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

AI Thread Summary
Friction is essential for a car to navigate a flat circular track, and the maximum safe speed depends on the track's radius and the coefficient of friction. For a track with a radius of 80.0 meters and a coefficient of friction of 0.40, the problem requires calculating the centripetal force and the maximum friction force. To solve it, one should start with a free body diagram (FBD) and equate the necessary centripetal force to the maximum friction force. By setting these forces equal, the maximum speed can be determined. Understanding these principles is crucial for solving the problem effectively.
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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