A centrifuge is a common laboratory instrument that separates components of diff
ID: 1731487 • Letter: A
Question
A centrifuge is a common laboratory instrument that separates components of differing densities in solution. This is accomplished by spinning a sample around in a circle with a large angular speed. Suppose that after a centrifuge in a medical laboratory is turned off, it continues to rotate with a constant angular deceleration for 11.0 s before coming to rest. If its initial angular speed was 3840 rpm , what is the magnitude of its angular deceleration? How many revolutions did the centrifuge complete after being turned off?
Explanation / Answer
1)
wi = 3840 rpm
= 3840*2*pi/60 rad/s
= 402.1 rad/s
wf = 0 rad/s
t = 11.0 s
use:
wf = wi + a*t
0 = 402.1 + a*11.0
a = -402.1/11
= -36.6 rad/s^2
Answer: -36.6 rad/s^2
2)
use:
wf^2 = wi^2 + 2*a*d
0 = (402.1)^2 + 2*(-36.6)*d
d = 2209 rad
= 2209 / (2*pi) rev
= 352 revolutions
Answer: 352 revolutions
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