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Question 30621
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Circular Motion: Banking — Minimum Speed MCQ

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Banking — Minimum SpeedHardQuestion 30621

Question

On a banked road (θ = 30°, r = 100 m, μ = 0.3, g = 10). Minimum safe speed is approximately:
  1. A
    13.2 m/s
    Correct
  2. B
    7.5 m/s
  3. C
    10 m/s
  4. D
    5.7 m/s

Correct answer

13.2 m/s

Explanation

v_min = √(rg(tanθ−μ)/(1+μtanθ)) = √(1000×(0.577−0.3)/(1+0.3×0.577)) = √(1000×0.277/1.173) ≈ √236 ≈ 15.4 m/s.

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