Ball tied to string- centripetal force

In summary, the conversation discusses a ball twirled at constant speed in a vertical circle with a given mass, radius, and period. The questions involve computing the speed, centripetal acceleration, and centripetal force of the ball, as well as the tension in the string at the top and bottom of the circle. The formula for centripetal force is m*(v^2/r) and it is not the same as the tension in the string.
  • #1
Dannystu
16
0

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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  • #2
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.
 
  • #3
thanks a lot Doc!
 

Related to Ball tied to string- centripetal force

1. What is centripetal force?

Centripetal force is the force that keeps an object moving in a circular path. It acts towards the center of the circle and is necessary to maintain circular motion.

2. How is centripetal force related to a ball tied to a string?

The ball tied to a string experiences centripetal force because the string is constantly pulling it towards the center of the circular path. This force allows the ball to continue moving in a circular motion instead of flying off in a straight line.

3. What factors affect the centripetal force of a ball tied to a string?

The centripetal force of a ball tied to a string depends on the mass of the ball, the speed at which it is moving, and the length of the string. A larger mass or faster speed will require a greater centripetal force, while a longer string will provide a greater force.

4. How can you calculate the centripetal force of a ball tied to a string?

The centripetal force can be calculated using the formula F = (mv²)/r, where F is the centripetal force, m is the mass of the ball, v is its velocity, and r is the radius of the circular path.

5. What is the difference between centripetal force and centrifugal force?

Centripetal force and centrifugal force are often confused, but they are not the same. Centripetal force is the inward force that keeps an object moving in a circular path, while centrifugal force is the apparent outward force that seems to push an object away from the center of the circle. In reality, centrifugal force is just an illusion caused by inertia.

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