Acentrifuge in a medical laboratory rotates at an angular speed of 3,650 rev/min. when switched off, it rotates through 48.0 revolutions before coming to rest. find the constant angular acceleration (in rad/s2) of the centrifuge.

First of all we need to convert everything into SI units.

Let's start with the initial angular speed, . Keeping in mind that


we have


And we should also convert the angle covered by the centrifuge:


This is the angle covered by the centrifuge before it stops, so its final angular speed is .

To solve the problem we can use the equivalent of

of an uniformly accelerated motion but for a rotational motion. It will be

And by substituting the numbers, we can find the value of , the angular acceleration: