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Unformatted text preview: liquid , the height of the liquid in the tank h , and surface area of the tank A by (4). For simplicity, you may want to define the constant C A . (a) Use equations (2)-(4) together with the mass rate equation (1) to determine a differential equation for h in terms of h and u . (b) Given that ( h,H ) and ( u,U ) are Laplace transform pairs, what is the Laplace transform of the differential equation. This should give you an equation in the Laplace domain (ignore any evaluations of the initial time if you have any). (c) Using the Laplace domain equation, solve for H as a function of s and U . q out q in h (a) Depiction of tank system. m = q in-q out (1) q in = u ( t ) (2) q out = 1 R h (3) m = Ah (4) (b) Equations associated to tank system. Figure 1: Tank system description....
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This note was uploaded on 05/26/2010 for the course ECE 3025 taught by Professor Citrin during the Spring '08 term at Georgia Institute of Technology.
- Spring '08