The maximum velocity and the maximum acceleration of a body moving in a simple harmonic oscillator are $2 m / s$ and $4 m / s^{2}$ . The angular velocity will be:

3 r a d / s

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0.5 r a d / s

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1 r a d / s

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2 r a d / s

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Solution

The correct option is D $2 r a d / s$
$V_{m a x} = W A,$
$a_{m a x} = W A$ $\to$ As we know
$w = \frac{a_{m a x}}{V_{m a x}} = \frac{4}{2}$
$w = 2 r a d / s e c$

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