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

Question

A centrifuge is a common laboratory instrument that separates components of differing densities in solution. This is accomplished by spinning a 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 10.9 s before coming to rest. If its initial angular speed was 3871 rpm, what is the magnitude of its angular deceleration? Give answer in rev/s^2. Do not enter unit. How many revolutions did the centrifuge complete after being turned off? Do not enter unit.

Explanation / Answer

(a)
If d rev/sec^2 is the angular deceleration, then:
0 = 3871 / 60 - d * 10.9
d = 3871 / (60 * 10.9)
= 5.92 rev/sec^2.

(b)
If n is the number of revolutions, then:
n = (10.9 / 2)(3871 / 60 + 0)
= 351.61 rev.

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