How to find max velocity in curve

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Homework Help Overview

The problem involves determining the maximum speed of a car navigating a curve with a specified radius and friction coefficient. The context is rooted in physics, particularly in dynamics and circular motion.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relevance of mass and time in solving the problem, with one suggesting that these factors may not be necessary. There is also mention of drawing a force diagram to aid understanding.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem. Some guidance has been offered regarding the independence of certain variables, and questions about the forces involved in maintaining the car's path are being raised.

Contextual Notes

There is a noted absence of information regarding the time of travel, which some participants highlight as a potential limitation in understanding the problem. Additionally, the correct answer is mentioned, but without resolution on how to arrive at it.

pacman.
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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.
 
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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 ?
 

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