A uniform solid disc of mass and radius has a rotational kinetic energy of

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Energy and Momentum of Rotating Systems · Energy and Momentum of Rotating Systems

Problem

A uniform solid disc of mass 2.0 kg2.0\,\text{kg} and radius 0.15 m0.15\,\text{m} has a rotational kinetic energy of 18 J18\,\text{J}. Calculate the disc’s angular speed. Would a thin hoop of the same mass and radius, but with the same rotational kinetic energy, spin faster or slower? State “faster” or “slower” and briefly justify your answer.

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