The expression for centripetal force is given by:
Correct answer: A. mrω2
- A. mrω2
- B. m2v2/r2
- C. m2v2/r
- D. mv2/r2
Explanation
The correct expression for centripetal force is given by Fc = mrω2, as shown in option A. This formula accounts for the mass of the object (m), the radius of the circular path (r), and the angular velocity (ω), which are essential components of centripetal force. Options B, C, and D are incorrect because they either use linear velocity instead of angular velocity or incorrectly manipulate the variables in the centripetal force equation.
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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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