'p' (liquiddensity'A' (tank crosssectional area)'Qin' (Input Flow Rate)"QueP'R' (restriction coefficient)'' (headof liquid)dhQin = A +dtFigure 1The single tank system (Figure 1) has been modelled by the first order differential equation given asequation. The equation describes the relationship between the input flow rate entering the tank and thehead of liquid in the tank.phR5 mequationThe following constants are provided:R = 40 Kpa s m², 4 = 10 m², p= 1001 kg m², and g = 9.81 m sA pump is suddenly switched on and provides a step input flow rate of 0.5 m³s¹.(1) Using Laplace Transforms, solve equation and provide an expression to show how the level inthe tank will vary in time after the step input has been applied.

Given that: Qin = Adhdt+ρgRhWhere R = 40 KPa, A = 10 m2, ρ = 1001 kg m-3, and g = 9.81 m s-2input…

'p' (liquid density 'A' (tank cross sectional area) Q (Input Flow Rate) Qin = A dh Figure 1 The single tank system (Figure 1) has been modelled by the first order differential equation given as equation. The equation describes the relationship between the input flow rate entering the tank and the head of liquid in the tank. dt 'R' (restriction coefficient) "A" (head of liquid) + ph R B equation The following constants are provided: R=40 Kpas m², 4 = 10 m², p= 1001 kg m², and g = 9.81 m s A pump is suddenly switched on and provides a step input flow rate of 0.5 m²s¹. (1) Using Laplace Transforms, solve equation and provide an expression to show how the level in the tank will vary in time after the step input has been applied.

'p' (liquid density 'A' (tank cross sectional area) Q (Input Flow Rate) Qin = A dh Figure 1 The single tank system (Figure 1) has been modelled by the first order differential equation given as equation. The equation describes the relationship between the input flow rate entering the tank and the head of liquid in the tank. dt 'R' (restriction coefficient) "A" (head of liquid) + ph R B equation The following constants are provided: R=40 Kpas m², 4 = 10 m², p= 1001 kg m², and g = 9.81 m s A pump is suddenly switched on and provides a step input flow rate of 0.5 m²s¹. (1) Using Laplace Transforms, solve equation and provide an expression to show how the level in the tank will vary in time after the step input has been applied.

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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'p' (liquid density) 'A' (tank cross sectional area) 'Qin' (Input Flow Rate) Qout' P Figure 1 'h' (head of liquid) 'R' (restriction coefficient) 5m
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