Quote:
Originally Posted by El Dusty
You have a close approximation but I = MR^2 only works for thin hoops which a tire is not really. The mass is distributed throughout the radius (serious calculus required). This approximation becomes worse when comparing MTs with heavier sidewalls to ATs and also different load / construction tires like we are doing here.
I think percentage difference between the two measurement is probably very close (7.5%) but the inertia you are calculating are higher than reality.
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I’m aware. I intentionally made the broad assumptions required to seriously reduce the complexity of the problem. I agree very different tread patterns/depths can result in massive error from the assumptions made.
Also agree on your last paragraph. Was looking for a relative difference with same assumptions, not necessarily accuracy of the calculations.