Solid cylinder angular velocity calculation

Practice question

Question

A solid cylinder of mass 6kg and radius 0.3m has an angular momentum of 10.8kg m2/s. What is its angular velocity?

Options

Choose one · Correct answer highlighted

35 rad/s 40 rad/s Correct 45 rad/s 50 rad/s

Explanation

I = 12MR2 = 12×6×(0.3)2 = 0.27kg m2. ω = LI = 10.80.27 = 40rad/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 40 rad/s. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

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