1. theoretically, how does the radial force exerted on an object vary with the radius of its circular path when it is revolving: (a) at constant frequency? (b) with constant speed?

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31-10-2022
Physics

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1. theoretically, how does the radial force exerted on an object vary with the radius of its circular path when it is revolving: (a) at constant frequency? (b) with constant speed?

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smecloudbird18 smecloudbird18 · Answer 1 · 2022-11-03T08:22:45-04:00

The radial force exerted on an object vary with the radius of its circular path when it is revolving .

When a Particle moves in a circle, a force known as centripetal force is applied to it that is directed along the circle's radius in the direction of the circle's center.

Therefore , the equation can be given as,

centripetal force = mass × centripetal acceleration

F = mv²/r

Where, F is the force, m is the mass, v is the velocity , r is the radius of the circular path of the moving object.

Thus , the exerted force is inversely proportional to the radius, that means as the force is increases the radius of circular path is decreases and act to the center of rotation.

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