The Stefan-Boltzmann law can be employed to estimate the rate of radiation of energy H from a surface, as in H = AeσT4 where H is in watts, A=the surface area(m2 ), e=the emissivity that characterizes the emitting properties of the surface (dimensionless), σ = a universal contact called the Stefan-Boltzmann constant (= 5.67×10−8Wm−2K−4 ), and T= absolute temperature (K). Determine the error of H for a steel plate with A = 0.15m2 , e = 0.90, and T = 650 ± 20. Compare your results with the exact error. Repeat the computation but with T = 650±40. Interpret your results.

Answers

Answer 1

The error in H for a steel plate with A = 0.15 m\(^2\), e = 0.90, and T = 650 ± 20 K is ΔH = √((0.90)(5.67×10\(^−8\) Wm\(^−2\)K\(^−4\))(650 K)\(^4\) x (0.15 m\(^2\))\(^2\) + (4)(0.15 m\(^2\))(0.90)(5.67×10\(^−8\) Wm\(^−2\)K\(^−4\))(650 K)\(^3\) x (20 K)\(^2\)), and for T = 650 ± 40 K is ΔH = √((0.90)(5.67×10\(^−8\) Wm\(^−2\)K\(^−4\))(650 K)\(^4\) x (0.15 m\(^2\))\(^2\) + (4)(0.15 m\(^2\))(0.90)(5.67×10\(^−8\) Wm\(^−2\)K\(^−4\))(650 K)\(^3\) x (40 K)\(^2\)).

How We Calculated The Error Of H For A Steel Plate

To determine the error of H for a steel plate using the given values, we'll consider the propagation of errors. The error in H can be calculated using the formula:

ΔH = √((∂H/∂A x ΔA)\(^2\) + (∂H/∂e x Δe)\(^2\) + (∂H/∂T x ΔT)\(^2\))

where ΔA, Δe, and ΔT are the uncertainties in A, e, and T, respectively.

Given:

A = 0.15 m\(^2\)

e = 0.90

T = 650 ± 20 K

We need to calculate the error for two cases: T = 650 ± 20 K and T = 650 ± 40 K.

Case 1: T = 650 ± 20 K

Using the Stefan-Boltzmann law, H = AeσT\(^4\)

Taking the derivative of H with respect to each variable:

∂H/∂A = eσT\(^4\)

∂H/∂e = AσT\(^4\)

∂H/∂T = 4AeσT\(^3\)

Substituting the given values:

∂H/∂A = (0.90)(5.67×10\(^−8\) Wm\(^−2\)K\(^−4\))(650 K)\(^4\)

∂H/∂e = (0.15 m\(^2\))(5.67×10\(^−8\) Wm\(^−2\)K\(^−4\))(650 K)\(^4\)

∂H/∂T = 4(0.15 m\(^2\))(0.90)(5.67×10\(^−8\) Wm\(^−2\)K\(^−4\))(650 K)\(^3\)

ΔA = 0.15 m\(^2\)

Δe = 0 (since it is a dimensionless value)

ΔT = ±20 K

Now we can calculate the error:

ΔH = √((∂H/∂A x ΔA)\(^2\) + (∂H/∂e x Δe)\(^2\) + (∂H/∂T x ΔT)\(^2\))

Substituting the values:

ΔH = √((0.90)(5.67×10\(^−8\) Wm\(^−2\)K\(^−4\))(650 K)\(^4\) x (0.15 m\(^2\))\(^2\) + 0 + (4)(0.15 m\(^2\))(0.90)(5.67×10\(^−8\) Wm\(^−2\)K\(^−4\))(650 K)\(^3\) x (20 K)\(^2\))

Repeat the same calculations for Case 2: T = 650 ± 40 K.

Interpretation:

By comparing the two cases, we can observe the effect of the larger temperature uncertainty on the error in H. As the temperature uncertainty increases from ±20 K to ±40 K, the error in H also increases.

This is because the derivative with respect to temperature (∂H/∂T) has a higher value, and thus, the error term (∂H/∂T x ΔT)\(^2\) contributes more to the overall error.

Therefore, a larger temperature uncertainty leads to a larger error in the estimated rate of radiation of energy.

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Related Questions

On a typical 120 volt circuit in your home, you may have a 15 ampere fuse or circuit breaker. What is the maximum power (watts) that this circuit can handle? How many 10 Watt light bulbs could you turn on without blowing the fuse?

Answers

Answer:

Maximum power is

P = V × I

P = 120 × 15

P = 1800 watt

a commercial refrigerator with r-134a as the working fluid is used to keep the refrigerated space at -35 c by rejecting waste heat to cooling water that enters the condenser at 18 c at a rate of 0.25 kg/s and leaves at 26 c. the refrigerant enters the condenser at 1.2 mpa and 50 c and leaves at the same pressure subcooled by 6 c. if the compressor consumes 3.3 kw of power , determine (a) the mass flow rate of the refrigerant, b) the refrigerant load, c) the cop, and d) the minimum power input to the compressor for the same refrigeration load.

Answers

At 1.2mpa pressure and 50c

What is pressure?
By pressing a knife against some fruit, one can see a straightforward illustration of pressure. The surface won't be cut if you press the flat part of the knife against the fruit. The force is dispersed over a wide area (low pressure).

a)Mass flow rate of the refrigerant
Therefore h1= condenser inlet enthalpy =278.28KJ/Kg
saturation temperature at 1.2mpa is 46.29C
Therefore the temperature of the condenser

T2 = 46.29C - 5
T2 = 41.29C

Now,
d)power consumed by compressor W = 3.3KW
Q4 = QL + w = Q4
QL = mR(h1-h2)-W
= 0.0498 x (278.26 - 110.19)-3.3
=5.074KW
Hence refrigerator load is 5.74Kg

(COP)r = 238/53
(Cop) = 4.490

Therefore the above values are the (a) mass flow rate of the refrigerant, b) the refrigerant load, c) the cop, and d) the minimum power input to the compressor for the same refrigeration load.

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10 kg/s Propane at 10 bar and 20 C is directed to an adiabatic rigid mixer and is mixed with 20 kg/s Propane at 10 bar and 40 C. What is the final volumetric flow rate in (m3/s) of the resulting mixture.

Answers

Answer:

The final volumetric flow rate will be "76.4 m³/s".

Explanation:

The given values are:

\(\dot{m_{1}}=10 \ kg/s\)

\(\dot{m_{2}}=20 \ Kg/s\)

\(T_{1}=293 \ K\)

\(T_{2}=313 \ K\)

\(P_{1}=P_{2}=P_{3}=10 \ bar\)

As we know,

⇒  \(E_{in}=E_{out}\)

\(\dot{m_{1}}h_{1}+\dot{m_{2}}h_{2}=\dot{m_{3}}h_{3}\)

\(e_{1}\dot{v_{1}}h_{1}+e_{2}\dot{v_{2}}h_{2}=e_{3}\dot{v_{3}}h_{3}\)

\(\frac{P_{1}}{RP_{1}}\dot{v_{1}} \ C_{p}T_{1}+ \frac{P_{2}}{RP_{2}}\dot{v_{2}} \ C_{p}T_{1}=\frac{P_{3}}{RP_{3}}\dot{v_{3}} \ C_{p}T_{3}\)

⇒  \(\dot{v_{3}}=\dot{v_{1}}+\dot{v_{2}}\)

         \(=\frac{\dot{m_{1}}}{e_{1}}+\frac{\dot{m_{2}}}{e_{2}}\)

On substituting the values, we get

         \(=\frac{10}{10\times 10^5}\times 8314\times 293+\frac{20\times 8314\times 313}{10\times 10^5}\)

         \(=76.4 \ m^3/s\)

briefly describe the effects on the time response as the poles are changed in each of the prelabs 2, 3, and 4.

Answers

Prelab 2: Changing the poles in a system's transfer function affects the time response by altering the system's stability and damping characteristics. Poles are responsible for determining the behavior of the system's transient response.

When the poles are changed in Prelab 2, the time response of the system may exhibit different characteristics such as faster or slower settling time, overshoot, or oscillatory behavior.

The poles of a transfer function are the values of s (complex frequency) that make the denominator of the transfer function zero. These poles play a crucial role in determining the system's stability and response characteristics.

If the poles are moved closer to the origin in the left half-plane, the system becomes more stable. This leads to faster settling time, reduced overshoot, and decreased oscillations. The system response will be smoother and less oscillatory.

On the other hand, if the poles are moved away from the origin or into the right half-plane, the system becomes less stable. This can result in slower settling time, increased overshoot, and potentially even unstable behavior. The system response may exhibit oscillations and may take longer to reach a steady-state.

Changing the poles in a system has a direct impact on its time response. By adjusting the pole locations, it is possible to modify the stability, settling time, overshoot, and oscillatory behavior of the system. Understanding and controlling the pole locations are essential in designing and analyzing dynamic systems.

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a hallow steel tube 3.5m long has external diameter of 120mm. in order to determine the internal diameter the tube was subjected to a tensile load of 400KN and extension was measured to be 2 mm. if the modulus of elasticity for the tube material is 200 GPa. determine the internal diameter of the tube.​

Answers

Answer:

Please check the photo (solve)

a hallow steel tube 3.5m long has external diameter of 120mm. in order to determine the internal diameter

What does the following UML diagram entry mean? + setHeight(h : double) : void Select one: a. public void method with a parameter of data type double b. private method with no parameters that returns a double data type c. private field called setHeight that is a double data type d. Error - UML diagrams do not contain any symbols e. private data field called setHeight that is a double data type

Answers

The procedure is as follows in C++: double base calcPyramidVolume. Length, two bases. Double pyramid, width, Height.

The parameter variable for the following function prototype has a data type of double. Using the C double data type, high-precision floating-point data or integers are saved (up to 15 to 17 digits). There are large decimal number values recorded. In comparison to float data, values data may store twice as much information. As a result, it is referred to as a double data type. The double data type of the C programming language is used to store high-precision floating-point data or integers in computer memory. The double data type is so named because it can hold data that is twice as large as the float data type. Eight bytes, or 64 bits, make up a double.

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If a 180 RPM synchronous motor and gear train rated for 60Hz is run on 50Hz, what speed will the output shaft have?

Answers

For a generic answer: yes you can, IF: you reduce the voltage by 50/60, the equipment doesn't care, you don't care about potentially overheating the motor, the process/load can tolerate the lower speed/torque, etc.

Which of these is a reason an engineer may choose to use a prefabricated
building component?
A. She wants the design to be an original.
B. She wants to use a material that is not standard.
C. She is not concerned with costs.
D. She wants the construction to move quickly.

Answers

The reason an engineer may choose to use a prefabricated  building component is because: D. She wants the construction to move quickly.

A prefabricated  building component is also referred to as prefabs and it can be defined as a component that is fully manufactured to standard in a manufacturing plant or factory and then transported to a construction site, for partial assemblage and usage by an engineer. Some examples of prefabricated  building components are:

FloorPier capsWallsBox beamsComposite parapetsBox piers

Generally, the two (2) main reasons why an engineer may choose to use a prefabricated  building component are:

I. To minimize negative environmental impacts by using standard materials from the manufacturing plant or factory.

II. To make the construction process move quickly.

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(HVAC) PLEASE HELP neeed helpp

(HVAC) PLEASE HELP neeed helpp

Answers

Answer

Sump heater

Explanation

these from (Fundamentals of Multimedia Ze-Nian Li Mark S. Drew Jiangchuan Liu Third Edition FROM CHAPTER10) // please solve all question
1. Describe how H.261 deals with temporal and spatial redundancies in a video.
3. Thinking about my large collection of JPEG images (of my family taken in various locales), I decide to unify them and make them more accessible by
simply combining them into a big H.261-compressed file. My reasoning is that I can simply use a viewer to step through the file, making a cohesive whole out of
my collection. Comment on the utility of this idea, in terms of the compression ratio achievable for the set of images.
6. The logarithmic MV search method is suboptimal, in that it relies on continuity in the residual frame.
(a) Explain why that assumption is necessary, and offer a justification for it.
(b) Give an example where this assumption fails.
(c) Does the hierarchical search method suffer from suboptimality too?
7. A video sequence is to be encoded using H.263 in PB-mode, having a frame size of 4CIF, frame rate of 30 fps, and video length of 90 min. The following is
known about the compression parameters: on average, two I-frames are encoded per second. The video at the required quality has an I-frame average compression
ratio of 10:1, an average P-frame compression ratio twice as good as I-frame, and an average B-frame compression ratio twice as good as P-frame. Assuming the compression parameters include all necessary headers, calculate the encoded video size
9. Discuss how the advanced prediction mode in H.263 achieves better compression.
10. In H.263 motion estimation, the median of the motion vectors from three preceding macroblocks (see Fig. 10.11a) is used as a prediction for the current
macroblock. It can be argued that the median may not necessarily reflect the best prediction. Describe some possible improvements on the current method.
11. H.263+ allows independent forward MVs for B-frames in a PB-frame. Compared to H.263 in PB-mode, what are the trade-offs? What is the point in having PB
joint coding if B-frames have independent motion vectors?

Answers

H.261 uses temporal and spatial redundancy to compress video, while H.263+ allows independent forward MVs for B-frames in PB-mode. This increases average complexity and bandwidth, but can logarithmic compression. Improvements to prediction can also improve compression.

1. H.261 utilizes temporal and spatial redundancies in order to compress video. It manages this by using a motion estimation process that examines differences between successive frames and predicts the motion of objects. It also uses a series of transform and quantization processes to reduce the size of the video while maintaining the necessary visual information.

3. This idea is not very efficient in terms of compression ratio because the H.261 codec would not be able to take advantage of the redundancies between the images. It is more beneficial to use a dedicated image compression codec such as JPEG to compress each image individually.

6a. The logarithmic MV search method utilizes the assumption of continuity in the residual frame because it assumes that the motion between successive frames will be small. This allows for the search for the best match to be more efficient.

6b. An example of when this assumption fails is when there is a large jump in the motion between successive frames.

6c. The hierarchical search method does not suffer from suboptimality. It is more efficient than the logarithmic MV search method because it does not rely on the assumption of continuity in the residual frame.

7. The encoded video size can be calculated by multiplying the average compression ratio by the total number of frames. The total number of frames can be calculated by multiplying the frame rate by the video length. Therefore, the encoded video size is equal to 10 x 30 x 90 x 60 = 162,000,000.

9. Advanced prediction mode in H.263 achieves better compression by utilizing more complex prediction methods. This includes using combinations of motion vectors from previous frames and using multiple motion vector predictors.

10. Possible improvements on the current method may include using a more complex algorithm for selecting the prediction vector, such as finding the one that yields the lowest error. Additionally, incorporating more motion vectors from previous frames into the prediction may improve the accuracy of the prediction.

11. The trade-offs of H.263+ compared to H.263 in PB-mode are increased complexity due to the need to store more motion vectors, and an increase in bandwidth due to the larger size of the encoded bitstream. The point of having PB joint coding is to improve compression by sharing data between the P and B frames, which is not possible if the B-frames have independent motion vectors.

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Develop a MATLAB program that will solve a system of linear equations using Determinants: *Cramer's Rule* for a (3x4) matrix.
DO NOT use the Matrix Solver functions contained in MATLAB.

Answers

Sure! Here's an example MATLAB program that solves a system of linear equations using Cramer's Rule for a 3x4 matrix:

```matlab

% Input the coefficient matrix

A = input('Enter the coefficient matrix A (3x3): ');

% Input the constant matrix

B = input('Enter the constant matrix B (3x1): ');

% Calculate the determinant of the coefficient matrix

det_A = det(A);

% Initialize the solution vector

X = zeros(3, 1);

% Apply Cramer's Rule

for i = 1:3

   % Create a temporary matrix by replacing the i-th column with the constant matrix

   temp_A = A;

   temp_A(:, i) = B;

   

   % Calculate the determinant of the temporary matrix

   det_temp_A = det(temp_A);

   

   % Calculate the solution for the i-th variable

   X(i) = det_temp_A / det_A;

end

% Display the solution

disp('The solution for the system of linear equations:');

disp(X);

```

In this program, the user is prompted to enter the coefficient matrix `A` (3x3) and the constant matrix `B` (3x1). The determinant of matrix `A` is calculated using the `det` function in MATLAB. The program then uses a loop to apply Cramer's Rule by replacing each column of `A` with `B` and calculating the determinants of the resulting matrices. Finally, the solution vector `X` is displayed, representing the values of the variables in the system of linear equations.

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Which of the following is iterative? *

Science
Engineering
Criteria
Infrastructure

Answers

Science do be the answer

Which one of the following answer options are your employers responsibility

Answers

Where are your answer options?

Answer:

Implement a hazard communication program

Explanation: i took the quiz

There are n blocks numbered from 0 to n-1

There are n blocks numbered from 0 to n-1

Answers

Based on the information, the Java implementation of the solution is given.

How to illustrate the information

class Solution {

   public int solution(int[] blocks) {

       int n = blocks.length;

       // Initialize two arrays to store the maximum distances

       int[] leftDist = new int[n];

       int[] rightDist = new int[n];

       // Calculate the maximum distances when moving from left to right

       leftDist[0] = 1; // At least one block is reachable

       for (int i = 1; i < n; i++) {

           if (blocks[i] >= blocks[i - 1]) {

               leftDist[i] = leftDist[i - 1] + 1;

           } else {

               leftDist[i] = 1;

           }

       }

       // Calculate the maximum distances when moving from right to left

       rightDist[n - 1] = 1; // At least one block is reachable

       for (int i = n - 2; i >= 0; i--) {

           if (blocks[i] >= blocks[i + 1]) {

               rightDist[i] = rightDist[i + 1] + 1;

           } else {

               rightDist[i] = 1;

           }

       }

       // Find the maximum distance

       int maxDistance = 0;

       for (int i = 0; i < n; i++) {

           int distance = Math.max(leftDist[i], rightDist[i]);

           maxDistance = Math.max(maxDistance, distance);

       }

       return maxDistance;

   }

}

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Can someone tell me the equation to calculate the maximum load current?

Answers

I =1000 x s [ square root of three x v]

Explanation:

Answer:

To calculate full load current, divide the full load power by the product of the full load voltage times 1.723

Following data refers to the years of service (variable x) put in by seven
specialized workers in a factory and their monthly incomes (variable y). x
variable values with corresponding y variable values can be listed as: 11 years of
service with income 700, 7 years of service with income 500, 9 years of service
with income 300, 5 years of service with income 200, 8 years of service with
income 600, 6 years of service with income 400, 10 years of service with
income 800. Regression equation y on-x is
Select one:
ay=3/4x+1
by=4/3x-1
y=3/4x-1
dy-1-3/4x

Answers

Based on  the data given, the regression equation y on-x is y = 3/4x + 1.

The regression equation that represents the relationship between the years of service (x) and monthly incomes (y) for the specialized workers in the factory can be determined by analyzing the given data points. By examining the data, we can observe that the monthly income increases as the years of service increase. Calculating the regression equation using the given data, we find that the equation that best fits the relationship is:

y = (3/4)x + 100

This equation indicates that for every increase of 1 year in service, the monthly income increases by 3/4 (0.75) units. The constant term of 100 represents the base income level. Therefore, the correct option from the given choices is ay = (3/4)x + 1.

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A(n) join returns not only the rows matching the join condition (that is, rows with matching values in the common columns) but also the rows with unmatched values. Select one: a. outer b. cross c. equi- d. inner Assume you are using the UNION ALL operator to combine the results from two tables with identical structure, CUSTOMER and CUSTOMER_2. The CUSTOMER table contains 10 rows, while the CUSTOMER_2 table contains 7 rows. Customers Dunne and Olowski are included in the CUSTOMER table as well as in the CUSTOMER_2 table. How many records are returned when using the UNION ALL operator? Select one: a. 17 b. 2 c. 15 d. 8 "Union-compatible" means that the _____.
Select one: a. number of attributes in the relations must be the same, but the names and data types can be different b. number of attributes in the relations must be the same, the names of the relation attributes must be the same, but the data types can be different c. number of attributes in the relations must be the same, the names of the relation attributes can be different, but the data types must be alike d. names of the relation attributes must be the same and their data types must be alike

Answers

INSIDE JOIN

When using this join method, the records that have matching values in both tables are returned. All the tuples with matching values in both tables will be output if you perform an INNER join operation between the Employee table and the Projects table.

If the join condition is true, which join will mix rows from many tables?

If the criteria is met, the INNER JOIN keyword selects all rows from both tables. This keyword will combine all rows from both tables where the criterion is met to create the result set.

Which join types are there in the MCQS join condition?

SQL supports a total of four join types. types include left outer join, right outer, and inner join.

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3. Suppose up to 300 cars per hour can travel between any two of the cities 1, 2, 3, and 4. Formulate a maximum flow problem that can be used to determine how many cars can be sent in the next two hours from city 1 to city 4. Give the network diagram and the LP formulation for your model.

Answers

Let $x ij$ represent the quantity of cars that will be delivered in the following two hours from city I to city j.

Create a maximum flow issue?

Network Diagram:

LP Formulation:

Maximize Z = 150x14 + 150x24

Subject to:

x11 + x12 + x13 + x14 <= 300 (flow from city 1 to other cities)

x21 + x22 + x23 + x24 <= 300 (flow from city 2 to other cities)

x31 + x32 + x33 + x34 <= 300 (flow from city 3 to other cities)

x41 + x42 + x43 + x44 <= 300 (flow from city 4 to other cities)

x11 + x21 + x31 + x41 = 150 (flow into city 1)

x12 + x22 + x32 + x42 = 150 (flow into city 2)

x13 + x23 + x33 + x43 = 150 (flow into city 3)

x14 + x24 + x34 + x44 = 150 (flow into city 4)

xij >= 0 (all variables must be positive)

Where xij represents the number of cars traveling from city i to city j in two hours.

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Steam flows steadily through a turbine at a rate of 45,000 lbm/h, entering at 1000 psia and 9008F and leaving at 5 psia as saturated vapor. If the power generated by the turbine is 4 MW, determine the rate of heat loss from the steam.

Answers

182.28 Btu/s (all done)

What are minerals made of?
NO LINKS PLEASE
A. Different substances
B. Liquid substances
C. Two or more substances
D. The same substance throughout

Answers

Answer:

the answer I know is A. different substances. hope this helps :).

Explanation:

just always study hard and God bless.

Provide five strategies to stimulate brainstorming. (according to PLTW)

Answers

Answer:

Doing associative brainstorming

Allow all members who have an opinion or comment to contribute

You cannot criticize someone or there judgment on a topic

Always encourage someone if they need help with something and give input

Let everyone talk and share there solutions

Explanation:

Overall it’s good to do the things I have listed above because it can help you in planning.

Answer:

We often call these prewriting strategies “brainstorming techniques.” Five useful strategies are listing, clustering, freewriting, looping, and asking the six journalists' questions. These strategies help you with both your invention and organization of ideas, and they can aid you in developing topics for your writing.

which best describes machine language? select one. question 1 options: machine language is the most used language today. machine language instructions comprise only 1s and 0s of binary code. machine language is considered the easiest language to write. machine language relies heavily on go to statements question 2 (1 point) saved listen readspeaker webreader: listen which is a type of high level programming? select one.

Answers

The best way to describe machine language is that its instructions are made up entirely of binary 1s and 0s.Python, JavaScript, Visual Basic, Delphi, Perl, PHP, ECMAScript, Ruby, C#, Java, and many other high-level programming languages are examples of ones that are currently in use.

What is Machine language?

Machine language, also known as machine code or object code, is a set of binary digits or bits that the computer reads and decodes. The only language that a computer can comprehend is machine language.

The fundamental language of computers is machine code, which is also referred to as machine language. It is made of digital binary integers, is read by the central processing unit (CPU) of the computer, and appears to be a very lengthy string of zeros and ones.

Machine language is a type of low-level programming language that can only be understood by machines and is composed of binary integers or bits. The CPU immediately executes the instructions, often known as machine code or object code. 

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I want to know if anyone else know how to tell apart real leather from fake leather?!?!

Answers

Answer:

yes i do.

Explanation:

it's pretty easy in my opinion but i dont know about you why do you ask?

At a eutectic point on a binary temperature-composition phase diagram, how many phases are present when the system is at equilibrium?.

Answers

A binary temperature-composition phase diagram illustrates the relationship between temperature, the concentration of each component in a binary mixture, and the phase boundaries of the mixture.

At a eutectic point, two solid phases and a liquid phase are in equilibrium. In other words, three phases are present when the system is at equilibrium. Let's go into more detail about what a eutectic point is and why it's important on a phase diagram.A eutectic point is the lowest temperature at which a eutectic mixture melts. A eutectic mixture is a combination of two or more components that, when melted, results in a homogeneous liquid that solidifies into two or more solid phases.

In the case of a binary mixture, a eutectic mixture contains two components in specific proportions that produce a eutectic reaction.The eutectic point on a binary temperature-composition phase diagram is located at the intersection of the two solidus curves (which represent the temperatures at which solidification of one component occurs) and the liquidus curve (which represents the temperature at which melting of the solid occurs). At the eutectic point, the proportions of the two components are such that the solid phases are in equilibrium with the liquid phase, resulting in the formation of two solid phases and a liquid phase.

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In cold climates, water pipes may freeze and burst if proper precautions are not taken. In such an occurrence, the exposed part of a pipe on the ground ruptures, and water shoots up to 42 m. Estimate the gage pressure of water in the pipe. State your assumptions and discuss if the actual pres- sure is more or less than the value you predicted.

Answers

Answer:

411.953 kpa

Explanation:

We have the following assumptions

1. Steady incompressible flow.

2. Burst section water pressure = water main pressure

3. Air and water have negligible friction between them.

Max height = 42 m

Max water density = 277.14k

Density of water

Pwater = 999.8395kg/m

Water gets to 42m because of pressure in the line

P (line) = Pwater * g * h

= 999.8395 x 9.81 x 42

= 411.953Kpa

Design a circuit that will tell whether a given month has 31 days in it. The month is specified by a 4-bit input, A3:0. For example, if the inputs are 0001, the month is January, and if the inputs are 1100, the month is December. The circuit output, Y, should be HIGH only when the month specified by the inputs has 31 days in it. However, if the input is not a valid month (such as 0 or 13) then the output is don’t care (can be either 0 or 1).

Answers

Answer:

  see attachments

Explanation:

A Karnaugh map for the output is shown in the first attachment. The labeled and shaded squares represent the cases where Y = HIGH. The associated logic can be simplified to

  Y = A3 xor A0

when the don't care at 1110 gives an output of HIGH.

__

The second attachment shows a logic diagram using a 4:1 multiplexer to do the decoding. A simple XOR gate would serve as well. If AND-OR-INV logic is required, that would be ...

  Y = Or(And(A3, Inv(A0)), And(A0, Inv(A3)))

Design a circuit that will tell whether a given month has 31 days in it. The month is specified by a
Design a circuit that will tell whether a given month has 31 days in it. The month is specified by a

Describe pressure and Density altitude. Q2: Describe the effect of pressure, humidity, and temperature on air density. Q3: List primary factors most affected by the performance of aircraft. Q4: How do drones fly?

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Pressure altitude is the vertical distance above the standard datum plane, whereas Density altitude is the height in the International Standard Atmosphere at which the air density is equal to the actual air density at the place of observation.

Pressure Altitude Pressure Altitude is a term used to describe the altitude of an aircraft above a given datum plane. It is measured by an altimeter that has been calibrated to read pressure rather than altitude. This is because pressure is directly proportional to the altitude, and so changes in pressure can be used to determine changes in altitude. Density Altitude Density Altitude is the altitude in the International Standard Atmosphere (ISA) at which the air density is equal to the actual air density at the place of observation.

It is affected by the air temperature, atmospheric pressure, and humidity, and is usually higher than the pressure altitude.Q2: The effect of pressure, humidity, and temperature on air density is described below:Air Pressure: When air pressure increases, air density also increases.Humidity: Humidity decreases air density because water molecules are lighter than air molecules and displace some of the air molecules in a given space.Temperature: When air temperature increases, air density decreases. Conversely, when air temperature decreases, air density increases.Q3: The primary factors that affect the performance of an aircraft are the following:Thrust: The forward force that propels the aircraft forward. Weight: The downward force exerted on the aircraft due to gravity.

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Can someone help me plz!!

Can someone help me plz!!

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It has to do with mechanical engineering

Your grandfather clock's pendulum has a length of 0.9930 m. If the clock gains 21 seconds per day, should you increase or decrease the length of the pendulum? by how much? mm.

Answers

To determine whether you should increase or decrease the length of the pendulum of your grandfather clock, you need to understand the relationship between pendulum length and time period.

The time period of a pendulum is the time it takes for one complete oscillation (back and forth). It can be calculated using the formula:

T = 2π√(L/g)

Where:

T is the time period,

L is the length of the pendulum, and

g is the acceleration due to gravity.

If the clock gains 21 seconds per day, it means that the time period is longer than the desired value. To decrease the time period, you need to decrease the pendulum length.

To find out by how much you should change the pendulum length, you can use the following steps:

Calculate the current time period (T) using the given length (L = 0.9930 m) and the known acceleration due to gravity (g = 9.8 m/s^2).

Determine the desired time period based on the clock's accuracy (24 hours = 86400 seconds).

Find the difference between the current time period and the desired time period.

Adjust the pendulum length in the appropriate direction (decrease in this case) to reduce the time period difference.

Convert the difference in length to millimeters (mm) for precision.

By performing these calculations, you can determine the specific amount by which you should decrease the pendulum length in millimeters.

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the total and static pressure at the inlet of a steam nozzle are 186 kpa and 178 kpa, respectively. if the total pressure at the exit is 180 kpa and static pressure is 100 kpa, then the loss of energy per unit mass in the nozzle will be

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The loss of energy per unit mass in the nozzle is 1.14 kJ/kg (negative sign indicates a decrease in energy).

We can use Bernoulli's equation to calculate the loss of energy per unit mass in the nozzle: Total pressure at the inlet = Static pressure at the inlet + Dynamic pressure at the inlet

186 kPa = 178 kPa + 0.5ρV^2, where ρ is the density of steam and V is the velocity of steam at the inlet.

Since the steam nozzle is convergent, we can assume that the velocity at the exit is sonic (i.e., the Mach number is 1):

Velocity at exit = Velocity at throat / Sonic velocity = √(2 * Cp * ΔT) / √(Cp * T1) = √(2 * 1860 * 850) / √(1600 * 452) = 539 m/s

Total pressure at exit = Static pressure at exit + Dynamic pressure at exit

180 kPa = 100 kPa + 0.5ρV^2, where V is the velocity of steam at the exit.

Using the above equations, we can calculate the density of steam at the inlet:

0.5ρV^2 = 186 kPa - 178 kPa = 8 kPa

ρ = 8 / (0.5 * V^2) = 8 / (0.5 * (539)^2) = 0.0297 kg/m^3

Now, we can calculate the loss of energy per unit mass in the nozzle:

Loss of energy per unit mass = (Total enthalpy at the inlet - Total enthalpy at exit)

Total enthalpy at inlet = h1 = Cp * T1 = 452 * 1.872 = 847.94 kJ/kg (assuming Cp = 1.872 kJ/kg-K for steam)

Total enthalpy at exit = h2 = Cp * T2 + 0.5V2^2 = 849.08 kJ/kg (assuming T2 = T1, since the nozzle is adiabatic)

Loss of energy per unit mass = (h1 - h2) = 847.94 - 849.08 = -1.14 kJ/kg

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