A centrifuge is used to separate liquids according to their densities using centrifugal fo...

A centrifuge is used to separate liquids according to their densities using centrifugal force. Figure illustrates one arm of a centrifuge having a bucket at its end to hold the liquid. In operation, the bucket and the liquid have a mass of 0.40 kg. The centrifugal force has the magnitude in newtons of

F = 0.01097 -m-R-n2

where m = rotating mass of bucket and liquid (kg)

R = radius to center of mass (meters) n — rotational speed (rpm) The centrifugal force places the pin holding the bucket in direct shear. Compute the stress in the pin due to a rotational speed of 3000 rpm. Then, specify a suitable steel for the pin, considering the load to be repeated.

Figure:

                                          

FIGURE Centrifuge for Problem.