A centrifuge is a device in which a small container of materialis rotated at a h

Question

A centrifuge is a device in which a small container of materialis rotated at a high speed on a circular path. Such a device isused in medical laboratories, for instance, to cause the more densered blood cells to settle through the less dense blood serum andcollect at the bottom of the container. Suppose the centripetalacceleration of the sample is 7.79 x 103 times as largeas the acceleration due to gravity. How many revolutions per minuteis the sample making, if it is located at a radius of 2.19 cm fromthe axis of rotation?

Explanation / Answer

radius r = 2.19 cm =0.0219 m Accleration a = r w ^ 2 = 7.79*10 ^ 3 * g                                      =7.79* 10 ^ 3 * 9.8                                     =76.342 * 10 ^ 3 from this angular speed w = [ 76.342* 10 ^ 3 / r]                                         =1867 rad / s                                        = 1867 * ( 1/2 ) rev / ( 1/ 60 ) min                                        = 17829.16 rev / min

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