If the equation for the displacement of a particle moving on a circular path is given by \( (\th...
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If the equation for the displacement of a particle moving on a circular path is given by \( (\theta)=2 t^{3}+0.5 \), where \( \theta \) is in radians and \( t \) in seconds, then the angular velocity of the particle after \( 2 \mathrm{sec} \) from its start is
[AIIMS 1998]
(a) \( 8 \mathrm{rad} / \mathrm{sec} \)
(b) \( 12 \mathrm{rad} / \mathrm{sec} \)
(c) \( 24 \mathrm{rad} / \mathrm{sec} \)
(d) \( 36 \mathrm{rad} / \mathrm{sec} \)
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