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Basic Rotational Motion Question?
A sample of blood is placed in a centrifuge of radius 16.0 cm. The mass of a red corpuscle is 3.0 10-16 kg, and the magnitude of the force required to make it settle out of the plasma is 4.0 10-11 N. At how many revolutions per second should the centrifuge be operated?
________rev/s
Centrifugal force is m*ω²*r, where ω is the angular velocity in radians per second. So find ω from
F = m*ω²*r
F = 4.0*10^-11 N
r = 0.16 m
m = 3.0*10^-16 kg
then convert radians per second to revolutions per second by dividing by 2π