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Mechanical Properties Of Fluids

Question

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Write the expression for the velocity of particle of the media located at x in a simple harmonic wave at any instant t.

Solution

The velocity of particle of the media located at x in a simple harmonic wve at any instant t is given by,
$straight v subscript straight p equals straight r fraction numerator 2 straight pi over denominator straight lambda end fraction straight v space cos open square brackets fraction numerator 2 straight pi over denominator straight lambda end fraction left parenthesis vt minus straight x right parenthesis close square brackets$

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