An open tank contains water (density = 1000 kg/m). An inlet pipe entering from the left...

  

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An open tank contains water (density = 1000 kg/m). An inlet pipe entering from the left flows at a constant, uniform velocity V and another pipe above the tank flows at a constant volume flow rate Q3. Water exits out an outlet to the right which flows with a constant, uniform velocity V. The tank is circular. a) What is the rate of change of the height of the water in the tank (dh/dt) as a function of V, V2, Q3, D, D and d. Find an algebraic expression (don't plug in numeric values). b) What must the velocity of the outlet (V) be in order for the tank to remain at a constant h? For this part of the problem, assume that V = 3 m/s and Q3 = 0.01 m/s and use the dimensions given in the diagram. D = 5 cm Q=0.01 m/s Water D=7 cm An open tank contains water (density = 1000 kg/m). An inlet pipe entering from the left flows at a constant, uniform velocity V and another pipe above the tank flows at a constant volume flow rate Q3. Water exits out an outlet to the right which flows with a constant, uniform velocity V. The tank is circular. a) What is the rate of change of the height of the water in the tank (dh/dt) as a function of V, V2, Q3, D, D and d. Find an algebraic expression (don't plug in numeric values). b) What must the velocity of the outlet (V) be in order for the tank to remain at a constant h? For this part of the problem, assume that V = 3 m/s and Q3 = 0.01 m/s and use the dimensions given in the diagram. D = 5 cm Q=0.01 m/s Water D=7 cm