A typical laboratory centrifuge rotates at 4500 rpm. Test tubes have to be place

Question

A typical laboratory centrifuge rotates at 4500 rpm. Test tubes have to be placed into acentrifuge very carefully because of the very large accelerations. (a) What is the acceleration at the end of a test tube thatis 12 cm from the axis ofrotation?
m/s2

(b) For comparison, what is the magnitude of the acceleration atest tube would experience if dropped from a heightof 0.8 m and stopped in a 1.0 mslong encounter with a hard floor?
m/s2
(a) What is the acceleration at the end of a test tube thatis 12 cm from the axis ofrotation?
m/s2

(b) For comparison, what is the magnitude of the acceleration atest tube would experience if dropped from a heightof 0.8 m and stopped in a 1.0 mslong encounter with a hard floor?
m/s2

Explanation / Answer

   a.   Centripetalacceleration      ac   =   r* 2    r   =   12cm   =   0.12   m,      =   angularvelocity   =   4500rpm   =   4500 * 2 /60   =   471   rad/s          ac   =   0.12*4712    =   26620.92   m/s2      =   2.66* 104   m/s2    b.   Third equation of motionis          v2   =   u2   +   2* g * h          v   =   (02   +   2 * 9.8 *0.8)   =   3.96   m/s          acceleration   a   =   (finalvelocity - initial velocity) /time   =   (0 - 3.96) / 1.0 *10-3

            a   =    -3.96 * 103   m/s2       Since - ve signindicates deacceleration, hence it could be dropped.                Since - ve signindicates deacceleration, hence it could be dropped.         

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