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The Equation of Simple Harmonic Progressive Wave is Given By Y=0.05sinπ [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. - Physics

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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.

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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` 

Concept: Simple Harmonic Progressive Waves,
  Is there an error in this question or solution?

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