frequency

[logistic_guy]

Find the frequencies \(\displaystyle f\) and \(\displaystyle \omega\) of a sine-wave signal with a period of \(\displaystyle 1 \ \text{ms}\).

 

[logistic_guy]

\(\displaystyle T = 1 \times 10^{-3} \ \text{s}\)

\(\displaystyle f = \frac{1}{T} = \frac{1}{1 \times 10^{-3}} = 1000 \ \text{Hz}\)

 

[logistic_guy]

\(\displaystyle \omega = 2\pi f = 2\pi 1000 = 2000\pi \ \text{rad/s}\)