At what should a highway be banked for cars travelling at a speed of 100 km/h if the radius of the road is 400 m and no frictional forces are involved?

Explanation

The banking should be done at an angle `theta` such that
tan `theta = (v^(2))/(rg) = ((250)/(9) xx (250)/(9))/(400xx 10)`
or tan `theta = (625)/(81 xx 40) = 0.19`
or `theta = tan^(-1) 0.19 = approx 0.19 xx 57.3^(@)`
`approx 11^(@)`