Rotational Intertia of a rotating Space Station

AI Thread Summary
The discussion revolves around calculating the rotational inertia of a space station influenced by four rockets exerting a force of 65.5N. The torque generated by the rockets is calculated as 2934.4 N·m, leading to the formula I = τ/α, where α is the angular acceleration of 3.63 x 10^-3 rads^-2. The resulting calculation yields a moment of inertia of 808374.7 kg·m², though there was initial confusion regarding the units. Participants confirm the method is correct, emphasizing that the proper unit for rotational inertia is kg·m².
slingshotnz
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Homework Statement


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.

Homework Equations



τ=Iα , others unknown.

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:
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The units for inertia are wrong. What are the derived units for the Newton? (Hint: F = ma)
 
Sorry Kg metres squared?. Other than that does the working look fine? I appreciate the advice.
 
Last edited:
Not sure, but I think SteamKing may be referring to this item:
slingshotnz said:
Torque of all 4 rockets. (65.5N * 11.2) * 4 = 2934.4N
force in N * distance in m gives what units?
(Your method and answer look ok.)
 
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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