A circular road of radius 50 m has the angle of banking equal to 300. At what speed should a vehicle go on this road 80 that the friction is not used?

We know that, tanθ=v2/rg

Where, θ = angle of banking = 30°


v = speed of vehicle


r = radius of the circular path/ turn = 50 m


g = acceleration due to gravity = 10m/s2


tan30°= v2/(50×10)


v2 = 500/√3


v2 = 500/1.73


v = 16.99 ≈ 17 m/s


The vehicle should go with a speed of 17 m/s.


1