Question

A wave equation is given by y=7cos(12.56t-0.04x). Find frequency and wave velocity?

Answer 1

Compare the given equation with, `y=a cos (omegat - kx)`

So,we get, `k=0.04 =(2pi)/lambda`

so, wavelength = `lambda =(2pi)/0.04`

And, `omega = 2pi nu=12.56` (`nu` is the frequency)

So, `nu = 12.56/(2pi)=2 Hz`

So,wave velocity = `nu lambda= 12.56/(2pi)*(2pi)/0.04=314m/s`