A centrifuge in a medical laboratory rotates at a rotational speed of 3600 rev/min, When switched off, it rotates 50.0 times at a constant angular acceleration before coming to rest. a) Determine the...

A centrifuge in a medical laboratory rotates at a rotational speed of 3600 rev/min, When switched off, it rotates 50.0 times at a constant angular acceleration before coming to rest.

a) Determine the initial angular speed of the centrifuge.

b) Determine the angle (in radians) through which the centrifuge rotates  before coming to rest.

c) Calculate the constant angular acceleration of the centrifuge.

d) Calculate the time necessary for the centrifuge to come to rest.

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valentin68 | Certified Educator

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a) The initial angular speed is simply

`omega_0 = 2*pi*F =2*pi*3600 rad/min =2*pi*3600/60 (rad)/(sec)=`

` =120*pi (rad)/(sec) ~~377 (rad)/(sec)`

The initial angular speed is `120*pi` rad/sec

b)

The centrifuge does 50 complete rotations before it stops. One complete rotation means an angle of `2*pi`...

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