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FMA-2016-18 · 2016 F = ma (AAPT)

2016 F = ma Exam — Question 18

A spinning object begins from rest and accelerates to an angular velocity of ω = π/15 rad/s with an angular acceleration of α = π/75 rad/s2. It remains spinning at that constant angular velocity and then stops with an angular acceleration of the same magnitude as it previously accelerated. The object made a total of 3 complete rotations during the entire motion. How much time did the motion take?
Source: Question 18, 2016 F = ma Exam, © 2016 American Association of Physics Teachers (AAPT) and the U.S. Physics Team. Adapted by PhysicsTrainer: reformatted into a separate question and answer choices for online multiple-choice practice; any shared setup from nearby questions is repeated here. Not affiliated with or endorsed by AAPT or the U.S. Physics Team.