A centrifuge is a common laboratory instrument that separates components of diff
ID: 1469798 • 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 10.5 s before coming to rest.
If its initial angular speed was 3860 rpm , what is the magnitude of its angular deceleration?
How many revolutions did the centrifuge complete after being turned off?
Explanation / Answer
initial angular speed w1=3860 rev/min
time t=10.5 sec
a)
final angular speed is w2
w2=w1+alpa*t
0=3860*(2pi/60)+alpa*(10.5)
====> alpa=-38.5 rad/sec
angular deceleration, alpa=-38.5 rad/sec
b)
angular displacement, theta=w1*t+1/2*alpa*t^2
theta=3860*(2pi/60)*(10.5)+1/2*(-38.5)*(10.5)^2
theta=2121.98 rad
or
theta=2121.98/(2pi)
theta=337.72 rev
no of revolutions, theta=337.72 rev
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