Linear speed of rolling hollow cylinder

Practice question

Question

A hollow cylinder of mass 3kg and radius 0.8m rolls without slipping with an angular velocity of 6rad/s. What is its linear speed?

Options

Choose one · Correct answer highlighted

4.0 m/s 4.5 m/s 4.8 m/s Correct 5.0 m/s

Explanation

v = ωr. ω = 6rad/s, r = 0.8m. v = 6×0.8 = 4.8m/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 4.8 m/s. This satisfies dimensional consistency and physical conditions given, so option C is scientifically correct.

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