What Is the Maximum Safe Speed for a Car on a Circular Track?

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Homework Help Overview

The discussion revolves around determining the maximum safe speed for a car traveling on a flat, circular track, given specific parameters such as the radius of the track and the coefficient of friction.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the need to analyze forces involved, including friction and centripetal force. Some suggest starting with a free body diagram (FBD) and raising questions about the relationships between speed, radius, and friction.

Discussion Status

The conversation is ongoing, with participants exploring different aspects of the problem. Some guidance has been offered regarding the use of free body diagrams and the equations related to centripetal force and friction.

Contextual Notes

There is a note about the appropriateness of the thread's placement in the forum, indicating a potential misunderstanding of where such questions should be posted.

ChrisP2006
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Having trouble with this question:

"Friction provides the force needed for a car to travel around a flat, circular trace track. What is the maximum speed at which a car can safely travel if the radius of the track is 80.0m and the coefficient of friction is 0.40?"

Any help would be great.
 
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ChrisP2006 said:
Having trouble with this question:

"Friction provides the force needed for a car to travel around a flat, circular trace track. What is the maximum speed at which a car can safely travel if the radius of the track is 80.0m and the coefficient of friction is 0.40?"

Any help would be great.

You should have posted this in the HM section.I'm sure it will end up there.
To apply the rules from there,what are you ideas of solving the problem??

Daniel.
 
Start with a FBD.
 
What is the centripetal force necessary to keep a mass m moving around a circle of radius r at speed v?

What is the maximum friction force on a mass m when the coefficient of friction is μ?

Can you answer those questions? If yes, set them equal and solve for v.
 

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