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Question: 92 a donutshaped space station outer radius r arranges for...

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9.2* A donut-shaped space station (outer radius R) arranges for artificial gravity by spinning on the axis of the donut with angular velocity w. Sketch the forces on, and accelerations of, an astronaut standing in the station (a) as seen from an inertial frame outside the station and (b) as seen in the astronauts personal rest frame (which has a centripetal acceleration A ω2R as seen in the inertial Problems for Chapter 9 361 frame). What angular velocity is needed if R- 40 meters and the apparent gravity is to equal the usual value of about 10 m/s2? (c) What is the percentage difference between the perceived g at a six-foot astronauts feet (R 40 m) and at his head (R - 38m)?

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