Maximum Stress in a rotating Cylinder.

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SUMMARY

The discussion focuses on calculating the maximum stress in a rotating cylinder with a height and length of 0.89m and a mass of 1000kg, rotating at 14000 RPM. The maximum stress occurs at the center of the cylinder, where the centripetal force is calculated using the formula F = mv² / r. The main challenge presented is determining the appropriate area to use for stress calculation, with a suggestion to consider a small area such as 0.001*d, where 'd' represents the diameter of the cylinder.

PREREQUISITES
  • Understanding of centripetal force and its calculation
  • Knowledge of stress and strain concepts in materials science
  • Familiarity with the formula for stress: Stress = Force / Area
  • Basic geometry to determine the area of the cylinder's cross-section
NEXT STEPS
  • Research the derivation of the centripetal force formula in rotating systems
  • Learn about stress distribution in rotating cylinders
  • Study the impact of rotational speed on material stress limits
  • Explore methods for calculating the cross-sectional area of cylindrical objects
USEFUL FOR

Mechanical engineers, materials scientists, and students studying dynamics or materials under rotational stress conditions will benefit from this discussion.

mk47k
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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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what's d answer?
 

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