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 10.2 s before coming to rest. If its initial angular speed was 3870 rpm , what is the magnitude of its angular deceleration? How many revolutions did the centrifuge complete after being turned off?

Explanation / Answer

i= 3830 rpm= 401.1 rad/sec apprx

= ( 0 - 401.1)/ 10.2= 39.32 rad/s^2 apprx

= 401.1( 10.2) - 0.5( 39.32)(10.2)^2= 4091.22 - 2045. 4264 = 2045.79 rad apprx

revolutions= 2045.79/ 2= 325.76 apptrx

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