Circular Motion of an automobile

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Homework Help Overview

The discussion revolves around the concept of centripetal acceleration in the context of an automobile's motion. Participants explore scenarios where an automobile can experience centripetal acceleration without tangential acceleration, focusing on the definitions and implications of velocity as a vector quantity.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relationship between centripetal and tangential acceleration, questioning how a change in direction can occur without a change in speed. They consider examples and definitions related to velocity and forces acting on the automobile.

Discussion Status

The discussion is active, with participants providing insights and examples. Some guidance has been offered regarding the conditions under which centripetal acceleration can occur without tangential acceleration, and multiple interpretations of the scenario are being explored.

Contextual Notes

Participants are considering the effects of resistive forces such as friction and air resistance, and how these might influence the scenario being discussed. There is an acknowledgment of the complexities involved in real-world applications of these concepts.

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Homework Statement


This is just a conceptual question:
Give an example of a situation in which an automobile driver can have a centripetal acceleration but no tangential acceleration.


Homework Equations


N/A


The Attempt at a Solution


I understand that centripetal acceleration occurs when there's a change in direction, but how can a driver change direction without having a velocity? I think it may have something to do with skidding, but then again, I might be totally off :confused:
 
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Think about the definition of velocity, being a vector. It has a magnitude and direction. Since centripetal and tangential acc'ns are at normals, you can have one without the other. A change in direction with no change in magnitude of velocity (speed) will give you a centripetal acc'n without a tangential one.
 
So, would an example be if velocity stayed at a constant 5 m/s and the car turned?
 
Yes that would be ok. In the example of a car, there will always be resistive forces i.e. friction/air resistance but if the driver accelerates enough to balance these, his speed will stay constant. If he turns the car there will be a static friction force directed towards the centre of the turning circle, this supplies the centripetal force.
 

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