Maximum speed of a car in a circular flat track (involves static friction)

Thread starter kalisious
Start date Oct 25, 2009
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Car Circular Flat Friction Maximum Speed Static Static friction Track

AI Thread Summary

To determine the maximum speed of a car on a circular flat track with a radius of 50 meters and a static friction coefficient of 0.4, the relevant forces include centripetal force and frictional force. The maximum speed can be calculated using the formula v = √(μ * g * r), where μ is the coefficient of static friction, g is the acceleration due to gravity, and r is the radius of the track. Substituting the values, the maximum speed can be derived as approximately 14 meters per second. Understanding the relationship between friction and centripetal force is crucial for solving this problem. Proper application of these equations will yield the solution to the maximum speed without sliding.

Oct 25, 2009

kalisious

Homework Statement

In a circular flat track of radius 50m, what is the maximum speed car can go without sliding? Assume the coefficient of static friction between the car tire and the road is 0.4.

Homework Equations

Unsure of what equations to use.

The Attempt at a Solution

Unsure of what equations to use to attempt solution.

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Oct 25, 2009

Delphi51

Homework Helper

What forces are involved? Write down the appropriate force formulas as a start.

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