The tub of a washer goes into its spin cycle, starting from rest and gaining angular speed steadily for $$8.00\ s$$, at which time it is turning at $$5.00\ rev/s$$. At this point, the person doing the laundry opens the lid, and a safety switch turns off the washer. The tub smoothly slows to rest in $$12.0\ s$$. Through how many revolutions does the tub turn while it is in motion?