Diagram: http://www.webassign.net/serpop/p10-44.gif Just two question parts I ne

Question

Diagram: http://www.webassign.net/serpop/p10-44.gif

Just two question parts I need help with. I've been gettiing the other two questions right.

(a) Assume the station is initially not rotating, and assume that the entire mass of the space station is concentrated in the outer ring. Also assume that the crew is initially on the outer rim. Rockets on the outside of the outer rim are fired tangentially to get the station spinning up to a speed such that the crew experiences a centripetal acceleration equal to g. What is the total angular momentum of the space station (plus crew) when it is up to maximum speed?

(b) How much work is done to get the space station spinning?

Explanation / Answer

g = w^2R

=> w = Sqrt(g/R)

a) L= I*w = (M1 +M2)*R^2*(Sqrt(g/R))

L= (5.75*10^4 + 300*75)*Sqrt(g*R^3)

Since R = 105 is 105m or 10^5 m is confusing for me, So u can put the value accordingly and get the answer

b) Work done = change in KE = 0.5*I*w^2

= 0.5*(5.75*10^4+300*75)*R^2*g/R

=0.5*(5.75*10^4+300*75)*g*R

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