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Question

A solid cylinder of mass 4kg and radius 0.2m rolls without slipping with a linear speed of 2m/s. What is its angular velocity?

Options

Choose one · Correct answer highlighted

Explanation

For rolling without slipping: v = ωr. v = 2m/s, r = 0.2m. ω = vr = 20.2 = 10rad/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 10 rad/s. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

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