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A centrifuge is a common laboratory instrument that separates components of diff

ID: 1292255 • 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 11.1 s before coming to rest.

A. If its initial angular speed was 3961 rpm, what is the magnitude of its angular deceleration? Give answer in rev/s2.

B. How many revolutions did the centrifuge complete after being turned off?

Explanation / Answer

t = 11.1 sec

w1 = 3961 rpm = 66.02 rev/s

w2 = 0

w2 = w1 - alpha*t

alpha = 66.02/11.1

= 5.947 rev/s2

0 = w1^2 - 2*alpha*s

s = 366.42 rev

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