Maximum Stress in a rotating Cylinder.

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Homework Statement


A cylinder has a height and length of 0.89m. It's mass is known to be 1000kg. The cylinder is rotated at 14000 RPM. Calculate the Maximum stress in the cylinder.

2. The attempt at a solution
The maximum stress should occur at the center of the cylinder.
The centepietal force is equal to F=mv2 / r .

Now this is where I'm having problems. After I calculate the force what area should I divide it by to find the max stress?. Can I just assume the area to be really small such as 0.001*d ?
 
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