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work done by a centripetal force is zero.why?

Asked by 20th December 2011, 2:31 PM
Answered by Expert
Answer:
Work = Force x displacement x cos 
As the centripetal force acts upon an object moving in a circle at constant speed, the force always acts inward as the velocity of the object is directed tangent to the circle. This would mean that the force is always directed perpendicular to the direction that the object is being displaced. The angle  in the above equation is 90o and the cosine of 90o is 0. Thus, the work done by the centripetal force in the case of uniform circular motion is zero.
Answered by Expert 21st December 2011, 9:47 AM
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