Question

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 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?

take g=-9.8m/s^2

Answer 1

ma=mω²R,
ω=sqrt(a/R) =
=sqrt(g/R) =
=sqrt(9.8/100)=0.313 rad/s

Answer 2

please confirm the answer if it's correct

Answer 3

Yeah it is !