% 11.+11:04) العنوانDrive the modeling process equation the filling a tank, which explained in thefollowing figure. By applied the transfer function for controlling on the tank filling1/P1۱/۱Find I-fincostron|||AOI =T☑M

Answered: % 11. + 11:04 ) العنوان Drive the…

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) "Que P 'R' (restriction coefficient) '' (head of liquid) dh Qin = A + dt 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. ph R 5 m equation The following constants are provided: R = 40 Kpa s 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 m³s¹. (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.
hey can i get help with these two questions please. thank you.
ZVA @ e SIM a A moodle1.du.edu.om Solve the second order homogeneous differential equation y " -6y'-7y = 0 with intial values y(0) = 0; y'(0) = 1 %3D Maximum file size: 200MB, maximum number of files: 1 Files II
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b. Using Simulink, simulate the transfer function airflow response, Q(t) (air entering respiratory system) for a sine wave input pressure Pao(t)= 2.5 cm·H2O (i.e. 5 cm·H2O peak-to-peak) at 15 breaths min' (or 0.25 Hz) for each lung model. Use the following parameters: -1 i. RC model: R= 1cm·H2O's L' and C=0.2 L·cm·H2O¯ RIC model: R= 1cm·H2O's·L', C= 0.2 L·cm·H2O¯ , and I= 0.01 cm·H2O L-s² Two-compartment model: R. = lcm H2O's L', Rp1,2 = 0.5 cm·H2O•s·L', Cp1,2=0.2 L·cm·H2O', and I= 0.01 cm H2O·L-•s² Mead model: R. = 1cm·H2O•s L', Rp = 0.5 cm:H2O•s·L', C1 =0.2 L·cm·H2O', Cw=0.2 L·cm·H2O-', C, =0.005 L·cm·H2O', and I= 0.01 cm H2O·L-1·s² ii. iii. iv.
Q3) Represent the rotational mechanical system shown below in state space representation (matrix form) where 10 6, (t) is the output. Use four state variables 10T 02 100 Kg-m 100 Kо-m 100N-m sec/rad 100 N-m/rad
The Johnson & Royce model of a distillation column is driven by the inputs of steam flow and its flow rate; the output measurement is the temperature change. The state-space model is given by: -2 x = [¯²¯¯¯7 | x + | | | u; y = [0_1]x - the system defining the model of the distillation column is a. Asymptotically stable O b. Unstable Oc. Marginally stable Od. Indeterminate in relation to its stability
Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to use a calculator or computer to graph the function with a domain and viewpoint that reveals all the important aspects of the function. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) f(x, y) = 9 sin(x) sin(y), −? < x < ?, −? < y < ? local maximum value(s) local minimum value(s) saddle point(s) (x, y) =
B9
2- Using Matlab, what are the step response curves of the closed-loop system, as shown in fig.1. the feedback represents the second-order dynamic system. (fill in the following table) For=0.4 Wn 1 3 6 9 10 R(S) 0.1 0.3 0.6 0.9 1 For w 5 rad/sec 3 Settling time Peak response 2 Wn s(s+23wn) Settling time Peak response C(s) Discuss the follow Which parameters or w occur on the rise time of the response? Which parameter increases the speed of response? Which parameters can be decreases the response amplitude? Which parameter decreases the steady error state? fig.2

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% 11. + 11:04 ) العنوان Drive the modeling process equation the filling a tank, which explained in the following figure. By applied the transfer function for controlling on the tank filling 1/P1 ۱/۱ Find I-f inc ostron ||| A O I =T ☑ M