Uniform Circular Motion - Finding Fc/Ft without mass

AI Thread Summary
To find the tension in the string during uniform circular motion, the boy calculates the velocity using the formula V=(2*pi*r)/t, resulting in a speed of approximately 7.96 m/s. The centripetal force equation, Fc=(mv^2)/r, indicates that mass cancels out when calculating acceleration. However, the user struggles with determining the tension without knowing the mass of the rock. The discussion highlights the relationship between tension, centripetal force, and acceleration in circular motion. Ultimately, the solution requires understanding that mass is not needed to express the tension in terms of acceleration and radius.
Elatric
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Homework Statement


A boy ties a rock to a 0.95 m string and swings it in a horizontal circle directly over his head so that it completes one revolution every 0.75 s. What is the tension in the string?
So we know r and we can calculate V, but that's all I can deduce


Homework Equations


Fc=(mv^2)/r
V=(2*pi*r)/t

The Attempt at a Solution


2*pi*.95/.75= 7.9587 m/s
That's how far I got. I know the masses cancel with ma=mv^2/r but then I end up finding the acceleration. Help?
 
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