Coefficient of friction of a moving car

In summary, the problem is asking for the coefficient of friction between the car's wheels and the roadway in order to prevent skidding while rounding a corner with a radius of curvature of 8 m at a speed of 5 m/s. The frictional force must provide the centripetal force for the car's acceleration, which can be determined using Newton's second law.
  • #1
katem
2
0

Homework Statement



A car moving at 5 m/s tries to round a flat corner that has a radius of curvature of 8 m. How large must the coefficient of friction be between the wheels and the roadway if the car is not to skid?

Homework Equations



mv^2/r i don't know anything else. Fc=Fn(mk)

The Attempt at a Solution


Don't really know where to start?


 
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  • #2
Start with the frictional force providing the centripetal force.
 
  • #3
Welcome to PF!

Hi katem! Welcome to PF! :smile:

(try using the X2 and X2 tags just above the Reply box :wink:)

Use good ol' Newton's second law …

what must the acceleration be? and what must the forces be, to produce that acceleration? :smile:
 

What is the coefficient of friction of a moving car?

The coefficient of friction of a moving car is a measure of the amount of resistance between the tires of the car and the surface of the road. It is a dimensionless number that ranges from 0 to 1, with lower values indicating less friction and higher values indicating more friction.

Why is the coefficient of friction important for cars?

The coefficient of friction is important for cars because it affects the car's ability to stop, accelerate, and turn. A higher coefficient of friction allows for more control and stability while driving, especially in wet or slippery conditions.

What factors affect the coefficient of friction of a moving car?

The coefficient of friction of a moving car is affected by several factors, including the type and condition of the tires, the weight and distribution of the car, the type of road surface, and the weather conditions. Additionally, the use of certain materials on the tires, such as winter tires, can also affect the coefficient of friction.

How is the coefficient of friction of a moving car measured?

The coefficient of friction of a moving car is typically measured in a controlled laboratory setting using a device called a tribometer, which simulates the conditions of a car tire on a road surface. The coefficient of friction can also be calculated using mathematical equations based on the weight and surface area of the car and the force required to move it.

Can the coefficient of friction of a moving car be changed?

Yes, the coefficient of friction of a moving car can be changed by altering the factors that affect it, such as changing the tires, adjusting the weight distribution of the car, or using different materials on the tires. Additionally, driving techniques, such as braking and accelerating smoothly, can also affect the coefficient of friction of a moving car.

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