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My Question is: A train has to negotiate a curve of 250m. By how much should the outer rail be raised with respect to the inner rail for a speed of 54 km/hr ? the distance between the rails is 1.2m. Take g=10m/s2 I am unable to get the formula to solve this. Thank You.

My Question is:


A train has to negotiate a curve of 250m. By how much should the outer rail be raised with respect to the inner rail for a speed of 54 km/hr ? the distance between the rails is 1.2m. Take g=10m/s2


I am unable to get the formula to solve this. 


Thank You.

Grade:11

1 Answers

Askiitians Expert Soumyajit IIT-Kharagpur
28 Points
11 years ago

DearChinmayi Karmalkar,

Ans; Draw the FBD of the problem. let N be the normal reaction and the horizontal part of which gives the centipetal Accn. Hence the eq of motion are

N sinθ=mv²/r

N cosθ=mg

Hence tanθ=v²/rg

Putting the values we get that tanθ=0.09

Let the height of the outer track is=x Then tanθ=x/1.2

So x=0.108 m(ans)

 

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Regards,

Askiitians Experts

SOUMYAJIT IIT_KHARAGPUR

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