Centripetal acceleration using a sling

AI Thread Summary
To determine the centripetal acceleration required for a stone to be thrown 32 meters using a 1.6 m sling from a height of 2.4 m, one must first calculate the time it takes for the stone to fall 2.4 m. This involves using kinematic equations to find the necessary velocity to cover the horizontal distance of 32 m within that time frame. Once the tangential velocity is established, centripetal acceleration can be calculated using the formula Ay = v²/R, where R is the radius of the sling. The discussion highlights the need for assistance in connecting these calculations effectively. Understanding the relationship between vertical drop and horizontal distance is crucial for solving the problem.
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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!
 
Physics news on Phys.org
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?
 

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