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’ = r ω implies that

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’ = r ω implies that, ω does not depend on r, ω ∝ 1 r, ω ∝ r, ω = 0

MARKS App · Accepted Answer

Using the given relation, v = r ω 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 ω does not depend on r.

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