What Is the Angle of Inclination for a Car on a Banked Track?

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Homework Help Overview

The discussion revolves around a physics problem involving a car moving on a banked track, where the angle of inclination needs to be determined based on given parameters such as mass, speed, and radius of the track.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to apply the formula for the angle of inclination using the car's speed and the radius of the track but expresses confusion about the variable 'g' in the equation.

Discussion Status

Participants have clarified the meaning of 'g' as the acceleration due to gravity, and there is a suggestion to adjust the equation accordingly. The discussion is ongoing, with some participants confirming the adjustments made to the equation.

Contextual Notes

There is an emphasis on understanding the variables involved in the equation, particularly the role of gravitational acceleration in the context of the problem.

chrisridgwell
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a car of mass 1000kg moves round a banked track at a constant speed of 108km/h. the reaction of the wheels is at right angles to the track, the horizontal radius is 100m. calculate the angle of inclination of the track.



Homework Equations


tan(theta)= V^2/rg



The Attempt at a Solution


108km/h = 30m/s
(theta)= Tan^-1(900/(100 x g))

im confused as to what g actually stands for
 
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chrisridgwell said:
im confused as to what g actually stands for
g is the acceleration due to gravity; g ≈ 9.8 m/s².
 
so the equation should read:
theta= tan^-1(900/(100x9.8))
 
Yes.
 
Thankyou very much, I am sure i will return
 

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