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Homework Help: Centripetal acceleration of rotating cylinders

  1. Jun 30, 2010 #1
    find ω given centripetal acceleration

    1. The problem statement, all variables and given/known data
    It has been suggested that rotating cylinders about 9.0 mi long and 6.4 mi in diameter be placed in space and used as colonies. What angular speed must such a cylinder have so that the centripetal acceleration at its surface equals the free-fall acceleration on Earth?

    2. Relevant equations
    ac = Rω2

    3. The attempt at a solution
    ac=9.8 m/s2
    R= (1/2 (9mi) + 1/2 (6.4mi)) = 7.7mi
    9.8 m/s2= 7.7mi ω2
    ω = 1.13 rad/s
    Last edited: Jun 30, 2010
  2. jcsd
  3. Jun 30, 2010 #2


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    It's 9.8m/s^2 using SI units, or use 32ft/s^2 if using USA units.
    what does the 9 miles have to do with radius? The radius is 3.2 miles.
    Ouch. Watch your units. Convert miles to meters if using a=9.8m/s^2, or convert miles to feet if using a =32ft/s^2.
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