Air flows steadily from a tank through a hose and exits to the atmosphere from a nozzle (3) as shown in the figure. Considering the pressure in the tank (1) remain constant at 10.0kPa (gage), determine the pressure in the hose (2) and the flow rate. D = 0.03m d = 0.01m P1 = 10.0kPa • (2) (3) (1) Air

Tank 1 Tank 2 g Question 1 Consider the flow of water (p= 10³ kg/m³, u = 10³ Pa-s) from tank 1 to tank 2. A centrifugal pump is installed in this piping system with length L = 300 m and diameter D = 40 cm cast-iron pipe. The water surface of tank 1 is 15 m higher than the water surface of tank 2. You may neglect minor losses but not major losses. The gravity cannot be neglected. Assume steady-state and no friction in the tanks. (a) Simplify the equation of the system curve Ap vs Q. Do not place numerical data. (b) Plot the system curve Ap vs Q (0 ≤Q≤2 m³/s). (c) Find the volumetric flow rate when the pump is not operating. (d) Find the power supplied to the water and to the pump if n = 0.9 and 1 m³/s. (e) Consider a pump: Ap = 106 105 Q², where Ap in Pa and Q in m³/s. Find the operating point. What is the minimum and maximum volumetric flow rate that this pump can deliver?