Centripetal acceleration using a sling

In summary, the conversation discusses using a sling to throw a stone a distance of 32 m. The question is what centripetal acceleration is needed for the stone to reach this distance, assuming a release height of 2.4 m. The person attempted to use kinematic and 2-dimensional equations but was unable to find a solution.
  • #1
mrparker2
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Homework Statement


You plan to throw stones by using a sling of length 1.6 m which you whirl over your head. Suppose you wish to throw a stone a distance of 32 m. What must be the centripetal acceleration of the stone just before its release if it is to reach this distance? Assume that the release height is 2.4 m.


Homework Equations


Ay=v2/R


The Attempt at a Solution


Attempted to use kinematic and 2 dimensional equations but cannot find a way to get a velocity or a time to figure anything out

any help would be great thanks!
 
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  • #2
How long does it take to fall 2.4m?
What velocity does it take to travel 32m in this time?
What centripetal acceleration do you need to get this tangential velocity?
 

1. What is centripetal acceleration?

Centripetal acceleration is the acceleration that an object experiences when it moves in a circular motion. It always points towards the center of the circle and is responsible for keeping the object moving in a curved path.

2. How is centripetal acceleration calculated?

The formula for calculating centripetal acceleration is a = v^2/r, where a is the centripetal acceleration, v is the velocity of the object, and r is the radius of the circle.

3. What is a sling and how is it used to demonstrate centripetal acceleration?

A sling is a projectile weapon consisting of a piece of flexible material, such as a strap or rope, attached to a handle on one end and a pouch or pocket for holding the projectile on the other end. To demonstrate centripetal acceleration, the sling is swung in a circular motion and the projectile is released. The projectile will continue to move in a curved path due to the centripetal acceleration acting on it.

4. What factors affect the centripetal acceleration of an object in a sling?

The centripetal acceleration of an object in a sling is affected by the speed at which the sling is swung, the length of the sling, and the mass of the object being swung in the sling. A higher speed and longer sling will result in a greater centripetal acceleration, while a heavier object will require more centripetal force to maintain its circular motion.

5. What are some real-life examples of centripetal acceleration using a sling?

Some real-life examples of centripetal acceleration using a sling include a hammer throw in track and field, a lasso being swung by a cowboy, and a slingshot being used to launch a projectile. All of these actions involve a circular motion and the use of centripetal acceleration to maintain the object's path.

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