- #1
Brocoly
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Homework Statement
A space station shaped like a giant wheel has a radius 95.0 m and a moment of inertia of 5.03✕ 10^8 kg · m2. A crew of 150 lives on the rim, and the station is rotating so that the crew experiences an apparent acceleration of 1g. When 100 people move to the center of the station for a union meeting, the angular speed changes. What acceleration is experienced by the managers remaining at the rim? Assume that the average mass of each inhabitant is 65.0 kg.
Homework Equations
ac=rw^2
L=I1w1=I2w2
I=mr^2
The Attempt at a Solution
w1=sqrt(9.81/95)=0.32135
mass of station= I1/r^2 - Mass of people=45984kg
I2=(45984+(50)(65))r^2=4.44*10^8
w2=I1w1/I2=0.36
ac=r(0.36^2)=[12.3]
but this doesn't seem to be the right answer.
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