Question

A meler gauge train is moving at
72 km along a curved railway of radius
of curvature 500m at a certain place.
Find the elevation of the outer rail above
the inner rail so that there is side
pressure on the rail​

Answer 1

The elevation of the outer rail above  the inner rail so that there is side

pressure on the rail​ is 0.0814 m

1. The formula for banked track is
2. tan(Ф) =$\frac{V^{2}}{rg}$ Here v is the velocity , radius of the curved railway track and g is the acceleration due to gravity 9.8m/s
3. V= (72x1000)/3600=20m/s and r = 500m
4. Ф = $tan^{-1}(400/500X9.8)= tan^{-1}(0.08163)= 4.67 degree$
5. The elevation of the outer rail above  the inner rail so that there is side  pressure on the rail​
6. h=l sin(Ф) =1 sin(4.67) =0.0814 m