A storage tank contains a liquid at depth y where y = 6 when the tank is hall lüll. Liquid withdrawn at a constant flow rate Q to meet demands. The contents are resupplied at a sinuso- rate 3Q sin'(t), The outflow is not constant but rather depends on the depth. For this case, the differential equ for depth is shown below. Some variable values are A = 1200 m, Q = 500 m2 /d, and a (force function) = 300. Arrange the variables into the Mathematical Model format: stating which variable(s) is denendent independent, etc.
A storage tank contains a liquid at depth y where y = 6 when the tank is hall lüll. Liquid withdrawn at a constant flow rate Q to meet demands. The contents are resupplied at a sinuso- rate 3Q sin'(t), The outflow is not constant but rather depends on the depth. For this case, the differential equ for depth is shown below. Some variable values are A = 1200 m, Q = 500 m2 /d, and a (force function) = 300. Arrange the variables into the Mathematical Model format: stating which variable(s) is denendent independent, etc.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:A storage tank contains a liquid at depth y where y= 0 when the tank is half full. Liquid is
withdrawn at a constant flow rate Q to meet demands. The contents are resupplied at a sinusoidal
rate 3Q sin'(t),
The outflow is not constant but rather depends on the depth. For this case, the differential equation
for depth is shown below. Some variable values are A = 1200 m?, Q = 500 m /d, and a (force
function) = 300.
Arrange the variables into the Mathematical Model format: stating which variable(s) is
dependent, independent, etc.
dy
a(1+ y)15
dx
A
Figure P1.7
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