Which of the following is the correct vector form of centripetal force?
Correct answer: B. -mω2r
- A. mω
- B. -mω2r
- C. -mω2/r r
- D. mω²/r
Explanation
Option B is correct.The vector form of centripetal force is:Fc = -mω²r where:Fc is the centripetal force (N).m is the mass of the particle (kg).ω is the angular velocity (radians/s).r is the radius of the circular path (m).The minus sign in the equation indicates that the centripetal force is always directed towards the centre of the circular path.
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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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