Question

The work done by the centripetal force F when a body completes one revolution around a circle of radius R is

Answer 1

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Answer:

The force is always directed perpendicular to the direction that the object is being displaced. The angle Theta in the above equation is 90 degrees and the cosine of 90 degrees is 0. Thus, the work done by the centripetal force in the case of uniform circular motion is 0 Joules.

Answer 2

Explanation:

Work done by an object is given by :

$W=Fd\cos\theta$

Here,

F is force

d is displacement

$\theta$ is the angle between force and displacement

In uniform circular motion, the force is directed perpendicular to the displacement of the object. We know that the value of cos(90) is 0. So, the work done by the centripetal force F when a body completes one revolution around a circle of radius R is equal to 0.

Learn more,

Circular motion

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