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The angular acceleration of a particle moving along a circle is given by \( \alpha=k \sin \theta \), where \( \theta \) is the angle turned by particle and \( k \) is constant. The centripetal acceleration of the particle in terms of \( k, \theta \) and \( R \) (radius of circle) is given by :
(1) \( 2 k R\left(\sin ^{2} \theta\right) \)
(2) \( 2 k R(\sin \theta) \)
(3) \( 2 k R(1+\cos \theta) \)
(4) \( 2 k R(1-\cos \theta) \)
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