Q4 Consider a water supply tank shown in Figure Q4. Distributed water is pumped as needed at the mass flow rate qm, (t)

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Q4 Consider A Water Supply Tank Shown In Figure Q4 Distributed Water Is Pumped As Needed At The Mass Flow Rate Qm T 1 (188.71 KiB) Viewed 24 times

Q4 Consider a water supply tank shown in Figure Q4. Distributed water is pumped as needed at the mass flow rate qm, (t) from the tank, and replacement water is pumped from a well at the mass flow rate qm; (t). (a) Determine the mathematical model of the water height h(t). Assuming that the tank is cylindrical with a cross section A. (10 marks) (b) Determine the water height after 5 hours if 1000 gallons per minute are pumped out of the well and 800 gallons per minute are withdrawn from the tank (1 gallon = 0.13368 ft³). The cylindrical tank has a radius of 11 ft. (10 marks) Imi A 19mo Well (a) Figure Q4 Page 2 of 4 Distribution