Question

Centripetal force question?!

A centrifuge is a device that is sued to settle out solid particles dispersed in a liquid. One centrifuge is of radius 14.0 cm and spins 105 times each minute. Determine the period of its motion and find the magnitude of the centripetal acceleration acting at the end of the 14.0 cm length.

Answer 1

Please see the explanation below

Explanation:

The radius is `r=14cm=0.14m`

The rotation is `n=105mn^-1`

The angular velocity is

`omega=105*2pi/60=11rads^-1`

The period is

`T=(2*pi)/omega=(2*pi)/11=0.57s`

The centripetal acceleration is

`a_N=romega^2=0.14*11^2=16.94rads^-1`