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CHINMAYI AMIT KARMALKAR Grade: 11
        

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.

7 years ago

Answers : (1)

Askiitians Expert Soumyajit IIT-Kharagpur
28 Points
										

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

7 years ago
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