Practice question
Question
A solid sphere of mass 3kg and radius 0.1m rolls without slipping down an incline. If its linear speed is 5m/s, what is its angular velocity?
Explanation
For rolling without slipping: v = ωr. v = 5m/s, r = 0.1m. ω = vr = 50.1 = 50rad/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 50 rad/s. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.
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