Fake gravity

Our muscles atrophy when there is no gravitational force. On long space flights this is a problem, which is why astronauts exercise. On very long space flights it might be advisable to simulate gravity. Your space ship is a long cylinder of radius \(100~\mbox{m}\) that spins about its axis. What angular velocity in rad/s for the spin is needed so that the force felt by a person standing on the rim of the cylinder matches the force of gravity felt on Earth?

Details and assumptions

  • The acceleration of gravity on earth is \(-9.8~\mbox{m/s}^2\).
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