Centrifuges are commonly used in biological laboratories for the isolation and maintenance of cell preparations. For cell separation, the centrifugation conditions are typically 1.0 × 103 rpm using an 8.0-cm-radius rotor.
(a) What is the radial acceleration of material in the centrifuge under these conditions? Express your answer as a multiple of g.
(b) At 1.0 × 103 rpm (and with a 8.0-cm rotor), what is the net force on a red blood cell whose mass is 9.0 × 10−14 kg?
(c) What is the net force on a virus particle of mass 5.0 × 10−21 kg under the same conditions?
(d) To pellet out virus particles and even to separate large molecules such as proteins, super high speed centrifuges called ultracentrifuges are used in which the rotor spins in a vacuum to reduce heating due to friction. What is the radial acceleration inside an ultracentrifuge at 75 000 rpm with an 8.0-cm rotor? Express your answer as a multiple of g.