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Consider the two-tank liquid-level system shown below with cross-sectional areas, A₁ and A2, respectively. The liquid enters tank 1 through a pipe with a volumetric flow rate of q. The liquid can flow between the two tanks through a valve of linear resistance R₁. The liquid discharges to atmospheric pressure from tank 2 through a valve of resistance R₂. Assume both tanks are exposed to atmospheric pressure and the density p of the liquid is constant. given pic. 2.9 A₁ R₁ Please do the don't Lopy гору A₂ Your tasks: A. Derive a differential equation model for the system behavior in terms of the liquid heights h₁ and h₂. ( B. Determine the transfer function G(s) = H₂(8)/Q.(s) for the system in terms of flow resistances R₁ and R₂, hydraulic capacitance values C₁ and C₂, and gravity, g. Work from R₂ K

Consider the two-tank liquid-level system shown below with cross-sectional areas, A₁ and A2, respectively. The liquid enters tank 1 through a pipe with a volumetric flow rate of q. The liquid can flow between the two tanks through a valve of linear resistance R₁. The liquid discharges to atmospheric pressure from tank 2 through a valve of resistance R₂. Assume both tanks are exposed to atmospheric pressure and the density p of the liquid is constant. given pic. 2.9 A₁ R₁ Please do the don't Lopy гору A₂ Your tasks: A. Derive a differential equation model for the system behavior in terms of the liquid heights h₁ and h₂. ( B. Determine the transfer function G(s) = H₂(8)/Q.(s) for the system in terms of flow resistances R₁ and R₂, hydraulic capacitance values C₁ and C₂, and gravity, g. Work from R₂ K

Elements Of Electromagnetics
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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Consider the two-tank liquid-level system shown below with cross-sectional areas, A₁ and A2, respectively. The liquid enters tank 1 through a pipe with a volumetric flow rate of qi. The liquid can flow between the two tanks through a valve of linear resistance R₁. The liquid discharges to atmospheric pressure from tank 2 through a valve of resistance R₂. Assume both tanks are exposed to atmospheric pressure and the density p of the liquid is constant. given pic. 2.9 003 Please do the don't copy гору A2 Your tasks: A. Derive a differential equation model for the system behavior in terms of the liquid heights h₁ and h2. (10) B. Determine the transfer function G(s) = H₂(s)/Qi(s) for the system in terms of flow resistances R₁ and R₂, hydraulic capacitance values C₁ and C₂, and gravity, g. Work from R₂ *
Transcribed Image Text:Consider the two-tank liquid-level system shown below with cross-sectional areas, A₁ and A2, respectively. The liquid enters tank 1 through a pipe with a volumetric flow rate of qi. The liquid can flow between the two tanks through a valve of linear resistance R₁. The liquid discharges to atmospheric pressure from tank 2 through a valve of resistance R₂. Assume both tanks are exposed to atmospheric pressure and the density p of the liquid is constant. given pic. 2.9 003 Please do the don't copy гору A2 Your tasks: A. Derive a differential equation model for the system behavior in terms of the liquid heights h₁ and h2. (10) B. Determine the transfer function G(s) = H₂(s)/Qi(s) for the system in terms of flow resistances R₁ and R₂, hydraulic capacitance values C₁ and C₂, and gravity, g. Work from R₂ *
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