A Train Has To Negotiate A Curve Of Radius 200 M. By How Much Should The Outer Rails Be Raised With Respect To The Inner Rails For A Speed Of 36 Km H –1. The Distance Between The Rails Is 1.5 M. Take g = 10 Ms–2. 

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Question

 

A train has to negotiate a curve of radius 200 m. by how much should the outer rails be raised with respect to the inner rails for a speed of 36 km h –1. The distance between the rails is 1.5 m.

Take g = 10 ms–2

Solution

Correct option is

7.5 cm

 

Radius of the curve (R) = 200 m   

Distance between rails (x) = 1.5 m

Let the outer rails be raised by a height h with respect to the inner rails so that the angle of banking is θ (fig.)

                          

 

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