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Figure shows a snapshot of a sinusoidal...

Figure shows a snapshot of a sinusoidal travelling wave taken at `t= 0.3 s`.The wavelength is `7.5 cm` and the amplitude is `2 cm`. If the crest `P` was at `x= 0`at `t = 0`, write the equation of travelling wave. ,

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The wave has travelled a distance of 1.2 cm in 0.3s Hence speed of the wave, `v=(1.2)/(0.3)=4 cm//s`
`:.` Angular frequency `omega=(v)(k)=3.36` rad /s
Since the wave is travelling along positive x-direction and crest (maximum displacement) is at
x=0 at t=0 we can write the wave equation as, `y=A sin (kx-omegat)+(pi)/(2) (or) y(x,t)=a cos(kx-omegat)`
Therefore, the desired equation is,
`y(x,t)=(2)cos[(0.84)x-(3.36)t]cm`
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