How to find max velocity in curve

Click For Summary
To find the maximum speed of a car navigating a curve with a radius of 230 meters and a friction coefficient of 0.87, it's essential to understand that mass and time are not necessary for this calculation. The centripetal force, provided by friction, is what allows the car to maintain its path without skidding. The correct formula involves using the friction force to determine the maximum speed, which is calculated to be 44 m/s. A force diagram may aid in visualizing the forces at play, emphasizing the role of friction in maintaining the car's trajectory. Understanding these concepts is crucial for solving similar physics problems effectively.
pacman.
Messages
1
Reaction score
0

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.
 
Physics news on Phys.org
pacman. said:

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!)?
 
This problem is independent of mass and time, neither are required to find the answer. Drawing a force diagram might help you.
 
better question ...
What you think is giving centripetal force to turn the curve ?
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
2K
Replies
4
Views
2K
  • · Replies 5 ·
Replies
5
Views
7K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 23 ·
Replies
23
Views
8K
Replies
3
Views
2K
Replies
17
Views
6K
Replies
5
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K