Conservative and non-conservative designs are two essential terms used in mechanical engineering.
What is a conservative design?
A conservative design is one in which energy is conserved within the system. Any conservative forces act within the system, and the work done by these forces is independent of the path taken. When a conservative system undergoes a process, its mechanical energy is conserved in a closed system.
What is a non-conservative design?
A non-conservative design is one in which energy is not conserved within the system. Non-conservative forces act within the system, and the work done by these forces is dependent on the path taken. When a non-conservative system undergoes a process, its mechanical energy is not conserved in a closed system.
What is the difference between conservative and non-conservative design in mechanical engineering?
The primary difference between conservative and non-conservative designs in mechanical engineering is that in conservative design, the energy is conserved, while in non-conservative design, energy is not conserved. Conservative forces, such as gravity, electrostatics, and the spring force, are the most commonly used forces in conservative designs, whereas non-conservative forces, such as friction and air resistance, are the most commonly used forces in non-conservative designs.Conservative designs are frequently used in mechanical systems that require consistent energy distribution, whereas non-conservative designs are used in mechanical systems that require energy losses through friction or other means to achieve the desired result.
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What is the value of the work interaction in this process?
a. -272 kJ/kg
b. -32 kJ/kg
c. 31 kJ/kg
d. 272 kJ/kg
Answer:
The answer is "\(-121\ \frac{KJ}{Kg}\)".
Explanation:
Please find the correct question in the attachment file.
using formula:
\(\to W=-P_1V_1+P_2V_2 \\\\When \\\\\to W= \frac{P_1V_1-P_2V_2}{n-1}\ \ or \ \ \frac{RT_1 -RT_2}{n-1}\\\\\)
\(W =\frac{R(T_1 -T_2)}{n-1}\\\\\)
\(=\frac{0.287(25 -237)}{1.5-1}\\\\=\frac{0.287(-212)}{0.5}\\\\=\frac{-60.844}{0.5}\\\\=-121.688 \frac{KJ}{Kg}\\\\=-121 \frac{KJ}{Kg}\\\\\)
Cite another example of information technology companies pushing the boundaries of privacy issues; apologizing, and then pushing again once scandal dies down. As long as the controversy fades, is there anything unethical about such a strategy?
Answer:
Explanation:
Tech Social Media giant FB is one of those companies. Not long ago the ceo was brought to court to accusations that his company was selling user data. Turns out this is true and they are selling their users private data to companies all over the word. Once the news turned to something else, people focused on something new but the company still continues to sell it's users data the same as before. This is completely unethical as the information belongs to the user and they are not getting anything while the corporation is profiting.
determine the reactions at the supports a, b, and c; then draw the shear and moment diagram. ei is constant.
The reactions at supports A, B, and C can be determined by analyzing the equilibrium of forces and moments acting on the structure.
Determining the Reactions at Supports A, B, and CTo determine the reactions at supports A, B, and C, we need to consider the equilibrium of forces and moments.
Let's assume the structure is a beam supported by three points: A, B, and C.
1. Support A: Since support A is a roller support, it can only exert a vertical reaction. The reaction at support A can be determined by summing up the vertical forces acting on the beam.
2. Support B: Support B is a fixed support, which means it can exert both vertical and horizontal reactions. The vertical reaction can be determined by summing up the vertical forces acting on the beam. The horizontal reaction can be determined by summing up the horizontal forces acting on the beam.
3. Support C: Support C is another roller support, similar to support A. Therefore, it can only exert a vertical reaction. The reaction at support C can be determined by summing up the vertical forces acting on the beam.
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a
cold air standard otto cycle has a compression ratio of 12. At the
beginning of compression, the pressure is 100KPa and temperature is
300K. The max temperature of cycle is 2600K. Evaluate specific
The specific heat ratio, also known as the isentropic exponent or adiabatic index, is a parameter used to evaluate thermodynamic processes. For a cold air standard Otto cycle, the specific heat ratio can be calculated based on the given information.
First, we need to determine the specific heat ratio, γ, of the air. For air, γ is approximately 1.4.
The compression ratio, r, is given as 12. This means that the final volume (V2) is equal to the initial volume (V1) divided by 12.
Using the ideal gas law, we can calculate the initial volume:
V1 = (n * R * T1) / P1
where n is the number of moles, R is the specific gas constant, T1 is the initial temperature, and P1 is the initial pressure.
Let's assume the number of moles is constant, so n = 1. The specific gas constant for air, R, is approximately 287 J/(kg*K).
Substituting the given values:
V1 = (1 * 287 * 300) / 100 = 861 m^3/kg
Now, we can calculate the final volume:
V2 = V1 / r = 861 / 12 = 71.75 m^3/kg
Next, we can calculate the specific heat ratio during compression, γc, using the relation:
γc = (V2 / V1)^(γ - 1)
γc = (71.75 / 861)^(1.4 - 1) = 0.6206
Since the cold air standard Otto cycle involves two constant volume processes (isochoric), the specific heat ratio during expansion, γe, is equal to the specific heat ratio during compression.
Therefore, the specific heat ratio for the cold air standard Otto cycle is 0.6206.
In conclusion, for the given cold air standard Otto cycle with a compression ratio of 12, an initial pressure of 100 KPa, an initial temperature of 300 K, and a maximum temperature of 2600 K, the specific heat ratio is approximately 0.6206. This value is crucial for analyzing and understanding the thermodynamic behavior of the cycle, including the compression and expansion processes
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Which three items below should a driver be able to identify under the hood of a car?
Answer:
Engine oil level.
Brake fluid.
Power steering fluid.
Questions 1. Calculate the minimum line width and DOF for an i-line from an Hg lamp in an optical system with NA= 0.48, k, = 0.6 and k₂= 1. Is this wavelength suitable for current CMOS trends? Is it suitable for MEMS technology?
The given information in the question is as follows:
NA= 0.48k,
= 0.6k₂
= 1
Now, the formula for the minimum line width is given as follows:
Minimum line width = k₁λ/NA
where, k₁ = 0.6λ = wavelength
NA = numerical aperture
So, putting the given values in the above equation, we get:
Minimum line width
= (0.6 × λ)/0.48
= (5/4) × (k₁λ/NA)
= (5/4) × (0.6λ/0.48)
Minimum line width = 0.938 μm
Now, the formula for the depth of focus (DOF) is given as follows:
DOF = k₂λ/NA²
where, k₂ = 1λ = wavelength
NA = numerical aperture
So, putting the given values in the above equation, we get:
DOF = λ/NA²
DOF = λ/(0.48)²
DOF = 3.52 μm
Thus, the minimum line width is 0.938 μm and the depth of focus is 3.52 μm.
This wavelength is not suitable for current CMOS trends as the minimum line width required for current CMOS trends is much smaller than this value.
However, it is suitable for MEMS technology where the minimum feature size is generally larger than in CMOS technology.
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(Gas Mileage) Drivers are concerned with the mileage their automobiles get. One driver has kept track of several trips by recording the miles driven and gallons used for each tankful. Develop a Java application that will input the miles driven and gallons used (both as integers) for each trip. The program should calculate and display the miles per gallon obtained for each trip and print the combined miles per gallon obtained for all trips up to this point. All averaging calculations should produce floating-point results. Use class Scanner and sentinel-controlled iteration to obtain the data from the user.
Answer:
import java.util.*;
public class Main {
public static void main(String[] args) {
double milesPerGallon = 0;
int totalMiles = 0;
int totalGallons = 0;
double totalMPG = 0;
Scanner input = new Scanner(System.in);
while(true){
System.out.print("Enter the miles driven: ");
int miles = input.nextInt();
if(miles <= 0)
break;
else{
System.out.print("Enter the gallons used: ");
int gallons = input.nextInt();
totalMiles += miles;
totalGallons += gallons;
milesPerGallon = (double) miles/gallons;
totalMPG = (double) totalMiles / totalGallons;
System.out.printf("Miles per gallon for this trip is: %.1f\n", milesPerGallon);
System.out.printf("Total miles per gallon is: %.1f\n", totalMPG);
}
}
}
}
Explanation:
Initialize the variables
Create a while loop that iterates until the specified condition is met inside the loop
Inside the loop, ask the user to enter the miles. If the miles is less than or equal to 0, stop the loop. Otherwise, for each trip do the following: Ask the user to enter the gallons. Add the miles and gallons to totalMiles and totalGallons respectively. Calculate the milesPerGallon (divide miles by gallons). Calculate the totalMPG (divide totalMiles by totalGallons). Print the miles per gallon and total miles per gallon.
Sound cards have a __________ to help analog devices connect and communicate with the computer
Sound cards have a audio interface to help analogy devices connect and communicate with the computer.
What is analogy devices?Analogy devices are figures of speech that compare two unrelated things in order to make a point. They are used to explain a concept or idea by using a comparison that is easier to understand. Analogy devices are used to help people better understand the concept being discussed and can be used in speeches, essays, literature, and other forms of communication. An example of an analogy device is the phrase “time is money” which compares two different objects in order to explain that time is valuable and should be used wisely. Analogy devices are helpful in making complex ideas easier to comprehend.
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The lna has g = 15 db and nf = 1.5 db. the mixer has a conversion gain of g = 10 db and nf = 10 db. the if amplifier has g = 70 db and nf = 20 db.
The overall gain and noise figure of the system can be calculated by cascading the gains and noise figures of the individual components. The main answer is as follows:
The overall gain of the system is 95 dB and the overall noise figure is 30 dB.
To calculate the overall gain, we sum up the individual gains in dB:
Overall gain (G) = G1 + G2 + G3
= 15 dB + 10 dB + 70 dB
= 95 dB
To calculate the overall noise figure, we use the Friis formula, which takes into account the noise figure of each component:
1/NF_total = 1/NF1 + (G1-1)/NF2 + (G1-1)(G2-1)/NF3 + ...
Where NF_total is the overall noise figure in dB, NF1, NF2, NF3 are the noise figures of the individual components in dB, and G1, G2, G3 are the gains of the individual components.
Plugging in the values:
1/NF_total = 1/1.5 + (10-1)/10 + (10-1)(70-1)/20
= 0.6667 + 0.9 + 32.7
= 34.2667
NF_total = 1/0.0342667
= 29.165 dB
Therefore, the overall noise figure of the system is approximately 30 dB.
In summary, the overall gain of the system is 95 dB and the overall noise figure is 30 dB. These values indicate the amplification and noise performance of the system, respectively.
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If you deposit today 11,613 in an account earning 8% compound interest, for how long should you invest the money in order to earn 15,131.76 (profit)?
Calculate density, specific weight and weight of one litter of petrol having specific gravity 0.7
Explanation:
mass=19kg
density=800kg/m³
volume=?
as we know that
density=mass/volume
density×volume=mass
volume=mass/density
putting the values
volume=19kg/800kg/m³
so volume=0.02375≈0.02m³
What cell type has no membrane-bound organelles, has DNA that is found in an area called the
nucleoid, and is very small?
A. Eukaryotic cell
B. Prokaryotic cell
C. Animal cell
D. Plant cell
Answer:
Prokaryotic cell
Explanation:
A flat plate is subjected to a load of 5KN as shown in figure. The plate material is grey cast iron FFG 200 and the factor of safety is 2.5. Determine the thickness of the plate
Answer:
57.14 N/mm2
Explanation:
Multiple Choice question. Selected the correct answer.
10. Which of the following is NOT a metal used for producing exhaust manifolds?
A. Cast iron.
B. Aluminium.
C. Heavy-gauge sheet metal.
D. Stainless steel.
Answer:
C. Heavy-gauge sheet metal.
Explanation:
Exhaust manifolds are typically made from cast iron, aluminum, or stainless steel, which are strong and durable materials that can withstand the high temperatures and pressures found in vehicle exhaust systems.
Heavy-gauge sheet metal is a type of metal, but it is not typically used for this application because it may not have the necessary strength and durability.
Create an array of 10 size and assign 10 random numbers. Now find the sum of the array using for and while loop.
Answer:
10
Explanation:
"geophysical exploration definition"
Answer:
Exploration geophysics is an applied branch of geophysics and economic geology, which uses physical methods, such as seismic, gravitational, magnetic, electrical and electromagnetic at the surface of the Earth to measure the physical properties of the subsurface, along with the anomalies in those properties
Safety Issues for Operators of Oil and Gas Exploiting Equipment when working off rigs
Answer:
Safety First, Safety Always. Safety stands out as a core value for the oil and natural gas industry, embedded in every process and decision for operations. The oil and natural gas industry and the federal government are working together to continuously improve the safety of offshore operations. ...
Find E[x] when x is sum of two fair dice?
Answer:
When two fair dice are rolled, 6×6=36 observations are obtained.
P(X=2)=P(1,1)=
36
1
P(X=3)=P(1,2)+P(2,1)=
36
2
=
18
1
P(X=4)=P(1,3)+P(2,2)+P(3,1)=
36
3
=
12
1
P(X=5)=P(1,4)+P(2,3)+P(3,2)+P(4,1)=
36
4
=
9
1
P(X=6)=P(1,5)+P(2,4)+P(3,3)+P(4,2)+P(5,1)=
36
5
P(X=7)=P(1,6)+P(2,5)+P(3,4)+P(4,3)+P(5,2)+P(6,1)=
36
6
=
6
1
P(X=8)=P(2,6)+P(3,5)+P(4,4)+P(5,3)+P(6,2)=
36
5
P(X=9)=P(3,6)+P(4,5)+P(5,4)+P(6,3)=
36
4
=
9
1
P(X=10)=P(4,6)+P(5,5)+P(6,4)=
36
3
=
12
1
P(X=11)=P(5,6)+P(6,5)=
36
2
=
18
1
P(X=12)=P(6,6)=
36
1
Therefore, the required probability distribution is as follows.
Then, E(X)=∑X
i
⋅P(X
i
)
=2×
36
1
+3×
18
1
+4×
12
1
+5×
9
1
+6×
36
5
+7×
6
1
+8×
36
5
+9×
9
1
+10×
12
1
+11×
18
1
+12×
36
1
=
18
1
+
6
1
+
3
1
+
9
5
+
6
5
+
6
7
+
9
10
+1+
6
5
+
18
11
+
3
1
=7
E(X
2
)=∑X
i
2
⋅P(X
i
)
=4×
36
1
+9×
18
1
+16×
12
1
+25×
9
1
+36×
36
5
+49×
6
1
+64×
36
5
+81×
9
1
+100×
12
1
+121×
18
1
+144×
36
1
=
9
1
+
2
1
+
3
4
+
9
25
+5+
6
49
+
9
80
+9+
3
25
+
18
121
+4
=
18
987
=
6
329
=54.833
Then, Var(X)=E(X
2
)−[E(X)]
2
=54.833−(7)
2
=54.833−49
=5.833
∴ Standard deviation =
Var(X)
=
5.833
=2.415
A rectangular block of 1m by 0.6m by 0.4m floats in water with 1/5th of its volume being out of water. Find the weight of the block.
Answer:
Weight of block is 191.424 Kg
Explanation:
The volume of rectangular block = \(1*0.6*0.4 = 0.24\) cubic meter
1/5th of its volume being out of water which means water of volume nearly 4/5 th of the volume of rectangular block is replaced
Volume of replaced water = \(\frac{4}{5} * 0.24 = 0.192\) cubic meter
Weight of replaced water = weight of rectangular block = \(0.192 * 997\) Kg/M3
= 191.424 Kg
The purpose of the international residential code is to
Answer:
The International Building Code (IBC) is a model code that provides minimum requirements to safeguard the public health, safety and general welfare of the occupants of new and existing buildings and structures.
Explanation:
In a sequence of try/catch blocks, the last catch block of that sequence should be ____.
a. catch(. ..){ }
b. catch(int x){ }
c. catch(str){ }
d. catch(exception){}
In programming, try/catch blocks are used to handle exceptions or errors that may occur during the execution of code. In a sequence of try/catch blocks, the last catch block of that sequence should be (d) catch(Exception){ }.
When a try block is executed, the code inside it is monitored for any exceptions. If an exception occurs, it is caught by the appropriate catch block. Multiple catch blocks can be used to handle different types of exceptions. However, the order of these catch blocks is important. The last catch block in a sequence of try/catch blocks should be a catch block for the base exception class, which is represented by the exception class in most programming languages. This catch block will catch any exceptions that were not caught by the previous catch blocks in the sequence. Therefore, the correct answer to the question is d. catch(exception){}.
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Multiple Choice
Which of the following analogies best describes the relationship between urban planning and zoning?
Zoning is like a hammer because it is used as a tool for urban planning.
Zoning is like a butterfly because it is the final form of urban planning.
Zoning is like a stop sign because it is an obstacle to urban planning.
Zoning is like an egg because it is the process from which urban planning emerges.
Answer:
Zoning is like a hammer because it is used as a tool for urban planning.
Comparing cold working to hot working, flow stress is usually lower in _____ Question 19 options: Cold working Hot working
Answer:
Hot Working
Explanation:
Given that hot working is carried out at temperatures greater than the recrystallization temperature of the metal, thereby the stress needed for deformation is considerably less.
On the other hand, cold working is carried out at temperatures lesser than the recrystallization temperature of the metal, thereby stress needed for deformation is much higher
Hence, comparing cold working to hot working, flow stress is usually lower in HOT WORKING.
Your company produces three grades of gasolines for industrial distribution. The three gradespremium, regular and economy-are produced by refining a blend of three types of crude oil: Brent, Dubai and WTI. Each crude oil differs not only in cost per barrel, but in its composition as well. Table 1 below indicates the percentage of three crucial compounds found in each of the crude oils, the cost per barrel for each, and the maximum weekly availability of each. Table 2 indicates the weekly demand for each grade of gasoline and the specific conditions on the amounts of the different compounds that each grade of gasoline should contain. The table shows, for example, that in order for gasoline to be classified as premium grade, it must contain at least 55%of compound A, no more than 23%of compound B and no restrictions on compound C. Your company must decide how many barrels of each type of crude oil to buy each week for blending to satisfy demand at minimum cost. 1. Write down the linear program to determine the optimal blending plan. 2. Set up the Excel spreadsheet and use Solver to compute the optimal plan. Interpret your Solver's answer report. 3. Your company finds a new crude oil supplier who can sell you unlimited Brent oil at current cost. a. Which constraint(s) should you remove from your LP in Q1? b. Set up the corresponding LP in Excel and run Solver.
Objective function: Minimize the total cost of crude oilCost = Cost per barrel * Number of barrelsMinimize: Cost = (Cost per barrel of Brent * x1) + (Cost per barrel of Dubai * x2) + (Cost per barrel of WTI * x3)
After setting up the spreadsheet, you would use Solver, an add-in in Excel, to find the optimal solution. Solver will adjust the values in the x1, x2, and x3 cells to minimize the objective function while satisfying all the constraints. The Solver's answer report will provide information on the optimal solution, including the values for x1, x2, and x3, as well as the minimum cost achieved.
b. To set up the corresponding LP in Excel and run Solver, you would simply exclude the availability constraint for Brent oil. The objective function, cost per barrel, and composition constraints would remain the same as in Q1. By running Solver, you can find the new optimal blending plan with unlimited Brent oil availability, which would result in a potentially lower total cost.
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2..Three formations, each 25 m thick, overlie one another. If a constant-velocity vertical flow field is set up across the set of formations with h = 120 m at the top and h = 100 m at the bottom, calculate h at the two internal boundaries. The hydraulic conductivity of the top formation is 0.0001 m/s, the middle formation 0.0005 m/s, and the bottom formation 0.0010 m/s.
The values of h at the two internal boundaries are :
h₁ = 104.625 m h₂ = 101.55 mGiven data :
Z₁ = Z₂ = Z₃ = 25 m
h top = 120 m
h bottom = 100 m
K₁ = 0.0001 m/s
K₂ = 0.0005 m/s
K₃ = 0.0010 m/s
First step : Calculate the value of Keqwe will apply the formula below since flow is perpendicular to the bedding plane
Keq = \(\frac{Z1 + Z2 + Z3 }{\frac{Z1}{K1}+\frac{Z2}{K2} + \frac{Z3}{K3} }\) ----- ( 1 )
Insert values given above into equation 1
Therefore ; Keq = 2.307 * 10⁻⁴ m/s
Next step : determine the hydraulic gradientHydraulic gradient ( Ieq ) = head loss / length
= ( 120 - 100 ) / 3 * 25
Ieq = 0.266
Given that the flow is perpendicular to bedding plane
q1 = q2 = q3
V₁ = V₂ = V₃ = V
K₁i₁ = K₂i₂ = K₃i₃ = Keq * ieq
Hence :
V = Keq* Ieq
= 2.307 * 10⁻⁴ * 0.266
= 6.15 * 10⁻⁵ m/s .
Also;
K₁i₁ = Keq * ieq = K₂i₂ = K₃i₃
therefore :
i₁ = 0.615
i₂ = 0.123
i₃ = 0.0615
Final step : determine the value of h at the two internal boundariesPressure at point 1 ( i.e. pressure between first two formations )
h₁ = h top - i₁L₁
= 120 - 0.615 * 25
= 104.625 m
Pressure at point 2 ( i.e. pressure between the 2nd and 3rd formation )
h₂ = h₁ - i₂L₂
= 104.625 - 0.123 * 25
= 101.55 m
Therefore we can conclude that The values of h at the two internal boundaries are : h₁ = 104.625 m , h₂ = 101.55 m
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What is the process of a Diesel engine uses to convert fuel to mechanical energy
Answer:
A diesel engine is a type of heat engine that uses the internal combustion process to convert the energy stored in the chemical bonds of the fuel into useful mechanical energy. ... First, the fuel reacts chemically (burns) and releases energy in the form of heat.
Diseña un mecanismo multiplicador con un engranaje motriz cuya relación de transmisión sea de 0.5 y que transmita el movimiento entre ejes distantes. Inserta una captura de pantalla indicando la relación entre los diámetros y la velocidad de giro del engranaje motriz.
When you hear a radio call that states an aircraft is on the "ILS 3 or RNAV (GPS) 3 approach 5 out", what does this mean and where should you look for traffic? What about "RNAV (GPS) 21 approach 5 out", what does this mean and where should you be looking for traffic? What about "RNAV (GPS) 8 or VOR 8 approach 5 out, what does this mean and where should you look for traffic? What about "RNAV (GPS) 26 approach 5 out", what does this mean and where should
you be looking for traffic?
Answer:
Explanation:
When you hear a radio call that states an aircraft is on the "ILS 3 or RNAV (GPS) 3 approach 5 out", it means that the aircraft is approaching the airport on either the Instrument Landing System (ILS) approach or the Area Navigation (RNAV) approach with a minimum descent altitude of 3,000 feet, and is currently 5 nautical miles away from the airport.
You should look for the aircraft along its expected flight path, which can be found on approach plates or charts provided by the FAA. This information can also be obtained from air traffic control (ATC) if available.
Similarly, when you hear a radio call that states "RNAV (GPS) 21 approach 5 out", it means that the aircraft is approaching the airport on the RNAV (GPS) approach with a minimum descent altitude of 2,100 feet, and is currently 5 nautical miles away from the airport. You should look for the aircraft along its expected flight path.
For "RNAV (GPS) 8 or VOR 8 approach 5 out", it means that the aircraft is approaching the airport on either the RNAV (GPS) approach or the VHF omnidirectional range (VOR) approach with a minimum descent altitude of 800 feet, and is currently 5 nautical miles away from the airport. You should look for the aircraft along its expected flight path.
Finally, for "RNAV (GPS) 26 approach 5 out", it means that the aircraft is approaching the airport on the RNAV (GPS) approach with a minimum descent altitude of 2,600 feet, and is currently 5 nautical miles away from the airport. You should look for the aircraft along its expected flight path.
which of the following is true? a. a radial load is applied when the pressure from the load is perpendicular to the axis of the shaft, whereas an axial load is applied when the pressure from the load is parallel to the axis of the shaft. b. an axial load is applied when the pressure from the load is perpendicular to the axis of the shaft, whereas a radial load is applied when the pressure from the load is parallel to the axis of the shaft. c. both radial and axial loads are applied when the pressure from the load is perpendicular to the axis of the shaft. d. both radial and axial loads are applied when the pressure from the load is parallel to the axis of the shaft.
Option A holds the correct answer. Because the statement given in option A truly reflects the radial load and axial load.
When the load pressure is perpendicular to the axis of the shaft, a radial load is applied and when the load pressure is parallel to the axis of the shaft, an axial load is applied. In other words, the radial load is applied when the pressure from the load is 'perpendicular to the axis of the shaft'. In contrast, the axial load is applied when the pressure from the load is 'parallel to the axis of the shaft'.
However, the rest of the statements are not correct in the context of radial loads and axial loads.
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The boost converter of Fig. 6-8 has parameter Vs 20 V, D 0.6, R 12.5 , L 10 H, C 40 F, and the switching frequency is 200 kHz. (a) Determine the output voltage. (b) Determine the average, maximum, and minimum inductor currents. (c) Determine the output voltage ripple. (d) Determine the average current in the diode. Assume ideal components.
Answer:
a) the output voltage is 50 V
b)
- the average inductor current is 10 A
- the maximum inductor current is 13 A
- the maximum inductor current is 7 A
c) the output voltage ripple is 0.006 or 0.6%V₀
d) the average current in the diode under ideal components is 4 A
Explanation:
Given the data in the question;
a) the output voltage
V₀ = V\(_s\)/( 1 - D )
given that; V\(_s\) = 20 V, D = 0.6
we substitute
V₀ = 20 / ( 1 - 0.6 )
V₀ = 20 / 0.4
V₀ = 50 V
Therefore, the output voltage is 50 V
b)
- the average inductor current
\(I_L\) = V\(_s\) / ( 1 - D )²R
given that R = 12.5 Ω, V\(_s\) = 20 V, D = 0.6
we substitute
\(I_L\) = 20 / (( 1 - 0.6 )² × 12.5)
\(I_L\) = 20 / (( 0.4)² × 12.5)
\(I_L\) = 20 / ( 0.16 × 12.5 )
\(I_L\) = 20 / 2
\(I_L\) = 10 A
Therefore, the average inductor current is 10 A
- the maximum inductor current
\(I_{Lmax\) = [V\(_s\) / ( 1 - D )²R] + [ V
given that, R = 12.5 Ω, V\(_s\) = 20 V, D = 0.6, L = 10 μH, T = 1/200 kHz = 5 hz
we substitute
\(I_{Lmax\) = [20 / (( 1 - 0.6 )² × 12.5)] + [ (20 × 0.6 × 5) / (2 × 10) ]
\(I_{Lmax\) = [20 / 2 ] + [ 60 / 20 ]
\(I_{Lmax\) = 10 + 3
\(I_{Lmax\) = 13 A
Therefore, the maximum inductor current is 13 A
- The minimum inductor current
\(I_{Lmax\) = [V\(_s\) / ( 1 - D )²R] - [ V
given that, R = 12.5 Ω, V\(_s\) = 20 V, D = 0.6, L = 10 μH, T = 1/200 kHz = 5 hz
we substitute
\(I_{Lmin\) = [20 / (( 1 - 0.6 )² × 12.5)] - [ (20 × 0.6 × 5) / (2 × 10) ]
\(I_{Lmin\) = [20 / 2 ] -[ 60 / 20 ]
\(I_{Lmin\) = 10 - 3
\(I_{Lmin\) = 7 A
Therefore, the maximum inductor current is 7 A
c) the output voltage ripple
ΔV₀/V₀ = D/RCf
given that; R = 12.5 Ω, C = 40 μF = 40 × 10⁻⁶ F, D = 0.6, f = 200 Khz = 2 × 10⁵ Hz
we substitute
ΔV₀/V₀ = 0.6 / (12.5 × (40 × 10⁻⁶) × (2 × 10⁵) )
ΔV₀/V₀ = 0.6 / 100
ΔV₀/V₀ = 0.006 or 0.6%V₀
Therefore, the output voltage ripple is 0.006 or 0.6%V₀
d) the average current in the diode under ideal components;
under ideal components; diode current = output current
hence the diode current will be;
\(I_D\) = V₀/R
as V₀ = 50 V and R = 12.5 Ω
we substitute
\(I_D\) = 50 / 12.5
\(I_D\) = 4 A
Therefore, the average current in the diode under ideal components is 4 A