Curve banking question?

Question

Michea must design a highway curve with a radius of curvature of 145m that can accomodate cars travelling at 85km/h at what angle should the curve be baked?

Answer 1

The formula for the angle of a banked curve is given by

tan A = v^2/rg

where

A = angle of the bank

v = velocity = 85 kph (given) = 23.61 m/sec.

r = radius of curvature = 145 m (given)

g = acceleration due to gravity = 9.8 m/sec^2 (constant)

Substituting values,

tan A = (23.61)^2/(145 * 9.8)

tan A = 0.3923

A = arc tan 0.3923

A = 21.42 degrees