Answer:
The minimum radius of the curve is 6125 m
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;
[tex]mg tan \theta = F_{centripetal \ force}\\\\mg tan \theta = \frac{mv^2}{r}\\\\ g tan \theta = \frac{v^2}{r}\\\\r = \frac{v^2}{ g tan \theta}\\\\r = \frac{(25)^2}{(9.8)(1)} \\\\r = 6125 \ m[/tex]
Therefore, the minimum radius of the curve is 6125 m
