An extruder has a barrel with an inside diameter of 30 mm and rotates at 50 rpm (for simplicity, assume that the barrel rotates). The screw has a channel depth of 4 mm, a channel width of 20 mm, and a flight angle of 18 degrees. The pumping section of the screw is 1.25 m long, and is used to extrude a flat polyethylene sheet. When melted, the polyethylene has a viscosity of 80 N-s/m2 . The die has a thickness of 2 mm, a width of 75 mm and is 25 mm long. In other words, the resulting sheet is 2 mm thick and 75 mm wide. Determine the speed of the sheet through the die