Question

A wave is represented by the equation y = 0.20 sin [ 0.4π (x – 60t)], where x and y are in cm and t is in s. The velocity of the wave is...

Answer 1

v = 60 m/s

Step-by-step explanation:

It is given that,

A wave is represented by the equation :

`y=0.2\sin [0.4\pi (x-60)t]`

We need to find the velocity of the wave

The general equation of a wave is given by :

`y=A\sin (kx-\omega t)` ....(1)

Equation (1) can be written as :

`y=0.2\sin (0.4\pi x-24\pi t)` ...(2)

If we compare equation (1) and (2) we get :

`k=0.4\pi`

`\omega=24\pi`

The velocity of a wave is given by :

`v=(\omega)/(k)\\\\v=(24\pi)/(0.4\pi)\\\\v=60\ m/s`

So, the velocity of the wave is 60 m/s.