A super elevation of a railroad track is the number of inches that the outside rail is raised to prevent side thrust on the wheel of flanges of cars rounding the curve at rated speed. Determine the super elevation e for track having a gauge of 4 ft and 8.5 inches of 2000 ft radius and a rated speed of 60 mph. What is the flange pressure P on the wheels of a 100,000 car that rounds the curve at 80 mph?

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Nagella
Answer
e=Gv^2/(gr)
e= (4.7)(88)/[(32.2)(2000)]
e= (0.565ft)(12in/1ft)
e=6.78in