The piston in the cylinder head of a locomotive has a stroke of 6 m. If the piston executing simple harmonic motion with an angular frequency of 200 rad min-1, its maximum speed is
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a
5 ms-1
b
10 ms-1
c
15 ms-1
d
20 ms-1
answer is B.
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Detailed Solution
Here, ω=200rad min−1Stroke means twice the amplitude.∴ A=3mMaximum speed,vmax=Aω=3×200=600m min−1=60060ms−1=10ms−1