A centrifuge used in medical labs is a device which can spin a biological sample

Question

A centrifuge used in medical labs is a device which can spin a biological sample so fast that the ingredient of the sample may be separated. For example, plasma and serum will separate when blood samples are placed in a fast spinning tube. If it's known that a test tube of 10 cm long are placed on a centrifuge as shown below. The opening end of the tube is 15 cm away from the rotational center. At a spinning speed of 10, 000 rpm (revolutions per minute), what is the difference of the needed centripetal force per unite mass at the opening of the tube and end of the tube? A droplet of blood has a mass of 0.050g locates at exactly the middle of the test tube. It's known that 20 percent of mass in this drop of blood is serum and assume the rest 80% of mass is plasma. It's also known that the serum and plasma will split in this droplet at a spinning speed larger than 8,000 rpm. What is the force difference between the serum and the plasma at the moment they start to separate?

Explanation / Answer

centipetal force means the force which is always acting towards the ceter.

its formula F=MRW^2

F/m=rw^2

=15*10^-2*10^5*2*3.14/60

=1.57*10^3n/kg

F=MRW^2

=(20/100)*0.050*10^-3*20*10^-2*8000*6.28/60

=.00167N

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