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A sinusoidal wave travelling in the posi...

A sinusoidal wave travelling in the positive x direction has an amplitude of 15 cm, wavelength 40 cm and frequency 8 Hz. The vertical displacement of the medium at t =0 and x = 0 is also 15 cm, as shown

(b) Determine the phase constant `phi`, and write a general expression for the wave function.

Text Solution

Verified by Experts

It is given that A = 15 cm and also y = 15 cm at x = 0 and t = 0 then using `y=A sin (omegat-kx+phi)`
`15=15 sin phi rArr sin phi=1`
Therefore, the wave function is
`y=A sin (omegat-kx+(pi)/2)`
`=(15cm)sin [(16pis^(-))t((pirad)/(20cm))x+(pi)/2]`
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