Astronauts spend some time training in a centrifuge so they will understand the stresses imposed on them by large accelerations. An astronaut is in a chair that moves in circle of radius $5.00\,m$. One of the forces felt by the astronaut is the centripetal force, which pulls the astronaut towards the center of the circle her body is making.
What angular velocity $\omega$ (in radians per second) must the astronaut experience in order for the centripetal force to be twice her weight?
Take the acceleration due to gravity, $g$, to be $9.81\,m/s^2$.
Write the angular velocity in radians per second to 3 significant figures, but do not write units.