What is the centripetal acceleration?

AI Thread Summary
To determine the centripetal acceleration of a ball twirled in a circle with a radius of 0.5m and released at a 30-degree angle, one must first calculate the initial velocity required for the ball to travel 1,000m horizontally. The discussion emphasizes using projectile motion principles to find this velocity, treating the ball's release as a projectile launched at an angle. The centripetal acceleration can then be calculated using the formula Ac = v^2 / r, where v is the velocity obtained from the projectile motion calculations. Participants express confusion about the calculations and the relationship between the projectile's motion and the centripetal force. Understanding these concepts is crucial for solving the problem accurately.
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Homework Statement



If a ball is being twirled in a circle with a radius of 0.5m, and then is let go such that the balls velocity makes an angle 30 degrees from the horizontal and then covers a distance of 1,000m before it hits the ground. What was the centripetal accelertaion provided by the string??

Picture provided

1.jpg


Homework Equations



Ac = v^2 / r


The Attempt at a Solution



I don't really understand how to get the velocity in order to just plug in everything else into the equation.
 
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Work backwards. What velocity would you need to make the ball arc 30 and cover 1000m for instance.
 
QuarkCharmer said:
Work backwards. What velocity would you need to make the ball arc 30 and cover 1000m for instance.

I'm still not understanding it. :confused:
 
He's saying pretend there was just a projectile fired at a 30 degree angle that covered 1000m, from that you can find the velocity of the projectile, that velocity is the same as the velocity the object was moving as it spun around the circle.
 
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