A road is 10 metre wide. Its radius of curvature is 50 metre. The outer edge is above the inner edge by a distance of 1.5 metre. This road is most suited for the velocity [ g =9.8 ~m / s ^2 . ]

Step-by-step solution

Consider the free body diagram below: By taking vertical and horizontal force balance: N = mv ^2 / R & ~N = mg The banking angle of the road can be written as: = v ^2 Rg = h w v = Rgh w = 50 ~m 1.5 ~m 9.8 ~m / s ^2 10 ~m =8.57 ~m / s