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Question

A solid cylinder of mass 4kg and radius 0.5m has a kinetic energy of 50J. What is its angular speed?

Options

Choose one · Correct answer highlighted

Explanation

I = 12MR2 = 12×4×(0.5)2 = 0.5kg m2. K = 12Iω2⇒50 = 12×0.5×ω2⇒100 = 0.5ω2⇒ω2 = 200⇒ω = 200≈14.14rad/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 14 rad/s. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.