A body is moving in a circle under centripetal force "Fc". If its linear velocity and radius both are made twice, the centripetal force will be:
Correct answer: B. 2Fc
- A. Fc
- B. 2Fc
- C. Fc/2
- D. 4Fc
Explanation
Option B is correct.We know that:Fc= mv2/rFc=m(2v)2/2r =4/2(mv2/r) =2Fc
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Rotational motion relates angular displacement, angular velocity and angular acceleration to linear displacement, tangential velocity and tangential acceleration through the radius. Questions use radians, v equals r omega and tangential acceleration, while distinguishing tangential velocity from centripetal acceleration and angular quantities from their linear counterparts.
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