The coefficient of static friction on an unbanked curve

In summary, the problem is asking which statement is correct about a car traveling at 100 m/s entering an unbanked turn of 400 m radius with a coefficient of static friction of 1.1 between the tires and track. The correct statement is that the car will crash into the outer wall. The given equation is v = √(μgr), and when solved for v, it is equal to 100 m/s. This implies that the car's speed is equal to the required speed for it to crash into the outer wall.
  • #1
apt8
7
0

Homework Statement


A car traveling at 100 m/s enters an unbanked turn of 400 m radius. The coefficient of static friction between the tires and track is 1.1. The track has both an inner and outer wall. Which statement is correct?


Homework Equations



v=<square root>coefficientmgr/m

The Attempt at a Solution



A. The car will crash into the outer wall.
B. The car will crash into the inner wall.
C. The car will stay in the center of the track.
D. The car will stay in the center of the track if the driver speeds up.
E. The car would stay in the center of the track if the radius were 200m.




please help!
 
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  • #2
apt8 said:

Homework Statement


A car traveling at 100 m/s enters an unbanked turn of 400 m radius. The coefficient of static friction between the tires and track is 1.1. The track has both an inner and outer wall. Which statement is correct?


Homework Equations



v=<square root>coefficientmgr/m

The Attempt at a Solution



A. The car will crash into the outer wall.
B. The car will crash into the inner wall.
C. The car will stay in the center of the track.
D. The car will stay in the center of the track if the driver speeds up.
E. The car would stay in the center of the track if the radius were 200m.




please help!
you have the right equation; solve it for v and compare it to the given v. What does this imply? Please show some attempt.
 
  • #3
thank you! that's all i needed
 

Related to The coefficient of static friction on an unbanked curve

1. What is the coefficient of static friction on an unbanked curve?

The coefficient of static friction on an unbanked curve is a measure of the amount of friction between two surfaces that prevents one surface from sliding or slipping against the other when they are at rest. It is denoted by the symbol μs and is a dimensionless quantity.

2. What factors affect the coefficient of static friction on an unbanked curve?

The coefficient of static friction on an unbanked curve depends on the nature of the two surfaces in contact, the roughness of the surfaces, and the amount of normal force applied on the surfaces. It also depends on environmental factors such as temperature and humidity.

3. How is the coefficient of static friction on an unbanked curve measured?

The coefficient of static friction on an unbanked curve can be measured using a device called a friction tester. This device applies a force on the surface and measures the amount of force required to cause the surface to start sliding or slipping. The ratio of these two forces is the coefficient of static friction.

4. What is the relationship between the coefficient of static friction on an unbanked curve and the angle of the curve?

The coefficient of static friction on an unbanked curve is independent of the angle of the curve. It only depends on the factors mentioned in the second question. However, the angle of the curve can affect the direction of the normal force and thus, indirectly affect the coefficient of static friction.

5. Why is the coefficient of static friction on an unbanked curve important?

The coefficient of static friction on an unbanked curve is important because it determines the maximum amount of force that can be applied on a surface before it starts to slide or slip. It is crucial in ensuring the safety and stability of objects and vehicles moving around curves, such as cars on a road or trains on a track.

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