Moment of inertia, when a velocity of ball triples?

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Homework Help Overview

The discussion revolves around the moment of inertia of a ball and its relationship to velocity, specifically when the velocity triples. Participants are exploring the fundamental concepts of moment of inertia and its dependence on various factors.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants question whether the moment of inertia changes with velocity and discuss its dependence on mass and radius. There is uncertainty about the implications of velocity on inertia.

Discussion Status

Some participants have offered insights into the definition of moment of inertia and its formula, while others express uncertainty about the relationship between velocity and inertia. Multiple interpretations are being explored, particularly regarding the effects of relativistic speeds.

Contextual Notes

There is a mention of relativistic effects, indicating that some participants are considering advanced concepts that may not be directly relevant to the initial question about classical mechanics.

rcmango
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Homework Statement



What happens to the moment of inertia when the velocity of a ball triples?


Homework Equations





The Attempt at a Solution



does the moment of inertia triple? become nin times bigger, remain the same, or become only 1/3 of what it was?

not sure, what is really going on with the inertia in this situation.
help please.
 
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The first question I would ask myself is:

What does the moment of inertia depend upon? Does it depend on the velocity?

Do you know what moment of inertia is and how it is defined? Do you know the formula for the moment of inertia of a solid sphere (or how to calculate it)? If so, you should be able to answer this question yourself.
 
okay, so i assumed that the inertia will stay the same because the radius and the mass are in the formula only.
 
rcmango said:
okay, so i assumed that the inertia will stay the same because the radius and the mass are in the formula only.

you are correct , though i think at relativistic speeds you get a mass dilation but i don't know jack about that
 

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