Air at standard conditions flows steadily at low speed through a horizontal nozzle, discharging to atmosphere, where the pressure is Patm, meaning P2 = Patm. Inlet and exit areas of the nozzle are A1 = 0.10 m2 and A2 = 0.02 m2 , respectively.
Calculate the pressure required at the nozzle inlet, meaning P1, to yield an exit speed of 50 m/s.

Answers

Answer 1

Using  Bernoulli equation we can say that the pressure required at the nozzle inlet, meaning P1, to yield an exit speed of 50 m/s is 1.48 kPa.

How do we calculate the pressure required at the nozzle inlet using Bernoulli equation?

equations that control:

[tex]\frac{p_{1}}{\rho}+\frac{V_{1}^{2}}{2}+g z_{1}=\frac{p_{2}}{\rho}+\frac{V_{2}^{2}}{2}+g z_{2}[/tex]

Continuity for incompressible and uniform flow:

[tex]\sum_{\mathrm{CS}} \vec{V} \cdot \vec{A}=0[/tex]

We know that  

1)   Steady flow.

(2) Incompressible flow.

(3) Frictionless flow.

(4) Flow along a streamline.

(5)[tex]z_{1}=z_{2}[/tex]

(6) Uniform flow at sections (1) and (2).

The maximum speed of 50 m/s is well below 100 m/s, which corresponds to Mach number M≈0.3 in standard air. Hence, the flow may be treated as incompressible.

Apply the Bernoulli equation along a streamline between points (1) and (2) to evaluate [tex]p_{1}[/tex]

p1 − patm = p1 − p2 = ρ/2  (V2^2 −V1^2)

-ρV₁A₁ + ρV₂A₂ = 0 or V₁A₁ =  V₂A₂

V₁ = V₂A₂/A₁ = 50 x 0.02/0.10 = 10 m/s

Since air at standard condition , ρ = 1.23 kg/m³

p1 − patm = ρ/2. (V₂²^2−V₁^²)

= 1/2 × 1.23 x (50² −10²)

= 1.48kPa

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a byte-addressable main memory of size 256mb with blocks of 32 bytes in size. the cache memory can hold up to 64 blocks

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The main memory can hold a total of (256 * 1024 * 1024) / 32 = 8,388,608 blocks.

What are main and cache memory?

he main memory in this system has a size of 256 megabytes, which is equal to 256 * 1024 * 1024 bytes. With blocks of 32 bytes in size, this means that the main memory can hold a total of (256 * 1024 * 1024) / 32 = 8,388,608 blocks.

The cache memory, on the other hand, can hold up to 64 blocks. This means that it can store a small fraction of the data that is stored in the main memory. In order to access data that is not stored in the cache, the system must fetch it from the main memory, which takes longer than accessing data directly from the cache.

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using the data below, what is the value of the mean absolute percent error (mape)? week time series value forecast 1 17 18.00 2 25 20.00 3 14 15.00 4 23 14.00

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The value of the mean absolute percent error (mape)

What is mean?

Mean is an average value calculated by adding a set of numbers and then dividing by the number of items in the set. It is a measure of central tendency in a set of data and is often used to describe the overall trend or pattern in the data. Mean can also be used to compare sets of data and is often used to compare the performance of different groups of people or businesses.

The mean absolute percent error (MAPE) is a measure of the accuracy of a forecast. It is calculated by taking the mean of the absolute percent errors (the difference between the forecast and the actual value), divided by the mean of the actual values.

For the given data, the MAPE is calculated as follows:

MAPE = (|18.00 - 17| + |20.00 - 25| + |15.00 - 14| + |14.00 - 23|)/(17 + 25 + 14 + 23) = 0.30

Therefore, the mean absolute percent error (MAPE) for the given data is 0.30.

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evaluate the organizational tools and scrum-agile principles that helped your team be successful. be sure to reference the scrum events in relation to the effectiveness of the tools.

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By utilizing the scrum events, such as sprint planning, daily standups, sprint review, and sprint retrospective, we were able to ensure that all tasks were completed in a timely manner.

What is sprint planning ?
The sprint planning meeting allowed us to plan our sprints in detail, such as setting sprint goals, assigning tasks, and organizing our backlog. The daily standups provided a forum for us to communicate our progress and any issues. Through the sprint review, we had a platform to demonstrate our completed work and receive feedback from stakeholders. The sprint retrospective allowed us to assess our performance and identify areas of improvement. Overall, the use of these scrum-agile principles and organizational tools enabled us to be successful in our project by helping us stay organized, on-schedule, and focused on our goal.

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By utilizing the scrum events, such as sprint planning, daily standups, sprint review, and sprint retrospective, we were able to ensure that all tasks were completed in a timely manner.

What is sprint planning?

The sprint planning meeting allowed us to plan our sprints in detail, such as setting sprint goals, assigning tasks, and organizing our backlog. The daily standups provided a forum for us to communicate our progress and any issues.

Through the sprint review, we had a platform to demonstrate our completed work and receive feedback from stakeholders. The sprint retrospective allowed us to assess our performance and identify areas of improvement.

Overall, the use of these scrum-agile principles and organizational tools enabled us to be successful in our project by helping us stay organized, on-schedule, and focused on our goal.

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In lab 2, assignment 2, you implemented a smoothing system using convolution with a box of length N and height 1/N: h1n=(un-un-N)/N. Find the coefficients {a, b} of the linear constant coefficient difference equation (LCCDE) describing this system for N=10. Find the coefficients for the system h1n=0.8nun

Answers

The smoothing system using convolution with a box of length N and height 1/N can be described by the following equation:

h1n=(un-un-N)/N

Step-by-step explanation:

To find the coefficients {a, b} of the linear constant coefficient difference equation (LCCDE) for this system, we can rewrite the equation as follows:

h1n = un/N - un-N/N

If we let a = 1/N and b = -1/N, we can express this equation as an LCCDE:

a * un + b * un-N = h1n

For N=10, the coefficients {a, b} are:

a = 1/10 = 0.1

b = -1/10 = -0.1

The coefficients for the system h1n=0.8nun can be found in a similar manner. If we let a = 0.8 and b = 0, we can express this equation as an LCCDE:

a * un + b * un-N = h1n

The coefficients for this system are:

a = 0.8

b = 0

Note that the LCCDE for the smoothing system using convolution with a box of length N and height 1/N is a first-order difference equation, as it depends on the current and previous values of the input signal (un and un-N). The LCCDE for the system h1n=0.8nun is also a first-order difference equation, as it depends only on the current value of the input signal (un).

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an example of architecture with similar features to the persian fire temple pavilion featured in lecture was this early islamic tomb. tomb of ahmed

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Tomb of ahmed is an example of architecture with similar features to the persian fire temple pavilion featured in lecture was this early islamic tomb.

Some information about Ahmad's Tomb:

Ahmad Shah's tomb, also known as Raja no Hajiro and Badshah no Hajiro (King's Mausoleum), is a collection of tombs built during the Medieval period in Ahmedabad. He is widely regarded as the founder of Ahmedabad, Gujarat. The exquisite artwork and architectural extravagance set the tomb apart from other tourist attractions and establishes it as a gold standard in Indian architecture.

Expectations when visiting Ahmad Shah's Tomb:

1. Ahmad Shah's tomb is one of Ahmedabad's most important tourist attractions.

2. The tomb is square in shape and has stone windows with lattice work. Women, on the other hand, are still not permitted in the central chamber of Ahmad Shah's Tomb.

3. Across the street is the Rani no Hajira, which houses the tombs of Ahmad Shah's queens. The tomb is in excellent condition, but the tombs of the queens have deteriorated.

4. Ahmad Shah's tomb is one of Ahmedabad's architectural wonders.

5. The artistic craftsmanship, latticed windows, and domes and minarets give the Tombs of Ahmad Shah an exquisite appearance. This tomb in Ahmedabad is a must-see for anyone interested in Mughal art and culture.

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Consider the following method. public static void addOneToEverything(int[] numbers) { for (int j = 0; j < numbers.length; j++) { numbers[j]++; } } Which of the following code segments, if any, can be used to replace the body of the method so that numbers will contain the same values? I. for (int num : numbers) { num++; } II. for (int num : numbers) { num[j]++; } III. for (int num : numbers) { numbers[num]++; } A I only B I and III only C II and III only D I, II, and III E None of the code segments will return an equivalent result. E None of the code segments will return an equivalent result

Answers

The code segments, if any, can be used to replace the body of the method so that numbers will contain the same values is E None of the code segments will return an equivalent result

What is an array?

Using an entire set of values at once is possible with array programming, a technique used in computer science. These answers are frequently applied in scientific and engineering contexts. A data structure called an array consists of a set of elements (values or variables), each of which is identified by an array index or key.

Depending on the language, other data types that describe aggregates of values, like lists and strings, may overlap (or be identified with) array types. An array is a grouping of identically-typed elements that are stored in consecutive memory locations and can each be individually referred to using an index to a special identifier.

Based on the information, it should be noted that none of the code will return the same result as all the codes does not assign correct values to array.

Therefore, based on the information, the correct option is E.

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