In the film, 2001: A Space Odyssey, astronauts travel through space and experien
ID: 1470744 • Letter: I
Question
In the film, 2001: A Space Odyssey, astronauts travel through space and experience artificial gravity created by a circular spinning space station. In order to experience the same gravitational acceleration as we feel on Earth, a space station spins at 30.5 m/s. How large must the diameter of the space station be in order to create a comfortable Earth-like environment for the astronauts?
How does this compare to the International Space Station (ISS), which has a length of about 70 m, a width of 100 m and a height of 20 m?
Explanation / Answer
Here ,
speed of turning , v = 30.5 m/s
let the diamter is d
as the centripetal acceleration is given as
acceleration = v^2/(d/2)
9.8 = 2 * 30.5^2/d
d = 189.9 m
the diameter of the space station is 189.9 m
this is larger than the ISS
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