For every particle of a rigid body in rotatio | vedclass

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(C) Since the body is a rigid body,all its particles have the same angular velocity $\omega$ during rotational motion.As shown in the figure,three par

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Linear velocity is different,but angular velocity is the same.

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(C) Since the body is a rigid body,all its particles have the same angular velocity $\omega$ during rotational motion.As shown in the figure,three particles $A$,$B$,and $C$ are at distances $r_1$,$r_2$,and $r_3$ from the axis of rotation (origin $O$) respectively,and they rotate with the same angular velocity $\omega$.The linear velocity $v$ of a particle is given by $v = r\omega$.For particle $A$,linear velocity $v_1 = r_1\omega$.For particle $B$,linear velocity $v_2 = r_2\omega$.For particle $C$,linear velocity $v_3 = r_3\omega$.Since $r_1$,$r_2$,and $r_3$ are different,the linear velocities $v_1$,$v_2$,and $v_3$ are also different.Therefore,particles of a rigid body at different distances from the axis of rotation move with the same angular velocity but different linear velocities.

For every particle of a rigid body in rotational motion,which of the following is true?

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