The tub of a washer goes into its spin-dry cycle, starting from rest and reaching an angular speed of \(5.0\,\text{rev/s}\) in \(8.0\,\text{s}\). At this point, the person doing the laundry opens the lid, and a safety switch turns off the washer. The tub slows to rest in \(12.0\,\text{s}\). Through how many revolutions does the tub turn during the entire \(20\)-s interval? Assume constant angular acceleration while it is starting and stopping.