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
7,523
... a signal which almost never repeats ...
In the above quote, italics are mine. Are you familiar with Fourier transforms?

DickCappels

Joined Aug 21, 2008
7,973
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.