Hollow cylinder rolling without slipping: linear speed problem

Practice question

Question

A hollow cylinder of mass 5kg and radius 0.4m rolls without slipping with an angular velocity of 8rad/s. What is its linear speed?

Options

Choose one · Correct answer highlighted

2.8 m/s 3.2 m/s Correct 3.6 m/s 4.0 m/s

Explanation

v = ωr. ω = 8rad/s, r = 0.4m. v = 8×0.4 = 3.2m/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 3.2 m/s. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

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