A tennis ball connected to a string is spun around in a vertical, circular path at a uniform speed. The ball has a mass m = 0.16 kg and moves at v = 5.33 m/s. The circular path has a radius of R = 1.13 m

What is the minimum velocity so the string will not go slack as the ball moves around the circle?

Question

A tennis ball connected to a string is spun around in a vertical, circular path at a uniform speed. The ball has a mass m = 0.16 kg and moves at v = 5.33 m/s. The circular path has a radius of R = 1.13 m 

What is the minimum velocity so the string will not go slack as the ball moves around the circle?

anonymous · Answer

You need to find the centripetal acceleration that is at least equal to the acceleration of gravity.

anonymous · Answer

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anonymous · Answer

once i find the centripital accel then what?

anonymous · Answer

mg = mV^2/r
g=V^2/r
sqrt(rg) =V

anonymous · Answer

thank you soo much!

perl · Answer

@CliffSedge
Your tension vector is not pointing in the right direction, tension is pointing towards the center

anonymous · Answer

@perl. Incorrect. Tension is pointing towards the center from the ball, but tension is also pointing towards the ball from the center (Newton's Third Law).
It is just a schematic of the situation and not a free-body diagram.