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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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