Question 610: Centre of Mass and Rotational Motion

Question

A rigid body is rotating with angular velocity ' $\omega$ ' about an axis of rotation. Let $v$ ' be the linear velocity of particle which is at perpendicular distance ' $r$ ' from the axis of rotation. Then the relation $v=r \omega$ ' implies that

Accepted Answer

Using the given relation,
$$v=r \omega$$
If the perpendicular distance $r$ from the axis of rotation is increased or decreased, then the value of linear velocity $v$ accordingly increases or decreases. Thus, the value of angular velocity $\omega$ does not depend on $r$.

Answer

$\omega$ does not depend on $r$

Answer

$\omega \propto \frac{1}{r}$

Answer

$\omega \propto r$

Answer

$\omega=0$

Centre of Mass and Rotational Motion

A rigid body is rotating with angular velocity ' \omega ' about an axis of rotation. Let v ' be the linear velocity of particle which is at perpendicular distance ' r ' from the axis of rotation. Then the relation v=r \omega ' implies that

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