The pavement of a segment of highway is inclined at an angle of theta . If the r

Question

The pavement of a segment of highway is inclined at an angle of theta . If the rated speed of this segment of the highway is, determine the radius of curvature of this segment so that a car traveling at the rated speed does not depend on friction to prevent it from sliding down or up the track.

The pavement of a segment of highway is inclined at an angle of theta . If the rated speed of this segment of the highway is, determine the radius of curvature of this segment so that a car traveling at the rated speed does not depend on friction to prevent it from sliding down or up the track.

Explanation / Answer

The forces acting on the vehicle are

a. the centrifugal force acting radially outwards,

b. the weight of the vehicle acting vertically downwards,

c. the upward reaction of the road on the vehicle.

This Centrifugal force (P) can be represented by, P = Wv2/gR. It acts horizontally at the centre of gravity of the vehicle and its load..For equilibrium the centrifugal force must be counteracted either by lateral friction developed between the tyre and the road surface alone, by the inward tilt of the road surface known as

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