A car of mass 2000 kg moving in a circular path of radius 10 m at a constant speed of 30m/sec. Find the centripetal force required for this purpose.
Correct answer: C. 180kN
- A. 1800N
- B. 18N
- C. 180kN
- D. 18kN
Explanation
Given, m = 2000 kg v = 30m/s r = 10 m Formula, Centripetal force = (mv)2 / r Substituting the given data in the above equation we get, F= (2000)(30)2 / 10 F = (2000) (900) / 10 F = 1800,000 / 10 F = 180,000 N F = 180kN Mathematically other options are incorrect
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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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