Circular motion- how slowly would you twirl the ball in vertical circle

AI Thread Summary
To twirl an 800-g ball in a vertical circle of radius 1 m, the critical speed at the top must be calculated where the tension in the cord is zero. The gravitational force provides the necessary centripetal force, leading to the equation Fg = Fc. By rearranging the relevant equations, the minimum speed required is found to be v = √(gR). The calculated speed is approximately 3.13 m/s. Verification of this answer is requested for accuracy.
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Homework Statement



If you twirl a ball attached to a cord in a vertical circle, there would be a critical speed at the top for which the tension in the cord is zero. This is because the force of gravity supplies all the centripetal force necessary to complete the circle. How slowly would you twirl an 800-g ball so that it would describe a vertical circle of radius 1 m?

Homework Equations



Because we are looking for the slowest speed that the ball can have in order to complete the circle Fg=Fc
And therefore, through rearranging equations found that v=√gR

The Attempt at a Solution



So from that manipulated equation found that v=3.13m/s

If anyone could just verify my answer, that would be greatly appreciated! Thank you so much for your help and time!
 
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Looks okay to me.
 

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