<p>Uh..yea. I figure this is the best place to get some physics help since MIT people are usually geniuses...=).</p>
<p>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 2.85 km, length 9.15 km, and total mass of 1.27 x 1010 metric tons. The space station is to be spun about the symmetry axis coincident with the axis of the cylindrical shape.</p>
<p>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?</p>
<p>I am gonna be a freshman this fall, and I think the solution to your problem is that the normal reaction on an object standing on the periphery should equal its mass times g ie. m*9.81</p>
<p>Just consider the smooth manifold induced by the local gravitational field of the inhabitants' earwax, and compute the equation of a generic geodesic on this manifold.</p>