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5. A centrifuge is a common laboratory instrument that separates components of d

ID: 2260348 • Letter: 5

Question

5. 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 10.2 s before coming to
rest.
(i) If its initial angular speed was 3850 rpm, what is the magnitude of its angular deceleration?

(ii) How many revolutions did the centrifuge complete after being turned off?

Explanation / Answer

w = w(initial) + (-a)t, where -a is angular deceleration

w = 0, final angular velocity is zero when centrifuge stops

w(initial) = 3589(2pi/60) = 375.8 radians/sec

w = at, a = w/t = 375.8/2 = 188 rad/s^2

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