Does a Tire's Point of Contact Have Zero Tangential Acceleration?

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Homework Help Overview

The discussion revolves around the concept of tangential acceleration at the point of contact between a tire and the ground while a car is accelerating. Participants are exploring the relationship between velocity and acceleration at this specific point during motion.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to understand the motion of the tire's point of contact, questioning whether the tangential acceleration is zero and exploring the implications of changing acceleration as the tire moves.

Discussion Status

Some participants are providing insights into the nature of acceleration at the point of contact, with one suggesting that the tangential acceleration is zero at the instant of contact. Others are questioning the transitions in acceleration and velocity, indicating a productive exploration of the topic.

Contextual Notes

There seems to be some confusion regarding the definitions and implications of tangential acceleration in relation to both the tire and the ground, as well as the effects of the car's constant acceleration on these values.

elyons
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A car is moving foreword with a constant acceleration. I know the point of the tire in contact with the ground has a velocity of 0 (relative to the ground). Is the tangential acceleration at this point also zero? I came across an example problem in my text where this occurs and and it does not make sense to me conceptually. If someone could give me a brief explanation I would very much appreciate it. Thanks.
 
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What is the motion of the point of contact immediately before and immediately after it it makes contact?
 
So the acceleration hits zero because it is changing from negative to positive but has an identical magnitude on both side of the point of contact? So the point has a tangential acceleration relative to the center of the wheel just not to the ground?
 
elyons said:
So the acceleration hits zero because it is changing from negative to positive but has an identical magnitude on both side of the point of contact? So the point has a tangential acceleration relative to the center of the wheel just not to the ground?
What is changing from negative to positive?
 
The tangential acceleration in terms of a fixed coordinate system. The velocity is accelerated to 0 as a point on the tire approaches the point of contact on the ground and after it reaches the point it is accelerated positively to increase the velocity of that point again. So at the instant the point is in contact with the ground the acceleration is 0. Sorry if I am not explaining my question clearly but writing it out like this I think I have worked it out so this helped! Thanks.
 

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