# Fake gravity

**Classical Mechanics**Level 2

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 \(-9.8~\mbox{m/s}^2\).

**Your answer seems reasonable.**Find out if you're right!

**That seems reasonable.**Find out if you're right!

Already have an account? Log in here.