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Question

A solid cylinder of mass 3kg and radius 0.1m has a kinetic energy of 4.5J. What is its angular speed?

Options

Choose one · Correct answer highlighted

Explanation

I = 12MR2 = 12×3×(0.1)2 = 0.015kg m2. K = 12Iω2⇒4.5 = 12×0.015×ω2⇒9 = 0.015ω2⇒ω2 = 600⇒ω = 600≈24.5rad/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 24.5 rad/s. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.