Rotational Energy of a baseball

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Homework Help Overview

The discussion revolves around calculating the fraction of rotational kinetic energy in a baseball that is pitched and spinning. The baseball is treated as a uniform solid sphere, and participants are exploring the relationship between its rotational and translational kinetic energy.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants are considering the formula for rotational kinetic energy and questioning how to express the fraction of rotational kinetic energy relative to total kinetic energy.

Discussion Status

There is an ongoing exploration of the relevant equations for both rotational and translational kinetic energy. Some participants have provided formulas, while others are seeking clarification on how to calculate the fraction of kinetic energy.

Contextual Notes

Participants are working with specific values for mass, velocity, and angular velocity, and there may be some confusion regarding the definitions and calculations involved in determining the fraction of kinetic energy.

Lance WIlliam
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A 250 g baseball is pitched at 35 m/s, and it's spinning at 55rad/s .

What fraction of its kinetic energy is rotational? Treat the baseball as a uniform solid sphere of radius 3.8 cm.


Answer in K_rot_/K_tot


What the?! I am pretty lost on this one...

Do I use K_rot_=(1/2)[tex]I[/tex][tex]\omega[/tex]^2
 
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Lance WIlliam said:
Do I use K_rot_=(1/2)[tex]I[/tex][tex]\omega[/tex]^2

Yes this will give the rotational ke of the ball.
 
What is the Fraction of KE though?
 
The total energy of the ball is [itex]\frac{1}{2}mv^2[/itex]
 

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