Practice question
Question
A uniform disk of mass 2kg and radius 0.2m rotates about its center with an angular speed of 10rad/s. What is its rotational kinetic energy?
Explanation
Rotational KE: K = 12Iω2. Moment of inertia of a disk: I = 12MR2 = 12×2×(0.2)2 = 0.04kg m2. K = 12×0.04×(10)2 = 0.02×100 = 2J. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 2 J. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.
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