Question

The equation y=5sin(3x-4t) where y is in millimeters, x is in meters and t is in seconds represents a wave motion.Determine the frequency

Answer 1

The general form of wave equation

$$y(x,t)=A\sin(kx-\omega t).$$

We have

$$y(x,t)=5\sin(3x-4 t).$$

Hence, the angular frequency

$$\omega=4\:\rm s^{-1}.$$

The frequency

$$f=\omega/2\pi=4/2\pi=0.64\:\rm Hz.$$