Ball tied to string- centripetal force

AI Thread Summary
The discussion revolves around calculating various aspects of a ball in uniform circular motion, including speed, centripetal acceleration, and forces acting on the ball at different points in its path. The formula for centripetal force is confirmed to be m*(v^2/r), but it is clarified that this is not the same as the tension in the string. The tension varies depending on the ball's position in the circle, with different calculations needed for the top and bottom positions. The participants express understanding of the concepts but seek clarification on the relationship between centripetal force and tension. Overall, the thread emphasizes the importance of distinguishing between these forces in circular motion.
Dannystu
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Homework Statement



A ball, mass m = 1.5 kg is twirled at constant speed v at the end of a massless string in a vertical circle of radius r = 1.2 m. The period for this uniform circular motion is T = 1.3 s. Free body diagrams for the ball at the top and at the bottom of the circle are shown.
a. Compute the speed v of the ball.
b. Compute the ball’s centripetal acceleration.
c. Compute the “centripetal force” on the ball.
d. When the ball is at the top (point A in the figure) compute the tension FTA in the string.
e. When the ball is at the bottom (point B in the figure) compute the tension FTB in the string.



Homework Equations



I understand all the parts except for question c, is the formula for centripetal force m*(v^2/r)? Or is it the same as the The tension in the string?
 
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Dannystu said:
I understand all the parts except for question c, is the formula for centripetal force m*(v^2/r)?
Yes.
Or is it the same as the The tension in the string?
No, they are not the same.
 
thanks a lot Doc!
 
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