Question:
The work done by the centripetal force F when the body completes one rotation around the circle of radius R is:
The work done by the centripetal force F when the body completes one rotation around the circle of radius R is:
Updated On: Aug 15, 2022
- $ 2\pi RF $
- $ ~2RF $
- RF
- zero
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The Correct Option is D
Solution and Explanation
Key Idea: Work done (W) = Force(F) x $ (W)=Force(F)\times displacement(d) $ displacement For a body rotating in circular motion, centripetal force is directed towards the centre of the circle when body completes one rotation, its displacement is zero, hence
Work done = force $ \times $ displacement
$ W=F\times 0=0 $
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Concepts Used:
Motion in a Plane
It is a vector quantity. A vector quantity is a quantity having both magnitude and direction. Speed is a scalar quantity and it is a quantity having a magnitude only. Motion in a plane is also known as motion in two dimensions.
Equations of Plane Motion
The equations of motion in a straight line are:
v=u+at
s=ut+½ at2
v2-u2=2as
Where,
- v = final velocity of the particle
- u = initial velocity of the particle
- s = displacement of the particle
- a = acceleration of the particle
- t = the time interval in which the particle is in consideration