Math  /  Algebra

QuestionA net force F1F_{1} is exerted tangentially to the outside of a uniform disk of rotational inertia I1I_{1} over an angular displacement of Δθ1\Delta \theta_{1}, causing the disk to gain rotational kinetic energy ΔK1\Delta K_{1}. The same net force is then exerted tangentially to the outside of a second uniform disk over the same angular displacement, causing the second disk to gain rotational kinetic energy ΔK2\Delta K_{2}. The second disk has the same radius as the first disk, but with rotational inertia I2=2I1I_{2}=2 I_{1}. Which of the following is equal to the ratio ΔK1:ΔK2\Delta K_{1}: \Delta K_{2} (A) 2:12: 1 (B) 1:11: 1 (C) 1:21: 2
D The ratio cannot be determined without knowing the relative masses of the disks.

Studdy Solution
The ratio ΔK1:ΔK2\Delta K_1 : \Delta K_2 is **1:1**, which corresponds to answer choice (B).

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