The program takes user input for the number of elements in an array and the array elements.
```cpp
#include <iostream>
#include <unordered_set>
using namespace std;
int main() {
int n;
cout << "Input the number of elements to be stored in the array: ";
cin >> n;
int arr[n];
cout << "Input " << n << " elements in the array:\n";
for (int i = 0; i < n; i++) {
cout << "element - " << i << ": ";
cin >> arr[i];
}
unordered_set<int> uniqueElements;
for (int i = 0; i < n; i++) {
uniqueElements.insert(arr[i]);
}
cout << "The unique elements found in the array are: ";
for (int element : uniqueElements) {
cout << element << " ";
}
cout << endl;
return 0;
}
```
- The program prompts the user to input the number of elements and the elements of the array.
- It then uses an unordered set, `uniqueElements`, to store the unique elements encountered in the array.
- The elements are inserted into the set using a loop.
- Finally, the program prints the unique elements found in the array.
The program takes user input for the number of elements in an array and the array elements. It then finds and prints the unique elements present in the array.
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External crack of length of 3.0 mm was detected on the surface of the shaft of wind turbine made from 4340 steel. The diameter of the shaft of wind turbine is equal to 32 mm. Assume the shaft is subjected to a maximum load of 50,000 N during operation and the radius of the curvature of the crack is 3 x 10-2 mm. Determine the Fracture toughness KC of the shaft Express your answer in to four significant figures. Do not include the units.
Answer:
The correct answer is "\(K_c=6.0369 \ MPa\sqrt{m}\)".
Explanation:
Given:
Maximum load,
P = 50,000 N
Crack length,
a = 3mm
or,
= 3×10⁻³ m
Diameter,
d = 32 mm
As we know,
⇒ Maximum stress, \(\sigma=\frac{P}{A}\)
\(=\frac{50000}{(\frac{\pi}{4}\times 32^2)}\)
\(=62.20 \ N/mm^2\)
Now,
⇒ Fracture tougness, \(K_c=Y \sigma\sqrt{\pi a}\)
On substituting the values, we get
\(=1\times 62.20\times \sqrt{3.14\times 3\times 10^{-3}}\)
\(=6.0369 \ MPa\sqrt{m}\)
Why is California a good place for engineers to build suspension bridges?
Think about how could you design, build, and test a light maze. What specific behavior of light will be essential to the success of your design It is due today
Answer:
Reflection
Explanation:
The specific behavior of light that will be essential to ensure the success of your design is "Reflection". This is because light maze makes use of a mirror and it's the light that is reflected that we see with our eyes. Also, the manner in which light is reflected off objects will affect the colors that are reflected as well.
True or false: A logical operator always evaluates to NULL when one or both operands are NULL True False Question 9 (2 points) Which of these are true about NULL values? Select all that apply. A NULL value is the same as a zero value but different from an empty string. A NULL value is the same as a zero value or an empty string. O A NULL value is different from a zero value or an empty string. One NULL is never equal to another. Two NULL values are equal in some situations. Any two NULL values are always equal.
For the statement "A logical operator always evaluates to NULL when one or both operands are NULL," the answer is false. A logical operator does not always evaluate to NULL when one or both operands are NULL. The evaluation of logical operators depends on the specific rules and logic implemented in the programming language or system being used.
In most programming languages, the behavior of logical operators when dealing with NULL values depends on the specific rules defined by the language or system. However, in many cases, logical operators do not evaluate to NULL when one or both operands are NULL. Here are a few common scenarios:
AND operator (&&): If one of the operands is NULL, the result will be NULL. However, if both operands are non-NULL, the result will be determined based on the truth values of the operands.OR operator (||): If one of the operands is NULL, the result will be determined based on the truth value of the other non-NULL operand. If both operands are NULL, the result will be NULL.NOT operator (!): If the operand is NULL, the result will be NULL. If the operand is non-NULL, the result will be the logical negation of the operand's truth value.It's important to consult the documentation or specific rules of the programming language or system you are working with to determine the behavior of logical operators when NULL values are involved.
Regarding the true/false statements about NULL values:
A NULL value is different from a zero value or an empty string: TrueOne NULL is never equal to another: TrueTwo NULL values are equal in some situations: TrueThese statements are true based on the common understanding of NULL values in programming and database systems. NULL represents the absence of a value or unknown value, and it is distinct from specific values such as zero or an empty string. Additionally, NULL values are typically not considered equal to each other, as they represent different unknown values. However, there can be situations where two NULL values are considered equal in specific comparisons or operations, depending on the rules defined by the language or system.
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A new highway is to be constructed. Asphalt paving will be used. The asphalt will cost $180/ft, including the material and paving operation. Due to heavy usage, the asphalt is expected to last 5 years before requiring resurfacing. The cost of resurfacing will be the same price/ft in the future. Paved ditches must be installed on each side of the highway and will cost $52.50/ft to install; ditches will have to be repaved in 15 years at a cost equal to the initial cost. Four pipe culverts are required/mile; each costs $28,000 and will last 10 years; replacements will cost $10,000, each, forever. Annual maintenance of the highway will cost $9,000/mi. Cleaning each culvert will cost $1,250/ yr. Cleaning and maintaining each ditch will cost $3.75/ft every year. Important reminder: There are four culverts each mile. Two ditches are necessary (there is one on each side of the roadway). Using a 3.0\% MARR, what is the capitalized cost (CC) per mile for the highway?
The capitalized cost (CC) per mile for the highway, considering the initial construction, resurfacing, installation and replacement of culverts, installation and maintenance of ditches, and annual maintenance, with a 3.0% minimum attractive rate of return (MARR), can be calculated by summing up the present values of all the costs involved over the lifespan of the highway.
To determine the capitalized cost per mile, we need to calculate the present value of each cost component and then sum them up. The present value represents the current worth of future costs, taking into account the time value of money.
First, we calculate the present value of the initial asphalt paving cost, resurfacing cost, and installation of ditches. Since they occur at the beginning of the highway's lifespan, their present values are equal to their actual costs.
Next, we calculate the present value of the culvert costs, including the initial installation and the cost of replacements every 10 years. The present value of each culvert's replacement cost is obtained by discounting the future cost at the given MARR.
Then, we calculate the present value of the annual maintenance costs for the highway, including the cleaning and maintenance of culverts and ditches. These costs occur every year and are discounted to their present value using the MARR.
Finally, we sum up all the present values of the costs mentioned above to obtain the capitalized cost per mile for the highway.
It's important to note that the calculation assumes a constant annual cost for maintenance, cleaning, and repaving of ditches throughout the lifespan of the highway. Adjustments for inflation or other factors may need to be considered for more accurate cost estimation.
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In general, equipment terminations for circuits rated 100 A or less, or designed for 14 AWG through 1 AWG conductors, are rated for use on ? . Conductors with a higher rated insulation termination are allowed, provided the conductor's ampacity is selected from the lower rating.
In general, equipment terminations for circuits rated 100 A or less, or designed for 14 AWG through 1 AWG conductors, are rated for use on conductors with a 60-degree C or 75-degree C rated insulation.
Conductors with a higher rated insulation termination are allowed, provided the conductor's ampacity is selected from the lower rating.What are equipment terminations? Equipment terminations refer to a device or a portion of an electrical conductor that's attached to the terminal, which helps in connecting the conductor to a circuit.
In addition, these equipment terminations usually help in terminating the wire's end to a termination block, connector, or contact.
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A correctly designed and installed air curtain can be used to prevent what
To prevent pests from coming it!
A correctly designed and installed air curtain can be used to prevent insects, dust, and debris from entering a building
How to determine what it preventsAn air curtain, when correctly designed and installed, can prevent insects, dust, and debris from entering a building. It can also act as a thermal barrier, blocking the transfer of heat or cold, disperse odors, and contain smoke in the event of a fire.
A correctly designed and installed air curtain can be used to prevent or minimize several things.
It's important to note that the effectiveness of an air curtain depends on various factors, such as its design, installation, and maintenance. Proper sizing, airflow velocity, and positioning are crucial to achieving the desired results.
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Answer:
thats a really cool design or whatever you got there.
Explanation:
niceeeeeeee :)
Which of the following have a significant influence on a material's electrical resistivity?(choose all that apply)
A. Impurity concentration
B. Temperature
C. Grain size
D. Percent cold work
E. Vacancy concentration
The factors that have a significant influence on a material's electrical resistivity are:
A. Impurity concentration
B. Temperature
C. Grain size
D. Percent cold work
E. Vacancy concentration
Electrical resistivity is a measure of a material's opposition to the flow of electric current. Various factors can affect the resistivity of a material.
Impurity concentration refers to the presence of foreign substances in the material, which can disrupt the flow of electrons and increase resistivity. Temperature influences resistivity as it affects the thermal vibrations of atoms, impacting the movement of electrons. Grain size refers to the size of the grains or crystals in the material, and smaller grain sizes can lead to higher resistivity due to increased grain boundary scattering. Percent cold work relates to the amount of plastic deformation the material has undergone, altering its microstructure and affecting resistivity. Vacancy concentration refers to the presence of empty spaces or vacancies in the material's lattice structure, which can impede electron flow and increase resistivity.Therefore, options A, B, C, D, and E all have a significant influence on a material's electrical resistivity.
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What Kind Of Algorithm Technique Is Used By The Linear Search Algorithm? Name The Technique And Explain Why You Believe
The linear search algorithm uses a technique called "Sequential Search" or "Linear Search."
Linear search is a simple algorithm that sequentially checks each element in a list or array until it finds the target element or reaches the end of the list. It starts from the beginning and compares each element in order until a match is found or the end of the list is reached.
Linear search can be considered a brute force or naive search technique because it examines each element one by one in a linear manner, without any specific order or optimization. It does not require any pre-processing or special data structures.
Linear search fits under the category of "Sequential Search" because it follows a sequential, step-by-step approach to find the desired element. It is particularly useful when the list or array is unsorted or when there is no additional information available to optimize the search process.
While linear search is straightforward to implement, it has a time complexity of O(n), where n is the number of elements in the list. This means that the search time increases linearly with the size of the list.
As a result, linear search is more efficient for smaller lists or when the target element is located toward the beginning of the list. For larger lists or frequent searches, other algorithms like binary search or hash-based techniques provide faster search times.
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A closed vessel of volume 80 litres contains 0.5 N of gas at a pressure of 150 kN/m2. If the gas is compressed isothermally to half its volume, determine the resulting pressure.
Answer:
The resulting pressure of the gas when its volume decreases is 300 kN/m².
Explanation:
Given;
initial volume of the gas, V₁ = 80 L
number of moles of the gas, n = 0.5 moles
initial pressure of the gas, P₁ = 150 kN/m² = 150 kPa
Determine the constant temperature of the gas using ideal gas equation;
PV = nRT
where;
R is ideal gas constant = 8.315 L.kPa/K.mol
T is the constant temperature
\(T = \frac{P_1V_1}{nR} \\\\T = \frac{150.kPa \ \times \ 80 .L}{0.5 .mol \ \times \ 8.315(L.kPa/mol.K)} \\\\T = 2,886.35 \ K\)
When the gas is compressed to half of its volume;
new volume of the gas, V₂ = ¹/₂ V₁
= ¹/₂ x 80L = 40 L
The new pressure, P₂ is calculated as;
\(P_2V_2 = nRT\\\\P_2 = \frac{nRT}{V_2} \\\\P_2 = \frac{0.5 \times 8.315\times 2886.35}{40} \\\\P_2 = 300 \ kPa = 300 \ kN/m^2\)
Therefore, the resulting pressure of the gas when its volume decreases is 300 kN/m².
Asynchronous communications does not happen in real time.a. trueb. false
Answer:
true
Simply put, asynchronous communication is communication that doesn't happen in real-time (e.g. on the phone, in-person, or during a live video conferencing meeting). For instance, in the above example, your coworker is busy and can't properly comprehend the information you're providing when you visit her desk.
an air compressor has a gauge pressure of 175 psig and surrounding environment is at 26 psia what is the absolute pressure
The absolute pressure of the air compressor is 201 psia.
What is the total pressure of the air compressor when considering the surrounding environment?The absolute pressure of an air compressor is determined by combining the gauge pressure and the atmospheric pressure. In this scenario, the gauge pressure is specified as 175 psig, indicating that it is measured in relation to atmospheric pressure. Meanwhile, the surrounding environment is at 26 psia, which represents absolute pressure. By adding the gauge pressure of 175 psig to the atmospheric pressure of 26 psia, we obtain a total absolute pressure of 201 psia. This calculation allows us to ascertain the overall pressure within the air compressor, accounting for both the gauge pressure and the surrounding atmospheric conditions.
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(fill in the blank) is the process of designing a product for efficient production at the highest level of quality.
DFM is the process of designing a product for efficient production at the highest level of quality.
What is DFM explain?Design for Manufacturing (DFM) is the practice of creating parts, components, or entire products with the intention of constructing them more easily and at a reduced cost. By streamlining, improving, and perfecting the product design, this is accomplished.The process of designing a product for the most effective production at the greatest degree of quality is known as DFM. Designing for the Environment (DfE) refers to the explicit consideration of environmental issues throughout the design of products, services, and processes, and includes techniques like designing for recycling and disassembly.Designing for vertical assembly, in which components are put together straight down, is an illustration of the Design for Manufacturing principle.To learn more about DFM refer to:
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Fiscal policy defined
Fiscal policy is the use of government spending and taxation to influence the economy. It involves decisions made by the government regarding how much money should be spent on public goods and services, such as education, healthcare, and infrastructure, and how much revenue should be collected through taxes.
Fiscal policy is often used to promote economic growth and stability, such as during a recession when the government may increase spending to stimulate the economy. However, it can also be used to combat inflation by reducing government spending and increasing taxes.
Fiscal policy is defined as the use of government revenue collection (taxation) and expenditure (spending) to influence the economy. It is a tool utilized by the government to achieve economic objectives, such as promoting growth, managing inflation, reducing unemployment, and maintaining a stable balance of payments. Fiscal policy can be adjusted through changes in tax rates, government spending, and public debt management, depending on the economic goals and prevailing conditions.
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The ______________________________ instruction transfers either a number or content of a register to a destination register.
The MOV instruction transfers either number or content of a register to a destination register.
What is mov education?The mov instruction replicates the data item referred to by its second operand (i.e. register contents, memory contents, or a constant value) into the location directed to by its first operand (i.e. a register or memory). While register-to-register moves are possible, natural memory-to-memory moves are not.
What is mov in opcode?
"mov" is an instruction, encoded with the system code or "opcode" 0xb8. Since mov takes an opinion, the next 4 bytes are endless to move into eax. The opcode 0xb9 carries a constant into ecx. 0xba carries a constant into edx.
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In order to write a good problem statement, you need to identify the following components of the problem.
who, what, when, how
O True
O False
Answer:
True.
Explanation:
Other than applying a strain to the gauge, what is the primary external/environmental factor that will influence the readings of a strain gauge?
Answer:
Temperature of the environment
Explanation:
Aside the strain applied to the strain gauge there are several other factors that might affect the reading of the strain gauge, and they are either external or internal factors like ; resistivity, length, and material of the strain gauge.
But the primary external factor is the Temperature of the environment when reading is taken
A laminated steel ring is wound with 3000 turns. When the magnetism current varies between 7 and 9 A, the magnetic flux varies between 860 and 900Nwb, calculate the incremental inductance of the coil over this range of current variation
Answer:
60000 H
Explanation:
We are given;
Number of turns; N = 3000 turns
Change in flux = 900 - 860 = 40 Wb
Change in current = 9 - 7 = 2 A
Now, the formula for incremental inductance is given as:
L = N(Change in flux/Change in current) where;
N is Number of turns
Plugging in the relevant values, we have;
L = 3000(40/2)
L = 60000 H.
Precast concrete curtain wall panels: Group of answer choices are typically manufactured on site and then hoisted into place. often are unreinforced.
Answer:
c) can be made with a variety of surface finishes.
Explanation:
The missing options are;
When it comes to concrete work in construction, the concrete can be cast either in-situ or in form of pre-cast concrete.
Now in-situ concrete means concrete done on the construction site being built while pre cast concrete simply means concrete cast outside in a factory or yard and brought to site to mount.
These pre cast concrete could have different surface finishes as required as this is one of it's advantages over in situ because there is a lot of space and room to have the desired concrete finish.
a) are typically manufactured on site and then hoisted into place.
b) cannot be fiber-reinforced.
c) can be made with a variety of surface finishes.
d) never include insulation.
e) often are unreinforced.
Consider the following method , which is intended to return the number of columns in the two -dimensional array arr for which the sum of the elements in the column is greater than the parameter val public int count Cols (int arr , int val ) int count = 0; for (int col = 0; col < arr (0] . length ; col ++) / / Line 5 int sum = 0; for (int row : col ) / / Line sum += row [col ] ; / / Line 10 if ( sum > val ) count ++; return count ; The countCols method does not work as intended . Which of the following changes should be made so the method works as intended ? (A) Line 5 should be changed to for (int col = 0; col < arr . length ; col + +) (B) Line 8 should be changed to for (int row : col ) (C) Line 8 should be changed to for (int row : arr ) (D) Line 10 should be changed to sum += arr [col ] ; (E) Line 10 should be changed to sum += arr [ row ] [col ] ;
The correct answer is (E) Line 10 should be changed to sum += arr [ row ] [col ] ;The countCols method is intended to return the number of columns in the two-dimensional array arr for which the sum of the elements in the column is greater than the parameter val. However, the method does not work as intended because the sum of the elements in the column is not being calculated correctly. In Line 10, the code should be changed to sum += arr [ row ] [col ] ;
Below is the java code that runs correctly.
import java.io.*;
import java.math.*;
public class Main{
public static void main(String args[]) throws IOException {
BufferedReader in = new BufferedReader(new InputStreamReader(System.in));
int arr[][], col, numbrsofcol,row, val ;
arr = new int[5][5];
System.out.println("Find the number of columns in an array whose sum of the elements in the column is greater than *val*");
System.out.print("Enter value of val: ");
val = Integer.parseInt(in.readLine());
// Generate array data and display itfor (row=0;row<arr.length;row++) {
for (col=0;col<arr.length;col++) {
arr[row][col] = (int) Math.floor(Math.random()*50)+10;
System.out.print(arr[row][col]+" ");}
System.out.println("");}
// Call functionnumbrsofcol = countcols(arr,val);
// OutputSystem.out.println("Number of columns is: "+numbrsofcol);}
public static int countcols(int arr[][], int val) {
int numbrsofcol = 0;
System.out.println("Sum of colum");
System.out.println("c1 c2 c3 c4 c5");
for (int col=0;col<arr.length;col++) {
int sum = 0;
for (int row=0;row<arr.length;row++) {
// Calculate the sum of the elements in each columnsum += arr[row][col];}
System.out.print(sum+" ");
// Count columns whose sum is greater than valif (sum>val) {
numbrsofcol = numbrsofcol+1;}}
System.out.println("");
return numbrsofcol; }}
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What is the condition for maximum efficiency in a DC motor?
Answer:
The efficiency of a DC generator is maximum when those losses proportional to the square of the load current are equal to the constant losses of the DC generator. This relation applies equally well to all rotating machines, regardless of the type of machine.
Explanation:
A bar of mild steel has a diameter of 75 mm and is placed inside a hollow aluminum cylinder ofinternal diameter 75 mmand external diameter 100 mm; both bar and cylinder are the same length. Theresulting composite bar is subjected to an axial compressive load of 1000 kN. If the bar and cylindercontract by the same amount, calculate the stress in each. The temperature of the compressed compositebar is then reduced by 150Cbut no change in length is permitted. Calculate the final stress in the bar and the cylinder if E(steel)= 200,000 N/mm^2, E(aluminum)= 80,000 N/mm^2, coefficient of linear expansion for steel= 0. 0000012/C and coefficient of linear expansion for aluminum= 0. 000005/C
According to the question: the Stress in cylinder is 1813 N/mm^2.
What is cylinder?A cylinder is a three-dimensional geometric shape with two circular bases, one at each end, connected by a curved surface. The curved surface is a straight line connecting the two circular bases and is called the side or lateral surface. The two circular surfaces that make up the cylinder are called the bases.
The initial stress in the bar and cylinder can be calculated using the following equation:
Stress = Load / (Area of bar x Area of cylinder)
Stress in bar = 1000 kN / (π*(75/2)^2 * π*(75/2)^2) = 2300 N/mm^2
Stress in cylinder = 1000 kN / (π*(75/2)^2 * π*(100/2)^2) = 1875 N/mm^2
The final stress in the bar and cylinder can be calculated using the following equation:
Stress = (Load + Change in Length * Modulus of Elasticity * Coefficient of Linear Expansion * Change in Temperature) / (Area of bar* Area of cylinder)
Stress in bar = (1000 kN + (75 mm * 200000 N/mm^2 * 0.0000012/C * -150C)) / (π*(75/2)^2 * π*(75/2)^2) = 2250 N/mm^2
Stress in cylinder = (1000 kN + (75 mm * 80000 N/mm^2 * 0.000005/C * -150C)) / (π*(75/2)^2 * π*(100/2)^2) = 1813 N/mm^2
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You need to develop a report of maximum 1-2 pages containing the answers for the following questions. Answer both the questions given below. (90 marks) 1. Identify someone you know that works for a relatively large organization (e.g., a bank, insurance company, manufacturer, electric utility, etc.). Ask that person to identify an information system that is used by the organization to automate or support decision making. By interviewing your contact person (and possibly others within the organization, if appropriate), try to address the following issues:
Functional structure is most suitable when the size of the organization is large, has diversified activities, and operations require a high degree of specialization.
What Is an Information System?In order to give automation in decision-making or problem-solving, a decision support system is an information system that analyses business data and other information relevant to the firm. When difficulties arise while running the business, a management employs it.
Automated Information Systems (AIS) are computer-based collections of data and software that automate the management of operations and information by using the input of diverse resources. The result is meaningful output that can assist a business in making strategic decisions. T
he definition of an information system includes two viewpoints: one that focuses on its structure and the other that focuses on its function. An information system serves as a technologically enhanced medium for the goal of capturing, preserving, and spreading language expressions as well as for the supporting.
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The object in ....................... shadow is not seen completely
Answer:
Dark shadow
Explanation:
Shadow is nothing but space when the light is blocked by an opaque object. It is just that part where light does not reach. When you stand in the sun, you are able to see your shadow behind you. ... This is because our body is opaque and does not allow the light to pass through it
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A 400 kVA transformer has a primary winding resistance of 0.5 ohm and a secondary winding resistance of 0.001 ohm. The iron loss is 2.5 Kw and the primary and secondary voltages are 5 kV and 320 V respectively. If the power factor of the load is 0.85, determine the efficiency of the transformer on full load
The efficiency of the transformer on full load is 94.92%.
Efficiency of the transformer is the ratio of output power to input power.
Efficiency = (Output Power / Input Power) x 100%
The input power to the transformer is given as Input Power = Output Power + Transformer Losses. The transformer losses can be categorized as copper losses and iron losses.
Copper losses are caused by the resistance of the winding, and are proportional to the square of the current flowing through the winding. On the other hand, iron losses are caused by the magnetization and demagnetization of the core laminations, and are proportional to the frequency of the applied voltage.
Let's determine the copper losses for both the primary and secondary winding of the transformer.
Copper Losses in Primary Winding:
\(P_p = I_p^2 * R_p = (KVA / V_p)^2 * R_p\)
\(= (400 / 5000)^2 * 0.5\)
\(= 0.016 KW = 16 W\)
Copper Losses in Secondary Winding:
\(P_s = I_s^2 * R_s\)
\(= (KVA / V_s)^2 * R_s\)
\(= (400 / 320)^2 * 0.001\)
\(= 0.025 KW = 25 W\)
Iron losses for the transformer = 2.5 KW.
The Input power to the transformer at full load = Output Power + Transformer Losses = 400 KVA x 0.85 + 16 + 25 + 2.5 = 358.5 KW.
We know that Efficiency of the transformer is the ratio of output power to input power. Efficiency = (Output Power / Input Power) x 100%.
Efficiency of transformer on full load = 340 / 358.5 x 100% = 94.92%.
Therefore, the efficiency of the transformer on full load is 94.92%.
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What is the basic requirement of measurements?
The basic requirement of measurements is to have a standard or reference point against which to compare the quantity being measured. This standard or reference point should be well-defined and stable, and the measurement process should be repeatable and consistent. Additionally, it is important to ensure that the measurement equipment is calibrated and in good working condition.
Answer:
The most basic requirement for measurements is the presence of a standard or reference point against which the quantity being measured can be compared. The measurement process should be repeatable and consistent, and the standard or reference point should be well-defined and stable. Furthermore, ensure that the measurement equipment is calibrated and in good working order.
Explanation:
what process is used to remove collodal and dissolved organic matter in waste water
Answer:
Aerobic biological treatment process
Explanation:
Aerobic biological treatment process in which micro-organisms, in the presence of oxygen, metabolize organic waste matter in the water, thereby producing more micro-organisms and inorganic waste matter like CO₂, NH₃ and H₂O.
Finely dispersed acrylate adhesive droplets in water are prepared and their specific area and solubility are measured at 25°c. it is found that the preparation has a specific area of 4.25 x 10^5 cm^2/g and the solubility is 11.5% higher than the one of the bulk liquid. calculate the size and the interfacial tension of the droplets, if the molar volume of the drug is vmol = 22.3 cm^3/mol. assume that the drug has the density of water (1.0 g/cm^3).
The size of the droplets is 0.58 x \(10^{-7\) cm and the interfacial tension of the droplets is 0.059 N/m.
The size and the interfacial tension of the droplets can be calculated as follows:
Droplet size:The specific area (a) of the droplets can be expressed as: a = (6/Vd) x (1/r)
where Vd is the volume of the droplet and r is the radius of the droplet. Solving for the volume of the droplet gives: Vd = (6/r) x (1/a)
The specific area (a) can be converted to surface area per unit mass (S) using the following equation: S = a x (1/d)where d is the density of the droplet, which is assumed to be equal to the density of water (1.0 g/cm³).
Therefore, S = a cm²/g.
Substituting the given values in the above equations, we get:
Vd = (6/4.25 x \(10^{5\) ) x (1/1.0 x \(10^{3\) ) = 1.41 x \(10^{-11\) cm³S = 4.25 x \(10^{5\) cm²/g
Radius of the droplet can be calculated as: r = (3Vd/4π)^(1/3) = (3 x 1.41 x 10^-11 / 4π)^(1/3) = 0.58 x \(10^{-7\) cm
Interfacial tension: The solubility of the droplets (S) can be related to the interfacial tension (γ) by the following equation: S = (γVm) / (RT lnS)where Vm is the molar volume of the drug, R is the gas constant, and T is the temperature. Solving for the interfacial tension (γ) gives: γ = (S x RT lnS) / Vm
Substituting the given values in the above equation, we get:
γ = (11.5/100) x (8.314 x 298) x ln(11.5/100) / 22.3= 0.059 N/m
Therefore, the size of the droplets is 0.58 x \(10^{-7\) cm and the interfacial tension of the droplets is 0.059 N/m.
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A block of ma M1 reting on an inclined plane i connected by a tring and pulley to another
block of ma M2 a hown in Fig. Find the tenion in the tring and acceleration of the block. Aume the coefficient of friction between the block M1 and the plane to be 0. 2. M1 =1500N, M2 =
1000N. Angle of inclined plane = 450
To find the tension in the string and the acceleration of the block, we can use the equations of motion for the system.
Assuming the mass of the block M1 is 1500N and the mass of the block M2 is 1000N, the equation of motion for the system is given by:
T - μMgcos(θ) = M1a + M2a
Where T is the tension in the string, μ is the coefficient of friction between the block M1 and the inclined plane, Mg is the weight of the blocks, θ is the angle of the inclined plane, and a is the acceleration of the blocks.
Substituting the given values, we get:
T - 0.2(1500 + 1000)9.81cos(45°) = 1500a + 1000a
Simplifying, we get:
T = 6715N - 3000a
Solving for a, we get:
a = (6715 - T)/3000
Therefore, the acceleration of the block is given by (6715 - T)/3000, where T is the tension in the string.
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