Doubling which of the following quantities will increase the centripetal force eight times? (i) mass (ii) radius (iii) velocity
Correct answer: C. (i) and (iii) only
- A. (i) and (ii) only
- B. (ii) and (iii) only
- C. (i) and (iii) only
- D. (i), (ii) and (iii)
Explanation
Option C is correct.We know that:Fc=mv2/r =2m(2v)2/r = 8(mv2/r) =8FcIf we increase or decrease the radius r then Fc cannot be 8 times.
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About Angular and Linear Quantities
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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