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:
Let's start with the initial angular speed,
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