The corotation radius of a (Milky Way) bar is the radius at which the angular speed of the bar is equal to the local angular speed of stars on circular orbits. By convention, a bar is said to be fast if the ratio of corotation radius/bar radius is in the range 1.0 to 1.4. Assuming that the bar of the Milky Way is 5 kpc long, and the Milky Way has a constant circular velocity of 200 km/s, calculate the range of angular velocities for the bar to be fast.