Could anyone please help me figure out how to approach this problem?(adsbygoogle = window.adsbygoogle || []).push({});

Space stations have been proposed to accommodate the surplus population of the Earth. The initial design is for a hollow, uniform, cylindrical space station of diameter 3.15 km, length 10.35 km, and total mass of 1.19 x 10^10 metric tons. The space station is to be spun about the symmetry axis coincident with the axis of the cylindrical shape.

(a) What angular speed of rotation is needed to simulate the magnitude of the local acceleration due to gravity (9.81 m/s2) for objects on the perimeter of the space station?

(b) What is the rotational kinetic energy of the space station?

I beleive that for part (b) i can use the equation KErot = (1/2)*I*(omega)^2 while finding I using I=(1/2)*m*R^2 so with the numbers given I calculate I to be (1/2)*(1.19*10^13 kg)*(1575m)^2 = 1.476*10^19

I still am unsure as to how to calculate part (a), which I need for part (b) as well. The only equation I could find that relates acceleration to angular speed is a=r*(omega)^2 which would give me 9.81 = (1575)*(omega)^2 which gives omega=0.0789 but i don't think this is correct. Could anyone give me a hint as to what equation(s) i need for finding omega (angular acceleration).

Thanks!

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# Homework Help: Angular speed of rotation problem

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