Question

A rigid body is rotating with angular velocity 'ω' 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 = rω' implies that ______.

Options

• ω does not depend on r

• `ω prop 1/"r"`

• ω ∝ r

• ω = 0

Answer 1

A rigid body is rotating with angular velocity 'ω' 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 = rω' implies that ω does not depend on r.

Explanation:

Using the given relation,

v = rω

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 w does not depend on r.