Calculating Maximum Speed for Circular Motion with Tension Limit

AI Thread Summary
To calculate the maximum speed of a rock being whirled on a string before it breaks, the tension limit of 24 N and the mass of 0.67 kg must be considered. Using the formula for centripetal acceleration, the equation F = MA is applied, leading to the calculation of velocity. The correct calculations yield a maximum speed of approximately 2.66 m/s. The discussion highlights the importance of double-checking calculations to avoid errors. Accurate application of the formulas is crucial for determining the correct maximum speed in circular motion scenarios.
TG3
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Homework Statement


A 670 gm rock is whirled on the end of a string 44 cm long which will break under a tension of 24 N.
What is the highest speed the rock can be twirled before it breaks?

Homework Equations


Centripital Acceleration = velocity ^2 / radius
F=MA

The Attempt at a Solution


F = M A
24 = .67 x (V^2 / R)
24= .67 x (v^2 / .44)
7.0752 = V^2
2.6599 = V

What am I doing wrong?
 
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TG3 said:
F = M A
24 = .67 x (V^2 / R)
24= .67 x (v^2 / .44)
7.0752 = V^2
2.6599 = V

What am I doing wrong?

That is not the value I receive. Check your calculation again.
 
Ha ha... wow. I feel dumb now. Thanks...
 

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