Linear speed of a rolling solid sphere

Practice question

Question

A solid sphere of mass 2kg and radius 0.3m rolls without slipping with an angular velocity of 10rad/s. What is its linear speed?

Options

Choose one · Correct answer highlighted

2.5 m/s 3.0 m/s Correct 3.5 m/s 4.0 m/s

Explanation

v = ωr. ω = 10rad/s, r = 0.3m. v = 10×0.3 = 3m/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 3.0 m/s. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

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