HAHA! Oh man, thank you for pointing out the key flaw.. :)
This is to describe the breaking of a piece of toilet paper off the roll. I have read the other post on the site, but it wasnt heavily equation laden.
Thanks!
Here is how I derived angular acceleration to linear acceleration:
> Radius*theta = ArcLength;
> d(Radius*theta)/dt = ds/dt;
> Radius*omega = V;
> d(Radius*omega)/dt = dV/dt;
> Radius*alpha = a;
> alpha = a/Radius;
here is a link for a clearer image...
My main confusion is in the proof my professor showed us just before break. He came up with a relationship of (angular acceleration)=radius*(linear acceleration) which doesn't make sense, we are assuming a 90 degree angle, so from r x (angular acceleration) = (linear acceleration) wouldn't we...