. A centrifuge is a scientific device often used in medical laboratories. For ex
ID: 1475736 • Letter: #
Question
. A centrifuge is a scientific device often used in medical laboratories. For example, blood samples are placed in vials that are placed in the centrifuge. The centrifuge then spins around very fast, separating out various components by density. Consider a centrifuge that is rotating at 4000 rpm when it is shut off. Over the course of 10 s, it slows to a stop. (a) What is the angular acceleration? (b) Say it is slowed down by a force being applied to the outer edge of the device. If the moment of inertia of the centrifuge is 0.001 25 kg · m2 , and it has a radius of 5 cm, what is the force required?
Explanation / Answer
w= 4000rpm =4000*2*PI/60=418.88 rad/s, t=10s
a) angular acceleration a =(w2=w1)/t=(0-418.88)/10 =-41.888rad/s^2
b) I=0.00125 kg.m^2, r=0.05m
r*F=I*a=>0.05*F=0.00125 *-41.888 =>F=-1.0472N
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