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Figure shows a snaps hot of a sinusoidal travelling wave taken at t = 0.3s. 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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Answer» Solution :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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