Two uniform wheels, A and B

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

Problem

Two uniform wheels, A and B, each have the same rotational kinetic energy. Wheel A rotates with an angular speed that is twice that of wheel B. Which of the following correctly compares their rotational inertias IAI_A and IBI_B? (a) IA=IBI_A = I_B (b) IA=12IBI_A = \tfrac{1}{2} I_B (c) IA=14IBI_A = \tfrac{1}{4} I_B (d) IA=4IBI_A = 4 I_B

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