Question

Derive an equation for angle of road banking.

Answer 1

Answer:

m= mass of the vehicle.

f = frictional force.

R = normal force.

μ = coefficient of the friction between road and vehicle.

α = angle of banking.

r = radius of the banked curved road.

v^2/rg = ( R sin α + μR cos α)/ ( R cos α - μR sin α)

angle of banking = α = tan^(-1) [(v^2 - μrg) / (rg + μv^2)]