In order to produce artificial gravity a large cylindrical space station is spinning in space. If the radius of the space station is 70 m, with what angular velocity should the space station spin in order to provide a gravitational acceleration for the occupants of 9.81 m s -2? If the mass of the space station is 60 tonnes, what is the kinetic energy of the spinning space station?

The space between two 15-in.-long concentric cylinders is filled with glycerin (viscosity = 8.5 × 10-3 lb·s/ft2). the inner cylinder has a radius of 1 in. and the gap width between cylinders is 0.1 in. determine (a) the torque and (b) the power required to rotate the inner cylinder at 180 rev/min. the outer cylinder is fixed. assume the velocity distribution in the gap to be linear.