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Rigid Body Dynamics: Torque and Angular Acceleration MCQ

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Torque and Angular AccelerationMediumQuestion 30326

Question

A uniform disc (mass 2 kg, radius 0.3 m) has a rope wound around its edge. A 6 N tension is applied. Angular acceleration is:
  1. A
    10 rad/s²
  2. B
    20 rad/s²
    Correct
  3. C
    5 rad/s²
  4. D
    15 rad/s²

Correct answer

20 rad/s²

Explanation

I_disc = ½MR² = ½×2×0.09 = 0.09 kg·m². τ = F×R = 6×0.3 = 1.8 N·m. α = τ/I = 1.8/0.09 = 20 rad/s².

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