Frequency (Hz vs. Rad/s)

The frequency of the waveform is given in cycles per second or Hertz (Hz).

Frequency is equivalent to the inverse of the period of the waveform,

$\displaystyle f = 1/T$ Hz $\displaystyle .$

The radian frequency $\omega$ , given in radians per second, is equivalent to the frequency in Hertz scaled by $2\pi$ ,

$\displaystyle \omega = 2\pi f$ (rad/sec) $\displaystyle .$

What is the frequency in Hz of the following sinusoid?

$\includegraphics[scale=.8]{eps/freqex}$

What is the frequency in rad/sec?

``Music 171: Sinusoids'' by Tamara Smyth, Department of Music, University of California, San Diego (UCSD).