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Circular Motion: Banking — Ideal MCQ

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Banking — IdealMediumQuestion 30609

Question

For ideal banking (no friction) of a road with bank angle θ, the speed at which a vehicle can navigate a curve of radius r 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

N sinθ = mv²/r and N cosθ = mg → tanθ = v²/(rg) → v = √(rg tanθ).

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