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

[chrisridgwell]

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

 

[Doc Al]

im confused as to what g actually stands for

g is the acceleration due to gravity; g ≈ 9.8 m/s².

 

[chrisridgwell]

so the equation should read:
theta= tan^-1(900/(100x9.8))

 

[Doc Al]

Yes.

 

[chrisridgwell]

Thankyou very much, I am sure i will return