The value of the resistor is 3.98Ω, the inductor value is 25.19mH, and the capacitor value is 0.00015915511F.
In order to design a low pass filter using a parallel RLC circuit with the given transfer function and km = 1000, the following steps can be followed:Step 1: Convert the transfer function to standard form1/(R s C + 1)Step 2: Equate the coefficients of the transfer function with the standard form1/(R s C + 1) = km/(L s² + R s + 1/C)Comparing both sides of the equation, we get:L = 51,620,410.4R = 10,160.749C = 1/(km × 2π) = 1/(1000 × 2π) = 0.00015915511Step 3: Calculate the inductor valueThe inductor value can be calculated using the formula: ω = 1/√LC, where ω = 2πf = 2π × 1kHz = 6.283kHzTherefore, L = 1/(Cω²) = 0.02519H = 25.19mH
Step 4: Calculate the resistor valueThe resistor value can be calculated using the formula: R = ωL/Q, where Q = 1/R√LCQ is the quality factor of the circuitQ = km/(R√L/C) = 1000/(10,160.749 × √(51,620,410.4 × 0.00015915511)) = 1.0047Therefore, R = ωL/Q = 3.98ΩStep 5: Calculate the capacitor valueThe capacitor value is already given as 0.00015915511F
Step 6: Draw the parallel RLC circuitThe circuit diagram is shown below:
In this circuit, R = 3.98Ω, L = 25.19mH, and C = 0.00015915511F, which form a low pass filter. The circuit is designed to allow frequencies below 1kHz to pass through and block higher frequencies.
Answer:In designing a low pass filter using a parallel RLC circuit with the given transfer function and km = 1000, the steps that can be followed include; converting the transfer function to standard form, equating the coefficients of the transfer function with the standard form, calculating the inductor value, calculating the resistor value, calculating the capacitor value, and drawing the parallel RLC circuit. The value of the resistor is 3.98Ω, the inductor value is 25.19mH, and the capacitor value is 0.00015915511F. The circuit is designed to allow frequencies below 1kHz to pass through and block higher frequencies.
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A 6-cm-diameter horizontal water jet having a velocity of 25 m/s strikes a vertical stationary
flat plate. The water splatters in all directions in the plane of the plate. ANALYZE the linear
momentum equation for a fixed control volume to find; the amount of force required to hold
the plate against the water stream? Take the density of water to be 1000 kg/m3
The velocity ratio of a chain drive is 10. The diameter of the input sheave is 38 cm and it is rotating at a speed of 22 rad⁄s. Find the diameter of the output sheave and its angular velocity
In a chain drive, the velocity ratio is the ratio of the output velocity to the input velocity. It is denoted by the symbol V.R. The formula for velocity ratio is V.R. = output velocity/input velocity.In this problem, the velocity ratio of the chain drive is given as 10.
Therefore, the output velocity is 10 times the input velocity. The diameter of the input sheave is 38 cm and it is rotating at a speed of 22 rad/s. To find the diameter of the output sheave and its angular velocity, we need to use the formula for velocity ratio and the formula for linear velocity.Linear velocity is the velocity of a point on a rotating object.
It is given by the formula v = ωr, where v is the linear velocity, ω is the angular velocity, and r is the radius or distance of the point from the axis of rotation.Velocity ratio = Output velocity/Input velocityV.R. = ω2r2/ω1r1Where ω1 is the angular velocity of the input sheave, r1 is the radius of the input sheave, ω2 is the angular velocity of the output sheave, and r2 is the radius of the output sheave.
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If a machine guard is missing or needs repair, you should ______________.
A) Ignore it
B) Immediately remove that machine from service
C) Continue using the machine
D) Tell someone when you get around to it
(This is for my Automotive class)
Answer:B
Explanation:
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
A cylindrical rod of copper (E = 110 GPa) having a yield strength of 240 MPa is to be subjected
to a load of 6660 N. If the length of the rod is 380 mm, what must be the diameter to allow an
elongation of 0.50 mm?
Answer:
"7.654 mm" is the correct solution.
Explanation:
According to the question,
\(E=110\times 10^3 \ N/mm^2\)\(\sigma_y = 240 \ mPa\)\(P = 6660 \ N\)\(L = 380 \ mm\)\(\delta = 0.5 \ mm\)Now,
As we know,
The Elongation,
⇒ \(E=\frac{\sigma}{e}\)
\(=\frac{\frac{P}{A} }{\frac{\delta}{L} }\)
or,
⇒ \(\delta=\frac{PL}{AE}\)
By substituting the values, we get
\(0.5=\frac{6660\times 380}{(\frac{\pi}{4}D^2)(110\times 10^3)}\)
then,
⇒ \(D^2=58.587\)
\(D=\sqrt{58.587}\)
\(=7.654 \ mm\)
Segment A in the urban four-lane divided arterial reference population will be screened by the "Excess Predicted Average Crash Frequency Using SPFs" performance measure. Segment A is 0.60 mi long. If the sliding window method is used to study this segment with a window of 0.30-mi and 0.10-mi increment, how many times will the performance measure be applied on Segment A?
The sliding window technique is utilized to identify the crash frequency of a certain region. A performance measure called "Excess Predicted Average Crash Frequency Using SPFs" will be used to screen Segment A in the urban four-lane divided arterial reference population.
The segment is 0.60 mi long. Let's determine the number of times the performance measure will be applied to Segment A using the sliding window method.In 0.30-mi windows, the section is analyzed. The increment is 0.10 miles long. As a result,0.30 mi long window = 0.60 / 0.30 = 2 windows.0.10 miles long increment = 0.60 / 0.10 = 6 increments.So, the total number of applications = number of windows × number of increments in each window= 2 × 6= 12.The performance measure will be used 12 times on Segment A. Answer: In 200 words. The sliding window technique is utilized to identify the crash frequency of a certain region. A performance measure called "Excess Predicted Average Crash Frequency Using SPFs" will be used to screen Segment A in the urban four-lane divided arterial reference population. The segment is 0.60 mi long. Let's determine the number of times the performance measure will be applied to Segment A using the sliding window method.In 0.30-mi windows, the section is analyzed. The increment is 0.10 miles long. As a result,0.30 mi long window = 0.60 / 0.30 = 2 windows.0.10 miles long increment = 0.60 / 0.10 = 6 increments.So, the total number of applications = number of windows × number of increments in each window= 2 × 6= 12.The performance measure will be used 12 times on Segment A.
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Write the different professions and human resources related to engineering and expalin any two of them?
Answer:
some of the professions and human resource related to engineering are:
Aerospace engineerAgricultural engineer Electrical engineer computer engineerproject Manger construction site engineer/supervisorAerospace engineering involves the study, design and development of spacecrafts using Core science principles.
Electrical engineering involves the study and application of core science principles especially physics and mathematics into providing Electrical related solutions
Explanation:
Engineering is a major branch of applied science. In general Engineering is concerned with the design and building of engines ( i.e. application of scientific/science facts )
some of the professions and human resource related to engineering are:
Aerospace engineerAgricultural engineer Electrical engineer computer engineerproject Manger construction site engineer/supervisorAerospace engineering involves the study, design and development of spacecrafts using Core science principles.
Electrical engineering involves the study and application of core science principles especially physics and mathematics into providing Electrical related solutions
rite a recursive function. power, that takes as parameters two integers x and y such that x is nonzero and returns xy. You can use the following recursive definition to calculate xy. If y 0. power(x, y) = 1 if y =0 x if y =1 x power(x, y - 1) if y>1. if y<0. power(x, y)=1/power(x, -y) Also, write a program to test your function
Here's a recursive function called "power" that takes two integers "x" and "y" as parameters and returns x^y:
```
def power(x, y):
if y == 0:
return 1
elif y == 1:
return x
elif y > 1:
return x * power(x, y-1)
else:
return 1 / power(x, -y)
```
This function uses the recursive definition you provided to calculate x^y. If y is 0, it returns 1 (since any number raised to the power of 0 is 1). If y is 1, it returns x (since any number raised to the power of 1 is itself). If y is greater than 1, it calculates x times the result of calling the power function recursively with x and y-1 as parameters. If y is less than 0, it calculates 1 divided by the result of calling the power function recursively with x and -y as parameters (since x^-y is the same as 1/x^y).
Here's a program that tests the power function with some example inputs:
```
print(power(2, 0)) # expected output: 1
print(power(2, 1)) # expected output: 2
print(power(2, 5)) # expected output: 32
print(power(3, -2)) # expected output: 0.1111111111111111
```
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in this diode circuit, what is the value of the load voltage v subscript r for v subscript i equals minus 5 v and v subscript i equals space 5 v? assume si diode with v subscript d 0 end subscript equals 0.7 space v. instructions: assume an on or off state for the diode and using the developed piecewise linear model for the diode, write the corresponding diode current and voltage equations for each state. write a kvl for the circuit and find the diode voltage and current. use the inequality in the piecewise linear model to check the calculated diode current or voltage values. the above steps should be repeated for each one of the given vi values. after you solved the problem, choose the option that has the correct statement. the statements in three out of four options are incorrect.
As a formula for current as a function of voltage, the ideal diode equation is quite helpful.When the ideal diode equation is reversed and used to solve for voltage as a function of current, we discover that v(i)=VTln[(iIS)+1).
How do you calculate the value of a diode?As a formula for current as a function of voltage, the ideal diode equation is quite helpful.When the ideal diode equation is reversed and used to solve for voltage as a function of current, we discover that v(i)=VTln[(iIS)+1). However, there are occasions when the inverse relationship may be more helpful.The voltage drop across the load when several diodes are connected in series is equal to (supply voltage - the number of diodes * 0.7).Taking figure 1 as an example, the voltage drop across the diode D1 is (5.0.7) = 4.3 V.D2 has a voltage drop of (5-2 * 0.7) = 3.6 V.Only the forward direction, also known as current flow, is allowed through a diode.To learn more about ideal diode equation refer
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how is the efficiency of cooling equipment measured? is using integrated part load values a good way to define the efficiency of large cooling equipment ? why or why not
The EER is a metric for how effectively an air conditioning system can cool a space per unit of power used. It is computed by dividing the amount of cooling capacity an AC delivers per hour by the watts of electricity used.
To determine an air conditioner's EER, measurements taken on the warmest day of the year are often used. EER, in its simplest form, aims to provide consumers with a sense of the cooling power they may anticipate from an AC for every dollar spent on electricity.
Ratio of Seasonal Energy Efficiency (SEER)
SEER provides the average efficiency for the entire season, making it a more dependable efficiency rating for air conditioners than EER, which only assesses the energy efficiency of the AC on the hottest day of the season. It is calculated by dividing the AC's output power (measured in BTUs) over the course of a season by the total energy the machine used during that same period.
Developed by the EPA, this efficiency rating is well-known. The performance and energy efficiency of HVAC systems with the Energy Star rating are often tested to see if they can provide consumers with excellent value while helping to reduce national energy consumption. Although some gadgets cost a little bit more than their less efficient equivalents, the price difference can easily be made up for in energy savings over time.
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Suppose a supermarket needs to store number of units sold of a particular product in their 20 locations. Which the following would be the best data structure to use and why?
when working with the capm, which of the following factors can be determined with the most precision?
The risk-free rate of return can be determined with the most precision when working with the CAPM.
What is the most accurately determinable factor in the CAPM framework?When working with the CAPM, one factors that can be determined with the highest level of precision is the risk-free rate of return. This refers to the theoretical return an investor would receive from an investment with zero risk, such as a government treasury bond. The risk-free rate serves as a baseline for evaluating the expected return of a risky investment.
It provides a reference point for assessing the excess return required to compensate for the additional risk undertaken. Since the risk-free rate is typically based on well-established market instruments and can be observed directly, it can be determined with greater precision compared to other variables in the CAPM, such as the expected market return or the beta coefficient.
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giving a matrix for example a=[1 1 1 1 ;0 2 1 2 ;0 0 0 0; 2 3 1 0; 0 0 0 1];
I want to find a patter of the number for example extra patter one and 0 ([1 0]
I want to out put the location of the pattern happens in a excel and text format.
USE MATLAB
Using MATLAB, you can find the location of a specific pattern, such as the pattern [1 0], in a matrix and output the results in both Excel and text formats.
To find the location of a specific pattern in a matrix, you can use the 'strfind' function in MATLAB. The 'strfind' function is typically used to search for a substring within a string, but it can also be used to find a pattern within a matrix.
In this case, the pattern you are looking for is [1 0]. To find the location of this pattern in the matrix 'a', you can convert the matrix to a string representation using the 'num2str' function. Then, you can use 'strfind' to search for the pattern in the string representation of the matrix.
Once you have the indices of the pattern occurrences, you can export the results to an Excel file using the 'xlswrite' function or to a text file using the 'fprintf' function.
By using these MATLAB functions, you can efficiently find the location of the pattern [1 0] in the matrix 'a' and export the results in both Excel and text formats.
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A heating system must maintain the interior of a building at TH = 20 °C when the outside temperature is TC = 2 °C. If the rate of heat transfer from the building through its walls and roof is 16.4 kW, determine the electrical power required, in kW, to heat the building using (a) electrical-resistance heating, (b) a heat pump whose coefficient of performance is 3.0, (c) a reversible heat pump operating between hot and cold reservoirs at 20 °C and 2 °C, respectively.
Answer:
a)\(Q_H=16.4kW\)
b) \(w=5.467\)
c) \(w=1.2345\)
Explanation:
From the question we are told that:
Interior temperature \(TH = 20 °C\)
outside temperature is \(TC = 2 °C\)
Rate \(H=16.4kW\)
a)
Generally electric resistance heating is the heat transfer from interior building
Therefore
\(Q_H=R\)
\(Q_H=16.4kW\)
b)
COP =3
Generally the equation for coefficient of performance is mathematically given by
\(COP=\frac{Q_H}{w}\)
Therefore
\(w=\frac{Q_H}{COP}\)
\(w=16.4/3\)
\(w=5.467\)
c)
Generally the equation for coefficient of performance is mathematically given by
\(COP_r=\frac{TH}{TH-TC}\)
\(COP_r=\frac{20+273}{(20+273)-(2+273)}\)
\(COP_r=16.2\)
Therefore
\(w=1.2345\)
\(w=20/16.2\)
\(w=1.2345\)
A motor enclosure that incorporates a separate motor-driven blower mounted on the enclosure is
O air-cooled.
nonventilated.
Opipe-ventilated.
O externally ventilated.
ventilated.
A motor enclosure that incorporates a separate motor-driven blower mounted on the enclosure is Ventilated.
What is motor enclosure?Motor enclosure is a protective box or housing that is used to protect electric motors and their components from dust, dirt, moisture, and other environmental elements. It is also used to prevent accidental contact with the moving parts of the motor. Motor enclosure is important in ensuring the safe operation of an electric motor and can help extend the life of the motor. The most common types of motor enclosures include open drip proof (ODP), totally enclosed fan cooled (TEFC), and totally enclosed non-ventilated (TENV). Depending on the environment and application, a different type of motor enclosure may be needed to ensure optimal performance and safety.
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7.6 (A) One axis of the worktable in a CNC positioning system is driven by a ball screw with a 7.5-mm pitch. The screw is powered by a stepper motor which has 120 step angles using a 5) 1.8 2:1 gear reduction (two turns of the motor for each turn of the ball screw). The worktable is programmed to move a distance of 350 mm from its present position at a travel speed of 1,000 0 mm/min.(a) How many pulses are required to move the table the specified distance? (b) What is the required motor rotational speed and (c) pulse rate to achieve the desired table speed?
The required motor rotational speed to achieve the desired table speed is approximately 0.148 rotations/sec, and the pulse rate is approximately 0.444 pulses/sec.
To determine the number of pulses required to move the table the specified distance, we can use the following formula:
Number of pulses = (Distance / Pitch) * (Motor Step Angle / Gear Reduction)
(a) Calculating the number of pulses:
Distance = 350 mm
Pitch = 7.5 mm
Motor Step Angle = 120 degrees
Gear Reduction = 5:1 (two turns of the motor for each turn of the ball screw)
Number of pulses = (350 / 7.5) * (120 / 5)
Number of pulses = 1866.67
Therefore, approximately 1867 pulses are required to move the table the specified distance.
(b) To calculate the required motor rotational speed, we can use the formula:
Motor rotational speed = (Pulse rate * Motor Step Angle) / 360
Given that the travel speed is 1000 mm/min, we need to convert it to mm/sec:
Travel speed = 1000 mm/min = 1000 / 60 mm/sec ≈ 16.67 mm/sec
(c) Calculating the pulse rate:
Pulse rate = Travel speed / Distance per pulse
Distance per pulse = Pitch * Gear Reduction
Distance per pulse = 7.5 mm * 5
Distance per pulse = 37.5 mm
Pulse rate = 16.67 mm/sec / 37.5 mm
Pulse rate ≈ 0.444 pulses/sec
Using the pulse rate, we can calculate the required motor rotational speed:
Motor rotational speed = (0.444 * 120) / 360
Motor rotational speed ≈ 0.148 rotations/sec
Therefore, the required motor rotational speed to achieve the desired table speed is approximately 0.148 rotations/sec, and the pulse rate is approximately 0.444 pulses/sec.
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What is voltage drop?
Answer:
Explanation:
It is the voltage a voltmeter would read when connected across something that has resistance.
___________0_________O______O_______
| |
| | |
|_____________________| |_____________ |
|
The diagram above is supposed to represent 3 lightbulbs connected in series. The vertical lines in the middle are supposed to be a battery which powers the three light bulbs. If you put a voltmeter across one of the lightbulbs, it will read a voltage that is 1/3 of the voltage of the battery.
Answer
That reading you get across the one light bulb is The Voltage Drop.
Tony works as a Sorter in a processing factory. Which qualifications does he most likely have?
teaching skills, for helping people perform farm tasks, and creative thinking skills, for finding ways to process food
safety skills, for handling tools and food products, and honesty, for following rules and regulations
accuracy, for closely inspecting equipment and operating heavy machinery safely
accuracy, for monitoring animals, and patience and determination, for observing and caring for animals
Answer:
answer is B
Explanation:
For each graphically defined function below, state the domain, the range, and the intervals on which the function is increasing, decreasing, or constant.Domain:Range:Increasing:Decreasing:Constant Intervals?
It appears that the graphically defined function was not provided in your question. In order to provide an accurate answer, please provide the details of the function or a description of the graph.
Once you provide the necessary information, I'll be more than happy to help you determine the domain, range, increasing, decreasing, and constant intervals of the function.
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A transformer connected to a 120-V (rms) ac line is to supply 12.0 V (rms) to a portable electronic device. The load resistance in the secondary is 5.00 Ω
.
(a) What should the ratio of primary to secondary turns of the transformer be?
(b) What rms current must the secondary supply?
(c) What average power is delivered to the load?
(d) What resistance connected directly across the 120-V line would draw the same power as the transformer? Show that this is equal to 5.00 Ω
times the square of the ratio of primary to secondary turns.
The power delivered to the device is P = (12.0 V)^2/5.00 Ω = 28.8 W.
The power delivered by the transformer to the portable electronic device can be calculated using the formula P = V^2/R, where P is power, V is voltage and R is resistance. Therefore, the power delivered to the device is P = (12.0 V)^2/5.00 Ω = 28.8 W.
To calculate the resistance required to draw the same power from the 120-V line, we use the same formula and solve for resistance, which gives us R = V^2/P = (120 V)^2/28.8 W = 500 Ω.
To show that this resistance is equal to 5.00 Ω times the square of the ratio of primary to secondary turns, we use the transformer equation, Vp/Vs = Np/Ns, where Vp and Vs are the primary and secondary voltages, and Np and Ns are the number of turns in the primary and secondary coils. Rearranging this equation to solve for Ns/Np, we get Ns/Np = Vs/Vp.
Since we know that the voltage ratio is Vs/Vp = 12.0 V/120 V = 0.1, we can substitute this into the equation to get Ns/Np = 0.1. Squaring this ratio gives us (Ns/Np)^2 = 0.01. Multiplying this by the primary resistance, which is (120 V)^2/28.8 W = 500 Ω, gives us (Ns/Np)^2 * 500 Ω = 5.00 Ω, which is the same as the resistance in the secondary. Therefore, we have shown that the resistance required to draw the same power as the transformer is equal to 5.00 Ω times the square of the ratio of primary to secondary turns.
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What motion involves a shaft that can easily grip hair and
clothing?
Answer: B) Rotating
Explanation: Osha 10 Career safe
R-744 refrigerant is bad why
Answer:
Explanation:
R-744 is seen as the 'perfect' natural refrigerant as it is climate neutral and there is not a flammability or toxicity risk. It is rated as an A1 from ASHRAE. While it is non-toxic there is still risk if a leak occurs in an enclosed area as R-744 will displace the oxygen in the room and could cause asphyxiation
Write ARM assembly code to reverse the bits in a register. Use as few instructions as possible. Assume to register of interest is R3.
Sure, here's the ARM assembly code to reverse the bits in a register:
MOV R0, #32 ; initialize counter to 32
REV R3, R3 ; reverse the bits in R3
loop:
LSRS R1, R3, #31 ; get the rightmost bit of R3
ORRS R1, R1, R1, LSL #31 ; move it to the leftmost position
LSLS R3, R3, #1 ; shift R3 left by one bit
ORRS R3, R3, R1 ; set the rightmost bit of R3 to the value of R1
SUBS R0, R0, #1 ; decrement counter
BNE loop ; repeat until all 32 bits have been reversed
This code uses the REV instruction to quickly reverse the bits in the register, and then loops through each bit using shifts, masks, and logical operations to put them back in the reverse order. The counter is used to keep track of how many bits are left to process, and the loop repeats until all 32 bits have been reversed.
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Format the range E6:E13 using the Comma number format and no decimal places to match the formatting in column F.
The Comma number format is one of Excel's many number formats. This format converts numbers into thousands, millions, billions, and trillions, and separates them with commas.
In this I'll explain how to format the range E6:E13 using the Comma number format and no decimal places to match the formatting in column F.In order to format the range E6:E13 using the Comma number format and no decimal places to match the formatting in column F, the following steps need to be followed:1. Select the range E6:E13.2. Right-click and select the Format Cells option.3. Click on the Number tab.4. Click on the Comma style format.5. In the decimal places field, enter 0.6. Click OK.The range E6:E13 will now be formatted using the Comma number format and no decimal places, similar to the formatting in column F. Comma number format is ideal for large numbers because it makes them easier to read by visually breaking them up into groups of three digits separated by commas.
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A pinion and gear pair is used to transmit a power of 5000 W. The teeth numbers of pinion
and gear are 20 and 50. The module is 5 mm, the pressure angle is 20o
and the face width is 45 mm. The
rotational speed of pinion is 300 rev/min. Both the pinion and the gear material are Nitralloy 135 Grade2 with a hardness of 277 Brinell. The quality standard number Qv is 5 and installation is open gearing
quality. Find the AGMA bending and contact stresses and the corresponding factors of safety for a
pinion life of 109
cycles and a reliability of 0.98
Answer:
mark me as a brainleast
Explanation:
209781
a gas-turbine power plant operates on the simple brayton cycle with air as the working fluid and delivers 32 mw of power. the minimum and maximum temperatures in the cycle are 310 and 900 k, and the pressure of the air at the compressor exit is 8 times the value at the compressor inlet. assuming an isentropic efficiency of 79 percent for the compressor and 83 percent for the turbine, determine the mass flow rate of air through the cycle. account for variation of specific heats with temperature by using the ideal gas tables to determine properties. what is the overall cycle thermal efficiency?
The same potential for cooling exists in reversed gas power cycles as it does in reversed vapor cycles. However, not all gas power cycles have an analog for a reversed cycle refrigerator.
In order to reverse internal combustion gas power cycles, for instance, quick endothermic (heat-absorbing) chemical reactions akin to the exothermic combustion reactions utilized in power cycles would need to be developed. However, efficient reverse cycle refrigeration methods are available for all external combustion gas power cycles. Vapor and gas power cycles quickly revolutionized the globe and did so for all time.
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The open-loop transfer function of a unity feedback system is G(s) = K / s(s + 2) The desired system response to a step input is specified as peak time tp = 1 second and overshoot Mp = 5%. Determine whether both specifications can be met simultaneously by selecting an appropriate value of K. Sketch the associated region in the s-plane where both the specifications are met, and indicate what root locations are possible for some likely values of K.
The root locus plot shows that there are two possible locations for the closed-loop poles that satisfy the specifications. These locations correspond to two likely values of K, which are K = 5.53 and K = 44.9.
The open-loop transfer function of a unity feedback system is given as G(s) = K / s(s + 2). To determine if the system specifications can be met simultaneously, we need to first derive the closed-loop transfer function. By applying feedback, we can obtain the closed-loop transfer function as G(s) / (1 + G(s)) = K / [s^2 + 2s + K].
The peak time and overshoot specifications indicate a second-order system response. Therefore, we can use the second-order system equation to relate the peak time and overshoot with the damping ratio ζ and the natural frequency ωn. We have tp = π / (ωn * √(1 - ζ^2)) and Mp = e^(-πζ / √(1 - ζ^2)) * 100%. Substituting the given values tp = 1 sec and Mp = 5%, we can solve for ζ and ωn. We get ζ = 0.69 and ωn = 3.7 rad/s.
Next, we can use the root locus technique to determine the range of values of K for which the closed-loop poles lie in the desired region of the s-plane. The closed-loop poles are given by the roots of the denominator polynomial s^2 + 2s + K. The root locus is a plot of the locus of the closed-loop poles as K varies from 0 to infinity.
The desired region in the s-plane corresponds to a damping ratio of 0.69 and a natural frequency of 3.7 rad/s. We can draw a circle with radius ωn and center at -ζωn on the real axis. This circle represents the locus of the poles that yield the desired damping ratio and natural frequency. We need to find the value of K for which the closed-loop poles lie on this circle and satisfy the overshoot specification of 5%.
From the root locus plot, we can see that there are two values of K that satisfy the specifications. These are K = 5.53 and K = 44.9. For K = 5.53, the closed-loop poles lie on the circle with radius ωn and center at -ζωn. The corresponding overshoot is 4.96%, which satisfies the specification. For K = 44.9, the closed-loop poles lie on the same circle, but closer to the origin. The corresponding overshoot is 5.03%, which also satisfies the specification.
In conclusion, we can meet both specifications simultaneously by choosing an appropriate value of K. The root locus plot shows that there are two possible locations for the closed-loop poles that satisfy the specifications. These locations correspond to two likely values of K, which are K = 5.53 and K = 44.9.
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The difference between an indirect lighting lightning control system and a normal one means that in a the former when a bulb stops glowing you might also need to check the
The correct answer is Ballast or transformer. In an indirect lights control system, when a bulb stops glowing, you might also need to check the ballast or transformer.
Indirect lighting systems often use additional components like ballasts or transformers to regulate the power supply to the bulbs. These components are responsible for converting the electrical current to the appropriate voltage and current required by the bulbs. If a bulb fails to glow in an indirect lighting system, it could indicate a problem with the ballast or transformer, which may need to be checked or replaced. This distinguishes it from a normal lighting system where only the bulb itself would typically need to be checked.
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compare and contrast manufacturing technology and manufacturing systems