Watch the following scene from the film 2001: A Space Odyssey. Assuming the astronaut in the scene is approximately 6 ft tall, estimate the rotation rate of the spacecraft necessary to create 1g (9.8 m/s^2) of centripetal force on its floor. Calculate the centripetal force if he runs at 10% of the rotation speed with or counter to the spacecraft rotation. What is the centripetal force at the axis of rotation? Comment on the physiological effects of this kind of artificial gravity.