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A rigid body is rotating with angular velocity ‘ω’ about an axis of rotation. Let ‘v’ be the linear velocity of a particle which is at perpendicular distance ‘r’ from the axis of rotation. Then the rotation ‘v’ = rω Implies that
  • a)
    ω does not depend on r
  • b)
  • c)
    ω ∝ r
  • d)
    ω = 0
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A rigid body is rotating with angular velocity ‘ω’ about an axis of r...
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 ω does not depend on r.
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A rigid body is rotating with angular velocity ‘ω’ about an axis of rotation. Let ‘v’ be the linear velocity of a particle which is at perpendicular distance ‘r’ from the axis of rotation. Then the rotation ‘v’ = rω Implies thata)ω does not depend on rb)c)ω ∝ rd)ω = 0Correct answer is option 'A'. Can you explain this answer?
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