The angular speed of a rotor in a centrifuge increases from 421 to 1580 rad/s in...
The angular speed of a rotor in a centrifuge increases from 421 to 1580 rad/s in a time of 4.17 s. (a) Obtain the angle through which the rotor turns. (b) What is the magnitude of the angular acceleration?
Homework Answers
Given initial angular speed 
, angular speed after time 
is 
.
Assuming the angular acceleration is uniform, then the angular
acceleration is given by
We get 
Since the angular acceleration is uniform throughout the motion, the motion is governed by kinematic equations. To find the angle through which the rotor turns we use
Solving for 
Substituting the values, we get 
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