# Angular frequency

Discussion in 'General Electronics Chat' started by sharanbr, Jul 18, 2015.

1. ### sharanbr Thread Starter Active Member

Apr 13, 2009
76
1
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,

2. ### cmartinez AAC Fanatic!

Jan 17, 2007
3,698
2,772
In the above quote, italics are mine. Are you familiar with Fourier transforms?

3. ### DickCappels Moderator

Aug 21, 2008
2,764
667
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.