Imagine a ring like space station with half a mile diameter. (a) What is the ang

Question

Imagine a ring like space station with half a mile diameter. (a) What is the angular speed of the space station if an Earth like artificial gravity (g = 9.81 m/s^2) is created? How long is the space station's "day and night"? (b) Do you expect that effects of Coriolis acceleration will be noticeable? For example consider constant average walking speed of 1.3 m/s and assume that human body orientation will automatically adjust to sum of centripetal and Coriolis acceleration terms. By which angle will two persons be misaligned (in terms of their understanding of what is vertical direction) if one is walking inward (r decreases) and one outward (r increases) with average walking speed? (c) EXTRA CREDIT Describe geometry of settlement on Moon's surface that can also recreate Earth like artificial gravity (g = 9.81 m/s^2).

Explanation / Answer

a) angular speed = 4 * 3.5 * 10/1609.34

                             = 0.087 rad/s

   space station day night length = 2 * 3.14/0.087

                                                   = 72.18 s

b) No, effects of Coriolis acceleration will not be noticeable .

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