Linear speed of rolling solid cylinder calculation

Practice question

Question

A solid cylinder of mass 6kg and radius 0.5m rolls without slipping with an angular velocity of 4rad/s. What is its linear speed?

Options

Choose one · Correct answer highlighted

1.5 m/s 2.0 m/s Correct 2.5 m/s 3.0 m/s

Explanation

v = ωr. ω = 4rad/s, r = 0.5m. v = 4×0.5 = 2m/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 2.0 m/s. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

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