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Conversion Question

  1. Jun 2, 2007 #1
    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 16.7 s before coming to rest.


    (a) If its initial angular speed was 3170 rpm, what is the magnitude of its angular deceleration?
    rev/s2



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


    I believe I have found the answer in radians/s^2 and radians and was wondering how to convert them to rev/s^2 and revs.

    Below is my work:

    (a) 3170 x 2pi/60 x 1/16.7 = -19.8779 radians/s^2


    (b) (1/2)(3170 x 2pi/60) x 16.7 = 2771.877 radians
     
  2. jcsd
  3. Jun 2, 2007 #2
    There are 2pi radians in one revolution. This should be all you need to convert.

    Also, note that part (a) calls for the magnitude of the angular acceleration; thus, a sign (+ or -) is not needed.
     
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