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How to find max velocity in curve

  • Thread starter pacman.
  • Start date
  • #1
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Homework Statement


Curve radius is 230 meters and friction value between car tires and road is 0.87. Find the maximum speed of a car that wants to successfully pass through that curve.


Homework Equations


Friction force = k * N
Perimeter of a circle = 2 * pi * r
F = m * g
w = (f-f0)/t
a = r * w^2

The Attempt at a Solution


I know how to solve this exercise when I have the mass of a car and the time of travel. In this situation I tried to assign variables X and Y to both mass and time, but still didn't manage to find the correct answer.

PS. Correct answer should be 44 m/s.
 

Answers and Replies

  • #2
gneill
Mentor
20,781
2,759

Homework Statement


Curve radius is 230 meters and friction value between car tires and road is 0.87. Find the maximum speed of a car that wants to successfully pass through that curve.


Homework Equations


Friction force = k * N
Perimeter of a circle = 2 * pi * r
F = m * g
w = (f-f0)/t
a = r * w^2

The Attempt at a Solution


I know how to solve this exercise when I have the mass of a car and the time of travel. In this situation I tried to assign variables X and Y to both mass and time, but still didn't manage to find the correct answer.

PS. Correct answer should be 44 m/s.
I don't see the time of travel in the problem statement.

What do you think would limit the speed of the car driving around the curve (if it wanted to stay on the road!)?
 
  • #3
6
0
This problem is independent of mass and time, neither are required to find the answer. Drawing a force diagram might help you.
 
  • #4
1,137
0
better question ...
What you think is giving centripetal force to turn the curve ???
 

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