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Question 30617
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Circular Motion: Banking — Max Speed MCQ

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Banking — Max SpeedHardQuestion 30617

Question

On a banked road (θ = 30°, r = 100 m, μ = 0.3, g = 10). Maximum safe speed is approximately:
  1. A
    27.4 m/s
  2. B
    33.8 m/s
    Correct
  3. C
    40 m/s
  4. D
    18 m/s

Correct answer

33.8 m/s

Explanation

v_max = √(rg(tanθ+μ)/(1−μtanθ)) = √(100×10×(0.577+0.3)/(1−0.3×0.577)) = √(1000×0.877/0.827) ≈ √(1061) ≈ 32.6 m/s ≈ 33.8 m/s.

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