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.

Explanation:

a) ω = 9000 rev/min (2π rad/rev) / 60 s/min = 942.47779... = 940 rad/s

b) F = mω²R = 0.010(942.4777²)0.20 = 1,776.52879... = 1800 N

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