Bank the ra!l

Classical Mechanics Level 2

At what angle (in degrees) must a railway track with a 300 m radius be banked for safe running of trains at a speed of 90 km/h?


The answer is 12.

Vivek Vijayan by vivek vijayan , 26, India

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1 solution

Vivek Vijayan
Apr 11, 2014

r = 300 r=300 m and v = 25 v=25 m/s

We know the tangent of the banking angle= tan ⁡ θ = v 2 r g = 25 2 300 ∗ 9.8 \tan\theta = \frac { { v }^{ 2 } }{ rg } = \frac { { 25 }^{ 2 } }{ 300*9.8 } so θ = tan ⁡ − 1 . 2126 = 12 \theta =\tan ^{ -1 }{ .2126 }=12 .

2 Helpful 0 Interesting 0 Brilliant 0 Confused

Any explanation for the expression you used to compute the tangent of the angle? I could thank you a lot

Carlos David Nexans - 6 years, 10 months ago

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