Question

A wave is modeled with the function y(x,t) = (0.8m) cos((1rad/m)x − (0.62rad/s)t + π/3). Find the wave speed.

Answer 1

The wave equation is given by

$$y = A\cos((2\pi/\lambda)x − \omega t + \phi_0)\\ y= (0.8m) \cos((1rad/m)x − (0.62rad/s)t + π/3)$$

The wave speed

$$v=f\lambda=\omega\lambda/2\pi\\ =0.62*1=0.62\:\rm m/s$$