2. A piston moves with constant velocity U in a cylinder having radius R. A liquid having density p leaves the open end with conical velocity profile V = Vo(1

– r/R)k. (a) If the exhaust port is closed, find the value of Vo in terms of Ug. Be sure to define an appropriate control volume for solving this problem. (b) If Vo = Uo, find the volume flow rate leaving through the exhaust port (in terms of Uo and R).