What is the Relation Between Linear and Rotational Speed?

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The discussion focuses on the relationship between linear speed and rotational speed, emphasizing their interconnectedness. Participants are encouraged to analyze the provided graphs to understand how changes in one affect the other. The conversation also touches on the implications of this relationship for moment of inertia, suggesting a deeper exploration of how mass distribution influences rotational dynamics. The initial poster expresses confusion and seeks guidance on how to approach the questions. Overall, the thread aims to clarify the concepts of linear and rotational motion in a physics context.
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Homework Statement



http://i.imgur.com/2Pi18.png

2Pi18.png



Homework Equations





The Attempt at a Solution



Sorry to say this, but I am completely clueless about these questions. I don't know how to start what to consider. Would anyone like to help me?

Thanks!
 

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Start with Question A.

Look at the two left-hand graphs …

what do they tell you about the relation between linear speed and rotational speed?

and what does that tell you about the moment of inertia ? :wink:​
 
Thread 'Correct statement about size of wire to produce larger extension'

Thread 'Correct statement about size of wire to produce larger extension'

The answer is (B) but I don't really understand why. Based on formula of Young Modulus: $$x=\frac{FL}{AE}$$ The second wire made of the same material so it means they have same Young Modulus. Larger extension means larger value of ##x## so to get larger value of ##x## we can increase ##F## and ##L## and decrease ##A## I am not sure whether there is change in ##F## for first and second wire so I will just assume ##F## does not change. It leaves (B) and (C) as possible options so why is (C)...
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