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Question

A solid cylinder of mass 2kg and radius 0.5m has a kinetic energy of 10J. What is its angular speed?

Options

Choose one · Correct answer highlighted

Explanation

I = 12MR2 = 12×2×(0.5)2 = 0.25kg m2. K = 12Iω2⇒10 = 12×0.25×ω2⇒20 = 0.25ω2⇒ω2 = 80⇒ω = 80≈8.94rad/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 8.94 rad/s. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.