If the body of mass m is rotating in a circle of radius r with frquency of rotation "f" then centripetal force acting on it is
Correct answer: C. 4π2mrf2
- A. 2πmrf
- B. 4π2mrf
- C. 4π2mrf2
- D. π2mrf-2
Explanation
The centripetal force can be calculated using Fc = mrw2, which simplifies to Fc = 4π2mrf2 in this case. This is why Option C is the correct answer. Options A, B, and D do not apply the formula correctly and therefore are incorrect.
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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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