(a) Equation of motion can be determined by the use of Kirchoff’s voltage law and by considering the voltage across the capacitor, inductor and resistor.
We have:$$i_c(t) R + v_c(t) + L\frac{di_c(t)}{dt} = u(t)$$Differentiating both sides with respect to t, we get:$$L\frac{d^2 i_c(t)}{dt^2} + R\frac{di_c(t)}{dt} + \frac{1}{C}i_c(t) = \frac{d u(t)}{dt}$$Taking the Laplace transform, we get:$$Ls^2I_c(s) + RsI_c(s) + \frac{1}{Cs}I_c(s) = U(s)$$$$\therefore I_c(s) = \frac{U(s)}{Ls^2 + Rs + \frac{1}{C}}$$Comparing this with the second order differential equation of a damped harmonic oscillator, we can see that:$$a = \frac{R}{2L}, w = \frac{1}{\sqrt{LC}}$$Therefore, a = 15 and w = 477.7 rad/s.
(b) The transfer function is:$$H(s) = \frac{\frac{1}{LC}}{s^2 + \frac{R}{L}s + \frac{1}{LC}}$$The poles of the transfer function can be calculated using the following formula:$$\omega_n = \frac{1}{\sqrt{LC}}$$$$\zeta = \frac{R}{2L}\sqrt{\frac{C}{L}}$$$$p_1 = -\zeta\omega_n + j\omega_n\sqrt{1-\zeta^2}$$$$p_2 = -\zeta\omega_n - j\omega_n\sqrt{1-\zeta^2}$$Substituting the given values, we get:$$\zeta = 0.15$$$$\omega_n = 477.7$$$$p_1 = -31.33 + j476.6$$$$p_2 = -31.33 - j476.6$$Since the poles have a negative real part, the step response will not exhibit ringing.
(c) Using the same formula as before, we get:$$\zeta = 0.75$$$$\omega_n = 477.7$$$$p_1 = -359.4 + j320.7$$$$p_2 = -359.4 - j320.7$$Since the poles have a negative real part, the step response will not exhibit ringing. Therefore, there is no ringing in the step response for both parts b and c.
To learn more about equation:
https://brainly.com/question/29538993
#SPJ11
Personnel: must be clearly identified and labelled in plain English. The following positions must wear an armband, vest, helmet, etc. of the following corresponding colour. MANAGMENT? MEDICAL? SAFETY?
Personnel must be clearly identified and labelled in plain English to ensure that they can be easily recognized and located in case of emergency or other situations. The use of armbands, vests, helmets, or other similar items in corresponding colours can help identify personnel by their roles or responsibilities.
In this case, the corresponding colours for each position are:Management: Yellow. This colour is commonly used to identify personnel in a supervisory or managerial role, as well as those responsible for making decisions.Medical: Green. This colour is often used to identify personnel with medical training, such as doctors, nurses, and emergency medical technicians.Safety: Orange. This colour is frequently used to identify personnel responsible for maintaining safety and preventing accidents, such as safety officers, inspectors, or engineers.It is important to ensure that all personnel understand the meaning of the colours and symbols used to identify different roles or responsibilities to ensure that they can be quickly identified and located when needed.
To learn more about responsibilities click on the link below:
brainly.com/question/30432882
#SPJ11
Need help giving out brainlest
Answer:
1,2,3,5
Explanation:
Not positive but i think so
differential manometer is used to measure the pressure change caused by a flow constriction in a piping system as shown. determine the pressure difference between points aand bin psi. which section has the higher pressure?
The pressure drop between heated air and cold water can be measured with differential manometers.
What is the differential manometer's working principle?A manometer works by connecting one end to a gas that is sealed to measure the source of pressure. However, its opposite end is exposed to the earth's atmospheric pressure. It is more sensitive. It is accurate well. The design and operation of it are straightforward. The pressure difference can be calculated based on basic principles and does not need to be calibrated against any standard. As particles flow through orifices and filters, differential pressure is used to determine if a pipeline has any clogs or contaminants. A change in pressure, which results in an increase or decrease in differential pressure, will occur if a portion of the pipe becomes blocked.
To learn more about differential manometers visit :
https://brainly.com/question/13241234
#SPJ4
Ans. 18).
A push of 180 N and pull of 350 N act simultaneously at a point. Find the resultant of the
forces. if the angle between them (135)
Explanation:
R = √(A²+B²–2ABCos(x°))
x⁰ = 180–135
x° = 45°
R = √(350²+180²–2(350(180))Cos(45)))
R = 256.524
In flowing from section (1) to section (2) along an open channel, the water depth decreases by a factor of two and the Froude number changes from a subcritical value of 0.4 to a supercritical value of 2.5. Determine the channel width at (2) if it is 13 ft wide at (1).
Answer:
channel width = 2.621 ft
Explanation:
Given data :
Decreasing Factor = 2
subcritical value = 0.4
super critical value = 2.5
width = 13 ft
attached below is a detailed solution and
A high efficiency furnace’s main burner shuts off after initial ignition
Which part should be tested?
Flame sensor
Expansion valve
Solenoid valve
Gas valve
The most important part to test in a high efficiency furnace after the initial ignition is the flame sensor.
This component is responsible for detecting the presence of a flame and shutting off the main burner if it is not present. Diagnosing a High Efficiency Furnace After Initial IgnitionThe flame sensor is typically a metal rod connected to the furnace control board. When the furnace is ignited, the flame sensor will detect the presence of a flame and allow the main burner to stay on. If the flame sensor does not detect a flame, it will shut off the main burner and the furnace will need to be restarted. Testing the flame sensor should be the first step in diagnosing a furnace that shuts off after initial ignition.
Learn more about Furnace: https://brainly.com/question/2085058
#SPJ4
requires a mix of machines, equipment, energy and labor
Answer:
building?
Explanation:
HURRY
In the urban fire department, if a fire captain has a problem or issue that requires a decision by a higher official and the deputy chief position has not been filler, he or she may take the issue directly to the fire chief. true or false
Answer:
Yes, it is true.
Creating an object model
Think back to the Sales Bonus Problem you created in a prior lesson.
A more elegant solution to that problem would incorporate objects. This week you are going to revise it to an object oriented program. To do that you need to identify the objects that you need to create to support the program.
Create UML diagrams for each of the object(s) you need and using the concept of design by contract, identify the responsibilities.
For this part of the assignment I only want the UML design document and the contract responsibilities. You will use these design documents to create the program in the next assignment.
I can provide you with general guidance on creating an object model and designing by contract.
How to create an object model in UMLTo create an object model, start by identifying the entities in the problem domain and their relationships. These entities will become the objects in your program. Then, you can use UML diagrams to represent the class structure, including the attributes and methods of each class.
To design by contract, you should define a clear interface for each class, specifying its responsibilities, preconditions, and postconditions. This will ensure that the class behaves as expected and can be used safely in other parts of the program.
Once you have created your UML diagrams and defined the contracts for each class, you can use them as a blueprint for writing the actual program in code.
Read more about UML designs here:
https://brainly.com/question/13838828
#SPJ1
It is okay to lift one end of the vehicle:
A) As long as two swing arms are being used
B) As long as the wheels have been chocked
C) As long as the swing arm restraints are engaged
D) None of the above
It is okay to lift one end of the vehicle B) As long as the wheels have been chocked.
What is a Safety Procedure?This refers to the processes that are undertaken in order to undertake a task safely, both for the person executing the task and others around.
Hence, we can see that It is okay to lift one end of the vehicle B) As long as the wheels have been chocked
This is because it would enable the vehicle to be safely positioned so the wheels would not roll off and cause an accident.
This safety procedure allows a person to raise one end of a vehicle, if the wheels have been chocked, to keep them in place.
Read more about safety procedures here:
https://brainly.com/question/14367881
#SPJ1
Who is Robert Goldard
Answer:
An am American engineer
The larger the displacement of an engine, the less power it produces true or false
Answer: False
Explanation:
Determine the reactions at the roller B the rocker C, and where the beam contacts the smooth plane at A. Neglect the thickness of the beam. Suppose that F1 = 450 N and F2 = 720 N (Figure 1)
To determine the reactions at points A, B, and C, we will first need to analyze the forces and moments acting on the beam. Given that F1 = 450 N and F2 = 720 N, we can use the following steps:
1. Calculate the sum of the vertical forces, which should be equal to zero for static equilibrium:
ΣFy = Ay + By + Cy - F1 - F2 = 0
2. Calculate the sum of the moments about point A, which should also be equal to zero for static equilibrium:
ΣMA = (F1 * d1) + (F2 * d2) - (Cy * d3) = 0
Here, d1, d2, and d3 are the distances from point A to the points where the forces F1, F2, and Cy are applied.
3. Solve for the unknown reactions Ay, By, and Cy using the above equations.
Note that without the distances (d1, d2, and d3) or a diagram (Figure 1), it is not possible to provide specific numerical values for the reactions at A, B, and C.
learn more about analyze the forces here:
https://brainly.com/question/30815592
#SPJ11
Urgent!!!
List the assumptions that can be taken into account in torsion analysis.
Answer:
Explanation:
In the development of a torsion formula for a circular shaft, the following assumptions are made: Material of the shaft is homogeneous throughout the length of the shaft. Shaft is straight and of uniform circular cross section over its length. Torsion is constant along the length of the shaft.
Identify the true statements about the blackbody. (Check all that apply.) Check All That Apply A blackbody is a perfect emitter of radiations. A blackbody is a perfect absorber of radiation. A blackbody does not actually exist. O A blackbody has emissivity that is always less than one. A blackbody is an idealized body that emits the maximum amount of radiation that can be emitted by a surface at a given temperature. ㄷ
Following are the true statements about the blackbody: 1. A blackbody is a perfect emitter of radiations. 2. A blackbody is a perfect absorber of radiation. 3. A blackbody is an idealized body that emits the maximum amount of radiation that can be emitted by a surface at a given temperature.
A blackbody is an idealized object that absorbs all incident electromagnetic radiation, regardless of frequency or angle of incidence. It is also an idealized emitter of radiation, and any radiation that is emitted is referred to as blackbody radiation. The following are true statements about blackbodies:
1. A blackbody is a perfect emitter of radiation.
2. A blackbody is a perfect absorber of radiation.
3. A blackbody is an idealized body that emits the maximum amount of radiation that can be emitted by a surface at a given temperature.
4. The emissivity of a blackbody is always equal to one, not less than one.
5. Blackbodies are objects that are considered ideal emitters because they emit electromagnetic radiation at every frequency with perfect efficiency.
You can learn more about Blackbody at: brainly.com/question/28644935
#SPJ11
Blackbody radiation refers to the phenomenon that occurs when a perfect absorber and emitter of energy is placed in a cavity and allowed to come to an equilibrium temperature.
The following statements about the blackbody are true:A blackbody is a perfect emitter of radiationA blackbody is a perfect absorber of radiationA blackbody is an idealized body that emits the maximum amount of radiation that can be emitted by a surface at a given temperatureThus, options (A), (B), and (E) are true statements about the blackbody. The statement in option (C) that "A blackbody does not actually exist" is a common misperception. While it is true that a perfect blackbody does not exist in nature, scientists use an approximation of a blackbody for calculations called a blackbody radiator.Option (D) which states that "A blackbody has emissivity that is always less than one" is false. A blackbody has an emissivity of one (unity) which means that it emits all radiation incident upon it.
To know more about equilibrium visit:
https://brainly.com/question/30694482
#SPJ11
Chapter 5 Mechanism of Rock Breakage Tutorial Questions
1. A rock core 50 mm in diameter and 150 mm long was tested to
destruction in a laboratory. During the test the measurements shown in
the table right were recorded
a. Determine the UCS
Force (kN)
0
85
164
225
300
353
285
(Ans 180MPa, 72GPa)
Longitudinal
deformation (mm)
0
0.090
0.174
0.239
0.318
0.375
0.302
The value of the UCS when a rock core 50 mm in diameter and 150 mm long was tested to destruction in a laboratory is 31.24.
How to explain the informationA unified computing system (UCS) is a data center architecture that combines computing, networking, and storage resources to improve efficiency and enable centralized management. The Unified Computing System is a data center server computer product line comprised of server hardware, software, and services.
In this case, a rock core 50 mm in diameter and 150 mm in length was destroyed in a laboratory. The measurements displayed in the table to the right were taken during the test. The answer is 31.24.
Please see the attached.
Learn more about rock on
https://brainly.com/question/26046551
#SPJ1
2. A F-22 Raptor has just climbed through an altitude of 9,874 m at 1,567 kph when a disk
ruptures in a sensitive piece of optical equipment. As the engineer analyzing the failure
determined the pressure differential across the sensor housing if the inside sensor pressure was
122 kPa.
The pressure difference across the sensor housing will be "95 kPa".
According to the question, the values are:
Altitude,
9874Speed,
1567 kphPressure,
122 kPaThe temperature will be:
→ \(T = 15.04-[0.00649(9874)]\)
→ \(= 15.04-64.082\)
→ \(= -49.042^{\circ} C\)
now,
→ \(P_o = 101.29[\frac{(-49.042+273.1)}{288.08} ]^{(5.256)}\)
→ \(= 27.074\)
hence,
→ The pressure differential will be:
= \(122-27\)
= \(95 \ kPa\)
Thus the above solution is correct.
Learn more about pressure difference here:
https://brainly.com/question/15732832
how would i be able to make a simple mechanism that will feed my bird in a pull of a lever, and know when to refill itself?
Answer: Take two cups. ...
Tie a string to one hole on a cup, then thread it through the hole on one end of a stick.
Tie the end of the string to the other hole in that cup.
Now, take the second cup. ...
Hold the stick on its side, with the cups hanging down. ...
Put weights in the cups to balance.
Explanation:
B/ Evaluate e^(πi/2)
You get a result immediately from Euler's formula:
e ^(i π/2) = cos(π/2) + i sin(π/2) = 0 + i * 1 = i
World Without Engines: Explain what todays world without engines would be like? How would it change your life? The world? The way we do things? Please write in paragraph format and include introduction, body, and conclusion. DON'T ANSWER UNLESS YOU HAVE THE ANSWER!!!!!!!!! I WILL MARK BRAINLYEST
Answer:
the world will not be the same it will change dramticily and
things will not be the same
Explanation:
The acceleration of a particle is defined by the relation a = 9 − 3t2, where a and t are expressed in ft/s2 and seconds, respectively. The particle starts at t = 0 with v = 0 and x = 5 ft. Determine (a) the time when the velocity is again zero, (b) the position and velocity when t = 4 s, (c) the total distance travelled by the particle from t = 0 to t = 4 s.
(a) To find the time when the velocity is again zero, we set the velocity equal to 0 and solve for t:
0 = v0 + at = 9t - 3t^3
Solving for t, we find that t = ±1.
(b) To find the position and velocity when t = 4 s, we first need to find the velocity equation by integrating the acceleration equation:
v = ∫a = ∫(9 - 3t^2)dt = 9t - t^3 + C
Using the initial condition v(0) = 0, we find C = 0 and
v(t) = 9t - t^3
Next, we integrate v(t) to find the position equation:
x = ∫v = ∫(9t - t^3)dt = 3t^2 - t^4 + C
Using the initial condition x(0) = 5, we find C = 5 and
x(t) = 3t^2 - t^4 + 5
Evaluating x(t) and v(t) at t = 4 s, we have:
x(4) = 3(4^2) - 4^4 + 5 = 51
v(4) = 9(4) - 4^3 = -36
(c) To find the total distance travelled by the particle from t = 0 to t = 4 s, we need to find the distance between the initial and final positions:
d = x(4) - x(0) = 51 - 5 = 46 ft
So the total distance travelled by the particle from t = 0 to t = 4 s is 46 ft.
Sandy substrate is susceptible to ______ during an earthquake. a. liquifaction b. displacement c. collapse d. faulting.
Sandy substrate is susceptible to displacement during an earthquake.
What is earthquake?Near the epicenter of an earthquake, there is more shaking to be seen.
A occurrence known as an earthquake occurs when two slabs of the Earth abruptly slide past one another. The earthquake is caused by the abrupt movement of big chunks of the Earth's crust past one another at a fault.Energy from earthquakes is released, causing the ground to shake. The hypocenter or focus of an earthquake is the point on Earth's surface where it first occurs. The epicenter of an earthquake is a location on Earth's surface that is directly above the focus. The strongest shaking happens at and near the epicenter of an earthquake.To learn more about earthquake refer:
brainly.com/question/20409140
#SPJ4
The program will take two integers from the user, say n1 and n2. It will then call the method sum(n1, n2) to calculate the sum of all numbers between n1 and n2, inclusive. The answer returned by the sum( ) method will then be displayed on the screen. For example, if the user enters 5 and 9, the program will print the value of 5+6+7+8+9. On the other hand, if the user enters 5 and -2, the program will print the value of 5+4+3+2+1+0+(-1)+(-2). Note: Do not assume the user will always enter the smaller number first.
The Java program will take two integers from the user and we are not assuming the user will always enter the smaller number first.
Step-by-step coding of the given problem:
import java.util.*;
class main{
public static void main(String args[])
{int n1,n2;
Scanner in=new Scanner(System.in);
System.out.print("Enter the starting number: ");
n1=in.nextInt();
System.out.print("Enter the ending number: ");
n2=in.nextInt();
System.out.println("The sum of the numbers from "+n1+" to "+n2+" is "+sum(n1,n2));
}
public static int sum(int n1, int n2)
{int i,sum=0,start,stop;
start=n2;
stop=n1;
if(n1<n2)
{start=n1;
stop=n2;
}
for(i=start;i<=stop;i++)
sum+=i;
return sum;
}
}
To learn more about Java Programming, visit: https://brainly.com/question/18554491
#SPJ9
Water flows around a 6-ft diameter bridge pier with a velocity of 12 ft/s. Estimate the force (per unit length) that the water exerts on the pier. Assume that the flow can be approximated as an potential fluid flow around the front half of the cylinder, but due to flow seperation, the average pressure on the rea half is constant and approximately equal to 1/2 the pressure at point A.
Answer: hello the diagram related to your question is missing please the third image is the missing part of the question
Fx = 977.76 Ib/ft
Explanation:
Estimate the force that water exerts on the pier
V = 12 ft/s
D( diameter ) = 6 ft
first express the force on the first half of the cylinder as
Fx1 = - \(-2\int\limits^\pi _\frac{\pi }{2} {Ps*cos\beta *a} \, d\beta\) ---------------- ( 1 )
where ; Fy = 0
Ps = Po + 1/2 Pv^2 ( 1 - 4 sin^2β ) ------------- ( 2 )
Input equation (2) into equation ( 1 ) (note : assuming Po = 0 )
attached below is the remaining part of the solution
Many appliances come with___ratings, which mean that the
device or machine will run with fewer associated costs than previous
models.
which of these parts serves as the front end cross structure on most vehicles?
Answer:
Rear body panel. Rear bumper cover. Rear rails.
Explanation:
The body parts that serves as front end cross structures of vehicles are Rear body panel , front bumper and rear nails
What is Front end cross structure of automobilles?Front end cross structures refers to several frontal parts or part that are located at the front of automobilles that define it's appearance and it's effective workability. The frontal parts are essential for the effective running of the vehicles and also define the vehicles appearance.
Therefore, The body parts that serves as front end cross structures of vehicles are Rear body panel , front bumper and rear nails.
Learn more about automobilles below.
https://brainly.com/question/24296216
consider the following fragment of a positional index with the format: word: document: ; document: < position, . . .> . . . gates: 1: <3>; 2: <6>; 3: <2,17>; 4: <1>; ibm: 4: <3>; 7: <14>; microsoft: 1: <1>; 2: <1,21>; 3: <3>; 5: <16,22,51>; the /k operator, word1 /k word2 finds occurrences of word1 within k words of word2 (on either side), where k is a positive integer argument. thus k
The value of k cannot be determined from the given positional index fragment.
How we can the following fragment of a positional index with the format?The value of k is not given in the provided fragment of the positional index.
The positional index fragment lists the occurrences of certain words in various documents, along with the positions where the word appears in each document.
The /k operator is a proximity search operator that finds occurrences of one word within a certain distance (k) of another word. However, the value of k is not specified in the given fragment of the index.
In order to use the /k operator, the value of k must be specified as a positive integer argument.
For example, if we wanted to find occurrences of the word "gates" within 5 words of the word "microsoft", we would use the query "microsoft /5 gates".
Without a specified value of k, we cannot use the /k operator.
In summary, the value of k cannot be determined from the provided fragment of the positional index.
It would need to be specified in order to use the /k operator for proximity searches.
Learn more about index fragment
brainly.com/question/29556646
#SPJ11
One - tenth kilogram of air as an ideal gas with k= 1.4 executes a carnot refrigeration cycle as shown i fig. 5,16, the isothermal expansion occurs at - 23C with a heat transfer to the air of 3.4 kj. The isothermal compression occurs at 27C to a final volume of 0.01m. Using the results of prob. 5.80 adapted to the case, Determine (a) the pressure, in Kpa, at each of the four principal states (b) the work, in KJ for each of the four processes (c) the coefficient of performance
Answer:
Hello your question is incomplete attached below is the missing part
a) p1 = 454.83 kPa, p2 = 283.359 Kpa , p3 = 536.423 kpa , p4 = 860.959kPa
b) W12 = 3.4 kJ, W23 = -3.5875 KJ, W34 = -4.0735 KJ, W41 = 3.5875 KJ
c) 5
Explanation:
Given data:
mass of air ( m ) = 1/10 kg
adiabatic index ( k ) = 1.4
temperature for isothermal expansion = 250K
rate of heat transfer ( Q12 ) = 3.4 KJ
temperature for Isothermal compression ( T4 ) = 300k
final volume ( V4 ) = 0.01m ^3
a) Calculate the pressure, in Kpa, at each of the four principal states
from an ideal gas equation
P4V4 = mRT4 ( input values above )
hence P4 = 860.959kPa
attached below is the detailed solution
b) Calculate work done for each processes
attached below is the detailed solution
C) Calculate the coefficient of performance
attached below is detailed solution
When the psychologist simply records the relationship between two variables...
Relationship between two variables.
The experimental research in psychology aims to analyze the relationships between the various variables. There are two variables such s independent and the dependent variable. The independent in the manipulated variable. Depended is measurable.
Thus the two variables are independent and dependent.
The psychologist can make use of the observations and survey method to record the source of the variables. Such as the independent variable depends on the dependent variable such as a rise in temperature will lead to dryness. The drop in temperature will lead to the cooling effect.Thus the two variables can be recorded by the psychologist.
Learn more about the psychologist.
brainly.com/question/17415314.
what kinds of data would you store in an entity supertype versus an entity subtype?
In an entity supertype, you would store general data attributes shared by all subtypes, while in an entity subtype, you would store specific data attributes unique to each subtype.
An entity supertype is a higher-level, more abstract representation of entities in a database, encompassing common attributes among various entity subtypes. Entity subtypes, on the other hand, represent specific categories within the entity supertype and include unique attributes that are specific to that category.
For example, consider an entity supertype "Vehicle." Attributes like make, model, and year are common to all vehicles, so they would be stored in the supertype. Entity subtypes like "Car" and "Motorcycle" would then inherit these general attributes from the supertype.
Now, the "Car" subtype may have specific attributes like number of doors and seating capacity, while the "Motorcycle" subtype may have attributes like engine type and seat height. These unique attributes would be stored in their respective subtypes.
Using supertypes and subtypes in this way allows for a clear and efficient organization of data in a database. By separating general attributes from specific ones, you can reduce redundancy and maintain consistency in the data structure.
Know more about the entity supertype click here:
https://brainly.com/question/32106466
#SPJ11