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Rotational Intertia of a rotating Space Station

  1. Jun 21, 2013 #1
    1. The problem statement, all variables and given/known data
    Four rockets attached to a (wheel) space station exert a force of 65.5N to rotate it . The space station's angular velocity is increased at a constant acceleration of 3.63 x 10-3 rads-2. Each rocket is 11.2m away from the centre. Calculate the rotational inertia of the system.

    2. Relevant equations

    τ=Iα , others unknown.

    3. The attempt at a solution
    Torque of all 4 rockets. (65.5N * 11.2) * 4 = 2934.4N
    since τ=Iα, I=τ/α hence I= 2934.4/3.63x10-3 = 808374.7Kgm2

    Can anyone confirm if this is the correct method.

    Thanks.
     
    Last edited: Jun 22, 2013
  2. jcsd
  3. Jun 21, 2013 #2

    SteamKing

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    The units for inertia are wrong. What are the derived units for the Newton? (Hint: F = ma)
     
  4. Jun 22, 2013 #3
    Sorry Kg metres squared?. Other than that does the working look fine? I appreciate the advice.
     
    Last edited: Jun 22, 2013
  5. Jun 22, 2013 #4

    haruspex

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    Not sure, but I think SteamKing may be referring to this item:
    force in N * distance in m gives what units?
    (Your method and answer look ok.)
     
  6. Jun 22, 2013 #5

    SteamKing

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    I missed the torque units. But the units for moment of inertia should be kg-m^2. OP originally had kg-m^-2.
     
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