EBK MATLAB: AN INTRODUCTION WITH APPLIC
5th Edition
ISBN: 8220102007642
Author: GILAT
Publisher: YUZU
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 9, Problem 35P
The sudden outbreak of an insect population can be modeled by the equation
The first term relates to the well-known logistic population growth model where N is the number of insects. R is an intrinsic growth rate, and C is the carrying capacity of the local environment. The second term represents the effects of bird predation. Its effect becomes significant when the population reaches a critical size Nc; r is the maximum value that the second term can reach at large values of N.
Solve the differential equation for
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
DETERMINE
A. V1 if the 1000uF capacitor is not connected
B. V1 is the 1000uF capacitor is connected
C. Ripple voltage of problem B
D. V2 if 1000uF capacitor is not connected
E. V2 if 1000uF capacitor is connected
F. From problem C solve for Is, Il, and Ic
(OUR SUBJECT IS INDUSTRIAL ELECTRONIC)
In the figure, the steady state error is required to be 1% for the ramp entry r (t) = 0.1 h (t) input to the system.
a) Determine the type (N) number and K(OL) value of the open loop system.
b) Given the input and the desired maximum steady state error, what would be the smallest value of K?
c) What should Td be chosen in order to keep the system stable according to the selected K value?
Q1. For the system shown in Figure (1)
E.
CG)
RU)
K₁
D(0)
Figure (1)
Design the values of K, and K₂ to meet the following specifications: Steady-state error component due
to a unit step disturbance is 10% ; steady-state error component due to a unit step input is 20%.
D
G.
K₂
#+2
Chapter 9 Solutions
EBK MATLAB: AN INTRODUCTION WITH APPLIC
Ch. 9 - Prob. 1PCh. 9 - Determine the solution of the equation 2cosx0.5x=1...Ch. 9 - 3. Determine the solution of the equation .
Ch. 9 - 4. Determine the solution of the equation .
Ch. 9 - 5. A box of mass m = 25 kg is being pulled by a...Ch. 9 - 6. A scale is made of two springs, as shown in the...Ch. 9 - An estimate of the minimum velocity required for a...Ch. 9 - 8. The diode in the circuit shown is forward...Ch. 9 - 9. Determine the minimum and the maximum of the...Ch. 9 - A paper cup shaped as a frustum of a cone with...
Ch. 9 - 11. Consider again the block that is being pulled...Ch. 9 - 12. Determine the dimensions (radius r and height...Ch. 9 - 13. Consider the ellipse. Determine the sidesa...Ch. 9 - 14. Planck’s radiation law gives the spectral...Ch. 9 - A 108-in.-long beam AB is attached to the wall...Ch. 9 - 16. Use MATLAB to calculate the following...Ch. 9 - 17. Use MATLAB to calculate the following...Ch. 9 - 18. The speedofarace carduring the first seven...Ch. 9 - 19. The shape of the centroid line of the Gateway...Ch. 9 - The flow rate Q (volume of fluid per second) in a...Ch. 9 - 21. The electric field E due to a charged circular...Ch. 9 - Prob. 22PCh. 9 - The variation of gravitational acceleration g with...Ch. 9 - 24. A cross section of a river with measurements...Ch. 9 - Prob. 25PCh. 9 - Prob. 26PCh. 9 - Prob. 27PCh. 9 - Prob. 28PCh. 9 - Prob. 29PCh. 9 - Prob. 30PCh. 9 - Prob. 31PCh. 9 - Use a MATLAB built-in funtion to numerically...Ch. 9 - The growth of a fish is often modeled by the von...Ch. 9 - A water tank shaped as an ellipsoid (a = 1.5 m, b...Ch. 9 - The sudden outbreak of an insect population can be...Ch. 9 - An airplane uses a parachute and other means of...Ch. 9 - Prob. 37PCh. 9 - An RL circuit includes a voltage source vs, a...Ch. 9 - Prob. 39PCh. 9 - The velocity, v, of an object that falls freely...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.Similar questions
- plz solve only part 2 Your company is considering the installation of a 2 MW wind turbine with a rotor diameter of 80 m in a location with average wind v = 10 m/s. The turbine has a cut-in velocity of 5 m/s and a cut-out velocity of 25 m/s. The capacity factor is 0.45. The installed cost of the turbine is $3,500,000. Operating expenses are $225,000 per year. The system has a power coefficient (electric power generated divided by wind power) of 0.45. part 1) What price would you have to get for the electricity you produce to obtain a 10% return on the plant investment assuming a project lifetime of 20 years? Use the tables for the cumulative wind power distribution in the notes on wind probability to answer this question. Assume an air density of 1.225 kg/m3. The answer is equal to 0.0815 dollar part2) How would your answer to problem one change for each of the following modifications to the data in that problem? (Consider each change independently, not as a cumulative series…arrow_forwardThe effective life of a component used in a jet-turbine aircraft engine is a random variable with mean 5000 hours and standard deviation 40 hours. The distribution of effective life is fairly close to a normal component that increases the mean life to 5030 hours and decreases the standard deviation to 30 hours. distribution. The engine manufacturer introduces an improvement into the manufacturing process for this Suppose that a random sample of n₁ = 16 components is selected from the "Old" process and a random sample of n₂ = 25 components is selected from the "Improved" process. What is the probability that difference in the two-sample means that the old and improved processes can be regarded as independent populations. - X₂X₁ is at least 15 hours? Assumearrow_forwardUse the differential equation for electric circuits given by L (dI/ dt) + RI + E. In this equation, I is the current, R is the resistance, L is the inductance, and E is the electromotive force (voltage). Solve the differential equation for the current given a constant voltage E0.arrow_forward
- 52. F0X Q.4: For the circuit shown beside, the switch was in steady-state when it's open the circuit. When the switch closed at t=0, find the transient time 102 i2(t) 102 equations for the currents i, & iz? -6.67t 100VT 2H (Ans.: i,=5+1.67e6.6" A & i2=5-0.555e 6671 A)arrow_forwardQ2) A system is shown in the figure below R2 D C (s + x)(s+y) Given that x=10 and y =12 Determine a) The steady State error for a unit step input in terms of C and D where E(s)=R,(s)-R,(s) b) Select a value for C so that the steady state error is zeroarrow_forwardCan you explain each step clearly to solve this? I will rate, thank you!arrow_forward
- Calculate the steady-state errors that will occur if the following test signals are applied to the system given in the figure.a) 15u(t)b) 15tu(t)c) 15t2u(t)arrow_forwardOn a thin-walled tank, internally pressurized cylinders p with wall thickness t and average radius r, two strain gauges are installed according to the figure in such a way that longitudinal strain gauge (1) and peripheral strain gauge (2) are installed on the tank. Are. Strain gauges are both similar to the Gage factor G and have an electrical resistance of Ro at zero strain. The modulus of elasticity of the tank is E and its Poisson's ratio is v. Two strain gauges are mounted on two branches of one Watson bridge and two resistors R3 and R4 with similar resistance and constant R on the other two branches of the bridge (as shown in Figure 3). Longitudinal (o1) and peripheral stresses (o) in a reservoir can be calculated from the following equations: pr 2t pr t It is desirable to calculate the relationship between the internal pressure of the tank p and the output voltage of the Watson bridge vo. 2 Vo R3 R. Vs Figure 1: Thin-walled cylindrical tank under internal pressure p and…arrow_forwardGive an example of a connected undirected graph that contains at least twelve vertices that contains at least two circuits. Draw that graph labeling the vertices with letters of the alphabet. Determine one spanning tree of that graph and draw it. Determine whether the graph has an Euler circuit. If so, specify the circuit by enumerating the vertices involved. Determine whether the graph has an Hamiltonian circuit path. If so, specify the circuit by enumerating the vertices involved.arrow_forward
- AM%20QUESTIONS.pdf 4/5 Question 7: For the system given in the figure on the right-hand side, where the input is four-unit step i.e., r t = 4(t). (a) Find the value of gain K that yields max. 20% overshoot, (b) Find the peak time for this gain, (c) Find the settling time for this gain, (d) Find the steady-state and peak values of the response for this gain. (e) Find the value of gain K that yields max. 30% overshoot, (f) Find the peak time for this gain, (g) Find the settling time for this gain (h) Find the steady-state and peak values of the response for this gain (i) Determine the value of gain K to get the fastest response without oscillation. 91% + | (j) Find the settling time for this new gain and compare it with the previous two settling times. (k) Simulate this control system in Simulink and plot the responses with 20%, 30% and fastest but no oscillation on the same plane. Indicate settling times of the responses on the plot and list them from the smallest to the largest such…arrow_forwardWhat are static error coefficients? how will you calculate the steady state error using static error coefficients? (Write equations also, about kp, Kv, Ka) subject: control systemarrow_forwardDiferential Equations, pls dont skip steps on the integrals and everything thank you A 12 volt battery is connected to a series circuit in which the inductor is 12 henry and the resistance is 10 ohms. Determine the current i, if the initial current is zero.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSON
Delmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage Learning
Programmable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill Education
Electric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSON
Engineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:9780073373843
Author:Frank D. Petruzella
Publisher:McGraw-Hill Education
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:9780078028229
Author:Charles K Alexander, Matthew Sadiku
Publisher:McGraw-Hill Education
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:9780134746968
Author:James W. Nilsson, Susan Riedel
Publisher:PEARSON
Engineering Electromagnetics
Electrical Engineering
ISBN:9780078028151
Author:Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:Mcgraw-hill Education,
01 - What Is A Differential Equation in Calculus? Learn to Solve Ordinary Differential Equations.; Author: Math and Science;https://www.youtube.com/watch?v=K80YEHQpx9g;License: Standard YouTube License, CC-BY
Higher Order Differential Equation with constant coefficient (GATE) (Part 1) l GATE 2018; Author: GATE Lectures by Dishank;https://www.youtube.com/watch?v=ODxP7BbqAjA;License: Standard YouTube License, CC-BY
Solution of Differential Equations and Initial Value Problems; Author: Jefril Amboy;https://www.youtube.com/watch?v=Q68sk7XS-dc;License: Standard YouTube License, CC-BY