Centrifuges are commonly used in biological laboratories forthe isolation and ma

Question

Centrifuges are commonly used in biological laboratories forthe isolation and maintenance of cell preparations. For cellseparation, the centrifugation conditions are typically 1.0 x103 rpm using an 8.0 cm radius rotor. a) What is the radial acceleration of material in thecentrifuge under these conditions? Express your answer as amultiple of g. b) At 1.0 x 103 rpm (and with a 8.0 cm rotor), whatis the net force on a red blood cell whose mass is 9.0 x10-14 kg? c) What is the net force on a virus particle of mass 5.0 x10-21 kg under the same conditions? d) To pellet out virus particles and even to separate largemolecules such as proteins, super high speed centrifuges calledultracentrifuges are used in which the rotor spins in a vacuum toreduce heating due to friction. What is the radial accelerationinside an ultracentrifuge at 75000 rpm with an 8.0 cm rotor?Express your answer as a multiple of g. Centrifuges are commonly used in biological laboratories forthe isolation and maintenance of cell preparations. For cellseparation, the centrifugation conditions are typically 1.0 x103 rpm using an 8.0 cm radius rotor. a) What is the radial acceleration of material in thecentrifuge under these conditions? Express your answer as amultiple of g. b) At 1.0 x 103 rpm (and with a 8.0 cm rotor), whatis the net force on a red blood cell whose mass is 9.0 x10-14 kg? c) What is the net force on a virus particle of mass 5.0 x10-21 kg under the same conditions? d) To pellet out virus particles and even to separate largemolecules such as proteins, super high speed centrifuges calledultracentrifuges are used in which the rotor spins in a vacuum toreduce heating due to friction. What is the radial accelerationinside an ultracentrifuge at 75000 rpm with an 8.0 cm rotor?Express your answer as a multiple of g.

Explanation / Answer

a. What is the radial acceleration ofmaterial in the centrifuge under theseconditions?

Express your answer in terms ofg.

a= g2r= 1.00 ×1032^ rad

60 s

2 8.00cm = 877. m

s 2

b. At1.00 ×103rpm, (and witha 8.00cm rotor), what is the netforce on a red blood cell whose

mass is 9.0× 10?14 kg?

F= ma = 9.0× 10?14 kg877. m

s 2 = 7. 89 ×10?11N

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