a ball whose mass is 2.0 kg is tied to a rope which is 30 cm long and set intove

Question

a ball whose mass is 2.0 kg is tied to a rope which is 30 cm long and set intovertical uniform circular motion. If the maximum tension that the rope can have before it breaks is 150N , what is the maximum number of turns per second that the ball can rotate before the rooe breaks? a ball whose mass is 2.0 kg is tied to a rope which is 30 cm long and set intovertical uniform circular motion. If the maximum tension that the rope can have before it breaks is 150N , what is the maximum number of turns per second that the ball can rotate before the rooe breaks?

Explanation / Answer

at bottom point ,

balancing forces in vertical direction,

T = mg + mv^2 /r

T = 2 ( 9.81 + v^2 /0.30 )

max. of T can be 150 N, so

150 =  2 ( 9.81 + v^2 /0.30 )   

v = 4.42 m/s

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