency.
For example
where x is displacement from an equilibrium position.
Using 'ordinary' revolutions-per-second frequency, this equation would be
Read more about this topic: Angular Frequency
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