What is the Relation Between Linear and Rotational Speed?

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Homework Statement



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

Multiple-choice physics exam page with questions A through F, including a rolling-object question with graphs of energy and speed against time, a pulley-and-cylinder diagram with radius R, and a turntable question.



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!
 
Attachments
  • Multiple-choice physics exam page with several questions (A to F), including graphs of position, velocity and acceleration against time, a rolling-object question with options for cylinder, hollow cylinder, solid sphere and hollow sphere, and a rotating-platform diagram with radius R.
    Rotational Dynamics Question.jpg
    13.2 KB · Views: 477
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:​