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Homework Help
Introductory Physics Homework Help
Understanding Angular Velocity Calculations for Rotating Objects
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[QUOTE="Nikstykal, post: 5502418, member: 584563"] [h2]Homework Statement [/h2] [ATTACH=full]188641[/ATTACH] [h2]Homework Equations[/h2] v = w x r [h2]The Attempt at a Solution[/h2] I got the answer correct after a few tries, but I am little confused on why it has to solved this specific way. I know that v = w x r, so why can I not just say w = v/r? Is it because w is measured from the center of the roller so v = w x r would be v[SUB]center[/SUB], not v[SUB]top[/SUB]? That is how I ended up solving it, but I wanted to make sure I didn't get there "accidentally" or misinterpreted the process. [ATTACH=full]188642[/ATTACH] Using that diagram and concept of similar triangles: tan θ[SUB]top[/SUB] = tan θ[SUB]center[/SUB] S[SUB]top[/SUB]/2r = S[SUB]center[/SUB]/r S[SUB]top[/SUB] = 2*S[SUB]center[/SUB], S[SUB]center[/SUB] = rθ S[SUB]top[/SUB] = 2rθ d(S[SUB]top[/SUB])/dt = v[SUB]top[/SUB] = d(2rθ)/dt = 2rθ' = 2rω[SUB]top[/SUB] thus, ω = v/2r Any reasoning as to why I have to do this would be much appreciated! [/QUOTE]
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Introductory Physics Homework Help
Understanding Angular Velocity Calculations for Rotating Objects
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