Rotation of cylindrical habitat in space?

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SUMMARY

The discussion centers on G.K. O'Neill's 1974 proposal for a cylindrical habitat in space, specifically focusing on calculating the rotation speed required to simulate Earth's gravitational field. The cylindrical habitat has a diameter of 6.07 km and a length of 30 km, rotating about its long axis. The participant calculated the angular frequency using the formula rw² = 9.8, resulting in a frequency of approximately 0.009043859 revolutions per second. The calculation is correct, but the participant is encouraged to verify unit consistency throughout the process.

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  • Understanding of angular velocity and frequency calculations
  • Familiarity with gravitational force equations
  • Basic knowledge of cylindrical geometry
  • Ability to perform unit conversions in physics
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  • Research the physics of artificial gravity in rotating systems
  • Explore advanced calculations for centrifugal force in cylindrical habitats
  • Learn about the implications of habitat design on human physiology in space
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Aerospace engineers, physicists, space habitat designers, and anyone interested in the practical applications of rotational physics in space environments.

tubworld
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I have this question on this article by G.K. O'Neill,1974. who proposed having a cylindrical habitat in space. Then the article posed a question asking me to ponder on the speed of the rotation of the cylinder such that it wld imitate Earth's gravitational field at the walls of the cylinder given that it is 6.07 km in diameter and 30km long. It rotates abt its long axis. My working is as follows but am unsure if I am right cos I don't seem to use the information on the length of the cylinder.

radius = 6.07/2km
Since rw^2 = 9.8, and w = 2PI * f, where w=angular velocity and f=frequency,

we solve for f to get the ans.

From what I have the ans for f is 0.009043859 rev/s . am i right? If not any hints? Cos i don't seem to get the ans.
 
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