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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 1.0 m. If the piston moves with simple harmonic motion with an angular frequency of 200 `rad//min`, what is its maximum speed ?

Text Solution

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We are given :
amplitude, `" "t=1/2m" "(becauser=("stroke")/(2))`
angular frequency, `omega=200" rev/min"=(200)/(60)" rev/s"`
We are to calculate, `v_("max")`
Using relation : `v=romega`
`:.` Maximum speed, `v_("max")=1/2xx(200)/(60)=1.667" m/s"=1.667xx60=100" m/min"`.
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