A tank is initially empty. A liquid with p = 62.4 lbm/ft is poured into the tank at a constant mass flow rate of m = 7 lbm/s. The tank has cross-sectional area A = 0.2 fe, and the fluid in the tank has a variable height H(1). There is a hole at the bottom of the tank. The fluid flows out of the tank at a rate proportional to the fluid height: me = kH, where k = 1.4 lbm/f/s. Find H(t). A sketch is given in Fig. P.1.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Problem -1
A tank is initially empty. A liquid with p = 62.4 Ibm/ft is poured into the tank at a constant mass flow
rate of m = 7 Ibm/s. The tank has cross-sectional area A = 0.2 ft, and the fluid in the tank has a
variable height H(t). There is a hole at the bottom of the tank. The fluid flows out of the tank at a rate
proportional to the fluid height: me = kH, where k = 1.4 Ibm/ft/s. Find H(t). A sketch is given in Fig. P.1.
Figure.P.1: Sketch of tank filling problem
Transcribed Image Text:I need a solution ASAP Problem -1 A tank is initially empty. A liquid with p = 62.4 Ibm/ft is poured into the tank at a constant mass flow rate of m = 7 Ibm/s. The tank has cross-sectional area A = 0.2 ft, and the fluid in the tank has a variable height H(t). There is a hole at the bottom of the tank. The fluid flows out of the tank at a rate proportional to the fluid height: me = kH, where k = 1.4 Ibm/ft/s. Find H(t). A sketch is given in Fig. P.1. Figure.P.1: Sketch of tank filling problem
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