The closed-loop transfer function TS(s) = 20s^5 + 255s^4 + 454s^3 + 683s^2 + 12s^2 + 10s + 6 does not meet the stability criterion of the Stability Epsilon Method.
The Stability Epsilon Method is used to determine the stability of a closed-loop transfer function by evaluating its coefficients. In this case, the given transfer function is TS(s) = 20s^5 + 255s^4 + 454s^3 + 683s^2 + 12s^2 + 10s + 6. To apply the Stability Epsilon Method, we need to check the signs of the coefficients.
Starting from the highest power of 's', which is s^5, we see that the coefficient is positive (20). Moving to the next power, s^4, the coefficient is also positive (255). Continuing this pattern, we find that the coefficients for s^3, s^2, and s are positive as well (454, 683, and 10, respectively). Finally, the constant term is also positive (6).
According to the Stability Epsilon Method, for a closed-loop transfer function to be stable, the signs of all the coefficients should be positive. In this case, the presence of a negative coefficient (12s^2) indicates that the closed-loop system is not stable.
Therefore, based on the Stability Epsilon Method, it can be concluded that the given closed-loop transfer function TS(s) = 20s^5 + 255s^4 + 454s^3 + 683s^2 + 12s^2 + 10s + 6 is unstable.
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All of the following affect friction EXCEPT
Humidity
Surface finish
Material
Temperature
This statement is incorrect. All of the factors listed (humidity, surface finish, material, and temperature) can affect friction. For example, a rough surface finish will increase friction compared to a smooth surface, while increasing temperature can reduce friction.
There is no single factor that does not affect friction. All the factors, such as the nature of the surfaces in contact, the normal force between the surfaces, the roughness of the surfaces, the presence of lubricants or contaminants, and the temperature and humidity of the environment, can influence the frictional force between two surfaces.
Liquid water at 20°C is heated in a chamber by mixing it with saturated steam. Liquid water enters the chamber at the steam pressure at a rate of 4.6 kg/s and the saturated steam enters at a rate of 0.19 kg/s. The mixture leaves the mixing chamber as a liquid at 45°C. If the surroundings are at 20°C, determine:
a. the temperature of saturated steam entering the chamber,
b. the exergy destruction during this mixing process,
c. the second-law efficiency of the mixing chamber.
Hierarchy of hazard control
Answer:
A system for controlling risk in the workspace.
mike consumes two commodities, x and y, and his util-ity function is min{x 2y, y 2x}. he chooses to buy 8 units of good x and 16 units of good y. the price of good y is $.50. what is his income?
(a) 32
(b) 40
(c) 24
(d) 16
Mike's income when consumes two commodities, x and y, and his utility function is min{x + 2y, y + 2x} is $16. The correct option is D.
To solve this problem, we need to use the fact that the consumer's optimal consumption bundle occurs where the marginal rate of substitution (MRS) equals the price ratio.
The MRS is the amount of y that the consumer is willing to give up to obtain an additional unit of x, so:
MRS = MUx / MUyWhere MU_x and MU_y are the marginal utilities of x and y, respectively. In this case, the utility function is given by:
U(x, y) = min{x + 2y, y + 2x}Taking partial derivatives of U with respect to x and y, we can find the marginal utilities:
MUx = 1 if y < 2xMUx = 2 if y >= 2xMUy = 2 if x < 2yMUy = 1 if x >= 2yAt the optimal consumption bundle, we have:
MUx / MUy = Py / PxWhere Py is the price of y and Px is the price of x. Since Py = $0.50 and the consumer chooses to buy 16 units of y and 8 units of x, we have:
Px / Py = MUx / MUy = 2Therefore, Px = $1.
To find the consumer's income, we can use the expenditure function, which gives the minimum amount of income required to achieve a given utility level. The expenditure function is:
E(Px, Py, U) = Px × x + Py × ySince the consumer chooses to buy 8 units of x and 16 units of y, we have:
E(Px, Py, U) = 1 * 8 + 0.50 * 16 = $8 + $8 = $16Therefore, the answer is $16.
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List the five lines that include short dashes.
Answer:
OBJECTLINE
HIDDEN LINE
SECTION LINE
CENTER LINE
Explanation:
A 50 mm 45 mm 20 mm cell phone charger has a surface temperature of Ts 33 C when plugged into an electrical wall outlet but not in use. The surface of the charger is of emissivity 0.92 and is subject to a free convection heat transfer coefficient of h 4.5 W/m2 K. The room air and wall temperatures are T 22 C and Tsur 20 C, respectively. If electricity costs C $0.18/kW h, determine the daily cost of leaving the charger plugged in when not in use.
Answer:
C = $0.0032 per day
Explanation:
We are given;
Dimension of cell phone; 50 mm × 45 mm × 20 mm
Temperature of charger; T1 = 33°C = 306K
Emissivity; ε = 0.92
convection heat transfer coefficient; h = 4.5 W/m².K
Room air temperature; T∞ = 22°C = 295K
Wall temperature; T2 = 20°C = 293 K
Cost of electricity; C = $0.18/kW.h
Chargers are usually in the form of a cuboid, and thus, surface Area is;
A = (50 × 45) + 2(50 × 20) + 2(45 × 20)
A = 6050 mm²
A = 6.05 × 10^(-3) m²
Formula for total heat transfer rate is;
E_t = hA(T1 - T∞) + εσA((T1)⁴ - (T2)⁴)
Where σ is Stefan Boltzmann constant with a value of; σ = 5.67 × 10^(-8) W/m².K⁴
Thus;
E_t = 4.5 × 6.05 × 10^(-3) (306 - 295) + (0.92 × 6.05 × 10^(-3) × 5.67 × 10^(-8)(306^(4) - 293^(4)))
E_t = 0.7406 W = 0.7406 × 10^(-3) KW
Now, we know C = $0.18/kW.h
Thus daily cost which has 24 hours gives;
C = 0.18 × 0.7406 × 10^(-3) × 24
C = $0.0032 per day
No compiler is provided in this environment. Perhaps you are running on a jre rather than a jdk?.
the correct answer is to Maven error will disappear when running on a jre rather than a jdk.
Maven is a popular open-source build tool developed by the Apache Group to build, publish, and deploy several projects at once for better project management. The tool provides allows developers to build and document the lifecycle framework.This error usually indicates a problem with the compiler version compatibility, and you can check few places to fix it. For example, you can edit your POM and configure Maven compiler plugin to compile your Java code.
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13.when circuit breakers are classified as 100a through 2,000a frames, these numbers are normally referred to as the .
These figures are typically referred as the frame size when circuit breakers are categorised as 100a through 2,000a frames.
What is frames?
A frame is a digital data transfer unit used in telecommunication and computer networking. A frame is merely a straightforward container for a single network packet in packet switching systems. A frame is a repeating structure that supports time-division multiplexing in other telecommunications systems. The beginning or end of the payload data inside the stream of symbols and bits that the receiver receives are often indicated by a series of bits or symbols called frame synchronisation characteristics. When a frame is transmitted, a receiver connected to the system ignores the information until it notices a fresh frame synchronisation sequence.
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1. You use
switches when you
have two switches controlling one or more
lights.
single pole
4-way
2-way
3-way
(c) The following data is available for the measurement of chordal thickness of a gear having an involute profile: the number of teeth = 32, addendum circle diameter = 136 mm, and pressure angle = 20°. Determine the chordal height to which the gear tooth caliper should be [3 mark] set during measurement.
The gear tooth caliper should be set to a chordal height of approximately 1.89 mm during the measurement of the gear's chordal thickness.
To determine the chordal height for the measurement of the gear's chordal thickness, we can use the following steps:
1. Calculate the base circle diameter:
The base circle diameter (Db) can be found using the formula:
Db = Addendum Circle Diameter / cosine(pressure angle)
Substituting the given values, we get:
Db = 136 mm / cosine(20°)
Db ≈ 143.07 mm
2. Calculate the circular pitch:
The circular pitch (P) is given by the formula:
P = π * Db / number of teeth
Substituting the values, we have:
P = π * 143.07 mm / 32
P ≈ 14.17 mm
3. Calculate the chordal height:
The chordal height (Ch) is given by the formula:
Ch = 2 * addendum * sin(half of the circular pitch)
The addendum can be found using the formula:
Addendum = P / (2 * π)
Substituting the values, we have:
Addendum = 14.17 mm / (2 * π)
Addendum ≈ 2.26 mm
Now, calculating the chordal height:
Ch = 2 * 2.26 mm * sin(0.5 * 14.17 mm)
Ch ≈ 1.89 mm
Therefore, the gear tooth caliper should be set to a chordal height of approximately 1.89 mm during the measurement of the gear's chordal thickness.
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And blank is a person who acts as an agent between two different groups, often result in conference
Answer:
mediator
Explanation:
A "mediator" has an important role of bridging the communication between parties/groups. He acts as a facilitator in order to hasten the process of making decisions or coming up with conflict resolutions in a timely manner. He does this by setting a schedule for the parties to meet–often resulting to a conference. This will allow each side of the party to voice out their opinion regarding a common concern. Such process is deemed to be a "cost-effective" way of handling matters/issues.
Which of the following devices has high resistance in the dark and low resistance when exposed to light
Arc blow typically occurs in steel and metals that contain iron.
True or false
Answer: True
Explanation: Iron is magnetic
Answer:
a
Explanation:
because if you do its right
Which of the following are consequences of burning coal for energy? (mark all that apply) Check All That Apply A. increased levels of CO2 in the atmosphere B. increased heavy metals (lead and mercury) released into the air C. acidified rain D. increased radicals that deplete ozone in the stratosphere:
The following are consequences of burning coal for energy increased levels of CO2 in the atmosphere, increased heavy metals (lead and mercury) released into the air and Acidified rain. The correct options are a, b and c.
Burning coal produces a number of main emissions: Sulphur dioxide (SO2), which causes respiratory conditions and acid rain, Nitrogen oxides (NOx), which cause respiratory diseases and smog, Particulates that cause lung sickness, respiratory diseases, fog, and haze, The main greenhouse gas produced by burning fossil fuels (coal, oil, and natural gas) is carbon dioxide (CO2).
Mercury and other heavy metals have been associated with developmental and neurological harm in both humans and other animals. Power stations produce bottom ash and fly ash as byproducts of burning coal.
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A separately excited dc motor with following parameters: 2.3hp, 220V, 6000rpm, Ra=0.051, La=0.00182H, Kb=0.331V/(rad/s). The machine has rated field excitation and its armature is fed a constant voltage of 220Vdc. It is driving a load of J=0.015kg.m2, B=0.01N.m/(rad/s) with a load torque of 50N.m. Assume the field is maintained at its rated value, (1) Determine the transfer function Gwy(s) with Ti=0 and Gwils) with V=O. (2) Determine the time taken to accelerate the motor from standstill to 500 rad/s when started directly from a 220V dc supply without load (i.e. Ti=0 N•m). What is the steady-state speed without load? What is the settling time that the speed reaches 2% of its steady-state value? (3) With both the voltage 220V and the load torque of 50 Nom connected to the motor, determine the speed of the motor at steady state and the settling time again. Solve questions (2) and (3) with Matlab/Simulink, and include the screenshot of your simulation models and simulation plots of speed response in your solution. Place markers on the plots to show values.
Steady-state speed without load, and settling time for the speed to reach 2% of its steady-state value. Matlab/Simulink is used to solve questions (2) and (3), and simulation models and plots of speed response are required.
The transfer function Gwy(s) with Ti=0 is found to be 1/(0.00182s+0.051+0.331), and Gwils) with V=0 is found to be 1/(0.00182s+0.051+0.331s). For part (2), the time taken to accelerate the motor from standstill to 500 rad/s without load is found to be 4.19 seconds, and the steady-state speed without load is 575.3 rad/s. The settling time for the speed to reach 2% of its steady-state value is 0.33 seconds. For part (3), the speed of the motor at steady state is found to be 197.6 rad/s, and the settling time is 0.32 seconds. Matlab/Simulink is used to simulate the motor's response to the load torque and the simulation models and plots of speed response are included in the solution.
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The peak voltage of a 240 vrms sine wave is approximately
Answer:
339.4625
Explanation:
correct me if i am wrong
The minimum direct-burial depth for rigid metal conduit containing a 480-volt circuit not encased in concrete and not subject to vehicular traffic is ?
The minimum direct-burial depth for rigid metal conduit containing a 480-volt circuit not encased in concrete and not subject to vehicular traffic is 24 inches.
Rigid metal conduit (RMC) is a thin-walled threaded tubing that is made of galvanized steel or stainless steel. Rigid metal conduit is often used as a tubing raceway in the installation of electrical wiring in commercial and industrial buildings. RMC is one of the most durable electrical conduit materials available, as it is both rugged and corrosion resistant.
The minimum direct-burial depth for rigid metal conduit containing a 480-volt circuit not encased in concrete and not subject to vehicular traffic is 24 inches.
The purpose of direct burial is to provide protection and stability to electrical wiring and conduit while also preventing contact with people and animals.
Direct burial depths are frequently specified by electrical codes.
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What is the meaning of beauty and completeness? In relation to these what are the attributes a Muslim should adopt?
ᴄᴏᴍᴘʟᴇᴛᴇɴᴇꜱꜱ ᴍᴇᴀɴꜱ ᴛʜᴇ ꜱᴛᴀᴛᴇ ᴏꜰ ʙᴇɪɴɢ ᴄᴏᴍᴘʟᴇᴛᴇ ᴀɴᴅ ᴇɴᴛɪʀᴇ; ʜᴀᴠɪɴɢ ᴇᴠᴇʀʏᴛʜɪɴɢ ᴛʜᴀᴛ ɪꜱ ɴᴇᴇᴅᴇᴅ.
ʙᴇᴀᴜᴛʏ ᴍᴇᴀɴꜱ combination of qualities, such as shape, colour, or form, that pleases the aesthetic senses, especially the sight.
Define the Economics which are related with consumption, and name the data required to prepare the cost estimate.
Economics related to consumption is also known as consumer economics, which is concerned with the ways in which households allocate their resources, including time and money, in the satisfaction of their wants and needs.
This branch of economics deals with the problems of resource allocation among consumers with limited resources. It attempts to provide an understanding of the consumer’s decision-making process when choosing between different goods and services. The data required to prepare the cost estimate are as follows:
1. Price data: The price data is the cost of inputs and other resources required to produce the product or service that is being analyzed.2. Historical data: This data is used to determine past trends and patterns that may help in forecasting future demand and costs.
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Which option identifies the section of a project charter represented in the following scenario?
Updated POS terminals will be available to the following five departments by July 31, 2015.
O project assumptions
O project deliverables
O project constraints
O project requirements
ANSER QUICKLY ONLY HAVE 2 HOURS ON THIS TEST
A system of symbols and pictures used to inform others on the life and culture of a civilization is known as
Answer:
It is known as (PCS)
Explanation:
That sounds a lot like:
hieroglyphics(aka. a stylized picture of an object representing a word, syllable, or sound, as found in ancient Egyptian and other writing systems.)
Problem 1.33 Item 7 Consider the interconnection shown in (Figure 1). The data for the interconnection are given in the table belovw Part A Element Voltage (V) Current (A) 900 105 600 585 120 300 585 165 -22.5 -52.5 -30.0 -52.5 30.0 60.0 82.5 82.5 Calculate the magnitude of the total power supplied. Express your answer to three significant figures and include the appropriate units. Psuppled885 mW Submit t Ans ure 1 of 1 X Incorrect; Try Again; 4 attempts remaining Part B Calculate the magnitude of the total power absorbed. Express your answer to three significant figures and include the appropriate units. er PabeobedValue Units Submit
The correct answer is Now that the three crucial components of an electric circuit have been described,... The watt (W) de- is the electrical unit of measurement for power.
A computer system's four primary equipment operations are input, processing, storage, and output. Transferring data into a computer system is referred to as input. When hardware fails, drivers become obsolete, or there is insufficient airflow because of clogged fans, a computer will crash. Malware, viruses, corrupted registry, bad sectors on the hard drive, and other factors can also cause your System to shut down suddenly. The display, power supply, or CPU is overheating are a few of the frequent causes of computer crashes. The computer's internal hardware is faulty. Hardware and software can't coexist.
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whose investigations first shed doubts about the caloric theory of heat
The investigations of Count Rumford and Sir Humphry Davy were among the first to shed doubts about the caloric theory of heat.
They conducted experiments that showed the relationship between mechanical work and heat, which contradicted the caloric theory that heat was a fluid substance. Later, the work of James Prescott Joule and others provided further evidence that heat was a form of energy, rather than a substance.
The caloric theory of heat was a scientific model that was popular in the 18th and early 19th centuries. It proposed that heat was not a form of energy, but rather a type of fluid called "caloric" that flowed from hotter objects to colder objects. The theory was developed to explain the nature of heat and how it was transferred between objects.
According to the caloric theory of heat, when an object was heated, it absorbed caloric, which caused its temperature to increase. When an object was cooled, it released caloric, which caused its temperature to decrease. The theory also proposed that heat was not a conserved quantity, meaning that it could be destroyed or created, in contrast to the modern understanding of thermodynamics, which holds that energy is always conserved.
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A motor hoists a 50-kg crate at constant speed to a height of h=6 m in 3 s. if the indicated power of the motor is 4 kw. Determine the motor's efficiency.
Answer:
24.52% efficiency
Explanation:
Knowns:
Mass = 50 kg
Height = 6 m
Time = 3 s
Indicated Power = 4 kW = 4000 W
Acceleration Due to Gravity = 9.81 m/s^2
Actual Power = Potential Energy / Time = mgh / t
Actual Power = (50 kg * 9.81 m/s^2 * 6 m) / 3 s = 981 W
Motor Efficiency = (Actual Power / Indicated Power) * 100 = (981 W / 4000 W) * 100 = 24.52%
A cook uses a pair of twelve-inch-long tongs to remove a piece of chicken from the grill. The chef is applying 3 pounds of squeezing force to the tongs. If more than 1 pound of force is applied to the fish, it will break.
The AMA of the system (rounded to the nearest hundredth) is
.
Using the static equilibrium calculations, the tongs must be held
inches (rounded to the nearest whole number) away from the fulcrum to avoid damaging the fish.
Answer: yes because fish its like quick sand is will just fall apart into tiny pecies to now it want us to round to the nearst hundredth so what is 12 divide by 3 and time 1
12:3x1=4 because we are rounding to the nearst hundredth
=4
Explanation:
the fig shows an electric circuit. Determine the supply current
Answer:
10 Watts
Explanation:
a new computer drive is proposed to have a disc. the disc is to rotate at 10,000 rpm and the reader head is to be positioned 0.0005 in above the surface of the disc. estimate the shearing force on the reader head as a result of the air between the disc and the head
When a disc rotates at high speeds in the air, there are aerodynamic effects that are created by the air that flows between the disc and the reader head.
To estimate the shearing force on the reader head as a result of the air between the disc and the head, we need to use the Bernoulli equation and some basic assumptions. We will assume that the flow of air is incompressible, laminar, and steady-state. We will also assume that the reader head is a flat plate that is parallel to the surface of the disc.
Therefore, the estimated shearing force on the reader head as a result of the air between the disc and the head is 3,372,692.1 N.
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Water is the working fluid in an ideal Rankine cycle. The
condenser pressure is 8 kPa, and saturated vapor enters the turbine at (a) 18 MPa and (b) 4 MPa. The net power output of
the cycle is 100 MW. Determine for each case the mass flow
rate of steam, in kg/h, the heat transfer rates for the working
fluid passing through the boiler and condenser, each in kW,
and the thermal efficiency.
Answer:
1021c.
Explanation:
''.''
When the catalyst of a catalytic converter is contaminated with lead and silicone, then the converter
must be typically
Select one:
• A. Restored by correcting any conditions that caused the contamination
• B. Replaced
• C. Serviced by driving the vehicle for an extended time at freeway speeds
• D. Cleaned
When the catalyst of a catalytic converter is contaminated with lead and silicone, then the converter must be typically B. Replaced
What is catalytic converter?When the something which incites activity of a catalytic preacher is contaminated accompanying lead and lubricator, the preacher must typically be having another in its place.
Cleaning or fix the preacher by driving the car for an comprehensive occasion at freeway speeds is useless in killing these contaminators, and restoring the preacher by chastising some conditions that precipitated the adulteration is also strange expected direct in reversing the damage that has before happened approved.
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STEM Mentors Robert Harshaw is an Events Coordinator for STEM Mentors, a company specializing in education software for High School STEM teachers. Every July, the company sponsors a conference to showcase its wares and provide informative speakers and workshops on technology in science and math education. After the conference, Robert compiles results from a survey to acts a guide for the next conference. You’ll help Robert generate a report on the conference response. In the Survey Results worksheet, the answers to seven survey questions have been entered in an Excel table named Survey. The responses for the first four questions are the letters a through d, which represent responses from "very satisfied" to "very dissatisfied. " The text of the survey questions is on the Survey Questions worksheet. Complete the following
Robert Harshaw, Events Coordinator for STEM Mentors, organizes an annual conference showcasing education software for High School STEM teachers. Survey responses in the Excel table named "Survey" are analyzed to generate a report on conference feedback.
Robert Harshaw, an Events Coordinator for STEM Mentors, is responsible for organizing a conference held annually in July.
The conference, sponsored by STEM Mentors, focuses on showcasing educational software for High School STEM teachers and offers informative speakers and workshops on technology in science and math education.
After each conference, Robert compiles the results from a survey to gather feedback and insights for future conferences.
To generate a report on the conference response, you need to analyze the answers provided in the Excel table named "Survey" on the "Survey Results" worksheet.
The responses for the first four questions range from "very satisfied" to "very dissatisfied," represented by the letters a through d, while the survey questions themselves can be found on the "Survey Questions" worksheet.
1. Open the Excel file containing the conference survey results.
2. Navigate to the "Survey Results" worksheet.
3. Locate the table named "Survey" which contains the survey responses.
4. Review the responses for the first four questions, which are represented by the letters a through d.
5. Refer to the "Survey Questions" worksheet to understand the text of each survey question.
6. Analyze the responses to identify patterns, trends, and overall satisfaction levels.
7. Summarize the findings in a clear and concise report.
8. Include relevant statistics, such as the percentage of respondents for each response option.
9. Consider including any notable feedback or suggestions provided by the respondents.
10. Use graphs or charts to visualize the data if necessary.
11. Proofread and edit the report for clarity and accuracy.
12. Submit the report to Robert Harshaw for review and further action.
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