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Work is equal to Force * displacement * cos(angle between force and displacement). When there is uniform circular motion, the displacement is in the same direction as the velocity: along the tangent of the circle. The centripetal force always points towards the center of the circle. These two directions (vectors) are perpendicular to each other (90 degrees). Cos(90) = 0, so the work is 0.

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Q: What is the work of centripetal forces in uniform circular motion?
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What happens when centripetal acceleration occurs?

The body which is subjected to centripetal acceleration undergoes uniform circular motion.


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Increase in radius affect the increase of the centripetal force on a particle in uniform circular motion. An increase in radius would cause a decrease in the force if velocity remains constant.


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The force required to keep a body to be in a uniform circular motion is known as centripetal force means centre seeking force. This centripetal force is directly proportional to the square of the speed of the particle.


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