Question

A nearby highway is being designed for traffic whose speed limit is 90km/h. If most people become uncomfortable on banked curve larger than 45 degrees, what is the minimum radius you could design the curve

Answer 1

The minimum radius of the curve is 6125 m

Step-by-step explanation:

Given;

speed limit of the highway, V = 90 km/h = 25 m/s

banking angle, θ = 45°

The minimum radius of the curve will be calculated by applying banking angle formula;

`mg tan \theta = F_(centripetal \ force)\\\\mg tan \theta = (mv^2)/(r)\\\\ g tan \theta = (v^2)/(r)\\\\r = (v^2)/( g tan \theta)\\\\r = ((25)^2)/((9.8)(1)) \\\\r = 6125 \ m`

Therefore, the minimum radius of the curve is 6125 m