A small mixing tank with a long discharge line is attached to an input source pump:R1R2CPsIa) Develop the Transfer function for the height deviation as result of a supply pressure deviation:H(s)as a function of the linearized resistances, the tank capacitance, and line inertance. WhenP,(s)modeling this, assume that the resistance and inertance are both throughout the lines such that thesame pressure drop is across R2 and I. (Note, this can also be modeled using an equivalentelectrical circuit where I and R2 are in series)

Name: A small mixing tank with a long discharge line is attached to an inpu
Uploaded: 2024-03-20T06:56:55.000Z
Channel: Bartleby
Description: A small mixing tank with a long discharge line is attached to an input source pump:R1R2CPsIa) Develop the Transfer function for the height deviation as result of a supply pressure deviation:H(s)as a function of the linearized resistances, the tank c

A small mixing tank system is shown below in the diagram: Transfer function: A mathematical…

Engineering

Mechanical Engineering

A small mixing tank with a long discharge line is attached to an input source pump: R1 R2 C Ps I a) Develop the Transfer function for the height deviation as result of a supply pressure deviat H(s) as a function of the linearized resistances, the tank capacitance, and line inertance. Wh P,(s) modeling this, assume that the resistance and inertance are both throughout the lines such th same pressure drop is across R2 and I. (Note, this can also be modeled using an equivalent electrical circuit where I and R2 are in series)

A small mixing tank with a long discharge line is attached to an input source pump: R1 R2 C Ps I a) Develop the Transfer function for the height deviation as result of a supply pressure deviat H(s) as a function of the linearized resistances, the tank capacitance, and line inertance. Wh P,(s) modeling this, assume that the resistance and inertance are both throughout the lines such th same pressure drop is across R2 and I. (Note, this can also be modeled using an equivalent electrical circuit where I and R2 are in series)

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

See similar textbooks

Related questions

Q: 5. Linear Momentum. Water flows into a horizontal (gxgy = 0) piping section at Pg₁ = 200 kPa,…

A: Given: Pg1=200 kPaPg2=Pg3=0A1=5 cm2A2=0.5 cm2A3=1 cm2 To determine: a)V1,V2,V3 b) Rx, Ry

Q: Delta Z (ft) Operating Head (r) Operating Discharge (cfs) Elficiency (%6) Brake Horsepower (hp)

Q: height, T (Nm) mm O 58 67 70 72 75 76 76.5 0.6 089 1.1 1.2 1:3 1.3 4.4 1.4 kW Hp (100%) flow rate P₁…

A: To calculate and fill up the details of input section and output section in the tablegiven thatpump…

Q: You are asked to design piping systems of two different lengths of 0.75 and 1 km respectively for…

A: Given:

Q: An underdamped system is defined with the data of m= 10 kg, k = 1000 N/m, and c = 20 Ns/m. A…

Q: The Air on 1 ATM on T. = 250 K And the free flow rate is 30 meters It flows across a diameter…

Q: du* əv* + ах ду du' du u". ·+v². əx* dy* ·+vº ƏT* əx* where p* = P, Re₁ = ², and Pr = Derive the…

A: Consider all dimensionless parameters.Consider expression for incompressible, 2D continuity…

Q: (2) FOR THE SYSTEM BELOW LET M = 10kg, K= 4000 /m (= 40 Kg/s, x(0) = 0, AND x(0) = -1 m/s. (a) (b)…

Q: Ра h: liquid level (m) A: tank cross sectional area (m²) p: density of the fluid Pa: atmospheric…

Q: Air is compressed by a compressor in steady-state operation, i.e. the inlet mass flow rate q is…

Q: find trasfer function Y(s)/R(s) if kc is 5 and plant is 1/(0.5s+1). input r(t) is a unit-step…

A: The transfer function as you have asked is: T(s)=0.5s+65 It can be simplified by taking 0.5 common…

Q: has the following parameters for initial design purposes subject to changes based on overall system…

Q: For the System below Let M = 10kg, k = 4000 fy C= 40, x(0)=0, and x(0) = -1 m/s F(4) = sin(πt) + Sin…

A: m =40 kgk = 4000 N/mC = 40 Ns/m2initial conditions are 0 m and -1 m/sForce, It is asked to find the…

Q: Please solve this fully for me, I need help on this fast :)

A: b) Matlab code for bode plot:- A = 0.25;b = 10;m = 20;k = 2.4;omega_n = 2*pi*160;zeta = 0.2;num = k…

Q: For the following water liquid level system, 9mi(t) is the mass flow rate input deviation to the…

A: According to the question, we have given a two-tank system which is shown in the diagram: This is…

Topic Video

Question

A small mixing tank with a long discharge line is attached to an input source pump:
R1
R2
C
Ps
I
a) Develop the Transfer function for the height deviation as result of a supply pressure deviation:
H(s)
as a function of the linearized resistances, the tank capacitance, and line inertance. When
P,(s)
modeling this, assume that the resistance and inertance are both throughout the lines such that the
same pressure drop is across R2 and I. (Note, this can also be modeled using an equivalent
electrical circuit where I and R2 are in series)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Please Help with this question. Show clear steps and highlight the answers.
A h HU y h An object of mass 0.3 kg is released by pushing down a little (y) while floating with h-20 cm submerged in water. a) Write the differential equation of the free oscillations of the system, assuming that, during the motion, the body is subjected to a damping force given by -bv (v is the velocity of the body. b is the damping constant). b) If the frequency of the damped harmonic motion is half the frequency when there is no damping, what is the value of the damping constant?
The Laws of Physics are written for a Lagrangian system, a well-defined system which we follow around – we will refer to this as a control system (CSys). For our engineering problems we are more interested in an Eulerian system where we have a fixed control volume, CV, (like a pipe or a room) and matter can flow into or out of the CV. We previously derived the material or substantial derivative which is the differential transformation for properties which are functions of x,y,z, t. We now introduce the Reynold’s Transport Theorem (RTT) which gives the transformation for a macroscopic finite size CV. At any instant in time the material inside a control volume can be identified as a control System and we could then follow this System as it leaves the control volume and flows along streamlines by a Lagrangian analysis. RTT:DBsys/Dt = ∂/∂t ʃCV (ρb dVol) + ʃCS ρbV•n dA; uses the RTT to apply the laws for conservation of mass, momentum (Newton's Law), and energy (1st Law of…
3) Derive the transfer function, G(s), for the translational system provided below: + x1(t) x2(1) 1 N/m G(s)= :(s) F(s) 1 kg 1 N-s/m 1 kg Frictionless
Q4/A- The mass of the filter is 25.3046 gm. after 20 min the filter mass will be 25.4112 gm. with volumetric flow is 5.2 m 3/hr. What is the concentration of pollutant after one day
The Laws of Physics are written for a Lagrangian system, a well-defined system which we follow around – we will refer to this as a control system (CSys). For our engineering problems we are more interested in an Eulerian system where we have a fixed control volume, CV, (like a pipe or a room) and matter can flow into or out of the CV. We previously derived the material or substantial derivative which is the differential transformation for properties which are functions of x,y,z, t. We now introduce the Reynold’s Transport Theorem (RTT) which gives the transformation for a macroscopic finite size CV. At any instant in time the material inside a control volume can be identified as a control System and we could then follow this System as it leaves the control volume and flows along streamlines by a Lagrangian analysis. RTT:DBsys/Dt = ∂/∂t ʃCV (ρb dVol) + ʃCS ρbV•n dA; uses the RTT to apply the laws for conservation of mass, momentum (Newton's Law), and energy (1st Law of…
A wind turbine gives the following data: Blade length= 55.5 m. Wind speed = 11 m/s Air density = 1.227 Kg/m3 Power coefficient = 0.55 Assuming equal efficiencies for gearbox and generator, If the Power output from wind turbine, P is 2.1 MW, then find a) Rotor Power Output, P- in M (* b) Wind Power, Pw in MW (: C) Efficiency of Generator Rotor Power Output, Pr in MW
3. Consider the mechanical system shown in Fig. 3. Let V3(t) be the input and the acceleration of the mass be the output. Derive the state equations and the output equation using linear graphs and normal trees. V,(t) В m k2 101 k, Figure 3: A mechanical system with an across-variable source
Needs Complete solution with 100 % accuracy
Use Euler's method, with step size, h = 0.1, to approximate the solution at t= 0.3 for the initial value problem dx = =x-t , x(0)=1 dt
Problem 2. A linearized state space model of a three blade speed wind turbine with a 15 m radius working at 12 m/s wind-speed and generating 220 V is -5 5 1 -10.5229 -1066.67 -3.38028 23.5107 993.804 3.125 -23.5107 Wgm 10 -10 Wgm y = [ 0 0 0 1.223 × 10° 0] Wgm where 3 is the pitch angle of the wind turbine blades, { is the relative angle of the sec- ondary shaft, i is the angular velocity of the secondary shaft, wg is the generator speed, Wgm is the generator measurement speed, u is the pitch angle reference, and y is the active power generated. (a) What is the maximum number of poles that the transfer function could have? How many poles does it have?