Physics

Problem

A railway track is to be constructed on a curve of radius

1000\,\text{m}

. The track gauge (distance between rails) is

1.5\,\text{m}

. The design speed for the train is

v = 20\,\text{m/s}

. Calculate the elevation height

h

of the outer rail relative to the inner rail so that there is no friction required. Assume the angle of banking is small.