Calculating Friction Force for Car in Circular Motion

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Homework Help Overview

The discussion revolves around calculating the friction force required for a car in circular motion on a banked curve. The scenario involves a 1000kg car navigating a curve with a radius of 65m at a speed of 90km/h, while the curve is banked at an angle of 14 degrees.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants are discussing the forces acting on the car, including centripetal force, normal force, gravity, and friction. There are attempts to set up equations based on free body diagrams and to verify the correctness of these equations.

Discussion Status

Some participants have provided links to resources and diagrams that may assist in understanding the problem. There is an ongoing exploration of the equations needed to analyze the forces involved, with no explicit consensus reached on the correctness of the proposed equations.

Contextual Notes

Participants are working under the constraints of a homework problem, which may limit the information available and the methods that can be used. The original poster has requested steps to solve the problem, indicating a need for guidance without directly seeking a solution.

gillgill
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A 1000kg car rounds a curve of radius 65m banked at an angle of 14 degrees. If the car is traveling at 90km/h, will a friction force be required? If so, how much and in what direction?

can anybody show me the steps?
thx very much...
 
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Well basically you are considering the movement of an object on an inclined plane. On the object you will have the centripetal force, the normal force, gravity and some friction...

try using this link : https://www.physicsforums.com/showthread.php?t=51034
Basically all is in there, you just need to apply it to this particular situation.

regards
marlon
 
65 cos 14˚ + f sin 14˚ = mg
⇒ 65 cos 14˚ + f sin 14˚ = (1000)(9.8)
65 sin 14˚ - f cos 14˚ = m(v^2)/r
⇒ 65 sin 14˚ - f cos 14˚ = (1000)[(90 x 1000/3600)^2]/65
is this correct??
 

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