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Velocity Displacement Relationship

A particle of...

Question

A particle of mass $2$ kg, executing SHM has amplitude $20$ cm and time period $1$ s. Its maximum speed is

0.314

m/s

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0.628

m/s

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1.256

m/s

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2.512

m/s

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Solution

The correct option is C $1.256$ m/s
$v_{m a x} = A w$

$= 20 c m \times \frac{2 π}{T}$

$= 0.2 m \times \frac{2 π}{1 s}$

$= 1.256 m / s$

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