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Question

Question: The piston in the cylinder head of a locomotive has a stroke (twice the amplitude) of 1.0 m. If the ...

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 harmonically with an angular frequency of 200 rev min–1, its maximum speed is

A

25 m min–1

B

50 m min–1

C

100 m min–1

D

200 m min–1

Answer

100 m min–1

Explanation

Solution

Here, A=12m,ω=200revmin1A = \frac{1}{2}m,\omega = 200rev\min^{- 1}{}

ν12min1max\therefore{\nu\frac{1}{2}\min^{- 1}}_{\max}