Banked Road

Illustration of a banked turn.

Banked road. The angle made by the surface with the horizontal i e. Safe velocity is independent of mass m of the vehicle. Total upwards force total downward force ncos theta mg fsin theta where. The angle of inclination is referred to as the banking angle.

A car moving at velocity v turns on a road banked at angle. The safe velocity of a vehicle on the banked road depends on the radius of the curved road the angle of banking and the acceleration due to gravity g at that place. Bouncing a pool ball off the cushions of the table is banked. A road surface tilted usually on curves is banked.

Let θ be the angle of banking with frictional force f acting between the road and the tyres of the vehicle. Consider a vehicle of mass m with moving speed v on the banked road with radius r. Along a turn the outer edge of a road is lifted up such that it is higher than the inner edge and the surface of the road looks like a slightly inclined plane. Thus it is the same for heavy and light vehicles.

And radius of curvature r.