A flyover bridge is in the form of a circular arc of radius 39.5m. What is the limiting speed at which a car can cross the bridge without loosing contact with the road, at the highest point ? (Assume that centre of gravity of the car is 0.5 m above the road and `g = 10 m/s^2` ).

Explanation

Since the centre of gravity of the car is 0.5 m above the road, the effictive radius
39.5 + 0.5 =40 m
`therefore` For equilibrium (mv^2)/r=mg thereforev^2=rg
`V=sqrt(rg)=sqrt(40xx10)=20` m/s.