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

Question

A centrifuge is a device in which a small container ofmaterial is rotated at a high speed on a circular path. Sucha device is used in medical laboratories, for instance, to causemore dense red blood cells to settle through the less dense bloodserum and collect at the bottom of the contatiner. Supposethe centripetal acceleration of the sample is 6.25 *103times larger than the acceleration due to gravity. How manyrevolutions per minute is the sample making, if it is locatedat a radius of 5.00cm from the axis of rotation? answer: 10600rev/min A centrifuge is a device in which a small container ofmaterial is rotated at a high speed on a circular path. Sucha device is used in medical laboratories, for instance, to causemore dense red blood cells to settle through the less dense bloodserum and collect at the bottom of the contatiner. Supposethe centripetal acceleration of the sample is 6.25 *103times larger than the acceleration due to gravity. How manyrevolutions per minute is the sample making, if it is locatedat a radius of 5.00cm from the axis of rotation? answer: 10600rev/min

Explanation / Answer

centripetal acceleration of the sample a = 6.25*103 times larger than the acceleration due togravity
                                                            = 6250 g = 6250*9.8 m / s^ 2 radius r = 5.00cm=0.05 m we know a = r w^2 from this angular speed w = [ a / r ]                                        = 1106.8 rad / s                                        = 1106.8 * ( 1/ 2 ) rev / ( 1/ 60 ) min                                        = 10569.1 rev /min

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