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Question
The equation of simple harmonic progressive wave is given by `y=0.05sinpi[20t-x/6]` where all quantities are in S. I. units. Calculate the displacement of a particle at 5 m from origin and at the instant 0.1 second.
Solution
`y=0.05sinpi[20t-x/6]`
`=0.05sinpi[20xx0.1-5/6]`
`=0.005sinpi[2-5/6]`
`=0.05sin(2pi-(5pi)/6)`
`=0.05sin((7pi)/6)`
`=0.005sin(pi+pi/6)`
`=0.05sin(pi+pi/6)`
`=-0.05xx1/2=-0.025m`
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