First slide
Banking of road
Question

A vehicle is moving with a velocity v on a curved road of width b and radius of curvature R. For counteracting the centrifugal force on the vehicle, the difference in elevation required in between the outer and inner edges of the road is

Moderate
Solution

A shown in fig, let θ be the angle of banking to counteract the centrifugal force.

Now  tanθ=v2/rg

If x be the elevation required, then

sinθ=Xb  or  θ=sinθ=tanθ=Xb Xb=V2rg  or  x=V2bRg

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