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FMA-2014-20 · 2014 F = ma (AAPT)

2014 F = ma Exam — Question 20

20. A crew of scientists has built a new space station. The space station is shaped like a wheel of radius R, with essentially all its mass M at the rim. When the crew arrives, the station will be set rotating at a rate that causes an object at the rim to have radial acceleration g, thereby simulating Earth’s surface gravity. This is accomplished by two small rockets, each with thrust T newtons, mounted on the station’s rim. How long a time t does one need to fire the rockets to achieve the desired condition? gR3 M/(2T)
Source: Question 20, 2014 F = ma Exam, © 2014 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.