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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 ?

A

`5ms^(-1)`

B

`10ms^(-1)`

C

`15ms^-1`

D

`20ms^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
B
Here, `omega=200"rad min"^(-1)`
Stroke means twice the amplitude.
`thereforeA=3m`,
Maximum speed,
`v_(max)=Aomega=3xx200=600" m rad min"^(-1)=(600)/(60)ms^(-1)`
`=10ms^(-1)`
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