If the centripetal force on an object in uniform circular motion is increased, what is the effect on (a) the frequency of rotation f (with r constant) and (b) f and r when both are free to vary?

4 answers

If the centripetal force increases,then the frequency will increase. A greater centripetal force suggests an increase in velocity or a decrease in the radius. Centripetal force acting on an object in uniform circular motion does zero work, because the scalar product of force and displacement vector is zero.
Centripetal Force Quick Check

For an object in circular motion, in what direction does the centripetal force act?
1. toward the center of the circle

For an object spinning around a central point, what will happen if its distance from the center is decreased?
2. Its acceleration will increase.

In what way is an object moving in a circle always accelerating?
3. velocity toward the center is always increasing.

Why is it that if the centripetal force on an object increases, its acceleration increases?
4. Its velocity increases.
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