The tank shown in the accompanying figure is being filled by Pipes 1 and 2. If the water level is to remain constant, what is the mass-flow rate of water leaving the tank at Pipe 3? What is the average velocity of the water leaving the tank? Pipe 1: d = 1 in. V = 2 ft/s Pipe 2: d = 1.75 in. V = 1.5 fUs Pipe 3: d 1.5 in. V= ?

Problem 4: Approximating Discharge from Velocity Consider steady flow in a stream d = 0.50 m deep and w = 3.0 m wide ("into the page"): Part A Part B h X X The velocity distribution is u = Umax(1- h²/d²), where Umax = 0.20 m/s. A few sample values are shown in the following table: 0.25 h[m] 0 u [m/s] 0.20 0.15 ▼ Part A On the figure, sketch the velocity profile using the equation. No need to calculate points. Part B On the figure, sketch an approximate velocity profile, with an upper area and a lower area. Plot the average velocity for the upper area and the lower area (hint, recall the wedding cake). Part C Using your approximation, calculate the discharge Q [m³/s]. Part D Using your approximation, calculate the average velocity V[m³/s].

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