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A train has to negotiate a curve of radius 400m. By how much height should the outer rail be raised with respect to inner rail for a speed of 48 km/hr? The distance between the rails is 1m.

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Solution

radius of curved path is r. width of path isbm. the outer edge is raised by h w. r . t inner edge so that a car with speed v can pass safe over it. the value of his
tanθ=v²rg
=hbh=v²brg
substituting the values according to given question,
v=48kmh=(481000)6060ms1=403ms1
b=1m
r=400m
g=9.8ms12
h=(403)²14009.8
=0.0045m
=4.54cm

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