Engineers and science fiction writers have proposed designing space stations in the shape of a rotating wheel or ring, which would allow astronauts to experience a se of artificial gravity when walking along the inner wall of the station's outer rim. (a) Imagine one such station with a diameter of 127 m, where the apparent gravity is 3.60 m/s² at the outer rim. How fast is the station rotating in revolutions per minute? rev/min (b) What If? How fast would the space station have to rotate, in revolutions per minute, for the artificial gravity that is produced to equal that at the surface of the Earth, 9.80 m/s2 rev/min

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter5: More Applications Of Newton’s Laws
Section: Chapter Questions
Problem 49P: A space station, in the form of a wheel 120 m in diameter, rotates to provide an artificial gravity...
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Engineers and science fiction writers have proposed designing space stations in the shape of a rotating wheel or ring, which would allow astronauts to experience a sort
of artificial gravity when walking along the inner wall of the station's outer rim.
(a) Imagine one such station with a diameter of 127 m, where the apparent gravity is 3.60 m/s² at the outer rim. How fast is the station rotating in revolutions per
minute?
rev/min
(b) What If? How fast would the space station have to rotate, in revolutions per minute, for the artificial gravity that is produced to equal that at the surface of the
Earth, 9.80 m/s?
rev/min
Transcribed Image Text:Engineers and science fiction writers have proposed designing space stations in the shape of a rotating wheel or ring, which would allow astronauts to experience a sort of artificial gravity when walking along the inner wall of the station's outer rim. (a) Imagine one such station with a diameter of 127 m, where the apparent gravity is 3.60 m/s² at the outer rim. How fast is the station rotating in revolutions per minute? rev/min (b) What If? How fast would the space station have to rotate, in revolutions per minute, for the artificial gravity that is produced to equal that at the surface of the Earth, 9.80 m/s? rev/min
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