To estimate the power delivered by the turbine/generator, we need to calculate the friction loss, and net head available, and then determine the electrical power delivered.
I. Friction Loss: Using the Darcy-Weisbach equation, we can calculate the friction loss in the pipe. This involves considering the pipe diameter, length, flow rate, and pipe roughness. The friction loss represents the energy lost due to fluid friction as it flows through the pipe.
II. Net Head Available: The net head available is the difference in elevation between the source and the turbine. In this case, it is given as 100 ft.
III. Electrical Power Delivered: The electrical power delivered can be estimated using the rule-of-thumb method, which states that the power output of the turbine can be estimated as a fraction of the hydraulic power available. This fraction typically ranges from 0.5 to 0.7 for small-scale systems.
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rank the following gases in order of decreasing rate of effusion. rank from the highest to lowest effusion rate. to rank items as equivalent, overlap them.
It means that the gas with the lowest molecular weight will have the highest effusion rate.
What has the highest rate of effusion?The given gases' effusion rates are listed in order from highest to lowest. The effusion rate of a hydrogen molecule is the highest, whereas that of a hydrocarbon is the lowest.
A gas will effuse faster when it is lighter and more slowly when it is heavier. Helium (He) will have the highest rate of effusion since it has the lowest molecular weight (atomic weight, in this example).
The following equation can be used to compare the rate of effusion for two gases: The effusion rates in this case are inversely related to the square root of the gas molecules' masses. A container contains an amalgam of neon and argon gas.
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Need help giving out brainlest
Answer:
1,2,3,5
Explanation:
Not positive but i think so
Show how a positive-edge-triggered D flip-flop and other logic gates can be used to design a positive-edge T flip-flop.
A positive-edge-triggered D flip-flop and an XOR gate can be combined to design a positive-edge T flip-flop.
To design a positive-edge T flip-flop using a positive-edge-triggered D flip-flop and other logic gates, follow these steps:
_____
T --| |
| D |-- Q
Clk --|_____|
T represents the T input of the T flip-flop.
D represents the D input of the D flip-flop.
Clk represents the clock input of both flip-flops.
Q represents the output of both flip-flops.
To design a positive-edge T flip-flop using a positive-edge-triggered D flip-flop and other logic gates, we follow these steps:
Connect the T input directly to the D input of the D flip-flop.
This ensures that when the clock signal transitions from low to high (positive edge), the value of T is transferred to the D input.
Connect the clock signal (Clk) to the clock input of both the D flip-flop and the T flip-flop.
This ensures that both flip-flops are triggered at the positive edge of the clock signal.
Connect the output Q of the D flip-flop to the output Q of the T flip-flop.
This transfers the output state of the D flip-flop to the T flip-flop's output.
By connecting the T input directly to the D input of the D flip-flop, the T flip-flop will toggle its output (Q) on each positive edge of the clock signal. When T is 0, the output Q will remain unchanged, and when T is 1, the output Q will toggle to its complemented state.
This design effectively creates a positive-edge-triggered T flip-flop using a positive-edge-triggered D flip-flop and appropriate connections of inputs and outputs.
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Find the first five terms of the sequence defined by an=6an-1
Answer:
The first five terms of the given geometric sequence are
8,40,200,1000,5000
Explanation:
:)
The sinusoid corresponding to the phasor l1 = 2.8e^-jл/3 A and a: 376 rad/s is i1(t)=2.8 cos(_____t-phi/3) A.
The missing angle of the stated expression for i1(t) is 376t - π/2.
How to calculate the valueThe phasor for i1(t) is represented by:
I1 = L1 * jω
L1 measures the phasor amplitude, ω denoting angular frequency whereas j represents an imaginary unit.
Upon substituting the values provided, we obtain:
I1 = (2.8e^(-jπ/3)) * j(376)
I1 = (-2.8/2) * j * e^(-jπ/3) * 752
I1 = -1.4j * e^(-jπ/3) * 752
I1 = 1204.16 e^(-jπ/3 + jπ/2)
I1 = 1204.16 e^(-jπ/6)
Using Euler's formula to convert this phasor onto a corresponding sinusoid:
i1(t) = Re(I1 * e^(jωt))
i1(t) = Re(1204.16 e^(-jπ/6) * e^(j376t))
i1(t) = Re(1204.16 e^(j(376t - π/6)))
i1(t) = 1204.16 cos(376t - π/6)
After comparing this expression with the given one for i1(t), it can be inferred that:
phi/3 = π/6
phi = π/2
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A picture showing the actual parts of a circuit and their connection is called_______ diagram
Answer:
a picture showing the actual parts of a circuit and their connection is call a Circuit diagram
What is the ls option that prints the author of a file?
Answer:
You need to use option '–author' along with option '-l' to print the author name of each file.
Explanation:
hopefully this helps you sorry if it doesn’t help you
Design the circuit to obtain a dc gain of 20 db, a 3-db frequency of 5 khz, and an input resistance of 2k. Hint: see example 2. 4 in page 88 of our textbook. Write your answer rounding to 2 significant digits. Examples: 0. 35, -2. 4, 13, -920
Answer: Your welcome!
Explanation:
The circuit to obtain a DC gain of 20 dB, a 3-db frequency of 5 kHz, and an input resistance of 2k is a two-stage amplifier with a common emitter stage and a common collector stage. The first stage has a DC gain of 10 dB, a 3-db frequency of 2 kHz, and an input resistance of 2k. The second stage has a DC gain of 10 dB, a 3-db frequency of 5 kHz, and an input resistance of 10k. The overall DC gain is 20 dB, the 3-db frequency is 5 kHz, and the input resistance is 2k.
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
URGENT!!
PYTHON CODE
Assume you already have 2 variables: L which refers to a list of integers, and target, which refers to an integer.
Write a code that assigns the value True to a variable called found if the target exists in L and False otherwise
Additional Notes: L and target should not be modified
The code that assigns the value True to a variable called found if the target exists in L and False otherwise is:
found = target in L
How to determine the code segment?From the question, we have the following parameters that can be used in our computation:
Initial variables = L and target
Where
L = List and target = integer
The condition is such that:
found = True if the target exists in L found = False if the target does not exist in LThere are several ways to do this.
One of them is the following code segment
found = target in L
Another way is
if target in L:
found = True
else
found = False
Another solution is
found = False
if target in L:
found = True
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Which of the following would not be a good reason to use a linear model?
Thank
The disadvantage of using a linear model is that; It is sensitive to outliers and prone to multicollinearity.
What is the Linear Regression Model?Linear regression is defined as a regression technique whereby the independent variable has a linear relationship with the dependent variable.
Now, there are some advantages of this model in statistics such as;
Linear regression performs exceptionally well for linearly separable data.It is easy to implement and interpret.It carries out extrapolation beyond a specific data set.However, there are some disadvantages such as;
It is very sensitive to outliers.
It is prone to having multicollinearity.
It assumes linearity between dependent and independent variables.
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Problem 1
An engine piston-cylinder assembly contains gas at a pressure of 96 kPa. The gas is compressed according to p = aV + b where a = -1200 kPa/m3 and b = 600 kPa. Determine the work done on the gas during this process if the final pressure is 456 kPa.
The work done on the gas during this process if the final pressure is 456 kPa is; -82.8 kJ
Workdone in Thermodynamics
We are given;
The initial pressure; P₁ = 96 kPa
Final Pressure; P₂ = 456 kPa
The gas is compressed according to;
p = aV + b
where;
a = -1200 kPa/m³
b = 600 kPa
Thus, at initial pressure P₁ = 96 kPa;
96 = -1200V₁ + 600
1200V₁ = 600 - 95
1200V₁ = 505
V₁ = 505/1200
V₁ = 0.42 m³
At Final Pressure P₂ = 456 kPa;
456 = -1200V₂ + 600
1200V₂ = 600 - 456
1200V₂ = 144
V₂ = 144/1200
V₂ = 0.12 m³
Formula for the workdone during the process is;
W_out = ¹/₂(P₁ + P₂)(V₂ - V₁)
W_out = ¹/₂(96 + 456)(0.12 - 0.42)
W_out = -82.8 kJ
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The gear with the least number of teeth is called the
the following questions need to answered please and thank you
Answer:
Can't see, clearly photo then you can get your answer quickly
Explanation:
determine the equations of the elastic curve for the beam using the x 1 and x 2 coordinates. ei is constant.
To determine the equations of the elastic curve for the beam with constant EI, we'll first need to find the bending moment (M) equation as a function of the x-coordinate.
Once we have that, we can integrate the bending moment equation twice with respect to x to find the equation for the elastic curve (y).
1. Find the bending moment equation M(x) based on the given loading and boundary conditions.
2. Integrate M(x) once with respect to x to obtain the slope equation (θ) of the elastic curve:
θ(x) = (1/EI) ∫ M(x) dx + \(C_{1}\)
3. Integrate θ(x) once more with respect to x to obtain the equation for the elastic curve (y):
y(x) = (1/EI) ∫ θ(x) dx + \(C_{2}\)
Here, \(C_{1}\)and \(C_{2}\) are constants of integration, which can be determined using the given boundary conditions at \(x_{1}\)and \(x_{2}\) coordinates. Substitute the coordinates\(x_{1}\) and \(x_{2}\) into the equations for θ(x) and y(x) and solve for \(C_{1}\)and \(C_{2}\). Once you have the constants, you'll have the complete equations for the elastic curve of the beam.
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A condition-controlled loop can be used to iterate the body of the loop a specific number of times. True or False
It is true that a condition-controlled loop can be used to iterate the body of the loop a specific number of times, as long as the number of iterations is defined in the loop header.
In programming, loops are structures used to repeatedly execute a block of code until a certain condition is met. One type of loop is the condition-controlled loop, which you are asking about in your question. A condition-controlled loop continues to iterate through the loop body as long as the specified condition remains true. However, it does not inherently dictate a specific number of iterations. The condition controls the number of iterations indirectly based on how it's defined in the code.
The statement "A condition-controlled loop can be used to iterate the body of the loop a specific number of times" is True, as long as the condition is set up properly to achieve the desired number of iterations. However, it's important to remember that the condition controls the loop's iterations indirectly and not explicitly based on a fixed number.
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OS Theory Concept Map
Purpose:
The primary goal of the OS Theory Concept Map is to visually outline and make connections between the concepts of operating systems theory. You will build your concept maps incrementally each week as topics are introduced and discussed. In the final week, you will submit your completed concept maps to Waypoint and write a summary blog post to share what you have learned about operating systems theory during this course.
Focus:
You will develop an OS Theory Concept Map to answer this focus question: What are the fundamental concepts that underlie operating systems? You will more specifically address the following topics represented in the Course Learning Outcomes (CLO):
Features and structure of contemporary operating systems
Threads and process synchronization
Memory management
File systems
Mass storage
I/O
Security and protection
Assignment Prompt:
You will use your concept map to resolve this focus question: What are the fundamental concepts that underlie operating systems? Throughout the course, each week will include an assignment to build upon your existing concept map, adding nodes to represent the topics that were covered that week. You will link the related concepts to represent and explain their relationships.
To begin your concept map, you will
Label the central node to rename it and start building your concept map from it.
Logically arrange the essential concepts about operating systems theory into a hierarchy of nodes that branch from the main idea. Include cross-links where necessary to show relationships in different sections of the concept map.
Use connecting nodes to accurately describe each relationship between topics that connect. Every neighboring pair of concepts should be linked by a word or phrase to form a short sentence. For example, to represent the idea that "Topic A causes Topic B, Topic C, and Topic D," you will use a connecting node for the word "causes" in between Topic A and Topics B, C, and D, as shown in this screenshot.
Section 1:
You initially completed this section in your Week 1 interactive assignment. Review the instructions here and incorporate your peer and instructor feedback from the Week 1 interactive assignment in your final version of the concept map.
In this section, you will begin your concept map by addressing each of the following topics concerning operating system features and structures:
Categorize, describe, and give examples of the major functions of operating systems.
Illustrate the hierarchy of subsystems, components, or subcomponents of operating systems and explain how they interact with one another.
The OS Theory Concept Map visually organizes the fundamental concepts of operating systems. It covers topics such as OS features, structure, threads, synchronization, memory management, file systems, mass storage, I/O, security, and protection.
OS Theory Concept MapThe primary purpose of OS Theory Concept Map is to visually outline and make connections between the concepts of operating systems theory.
The central idea for the concept map is "fundamental concepts that underlie operating systems". You will more specifically address the following topics represented in the Course Learning Outcomes (CLO):
Features and structure of contemporary operating systems Threads and process synchronizationMemory managementFile systemsMass storageI/OSecurity and protection
In this section, you will begin your concept map by addressing each of the following topics concerning operating system features and structures
Categorize, describe, and give examples of the major functions of operating systemsIllustrate the hierarchy of subsystems, components, or subcomponents of operating systems and explain how they interact with one another.
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A cylindrical space capsule lands in the ocean. This capsule is 2.44 m long, 1.10 m in diameter, and weighted at one end so that it floats with its long central axis vertical and 0.820 m of its length above the water surface. The mass density of sea water is 1025 kg/m3.What is the magnitude of the buoyant force exerted on the capsule?
Answer:
The correct answer is "15456.8 N".
Explanation:
According to the question,
The inside volume will be:
= \(3.14\times (\frac{1.1}{2} )^2\times (2.44-0.82)\)
= \(3.14\times \frac{1.21}{4}\times 1.62\)
= \(3.14\times 03025\times 1.62\)
= \(1.538757 \ m^3\)
hence,
The buoyant force will be:
= \(V\times Pw\times g\)
= \(1.538757\times 1025\times 9.8\)
= \(15456.8 \ N\)
When you park on a hill,the direction your __are pointed determines which direction your car will roll if the breaks fail
Answer:
Tires or wheels? I think this is the answer. ^_^
Explanation:
Determine the length of the base if the height of a triangle is 28 feet and the area of the triangle is 350 square feet.
Answer: 25 ft
Explanation:
For a triangle, the area is given by
A = (1/2)base*height
Rearranging,
base = 2A/height
Substituting the given values,
base = 2(350 ft^2)/(28 ft) = 25 ft
el protozoos es del reino protista?
Answer: Si (Yes)
Explanation:
Answer:
Protozoario o protozoo es un organismo unicelular y eucariota (con núcleo celular definido) perteneciente al Reino protista. Los protozoarios se encuentran junto con los protófitos o algas simples, generalmente acuáticas, dentro del Reino protista o también denominado Reino protoctista.
Explanation:
With an example, describe the scaling issues and data volatility in IoT systems.
Answer:
What are some of the scalability issues in large IoT systems?
IoT Scalability Issues: 5 Essential Considerations
Large Wireless System Capacity. ...
Simplified Network Planning and Setup. ...
Interoperable Architecture. ...
Remote Network and Device Management. ...
Flexible and Scalable Software Infrastructure. ...
5 Common Myths about LPWAN for IoT Debunked.
Explanation:
Which best explains Susan B Anthony purpose in her speech “Women’s rights to the suffrage”
Answer:
She wrote and delivered a speech in 1873, which came to be known as the “Women's Rights to the Suffrage” speech. In her address, she lets the audience know of her “crime” of voting. She reminds the listener that the Constitution of the United States says “we the people” and does not exclude women as people
Answer:
D. To show why she was justified in voting.
Explanation:
Derive the equations of motion for an airplane in descending gliding
flight (T=0) in a vertical plane. First, draw a free body diagram
showing an aircraft in gliding flight and all the coordinate systems,
angles, and forces. Here, assume that the velocity vector is at an
angle φ below the horizon and that the aircraft is at a positive angle
of attack α. Show that these equations have one mathematical
degree of freedom and are the same as those obtained from Eqs.
(2.24) with T = 0 and γ = −φ
In descending gliding flight, an airplane experiences several forces and moments. The derived equation is ΣFx = W cos(γ + α) - L = 0.
To derive the equations of motion, let's start by drawing a free body diagram.
The diagram includes the following elements:
The aircraft, represented by a body with the longitudinal and vertical axes.
A coordinate system with an x-axis (horizontal) and a y-axis (vertical) that are fixed with respect to the Earth.
The velocity vector, which makes an angle φ (phi) below the horizon.
The weight force acting vertically downward.
The lift force perpendicular to the velocity vector.
The drag force opposite to the velocity vector.
The thrust force, assumed to be zero for gliding flight.
Now, let's consider the forces acting on the aircraft. The weight force can be decomposed into components: Wx in the x-direction and Wy in the y-direction.
The lift force can be decomposed into components: Lx in the x-direction and Ly in the y-direction.
The drag force can be decomposed into components: Dx in the x-direction and Dy in the y-direction.
In the vertical plane, the equations of motion are given by:
ΣFy = Wy + Ly - Dy - W = 0, where W is the weight of the aircraft.
ΣFx = Wx + Lx - Dx = 0.
We can rewrite these equations using trigonometric relationships:
ΣFy = W sin(γ + α) - D - W = 0, where γ is the glide path angle (equal to -φ in this case).
ΣFx = W cos(γ + α) - L = 0.
Since the aircraft is in gliding flight, the thrust force T is assumed to be zero.
These equations of motion have only one degree of freedom because the aircraft's motion is constrained to the vertical plane.
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Suppose the beam is carrying a known shear load of RD = 28 kN . In this particular situation, the resistance factor is ϕ=0.9 for the shear load, and the nominal shear stress is 204 MPa . What is the magnitude of the maximum live load (in addition to RD) that can be supported in shear by this beam? Express your answer to three significant figures with the appropriate units.
Answer:
49.5 kN
Explanation:
From the information given:
\(R_D = 28 \ kN\) \(\delta _D = 1.4; \ \ \ \delta _L = 1.6\)
\(\sigma_n = 204 \ MPa; \ \ \ A_w = 6.45 \ cm^2 = 645 \ mm^2\)
Thus ; \(P_n = \dfrac{\sigma_n}{\frac{1}{A}} \\ \\ = \ {\sigma_n}*{A} \\ \\ = 645 *204 \\ \\ = 131.58 \ kN\)
From the given inequality; maximum live load (in addition to RD) that can be supported in shear by this beam is calculated by using the relation;
\(\phi P_n \geq \sum \delta_i R_i \\ \\ \geq \delta_DR_D + \delta_L R_L \\ \\ 0.9*131.58 \geqq [1.4*28+1.6*R_L ] \\ \\ 118.4 \geq 39.2+ 16 R_L \\ \\ 118.4 - 39.2 \geq 16R_L \\ \\ 79.2 \geq 16R_L\\ \\ R_L \leq 49.5 \ kN\)
Which of the following is an example of a tax
Answer:
A tax is a monetary payment without the right to individual consideration, which a public law imposes on all taxable persons - including both natural and legal persons - in order to generate income. This means that taxes are public-law levies that everyone must pay to cover general financial needs who meet the criteria of tax liability, whereby the generation of income should at least be an auxiliary purpose. Taxes are usually the main source of income of a modern state. Due to the financial implications for all citizens and the complex tax legislation, taxes and other charges are an ongoing political and social issue.
I dont know I asked this to
Explanation:
The reading on a mercury manometer at 70(°F) (open to the atmosphere at one end) is 25. 62(in). The local acceleration of gravity is 32. 243(ft)•(s)−2. Atmospheric pressure is 29. 86(in Hg). What is the absolute pressure in (psia) being measured? The density of mercury at 70(°F) is 13. 543 g•cm−3
The absolute pressure in psia being measured is; 27.228 psia
What is the absolute Pressure?
Formula for absolute Pressure is;
Absolute pressure = Atmospheric pressure + Gauge pressure
P_{abs} = P_{atm} + P_g
We are given;
P_atm = 29.86 (in Hg) = 14.666 psia
Density of mercury at 70 °F; ρ = 13.543 g/cm³
Mercury Manometer reading; h = 25.62 in
Acceleration due to gravity; g = 32.243 ft/s²
Gauge pressure of the mercury = ρgh = 13.543 * 25.62 * 32.243
When we multiply and covert to psia gives; P_g = 12.562 psia
Thus;
P_abs = 14.666 + 12.562
P_abs = 27.228 psia
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If when you insert a set of blank labels in a Word document and you cannot see an outline of your labels, it's because the are turned off. (type your answer in the space below) Question 18 1 pts the records of a data source determines the order in which the records are merged. (type your answer in the space below) Question 19 1 pts What is the word that goes along with IF and THEN when doing a mail merge? (type your answer in the space below)
1- The statement given "the records of a data source determines the order in which the records are merged. " is true because the records of a data source determine the order in which the records are merged.
The order of records in the data source directly determines the order of merging in a mail merge. If records are sorted in ascending order, the merged document follows that order. Randomized records in the data source result in a merged document with a corresponding random order. Thus, the arrangement of records in the data source dictates the merging order.
2- The word that goes along with "IF" and "THEN" when doing a mail merge is "ELSE."
In a mail merge process, the word "ELSE" is used in conjunction with "IF" and "THEN" to create conditional statements. These statements allow you to specify different actions or content based on certain conditions during the merge. The "ELSE" keyword specifies an alternative action or content that should be applied if the condition in the "IF" statement is not met.
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Centrifugal pump delivers water against a net head of 14. 5 m and at designed speed of 1000 rpm. The vanes are curved back at an angle of 300 with the periphery. The impeller diameter is 300 mm and outlet width 50 mm. Determine the discharge of the pup, if the manometric efficiency is 95 %
The discharge of the pump is approximately 0.0744 cubic meters per second.
To determine the discharge of the centrifugal pump, we need to consider the head, impeller diameter, outlet width, and the manometric efficiency.
Given:
Net head (H) = 14.5 m
Impeller diameter (D) = 300 mm = 0.3 m
Outlet width (W) = 50 mm = 0.05 m
Manometric efficiency (η) = 95% = 0.95
The discharge (Q) can be calculated using the following formula:
Q = (π/4) * D^2 * W * N / (g * H * η)
where:
π = 3.14159 (pi)
D = Impeller diameter
W = Outlet width
N = Speed of the pump in revolutions per minute (rpm)
g = Acceleration due to gravity (9.81 m/s^2)
H = Net head
η = Manometric efficiency
Substituting the given values into the formula:
Q = (3.14159/4) * (0.3)^2 * 0.05 * 1000 / (9.81 * 14.5 * 0.95)
Simplifying the equation:
Q ≈ 0.0744 m^3/s
Therefore, the discharge of the pump is approximately 0.0744 cubic meters per second.
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1. A thin-walled cylindrical pressure vessel is capped at the end and is subjected to an internal pressure (p). The inside diameter of the vessel is 6 ft and the wall thickness is 1.5 inch. The vessel is made of steel with tensile yield strength and compressive yield strength of 36 ksi. Determine the internal pressure required to initiate yielding according to (a) The maximum-shear-stress theory of failure, and (b) The maximum-distortion-energy theory of failure, if a factor of safety (FS) of 1.5 is desired.