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

ID: 1486473 • Letter: A

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 24.5 s before coming to rest. (a) If its initial angular speed was 4610 rpm, what is the magnitude of its angular deceleration?

3.1360 Correct: Your answer is correct. rev/s2

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

1882.4167 Incorrect: Your answer is incorrect. Your response differs from the correct answer by more than 100%. rev

Explanation / Answer

b)
wi = 4610 rpm
= 4610 rev/ 60 s
=76.83 rev/s

wf = 0
a = -3.1360 rev/s^2 (from part a)

use:
wf^2 = wi^2 + 2*a*d
0 = (76.83)^2 + 2* (-3.1360)*d
d= 941.2 rev

Answer: 941.2 rev

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