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 astronaut's personal rest frame (which has a centripetal acceleration A = w²R 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 astronaut's feet (R = 40 m) and at his head (R = 38 m)?

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 astronaut's personal rest frame (which has a centripetal acceleration A = w²R 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 astronaut's feet (R = 40 m) and at his head (R = 38 m)?

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter11: Angular Momentum

Section: Chapter Questions

Problem 70P: The centrifuge at NASA Ames Research Center has a radius of 8.8 m and can produce farces on its...

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