Find Max Speed Before String Breaks for 6 kg Rock on Rope

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To determine the maximum speed of a 6 kg rock spinning in a circle before the string breaks, the maximum tension of 75 N must be considered. The net force equation Fnet = ma is applied, along with the centripetal acceleration formula a = 4π²R/T². The calculations show that the gravitational force equals the centripetal force, leading to a tension calculation of T = 2.2 seconds for the period. The user seeks confirmation on whether to use the acceleration formula to find speed using a = v²/R. The discussion emphasizes the relationship between tension, acceleration, and speed in circular motion.
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Homework Statement


so there's a 6 kg rock spinning in a circle with a string that can with stand a maximum tension of 75 and a radius of 1.5m
and i need to find the maximum speed before the string will break

Homework Equations



Fnet=ma
a=4\pi2R/T2

The Attempt at a Solution


so Fnet =ma and a = 4\pi2R/T2
so Fg = m*4\pi2R/T2
so 6*9.8 = 6*4\pi21.5/T2
so 58.8 = 284.24 / T2
so T = 2.2

no would i be able to use this formula a=4\pi2R/T2 to find the acceleration and then use a= v2/R to get the speed?
 
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