# Angular frequency

#### sharanbr

Joined Apr 13, 2009
81
Dear All,

I would like to get understand the concept of angular frequency. I do understand that it is rotation rate.
However, I am not able to appreciate how that is related to regular frequency in Hz, which is measured in cycles per second.

For example, if I take a a sine signal with N cycles per second. How does it show up in terms when seen with angular frequency?
How does a signal which almost never repeats (not a periodic signal in time domain) look like in angular terms?

Thanks,

#### cmartinez

Joined Jan 17, 2007
7,513
... a signal which almost never repeats ...
In the above quote, italics are mine. Are you familiar with Fourier transforms?

#### DickCappels

Joined Aug 21, 2008
7,953
Angular frequency is, as you stated, the rate of rotation. In the case of a continuous signal, you could say that the angular frequency is 2 x Pi x Hz radians per second, or 360 x Hz degrees per second. The angular frequency of the 50 Hz power line feeding my house is 18,000 degrees per second.

I will leave the more difficult question for somebody else.