A centrifuge is a common laboratory instrument that separatescomponents of diffe

Question

A centrifuge is a common laboratory instrument that separatescomponents of differing densities in solution. This is accomplishedby spinning a sample around in a circle with a large angular speed.Suppose that after a centrifuge in a medical laboratory is turnedoff it continues to rotate with a constant angular deceleration for13.7 s before coming to rest.

(a) If its initial angular speed was 3390 rpm, what is the magnitude of its angulardeceleration?
1 rev/s2
(b) How many revolutions did the centrifuge complete after beingturned off?
2 rev

Explanation / Answer

Initial angular speed w = 3390 rev/ min                                   = 3390 rev / 60 s                                   = 56.5 rev / s time t= 13.7 s final angular speed w ' = 0 (a)./ from the relation w ' = w + t Angular accleration = [ w ' - w ] / t                                 =- 4.124 rev / s ^ 2 (b). from the relation w ' ^ 2 - w ^ 2 = 2 angular displacement   = [ w ' ^ 2 - w ^ 2 ]/ 2                                     = 387.025 rev SO, No.of revolutions = 387.025

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