A sample of blood is placed in a centrifuge of radius 15.0 cm. The mass of a red blood cell is 3.0 multiplied by 10-16 kg, and the magnitude of the force acting on it as it settles out of the plasma is 4.0 multiplied by 10-11 N. At how many revolutions per second should the centrifuge be operated?
F = m w^2 r where m is the mass, w the angular velocity in rad/s and r the distance of the sample from the rotation axis
solving for w:
w=sqrt[F/mr]=sqrt[4x10^(-11)N/3x10^(-1… x 0.15m]
w=942.8rad/s = 150.1 rev/s since there are 2 pi radians / revolution