Consider an astronaut on a rotating space station, of outer radius R and inner radius K', far from the earth as depicted in the figure above. The outer edge of the space station rotates with a speed vs. (a) How long is one rotation of the space station? (b) If the astronaut of mass, m, gets on a scale, what does it read? (c) If the astronaut moves to a point closer apparent to the center of the station, R' (perhaps via an elevator as shown), does their weight increase, decrease, or stay the same? Why?

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter10: Motion In A Noninertial Reference Frame
Section: Chapter Questions
Problem 10.12P
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Consider an astronaut on a rotating space station, of outer radius R and inner radius K',
far from the earth as depicted in the figure above. The outer edge of the space station rotates
with a speed vs. (a) How long is one rotation of the space station? (b) If the astronaut of
mass, m, gets on a scale, what does it read? (c) If the astronaut moves to a point closer
apparent
to the center of the station, R' (perhaps via an elevator as shown), does their
weight increase, decrease, or stay the same? Why?
Transcribed Image Text:Consider an astronaut on a rotating space station, of outer radius R and inner radius K', far from the earth as depicted in the figure above. The outer edge of the space station rotates with a speed vs. (a) How long is one rotation of the space station? (b) If the astronaut of mass, m, gets on a scale, what does it read? (c) If the astronaut moves to a point closer apparent to the center of the station, R' (perhaps via an elevator as shown), does their weight increase, decrease, or stay the same? Why?
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