Acceleration of points on a wheel

AI Thread Summary
The discussion centers on understanding the acceleration of points on a wheel of radius R as it accelerates at a constant rate. The key question is identifying which point on the tire experiences the greatest acceleration and calculating that acceleration. The hint provided emphasizes that the total acceleration of a point on the wheel is the vector sum of its acceleration relative to the wheel's center and the center's acceleration relative to the ground. By analyzing these vectors, one can determine the point of maximum acceleration. This exploration highlights the complexities of rotational motion and vector addition in physics.
cauchyok
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I don't know why this problem is confusing me so much. Actually I do. I'll explain.A car with wheels of radius R is accelerating at a constant rate. At what point on the tires is there the greatest acceleration, and what is this acceleration?I've attempted this from different perspectives, and it would be useless to describe them all here, so I won't bother.(This is NOT homework.)
 
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Hint: The acceleration of any point on the wheel with respect to the ground = the acceleration of the point with respect to the center of the wheel + the acceleration of the center of the wheel with respect to the ground.

Add those two vectors to find where their sum is greatest.
 

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