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  4. The acceleration of a particle in SHM at 5 cm from its mean position is 20 cm / sec 2. The value of angular velocity in radian/second will be :

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Q. The acceleration of a particle in SHM at $5\, cm$ from its mean position is $20 \,cm / sec ^{2}$. The value of angular velocity in radian/second will be :

Oscillations

Solution:

$|\vec{a}|=\omega^{2}|\vec{x}|$
$ \Rightarrow 20=\omega^{2}(5)$
So, $\omega=2 \,rad / s$