A body is rotating in a circle of radius r, keeping the period of rotation constant, but the radius is doubled(2r)then the centripetal force becomes:
Correct answer: C. Double
- A. Half
- B. Same
- C. Double
- D. Four times
Explanation
The correct answer is option C: Double. When the radius of a rotating body is doubled, the centripetal force becomes double, as shown by the formula:Fc=mrw2Fc=m(2r)w2Fc=2mrw2This explains why option C is correct, while the other options are incorrect due to misinterpretation of the relationship between radius, mass, and angular velocity in the centripetal force formula.
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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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