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 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 10.7 s before coming to rest. Part A If its initial angular speed was 3840 rpm, what is the magnitude of its angular deceleration? Part B How many revolutions did the centrifuge complete after being turned off?

Explanation / Answer

Part A:

Suppose, d rev/sec^2 is the angular deceleration, then we have:

0 = 3840 / 60 - d * 10.7
=> d = 3840 / (60 * 10.7)
=> d = 5.98 rev/sec^2.

Part B:
Again, consider n is the number of revolutions, then:
n = (10.7 / 2)(3840 / 60 + 0)
=> n = 342.4 rev.

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