A body of mass 5 kg is moving in a circle of radius 1m with an angular velocity of 2 radian/sec. The centripetal force is
Correct answer: B. 20 N
- A. 10 N
- B. 20 N
- C. 30 N
- D. 40 N
Explanation
Option B is correct.Given data:m=5kg, r=1m, w= 2 radian/secFind out: Fc=?Solution:Fc=mrw2=5*1*(2)2=20NExplanation: The centripetal force is calculated using the formula Fc=mrw2. Option B provides the correct calculation based on the given data. Options A, C, and D do not correctly apply the formula or provide an accurate calculation for the centripetal force in this scenario.
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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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