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Question 30248
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Laws of Motion and Friction: Banking of Roads MCQ

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Banking of RoadsHardQuestion 30248

Question

A car goes around a banked road (bank angle θ). For ideal speed v on a curve of radius r, the condition is:
  1. A
    v = √(rg sinθ)
  2. B
    v = √(rg tanθ)
    Correct
  3. C
    v = √(rg cosθ)
  4. D
    v = rg tanθ

Correct answer

v = √(rg tanθ)

Explanation

For ideal banking (no friction), centripetal force is provided by horizontal component of N: tanθ = v²/rg → v = √(rg tanθ).

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