A centrifuge consists of a container held at a distance of 0.20 m from its axis. When turned on, the centrifuge spins the container and its contents round at 9000 revolutions per minute. a) Find its angular velocity. b) A small mass of 10 g is placed in the drum. Work out what force will need to be provided for it to go round at that rate in a circle of radius 0.20 m. c) In which direction must that force act? d) what supplies that force to the ball? e) taking g to be 9.8N/kg, what size force will the earth supply to the ball when it is at rest on the floor?