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Mechanical Properties Of Fluids

Question

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The piston in the cylinder head of a locomotive has a stroke (twice the amplitude) of 1.0 m. If the piston moves with simple harmonic motion with an angular frequency of 200 rad/min, what is its maximum speed?

Solution

Angular frequency of the piston, ω = 200 rad/ min.
Stroke = 1.0 m
Amplitude, A =

fraction numerator 1.0 over denominator 2 end fraction

= 0.5 m
The maximum speed (v_max) of piston is given by the relation,
v_max = Aω
= 200 × 0.5
= 100m/min.

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