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 10.8 s before coming to rest. If its initial angular speed was 3538 rpm, what is the magnitude of its angular deceleration? Give answer in rev/s. Do not enter unit. Submit Answer Tries 0/8 How many revolutions did the centrifuge complete after being turned off? Do not enter unit.

Explanation / Answer

given
wi = 3538 rpm

= 3538*2*pi/60

= 370.5 rad/s

wf = 0

t = 10.8 s

angular deccelartion, alfa = (wf - wi)/t

= (0 - 370.5)/10.8

= -34.3 rad/s^2

= -34.3/(2*pi) rev/s^2

= -5.46 rev/s^2

angular displacement, theta = wi*t + (1/2)*alfa*t^2

= 370.5*10.8 + (1/2)*(-34.3)*10.8^2

= 2001 radians

= 2001/(2*pi)

= 318 revolutions

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