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 16.5 s before coming to rest. (a) If its initial angular speed was 2970 rpm, what is the magnitude of its angular deceleration? (b) How many revolutions did the centrifuge complete after being turned off?

Explanation / Answer

u = 2970 rpm = 311 rad /s t = 16.5 s v = u + at ...so....0 = 311 + a*16.5 a = -18.85 rad / sec^2.... magnitde of angular deceleration = 18.85 rad / s^2 s = ut + 0.5 at^2 = 2565 radians...= 408 revolutions..

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