A centrifuge is a device in which a small container of material isrotated at a h

Question

A centrifuge is a device in which a small container of material isrotated at a high speed on a circular path. Such a device is usedin medical laboratories, for instance, to cause the more dense redblood cells to settle through the less dense blood serum andcollect at the bottom of the container. Suppose the centripetalacceleration of the sample is 3.41 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 8.00 cm fromthe axis of rotation?

Explanation / Answer

Given that        ar = 3.41 x103* g  = 33.418 x 103m/s2        r = 8.00 cm = 0.08m We know that centrepetal acceleration ar =2*r             = ar / r                    = (33.418 x 103 m/s2 / 0.08 m)                    = 646.31rad / s                     =646.31 * 0.159 rev /s = 102.76 rev /s        r = 8.00 cm = 0.08m We know that centrepetal acceleration ar =2*r             = ar / r                    = (33.418 x 103 m/s2 / 0.08 m)                    = 646.31rad / s                     =646.31 * 0.159 rev /s = 102.76 rev /s

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