Calculating Rotational Kinetic Energy with Unknown Radius and Mass

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SUMMARY

The discussion focuses on calculating the rotational kinetic energy of a bowling ball while considering its motion on a vertical rise. The moment of inertia for the bowling ball is given as I = (2/5)MR². The ball rolls without slipping with a center of mass translational velocity of 4.0 m/s at the bottom of the rise. The key challenge is determining the rotational kinetic energy without knowing the radius or mass of the ball, although the translational speed at the top has been calculated.

PREREQUISITES
  • Understanding of rotational dynamics and kinetic energy concepts
  • Familiarity with the moment of inertia formula
  • Knowledge of the relationship between translational and rotational motion
  • Basic algebra for substituting variables in equations
NEXT STEPS
  • Study the derivation of rotational kinetic energy formulas
  • Learn about the conservation of energy in rolling motion
  • Explore the implications of mass and radius on rotational dynamics
  • Investigate the effects of friction in rolling without slipping
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hippolyta2078795
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A bowling ball ( I = 2/5 M ^R2 ) encounters a 0.8 m vertical rise on the way back to the ball rack. If the ball rolls without slipping with a center of mass translational velocity of 4.0 m/s at the bottom of the rise.

How do I find the rotational kinetic energy of the ball at the top or bottom without knowing the radius? I know how to find the translational speed at the top.
 
Last edited:
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I just figured it out. Just need to substitute properly.
 
I was mistaken. I do not know the mass.
 

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