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Railway tracks are banked on curves

  • A.Necessary centrifugal force may be obtained from the horizontal component weight of the train
  • B.To avoid frictional force between the tracks and wheels
  • C.Necessary centripetal force may be obtained from the horizontal component of the weight of the train
  • D.The train may not fly off in the opposite direction

Answer: C

So that the necessary centripetal force is obtained from the horizontal component of the normal reaction.

Banking tilts the reaction inward: \[\tan\theta = \frac{v^2}{rg}\] The rails then do not have to supply the force by pressing sideways on the flanges, which would cause wear and risk derailment.

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