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CBSE Class 11-science Answered

22nd ques plz
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Asked by lovemaan5500 | 24 Jan, 2019, 05:44: AM
answered-by-expert Expert Answer
Figure shows the calculation method of required banking of tracks.
Normal reaction force N is resolved into vertical component that opposes the weight
and horizontal componenet that gives the centripetal force.
 
Let m is mass of rail compartment, v is speed of rail and R is radius of curvature of track.
 
Hence,  N sinθ = mv2 /R ...................(1)
N cosθ = mg ..................................(2)
 
dividing (1) by (2), we get  tanθ = v2 /(Rg) = (20×20)/(400×10) = 1/10
 
If track width is 1 m and one of the track has to be raised by h m, then tanθ = h/1 = 1/10 
 
hence h = 0.1m = 10 cm
Answered by Thiyagarajan K | 24 Jan, 2019, 10:33: AM
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