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The piston in the cylinder head of a loc...

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

Text Solution

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Angular frequency of the piston, `omega=200rad//min`
Storok=1.0 m,
Amplitude , `a=(1.0)/(2)=0.5m`
The maximum speed `v_(max)` of the piston is give by the relation `v_(max)=Aomega =200xx0.5=100m//mi n`
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