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]

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