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Question

A frictionless track has a curve of radius 903 m. If the speed limit on this road is 30 m/s, what should be the banking angle for this road to ensure safe driving ? Take g=10 m/s2.
  1. 60
  2. 30
  3. 60
  4. 45


Solution

The correct option is A 60
From the condition of banking for a frictionless circular road: tan θ=v2rg
For v=vmax=30 m/s,
tan θ=302903×10=3
θ=tan1(3)=60
Hence the road should be banked at an angle of 60.

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