Static friction, car going around a turn

Setting them equal to one another and solving for velocity gives:v = √(μgr)In summary, to find the speed at which a car will start to slide around a curve, you can use the equation v = √(μgr) where μ is the coefficient of static friction, g is the acceleration due to gravity, and r is the radius of the curve. This equation assumes no negative lift and can be used to find the minimum speed necessary to maintain traction on the curve.
  • #1
mmiller9913
14
0

Homework Statement



Suppose the coefficient of static friction between the road and the tires on a car is .60 and the car has no negative lift. What speed will put the car on the verge of sliding as it rounds a level curve 30.5m in radius.

Homework Equations


A=V^2/R
F=MV^2/R


The Attempt at a Solution


I've stared at this problem and have absolutely no idea where to start. You can't find the static friction since you don't know the normal force. You can't really use any of the centirpital motion equations since you don't have enough values for the variables
 
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  • #2
Well your static friction would provide the centripetal force.

Ffriction = μmg

Fcentripetal = mv2/r
 

Related to Static friction, car going around a turn

1. What is static friction?

Static friction is the force that prevents two stationary surfaces from sliding against each other. It is caused by the microscopic roughness of the surfaces and can be thought of as a "holding" force.

2. How does static friction affect a car going around a turn?

When a car is turning, static friction between the tires and the road is what allows it to maintain its grip and stay on the road. Without enough static friction, the car would slide off the road.

3. What factors affect the amount of static friction between a car and the road?

The amount of static friction between a car and the road depends on the weight of the car, the type of tires and road surface, and the speed and angle of the turn. The coefficient of static friction between the tires and road also plays a role.

4. How does the coefficient of static friction affect a car going around a turn?

The coefficient of static friction is a measure of how well the tires grip the road. A higher coefficient means there is a stronger force keeping the car on the road, allowing it to make sharper turns at higher speeds. A lower coefficient means the car may have trouble maintaining its grip, especially on wet or slippery roads.

5. Can static friction be increased?

Yes, the static friction between a car and the road can be increased by increasing the weight of the car, using tires with better traction, or by driving at slower speeds. However, there is a limit to how much static friction can be increased, as too much force can cause the tires to lose grip and start skidding.

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