and the wheel stopped in , so . The braking was "steady" which I will take to mean that the angular acceleration was constant. We wish to know what angle the wheel rotated through during this time period, so I'm going to set .

One way to do this is to use:

to find the then use:

to find .

The more direct way is to use:

Now we need to find out how many revolutions this is. This is a simple unit conversion: there are for every revolution. Thus:

So the answer is about 240 revolutions.

-Dan