nloadable eTextbook FULL SCREEN PRINTER VERSION BACK Chapter 05, Problem 11 A ce

Question

nloadable eTextbook FULL SCREEN PRINTER VERSION BACK Chapter 05, Problem 11 A centrifuge is a device in which a small times as large as the acceleration due to gravity. How many revolutions per minute is the container of material is rotated at a high speed on a circular path. Such a device is used in medical laboratories, for more dense red blood cells to settle through the less dense blood serum and collect t the bnton of h contu f serum and collect at the bottom of the container. Suppose the centripetal acceleration of the fr the ais of rotationi sample making. if it is located at a radius of 2.09 cm from the axis of rotation? Number The number of significant digits is set to 3; the tolerance is +/-3% Click if you would like to Show Work for this question: een Shon. Wark Units By accessing this Question Assistance, you will learn while you earn points based on the Point Potential Policy set by your instructor

Explanation / Answer

Given,

ac = 5.93 x 10^3 g ; r = 2.09 cm

we need to find the frequency of revolutions

We know that,

ac = v^2/R => v = sqrt (ac R)

ac = 5.93 x 10^3 x 9.81 = 5.82 x 10^4 m/s^2

v = sqrt (5.82 x 10^4 x 0.0209) = 34.868 m/s

We know that,

v = d/t = 2 pi R/t

t = 2 pi R/v = 2 x 3.14 x 0.0209/34.868 = 0.0038 s

t = 0.0038 s = 6.33 x 10^-5 min

f = 1/t = 1/6.33 x 10^-5 = 1.578 x 10^4 Rev/min

Hence, f = 1.578 x 10^4 rev/min

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