A balanced 3-phase line has an impedance of 0.5 j4 Ohms/phase. The line feeds two parallel balanced 3-phase loads. The first load absorbs a total of 691.2 kW and -201.6 kVAR. The second load is delta-connected and has an impedance of 622.08 j181.44 Ohms/phase. The line-to-neutral voltage at the load is 7200 Vrms. Find the magnitude of the line voltage at the source end of the transmission line.

Answers

Answer 1

To find the magnitude of the line voltage at the source end of the transmission line, we need to calculate the total apparent power consumed by both loads.

The apparent power is given by the formula: S = √(P^2 + Q^2), where P is the real power (in watts) and Q is the reactive power (in VAR).

For the first load, the apparent power is S1 = √(691.2^2 + (-201.6)^2) = 727.27 kVA.

For the second load, the apparent power is S2 = √(622.08^2 + 181.44^2) = 656.21 kVA.

Since the two loads are connected in parallel, the total apparent power is the sum of S1 and S2: Stotal = S1 + S2 = 727.27 + 656.21 = 1383.48 kVA.

The line-to-neutral voltage at the load is 7200 Vrms. For a balanced 3-phase system, the line-to-line voltage is √3 times the line-to-neutral voltage. Therefore, the line-to-line voltage at the load is 7200 √3 Vrms.

Assuming the transmission line has negligible impedance, the line-to-line voltage at the source end will be the same as at the load end. Thus, the magnitude of the line voltage at the source end is also 7200 √3 Vrms.

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Related Questions

Find the total present worth of a series of cash flows with an annual interest rate of 2% per year. Round your answer to the nearest cent.



Initial benefit of 5,330 at year 0

Benefit of 13,075 at year 3

Salvage value of 2,308 at year 4

Answers

The total present worth is $19,783.01

The present worth of a series of cash flow is the value of the cash flows in year 0 (today)

Cash flow in year 0 = 5330

Cash flow in year 1 = 0

Cash flow in year 2 = 0

Cash flow in year 3 = 13075 / (1.02)^3 = 12,320.86

Cash flow in year 4 = 2308 / (1.02)^4 = 2,132.24

Present worth = $19,783.01

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A spherical tank for storing gas under pressure is 25 m in diameter and is made of steel 15 mm thick. The yield point of the material is 240 MPa. A factor of safety of 2.5 is desired. The maximum permissible internal pressure is most nearly: 90 kPa 230 kPa 430 kPa D. 570 kPa csauteol psotolem here Pcr 8. A structural steel tube with a 203 mm x 203 mm square cross section has an average wall thickness of 6.35 mm. The tube resists a torque of 8 N m. The average shear flow is most nearly
A. 100 N/m
B. 200 N/m
C. 400 N/m
D. 800 N/m

Answers

Answer:

1) 2304 kPa

2) B. 200 N/m

Explanation:

The internal pressure of the of the tank  can be found from the following relations;

Resisting wall force F = p×(1/4·π·D²)

σ×A = p×(1/4·π·D²)

Where:

σ = Allowable stress of the tank

A = Area of the wall of the tank = π·D·t

t = Thickness of the tank = 15 mm. = 0.015 m

D = Diameter of the tank = 25 m

p = Maximum permissible internal pressure pressure

∴ σ×π·D·t = p×(1/4·π·D²)

p = 4×σ×t/D = 4 × 240 ×0.015/2.5 = 5.76 MPa

With a desired safety factor of 2.5, the permissible internal pressure = 5.76/2.5 = 2.304 MPa

2) The formula for average shear flow is given as follows;

\(q = \dfrac{T}{2 \times A_m}\)

Where:

q = Average shear flow

T = Torque = 8 N·m

\(A_m\) = Average area enclosed within tube

t = Thickness of tube = 6.35 mm = 0.00635 m

Side length of the square cross sectioned tube, s = 203 mm = 0.203 m

Average area enclosed within tube, \(A_m\) = (s - t)² = (0.203 - 0.00635)² = 0.039 m²

\(\therefore q = \dfrac{8}{2 \times 0.039} = 206.9 \, N/m\)

Hence the average shear flow is most nearly 200 N/m.

Following are the solution to the given question:

Calculating the allowable stress:

\(\to \sigma_{allow} = \frac{\sigma_y}{FS} \\\\\)

              \(= \frac{240}{2.5} \\\\= 96\\\\\)

Calculating the Thickness:

\(\to t =15\ mm = \frac{15\ }{1000}= 0.015\ m\\\\\)

The stress in a spherical tank is defined as

\(\to \sigma = \frac{pD}{4t}\\\\\to 96 = \frac{p(25)}{4(0.015)}\\\\\to p = 0.2304\;\;MPa\\\\\to p = 230.4\;\;kPa\\\\\to p \approx 230\;\;kPa\\\\\)

\(\bold{\to A= 203^2= 41209\ mm^2} \\\\\)

Calculating the shear flow:

\(\to q=\frac{T}{2A}\)

      \(=\frac{8}{2 \times 41209 \times 10^{-6}}\\\\=\frac{8}{0.082418}\\\\=97.066\\\\\)

\(\to q=97 \approx 100 \ \frac{N}{m}\\\)

Therefore, the final answer is "".

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Kimber has been tasked with assembling her department's latest updates into a single document. as she combines multiple documents, what's an important word processing skill to know that ensures the end result is organized and easy to use? question 7 options: footnoting animation bookmarking pagination

Answers

When it comes to combining multiple documents, an important word processing skill to know that ensures the final result is organized and easy to use is pagination.

Pagination is a page numbering technique that is done sequentially. These page numbers are usually located at the top or bottom of the web page. In most cases, it is used for main pages and partitions in corporate websites. This kind of design can generally make the user experience simpler on the site. They can also feel more comfortable when it comes to distributing and navigating products within the website.

For example, like this, imagine an e-commerce site that consists of hundreds of product catalogs from various categories. Of course, these products will not be found easily if only placed on one page. As a solution, UI developers and designers can take advantage of pagination to make product placement more structured.

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A shaft of a circular cross section is supported by two housings at B and C. The shaft
is subjected to static loads: concentrated force N applied by gear D and an applied torque T. The yielding strength of the shaft is Sy, and the diameter of the shaft is d. For circular cross sections, | = nd*/64, J = md*/32. The length of the shaft is L. Transverse shear stress is ignored here.

1) Draw the bending moment diagram of the shaft. Specify the location of the weakest (most dangerous) cross section A on bending moment diagram.

2) Draw the weakest point(s) on cross section A.

3) Determine the von-Mises stress at the weakest point(s).

4) Determine the factor of safety n based on Distortion Energy Theory.

A shaft of a circular cross section is supported by two housings at B and C. The shaftis subjected to

Answers

Answer:

1) The bending moment diagram of the shaft is shown in Figure 1. The weakest cross section A is located at the point where the bending moment is maximum.

2) The weakest point on cross section A is located at the point where the bending moment is maximum.

3) The von-Mises stress at the weakest point is given by:

σ = M/I

where M is the bending moment and I is the moment of inertia of the cross section.

4) The factor of safety n is given by:

n = Sy/σ

where Sy is the yield strength of the shaft and σ is the von-Mises stress at the weakest point.

Explanation:

Hope this helps!

A large tank is filled to capacity with 500 gallons of pure water. Brine containing 2 pounds of salt per gallon is pumped into the tank at a rate of 5 gal/minute. The well mixed solution is then pumped out at a rate of 10 gal/minute. Find the number A(t) of pounds of salt in the tank at time t. When is the tank empty?

Answers

Answer:

A) A(t) = 10(100 - t) + c(100 - t)²

B) Tank will be empty after 100 minutes.

Explanation:

A) The differential equation of this problem is;

dA/dt = R_in - R_out

Where;

R_in is the rate at which salt enters

R_out is the rate at which salt exits

R_in = (concentration of salt in inflow) × (input rate of brine)

We are given;

Concentration of salt in inflow = 2 lb/gal

Input rate of brine = 5 gal/min

Thus;

R_in = 2 × 5 = 10 lb/min

Due to the fact that the solution is pumped out at a faster rate, thus it is reducing at the rate of (5 - 10)gal/min = -5 gal/min

So, after t minutes, there will be (500 - 5t) gallons in the tank

Therefore;

R_out = (concentration of salt in outflow) × (output rate of brine)

R_out = [A(t)/(500 - 5t)]lb/gal × 10 gal/min

R_out = 10A(t)/(500 - 5t) lb/min

So, we substitute the values of R_in and R_out into the Differential equation to get;

dA/dt = 10 - 10A(t)/(500 - 5t)

This simplifies to;

dA/dt = 10 - 2A(t)/(100 - t)

Rearranging, we have;

dA/dt + 2A(t)/(100 - t) = 10

This is a linear differential equation in standard form.

Thus, the integrating factor is;

e^(∫2/(100 - t)) = e^(In(100 - t)^(-2)) = 1/(100 - t)²

Now, let's multiply the differential equation by the integrating factor 1/(100 - t)².

We have;

So, we ;

(1/(100 - t)²)(dA/dt) + 2A(t)/(100 - t)³ = 10/(100 - t)²

Integrating this, we now have;

A(t)/(100 - t)² = ∫10/(100 - t)²

This gives;

A(t)/(100 - t)² = (10/(100 - t)) + c

Multiplying through by (100 - t)²,we have;

A(t) = 10(100 - t) + c(100 - t)²

B) At initial condition, A(0) = 0.

So,0 = 10(100 - 0) + c(100 - 0)²

1000 + 10000c = 0

10000c = -1000

c = -1000/10000

c = -0.1

Thus;

A(t) = 10(100 - t) + -0.1(100 - t)²

A(t) = 1000 - 10t - 0.1(10000 - 200t + t²)

A(t) = 1000 - 10t - 1000 + 20t - 0.1t²

A(t) = 10t - 0.1t²

Tank will be empty when A(t) = 0

So, 0 = 10t - 0.1t²

0.1t² = 10t

Divide both sides by 0.1t to give;

t = 10/0.1

t = 100 minutes

Which of the following statements about net neutrality is not true?A) The FCC now regulates ISP pricing.B) The FCC ruled that Internet broadband service providers should be viewed as public utilities similar to telephone companies.C) The FCC overruled state laws that made it difficult for cities to operate their own broadband networks.D) ISPs can no longer discriminate against users on the basis of protocol or amount of usage.

Answers

The correct answer is A) The FCC now regulates ISP pricing. This statement is not true. The FCC has not regulated ISP pricing under net neutrality rules.

The explanation is that net neutrality refers to the principle that all internet traffic should be treated equally, without discrimination or preferential treatment. The FCC ruled that Internet broadband service providers should be viewed as public utilities similar to telephone companies, which means they are subject to regulations to ensure equal access to all users.


Net neutrality is focused on ensuring equal treatment of data and preventing ISPs from discriminating against users based on factors like protocol or amount of usage.

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Hey guys can anyone list chemical engineering advancement that has been discovered within the past 20 years

Answers

Top 10 Emerging Technologies in Chemistry
Nanopesticides. The world population keeps growing. ...
Enantio selective organocatalysis. ...
Solid-state batteries. ...
Flow Chemistry. ...
Porous material for Water Harvesting. ...
Directed evolution of selective enzymes. ...
From plastics to monomers. ...

Which of following are coding languages used in controlling a robot? *
A. Scratch
B. B/B--
C. C/C++
D. Robot Z

Answers

Answer:

C/C++

Explanation:

C/C++

problem 07.062.b - magnitude of the counterweight so the maximum absolute value of the bending moment is the smallest consider the more general case when the distributed load may either be applied or removed. determine the magnitude of the counterweight for which the maximum absolute value of the bending moment in the beam is as small as possible.

Answers

To determine the magnitude of the counterweight for which the maximum absolute value of the bending moment in the beam is as small as possible, you need to consider the distribution of the load and the effect of the counterweight on the beam.

In the more general case, when the distributed load may either be applied or removed, the counterweight should be placed such that it balances the load and minimizes the bending moment. The magnitude of the counterweight should be chosen so that the sum of the moments caused by the distributed load and the counterweight is as close to zero as possible. By carefully selecting the magnitude of the counterweight, you can minimize the maximum absolute value of the bending moment in the beam, resulting in a more stable and efficient structure.

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A ___________ is defined as a change in shape of the part between the damaged and undamaged area hat is smooth and continuous . When the part is straightened, it is returned to proper shape and state without any areas of permanent deformation.

Answers

A bend is defined as a change in the shape of the part between the damaged and undamaged area that is smooth and continuous.

What is a kink?

A kink can be defined as a sharp bend with a small radius over a short distance.

So when any part is kinked it must be replaced without any doubt. A part is kinked if it just doesn't work on the repair.

What is a bend?

Unlike a kink, a bend can be restored. That is after a bend also  a part can be bought back to its original position.

When the part is straightened, it is returned to proper shape and state without any areas of permanent deformation.

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b) Discuss the recent trends in Production and operations management.​

Answers

Explanation Operations management is an area of management concerned with designing and controlling the process of production and redesigning business operations in the production of goods or services.[1] It involves the responsibility of ensuring that business operations are efficient in terms of using as few resources as needed and effective in meeting customer requirements.

What are some of the ways you can use organization to improve productivity? organize by separating tasks instead of grouping. organize your brain, your workspace, your time. organize by multi-tasking. organize by spreading important items and tools out.

Answers

The key to using organization to improve productivity is to establish clear systems, prioritize tasks, and create an environment that supports efficient work processes.

How can organization be utilized to enhance productivity?

One way to use organization to improve productivity is by separating tasks instead of grouping them.

By breaking down your workload into smaller, manageable tasks, you can prioritize and focus on one task at a time, leading to increased efficiency and productivity.

This approach helps prevent overwhelm and allows you to allocate your time and energy effectively.

Another way is to organize your brain, workspace, and time. This involves maintaining a clear and organized mindset, decluttering and arranging your physical workspace for easy access to resources and tools, and managing your time efficiently.

By creating a structured and organized environment, you can reduce distractions, streamline your workflow, and optimize your productivity.

However, it's important to note that organizing by multi-tasking may not always be the most effective approach.

Research suggests that multi-tasking can actually decrease productivity and lead to errors and distractions. Instead, focusing on one task at a time and giving it your full attention can yield better results.

Lastly, spreading important items and tools out can also improve productivity.

By strategically placing frequently used items within reach and organizing them in a logical manner, you can minimize time spent searching for things and enhance your workflow.

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For a 20-ampere 120-volt branch circuit, the maximum loading permitted is ___ va.

Answers

2,400 volt-amperes (20 x 120 = 2,400) can be carried by a 20-ampere, 120-volt branch circuit. A 20-amp branch circuit can support a maximum of three devices (2,400 x 750 = 3.2 = 3).

Each outlet for a heavy-duty lamp holder must be estimated at a minimum of 600 volt-amperes in line with Section 220.14(E). Multiply 600 volt-amperes by 125 percent because the load is continuous (600 x 125 percent Equals 750 volt-amperes). 2,400 volt-amperes (20 x 120 = 2,400) can be carried by a 20-ampere, 120-volt branch circuit. A 20-amp branch circuit can support a maximum of three devices (2,400 x 750 = 3.2 = 3). For 16 outlets with heavy-duty lamp holders, six 20-ampere branch circuits are needed.

An inaccurate result can be obtained by first determining the total volt-amperes of all the heavy-duty lamp holders and then dividing that number by the number of volt-amperes in each 20-ampere branch circuit. For instance, 16, multiplied by 600 volt-amperes, is 9,600 volt-amperes (16, multiplied by 600 = 9,600 volt-amperes). Due to the continuous nature of the load, multiply 9,600 volt-amperes by 125 percent (12,000 volt-amperes from 9,600 volt-amperes).

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What is the most rigid Mx major connector?

Answers

The most rigid maxillary (Mx) major connector is the Palatal Strap. It provides excellent rigidity due to its broad and flat design, which helps distribute forces evenly across the palate. This connector is often used in removable partial dentures to ensure stability and support for the prosthesis.

When it comes to a maxillary major connector in a removable partial denture, there are several materials and designs to choose from, each with their own advantages and disadvantages. However, the most rigid major connector would likely be a cast metal major connector made from a high-strength alloy such as cobalt-chromium.

Cobalt-chromium alloys are known for their excellent mechanical properties, including high strength and hardness, as well as resistance to corrosion and fatigue. They are also biocompatible and can be cast into complex shapes, making them ideal for use in dental restorations.

A cast metal major connector can be designed in a variety of ways to maximize rigidity, including using a broad, thick design or incorporating additional strengthening elements such as ribbing or mesh.

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*sapnap teaching you how to drive*
"Skeppy and Badboyhalo are crossing the street, what do you hit?"
"Skeppy, I would never hurt Bad."
"whA- THE BRAKES YOU HIT THE BREAKS!!"
*Dream wheezing from the back*

Answers

Answer:

yes dream

Explanation:

Answer:

Me: "i would just hit you, sapnap. In the freaking face" LOL

As a technician, you have a work order to set up a WiFi access point for a residential customer. As part of the survey, you need to determine if a laptop will connect to the farthest part of the house. Calculate the received power of the WiFi signal at the garage if the router is located 80 feet away from the garage. The router is a TP-Link Archer AX3000 and it transmits 30dBm in the 2.4 GHz band. The laptop at the other end has a receiver sensitivity of -67 dBm. Consider if the laptop will be able to operate over the WiFi link at the given distance.

Answers

The received power of the WiFi signal at the garage is **-7 dBm**.

To calculate the received power, we need to consider the path loss between the router and the garage. Path loss depends on the distance and the transmission power. Given that the router is transmitting at 30 dBm and the distance is 80 feet, we can use the Friis transmission equation:

Received Power (in dBm) = Transmit Power (in dBm) + 20 * log10(frequency) - 20 * log10(distance) - Path Loss

Assuming the 2.4 GHz band, the calculation becomes:

Received Power (in dBm) = 30 dBm + 20 * log10(2.4 GHz) - 20 * log10(80 feet) - Path Loss

Now, to determine if the laptop can operate over the WiFi link at the given distance, we compare the received power (-7 dBm) with the receiver sensitivity (-67 dBm). Since the received power is higher than the receiver sensitivity, the laptop should be able to connect and operate over the WiFi link at the given distance.

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When inspecting tires, what should you look for?

Answers

Answer: Tire pressure tire tread and sidewalls.

Explanation:

Answer:

Tire pressure tire tread and the sidewalls

your company has an office in boston and is worried that its employees may not reach the office during periods of heavy snowfall. you have been asked to select a technology that would allow employees to work remotely from their homes during poor weather conditions. which of the following should you select?

Answers

Given that your company has an office in Boston and is concerned about its employees' ability to reach the office during periods of heavy snowfall, the technology that you should choose to enable employees to work remotely from their homes during poor weather conditions is VPN (Virtual Private Network).

Here's why: VPNs provide a secure connection that employees can use to access their company's network and applications from anywhere with an internet connection, such as their homes. As a result, VPNs are the most convenient technology for remote working. When you use a VPN to connect to your company's network, you're essentially "tunneling" your traffic through an encrypted connection that connects your computer or device to your company's network, allowing you to access files, applications, and other resources that you'd otherwise only be able to access from the office. In summary, a Virtual Private Network (VPN) is the technology you should select to allow employees to work remotely from their homes during poor weather conditions.

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solve for the unknown values in the circuit in figure 3-9, NEED ANSWERS ASAP

solve for the unknown values in the circuit in figure 3-9, NEED ANSWERS ASAP

Answers

Answer:

25 V, 50V, 75V respectively.

I hope it will be useful.

The team needs to choose a primary view for the part drawing. Three team members make suggestions:

- Team member 1 suggests an orthographic top view because that is how the plans for the part were submitted.
- Team member 2 suggests an isometric view showing side details that were documented within the submitted plans.
- Team member 3 suggests all three orthogonal views should be presented as the primary view.

What is the best way to proceed?

Answer choices below:

The team needs to choose a primary view for the part drawing. Three team members make suggestions:- Team

Answers

Answer:

Option 1

Explanation:

As the team has already submitted the plans for the part drawing, the best way to proceed would be how it was given in the plans. Hence, the option to be selected :

Team member 1 suggests an orthographic top view because that is how the plans for the part were submitted.

Answer:

The first option

Explanation:

Team member 1 suggests an orthographic top view because that is how the plans for the part were submitted.

What is the primer coating that protects the metal from rusting on a Aftermarket part.. Flat Primer
Primer Sealer
Shipping Primer

Answers

Primer sealer is the correct option choice for your question! Hope this helps

Under ideal conditions, a truck with air brakes going 55 MPH would require a stopping distance of:

Answers

Under ideal conditions, a truck with air brakes going 55 MPH would require a stopping distance of 344 feet.

Stopping distance is the total distance covered by a vehicle from the time the driver perceives the need to stop to the point where the vehicle comes to a complete halt.

The stopping distance is determined by the vehicle's speed, brakes, tires, and roadway surface conditions.

Stopping distance can be determined by adding together the thinking distance and the braking distance. The thinking distance is the distance traveled by the vehicle before the driver can react.

The braking distance is the distance required by the vehicle to come to a halt once the driver applies the brakes.

Under ideal conditions, a truck with air brakes going 55 MPH would require a stopping distance of 344 feet.

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What percent of all miles of roadways in the united states are considered to be rural?.

Answers

About 73 percent of all roadways in the United States are considered to be rural.

What is rural?
The term "rural" is ambiguous and can signify different things to various individuals, groups, and governments. It might be difficult to define "rural" in a country with diverse topography and shifting demographics. For individuals who are concerned with rural concerns, a specific definition of rural is crucial. A definition that is both clearly defined and up to date in its interpretation is necessary for federal and state policymakers, donors, service providers, and researchers. For various programmes and regulatory requirements, numerous federal and state-level classifications of rural have been developed over the years.

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Which layer of the OSI reference model contains the MAC and LLC sublayers?
a. Network layer
b. Transport layer
c. Physical layer
d. Data link layer (Wallace 55)

Answers

The layer of the OSI reference model that contains the MAC and LLC sublayers is the data link layer. The data link layer is the second layer in the OSI reference model and is responsible for providing error-free transmission of data over a physical link.

Option D is the correct answer

The MAC (Media Access Control) sublayer is responsible for controlling access to the physical medium and is mainly concerned with identifying the devices on the network. It defines how devices will share the same physical media and how the data will be transmitted over the network.The LLC (Logical Link Control) sublayer is responsible for establishing and maintaining logical links between devices. It provides services to the network layer and is responsible for handling flow control and error recovery.Together, the MAC and LLC sublayers ensure that data is transmitted reliably and efficiently over the network. They work together to ensure that data is transmitted without errors and that the correct recipient receives the data.In conclusion, the data link layer is the layer of the OSI reference model that contains the MAC and LLC sublayers. It is a crucial layer in the model and plays an essential role in ensuring that data is transmitted accurately and efficiently over the network.

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What braking system would be the most unsafe for a car going over 200mph?

Answers

Answer:

Deactivated Anti-Lock Braking System

Explanation:

Well this actually depends on the vehicles braking function

I'd say in this case not sure if ABS coz it prevents the vehicle from slipping while braking...

On the otherside ESP is inportant for it stability

Under a subsection for geological hazards the buyer is encouraged to obtain an read the booklet

Answers

Answer:

Buyer is encouraged to obtain and read the booklet entitled "The Homeowners Guide to Earthquake Safety." In most cases a questionnaire within the booklet must be completed by Seller and the entire booklet given to the Buyer if the Property was built prior to 1960.

A wide moving belt passes through a container of a viscous liquid. The belt moves vertically upward with a constant velocity of ????0, as shown below. Because of viscous forces, the belt picks up a film of liquid with thickness ℎ. Gravity tends to make the fluid drain down the belt. Assume that the flow is laminar, steady, and fully developed. Using the Navier-Stokes Equations (Cartesian), develop an expression for the profile of the velocity in the vertical y-direction.(A) Express your final equation in dimensionless form.(B) Determine the expression for the volumetric flow rate of the fluid (per unit width).(C) In your answer for part A, you should notice a dimensionless constant, C, that is multiplied by the dimensionless distance (i.e., x/ℎ). Generate a plot of the dimensionless velocity (i.e., ????/????0) vs. the dimensionless distance for the following values of C: 0.01, 0.5, 1, 1.5, and 2. (Hint: assume there is no pressure gradient in this flow. Pressure changes due to the change in elevation of the fluid as it rises are already captured by the gravity term in the Navier-Stokes equations.) HINT: (B: ???? = ???????????? − (????????^????)/(????????))

Answers

A wide moving belt passes through a container of a viscous liquid pressure changes due to the change in elevation of the fluid as it rises are already captured by the gravity term in the Navier-Stokes equations

(a) Since the flow is assumed to be uniform, the Velocity component is in y direction (the component) So that u = V = 0. It follows the continuity equation that dv/dy = 0 and for steady flow dv/dt = 0 so that V = v(x) under these conditions the Navier stokes equations for

dp/dx = 0 , dp/ dz = 0

over a horizontal plane and because the pressure on the Surface of the film (x=h) is atmospheric (or zero gauge pressure). The Navier-Stokes equation. in the y-direction thus reduce. to

0 = -ρg + μ d²v/dx²

or,  d²v/dx² = γ / μ    [γ = ρg]

Integrating the above equation,  

∫d²v/dx² = ∫γ / μ

dv/dx = γ / μ  x +c1

Because there is little air drag on the film. The Shearing stress at the free surface (or any interior parallel surface) is designed as Zxy, where

Zxy = μ dv/dx

c) If Zxy = 0 at x = h

Then 0 = γh/μ + C1

C1 = - γh / μ

Now integrating equation gives the velocity distribution in the film as

v = γ x² / 2μ - γh/μ + C2

At the belt (x=0) the fluid velocity must match the belt velocity Ve so that

V0 = 0-0+C2

C2 = V0

and the velocity  distribution is therefore

v = γ x² / 2μ - γh/μ + V0

with the velocity distribution knowm we can determine the flowrate per unit width q from the relationship

q = ∫ Vdx = ∫ γ x² / 2μ - γh/μ + V0 dx

and thus q = V0 h - γh³/3μ

The average velocity V (where, Q = Vh ) is

Vh = V0h - γh³/3μ

V = V0 - γh²/2μ

f) Average velocity is zero

0 = V0 - γh²/2μ

Vo = γh²/2μ

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Select the correct answer. The most frequent maintenance task for a car is: A. Oil changes B. Tire replacements C. Coolant changes D. Brake replacements

Answers

Answer:

  A. Oil changes

Explanation:

It depends on the car and its usage and environment. Usually oil is supposed to be changed every few months, more often if the car is driven a lot. Coolant changes may be indicated as seasons change, so will generally occur less frequently than oil changes.

Tire and brake replacement depend on usage and driving habits. Some owners may never have to replace either one, if they trade their car every year or two. Folks who drive with their foot on the brake pedal may have to replace brakes relatively often.

The most frequent task is generally oil changes.

Answer:

A. Oil changes

the most frequent maintenance task for a car

et G = (V, E) be a directed graph in which each vertex in u E V is labeled with a unique integer L(u) from the set {1, 2 ...,V]}. For each vertex u E V, let R(u) = {v E V: una v} be the set of vertices that are reachable from u (a node can always reach itself by default). Let min(u) be the vertex in R(u) with the minimum label, i.e. min(u) is vertex v such that L(v) is the smallest among all other nodes in R(u). Describe an O(V + E) time algorithm that computes min(u) for all vertices u € V,

Answers

Using knowledge in DFS algorithms it is possible to write code that can organize the vertices and create functions that understand the order of factors.

Writting in DFS algorithm

dfs(node)

{

mark node as visited

//initialize ans for this node to label of this node

ans=label[node]

for every neigbor of node

{

if the neighbor is visited

{

ans=minimum(ans,calculated[neighbor])

}

else if the neighbor is unvisited

{

call dfs(neighbor)

ans=minimum(ans,calculated[neighbor])

}

}

calculated[node]=ans

}

{

if the node is not visted{

call dfs(node)

}

}

for the given example graph we get minimum label for vertices as:

1 1 1 3 3 6 (in order for a,b,c,d,e,f), so the vertex with this label are c,c,c,e,e,f.

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et G = (V, E) be a directed graph in which each vertex in u E V is labeled with a unique integer L(u)

what does kichfoff's currebt law​

Answers

Answer:

Kirchhoff's current law (1st Law) states that the current flowing into a node (or a junction) must be equal to the current flowing out of it

Explanation:

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