what are the major differences between a low-slope roof and a steep roof? what are the advantages and disadvantages of each type?

Answers

Answer 1

The major differences between a low-slope roof and a steep roof are:

a. Many roofing materials for steep roofs are inexpensive and are easy to handle and install.

b. Small damages to the steep roof can be easily repaired.

c. Water vapor vents easily from the interior of the building through steep roof.

d. More complicated geometrically.

e. Require more material than low slope roofs of the same span.

f. Steep roofs are creating greater work accessibility poblems.

g. Low slope roofs = economical bc of it covering a large area.

h. Simpler geometry

i. Balcony, deck

j. Ponding

i. Can lead to roof failure

The advantages and disadvantages of each type are:

a. Below the structural deck

i. Economical

ii. Disadvantage is that the membrane is fully exposed to the outside temp fluctuations

b. Between the deck and the membrane

i. protects the membrane from temperature extremes

ii. remains exposed to extreme temperature variations

c. Above the membrane

i. Protected from extreme heat and cold

ii. Disadvantage: the membrane is on the warm side of the insulation, it is immune to vapor blistering problems

What is low-slope roof?

A low-slope roof has a slope of less than 3 in 12. This means that the ceiling level rises less than 3 inches vertically for every horizontal foot.

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Related Questions

QUESTION 22
When measuring the thickness of a component measuring around .0015 inches, which of the following measuring tools would be most
accurate?
A machinist rule
A dial caliper

Answers

A micrometer is used to gauge a component's thickness at about.0015 inches.

What is micrometer?A micrometer, also referred to as a micrometer screw gauge, is an instrument with a calibrated screw that is frequently used for precise measurement of components in mechanical engineering, machining, and most mechanical trades, along with other metrological instruments like dial, Vernier, and digital calipers.An instrument for measuring flat surfaces or various geometries is a micrometer. For instance, the pipe's inner diameter or thickness. For extremely accurate measurements, engineers and petrologists employ micrometers in practically every industry. They are widely utilized for crucial metrological tasks like measuring diameters, analyzing depths, taking accurate measurements of components, and characterizing surfaces. The former usage was incompatible with the SI's official adoption of the unit prefix micro-, indicated by the symbol, in 1960, which led to the requirement for this.

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a linked list class must take care of removing the dynamically allocated nodes. this is done by. a.the constructor functionb.the destructor functionc.overriding the removal functiond.overloading the memory persistence operatore.None of these

Answers

A linked list class must take care of removing the dynamically allocated nodes. This is done by "the destructor function".

The destructor function is a special member function of a class that is responsible for freeing the memory allocated to objects of that class. In the case of a linked list class, the destructor function should delete the nodes of the linked list and free the memory allocated to them. This ensures that there are no memory leaks when the linked list object goes out of scope or is explicitly destroyed. The constructor function is responsible for initializing the object's data members when it is created. Overriding the removal function or overloading the memory persistence operator may be necessary for certain applications, but is not necessary for the basic functionality of a linked list class.

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An automobile having a mass of 1100 kg initially moves along a level highway at 120 km/h relative to the highway. It then climbs a hill whose crest is 80 m above the level highway and parks at a rest area located there. Use a reference with kinetic and potential energy each equal to zero for the stationary highway before the hill. Let g = 9.81 m/s^2.

For the automobile, determine its change in kinetic energy and its change in potential energy, both in kJ. For the automobile, determine its change in kinetic energy, in kJ.
a. -8594
b. -663.1
c. -6.63x10^5
d. 663.1

Answers

Answer:

\(-6111.11\ \text{kJ}\)

\(863.28\ \text{kJ}\)

Explanation:

m = Mass of automobile = 1100 kg

v = Velocity of car = 120 km/h = \(\dfrac{120}{3.6}\ \text{m/s}\)

h = Height of hill = 80 m

g = Acceleration due to gravity = \(9.81\ \text{m/s}^2\)

Change in kinetic energy

\(KE=\dfrac{1}{2}m(u^2-v^2)\\\Rightarrow KE=\dfrac{1}{2}\times 1100\times (0-(\dfrac{120}{3.6})^2)\\\Rightarrow KE=-611111.11\ \text{J}\)

Change in kinetic energy is \(-6111.11\ \text{kJ}\)

Change in potential energy is given by

\(PE=mgh\\\Rightarrow PE=1100\times 9.81\times 80\\\Rightarrow PE=863280\ \text{J}\)

The change in potential energy is \(863.28\ \text{kJ}\).

If the goal is to power three-phase AC motors, what kind of power distribution panel would you want to use?

Answers

There are different kinds of Ac motors. If the goal is to power three-phase AC motor, the three-phase motor can be run from a single-phase power source.

It is possible to run a 3 phase motor on single phase power?

The act of running a three phase motor on single phase power is very possible. The thing one has to do is  to connect or wire the single phase power to the input side of the variable frequency drive that one has and then connect or wire the three phase power of one's motor to the output part of the drive.

Conclusively, A three phase system is known to be able to send a lot of power when viewed with the single phase system.  The three circuit conductors is known to have three alternating currents

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_____ can be defined as the rate at which work is done or the amount of work done based on a period of time. (2 Points) voltage power resistant current

Answers

Answer: Power

Explanation:

The rate at which work is done or the amount of work done based on a period of time is referred to as power.

Power can also be defined as the amount of energy that is being transferred per unit time. The unit of power is one joule per second or simply called the watt.

A.4 - 10 Points – Your answer must be in your own words, be in complete sentences, and provide very specific details to earn credit. Explain the 3 methods used to make Deep Copies. Enum are is a type of data type used to define programmers with their own datatype. 1. 2. 3. The SFSU University Police Department has been sending out live updates when there are incidents happening on campus. Would you use Deep or Shallow copies to implement this communication? Please explain in detail.

Answers

The answers to the methods of deep copies, Enum and communication implementation is given below.

What are methods for deep copies?

When copying an object in Java, there are two options that should be taken into account: shallow copy and deep copy. When we merely copy field values and the copy depends on the original object, we utilise a shallow copy. same, references to any fields that contain objects are transferred but not the actual objects themselves. Make sure that all three objects are thoroughly copied in order to prevent the copy from depending on an earlier object that may change in the future. When we attempt to generate an object duplicate, all fields from the original object are precisely reproduced in the deep copy. and if it contains fields that are objects, a copy of those fields is made using the clone function (). The original and duplicated objects refer to distinct objects when you conduct a deep copy on an object that contains an object, and if you make changes to the data, the copied objects do not reflect those changes in the original objects.

What is Enum?

Enum is a sort of data type that programmers can use to construct their own data types —

A particular data type called an enum allows variables to be configured using predefined constants. and the variable should equal one of the predefined values for it. For instance, the compass's orientation (values of NORTH, SOUTH, EAST, and WEST) and the day of the weekAdditionally, the names of the fields on an enum type are all capitalised because they are constant. and the "enum" keyword can be used to define an enum type in java programming. For instance, we can provide the public enum type for the days of the week. Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, and Saturday are the days.

Shall we use Deep or Shallow copies to implement this communication?

The SFSU University Police Department has begun sending out live updates when there are occurrences occurring on campus. Because all field values and copies in shallow copies are dependent on the original objects, this communication can be implemented using this manner.

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A comparison of parking fee changed at 4 randomly selected parking areas were 12 15 17 and 20 pesos per car find the mean the variance of the parking fees

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The calculated mean value is 16. The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset.

The term "average" is frequently used to describe this measure of central tendency. By dividing the sum of the given numbers by the entire number of numbers, the mean—the average of the given numbers—is determined. Mean is equal to (Sum of All Observations/Total Observations).

Mean=12+15+17+20/4

=16

Special road signage designate 10-cent zones. At the beginning and finish of the zone, there are signs. There is one space available for as long as three or four hours each day. Only specific hours of the day are subject to the 10 cent rate. There may be a Blue Zone in locations where paid parking is not (yet) in effect.

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I will give brainltest! Help please
Find two careers and explain why you would enjoy being in this career field.

Find two careers and explain why you would NOT enjoy being in this career field.

Answers

I would enjoy working in a shelter because of the animals and I would also enjoy working as someone who interviews murderers because I find it interesting
I wouldn’t want to work in fast food because of all the grease and I wouldn’t want to work as a cop because of all the dangerous situations you could get into.

Which option justifies the choice made in the following scenario?

Eli is an environmental engineer. He has recently designed a printer. Instead of plastic, a nonrecyclable material, he has chosen to design the printer using types of metal. It is more costly, but he plans to set up a recycling program where parts from the printer can be reused in the production of future printers.

✔️The material he chose is renewable but will increase costs with his recycling program.
✔️The material he chose is nonrenewable but can be used in future products to reduce costs.
✔️The material he chose is nonrenewable and will increase costs with his recycling program.
✔️The material he chose is renewable and is much better for the environment.

Answers

The fact that Eli plans to set up a recycling program made him choose D. The material he chose is renewable and is much better for the environment.

What is recycling?

It should be noted that recycling simply means the process of collecting and processing materials that can be turned into another product.

Therefore, the material he chose is renewable and is much better for the environment and thus influenced his decision.

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True or False: It is uncommon for electrocution to cause crane incidents.

Answers

It is uncommon for electrocution to cause crane incidents: False.

What is electrocution?

Electrocution can be defined as a process through which a certain amount of electric current (electricity) passes through the body of a living organism, thereby, leading to death or severe injury.

According to the occupational safety and health administration (OSHA), it is very common for electrocution to cause crane incidents and accidents when adequate safety precautions are not adopted.

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A wall 0.12 m thick having a thermal diffusivity of 1.5 × 10-6 m2/s is initially at a uniform temperature of 97°C. Suddenly one face is lowered to a temperature of 20°C, while the other face is perfectly insulated. Use the explicit finite-difference technique with space and time increments of 30 mm and 300 s to determine the temperature distribution at at 45 minutes.

Answers

Answer:

at  t = 45 s :  

To = 61.7⁰c,  T1 = 55.6⁰c, T2 = 49.5⁰c, T3 = 34.8⁰C

Explanation:

Wall thickness = 0.12 m

thermal diffusivity = 1.5 * 10^-6 m^2/s

Δt ( time increment ) = 300 s

Δ x   = 0.03 m ( dividing wall thickness into 4 parts assuming the system to be one dimensional )

using the explicit finite-difference technique

Detailed solution is attached below  

A wall 0.12 m thick having a thermal diffusivity of 1.5 10-6 m2/s is initially at a uniform temperature

Portable electronic machines known as AEDs are used to analyze and treat life-threatening cardiac arrhythmias. They are an automated and external type of a device known as what?

Answers

Note that it is correct to state that Portable electronic machines known as AEDs are used to analyze and treat life-threatening cardiac arrhythmias. They are a type of defibrillator.

What is the explanation for the above response?

Note that AED's are a kind of defibrillator that are created and designed to be used by laypeople or people of low medical skills instead of medical professionals.

This device can analyze the heart's rhythm and indicated if the patient will  need to be shocked with electricity to restore balance to their hearts Rythm.

Thus, it is correct to state that AEDs are an automated and external type of a device known as defibrillator.

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When calculating correlation and regression both sets of data must be ______. Select one: a. Statistical. B. Correct. C. Qualitative. D. Quantitative

Answers

When calculating correlation and regression, both sets of data must be quantitative. This means that the data should be in the form of numerical values or measurements.

What is Correlation?

Correlation is a statistical technique used to measure the strength and direction of the relationship between two quantitative variables. It helps in determining how strongly two variables are related to each other.

The correlation coefficient ranges from -1 to +1, where -1 indicates a perfect negative correlation, +1 indicates a perfect positive correlation, and 0 indicates no correlation.

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freshdirect's gives them a competitive advantage related to data which their rivals cannot match

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FreshDirect has a competitive advantage when it comes to data which their rivals cannot match. FreshDirect has been using data analytics for more than a decade now to optimize their operations, improve customer experiences, and offer customized product recommendations. FreshDirect is known for its high level of customer service, which is due in part to its sophisticated data systems that help it anticipate and respond to customer needs quickly and effectively.

They can also monitor customer behavior in real-time to identify trends and preferences, which helps them tailor their product offerings and marketing campaigns to better appeal to customers. FreshDirect has also invested heavily in its supply chain, which is another area where data analytics can be extremely valuable. By using data analytics to track inventory levels, optimize delivery routes, and monitor supplier performance, FreshDirect is able to maintain a high level of operational efficiency and offer a wider range of products to customers. In conclusion, FreshDirect's investment in data analytics gives them a competitive advantage that their rivals cannot match.

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.An Ethernet port has a connector called an RJ-45 to connect to a network cable.
True
False

Answers

The statement given "An Ethernet port has a connector called an RJ-45 to connect to a network cable." is true because an Ethernet port has a RJ-45 connector that is connected to a network cable.

An Ethernet port is a network port that enables a device to connect to an Ethernet network using a cable. An RJ-45 connector is commonly used to attach an Ethernet cable to the Ethernet port. Therefore, the statement "An Ethernet port has a connector called an RJ-45 to connect to a network cable" is true.

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steel expands 1 part in 100,000 for each 1 celsius increase in temperarture. if the 1.5-km main span of a steel suspension bridge had no expansion joints, how much longer would it be for a temperature increase of 20 celsius

Answers

The 1.5-km main span of a steel suspension bridge would be 30 meters longer for a temperature increase of 20 Celsius.

This is because steel expands 1 part in 100,000 for each 1 Celsius increase in temperature. Therefore, a 20 Celsius temperature increase would result in a 20 x 100,000 = 2,000,000 parts expansion. Since 1.5 km = 1,500,000 parts, 2,000,000 parts expansion would equate to an additional 500,000 parts or 500 meters. Since 1 meter = 100 parts, 500 meters = 500 x 100 = 50,000 parts.

Therefore, the 1.5-km main span of a steel suspension bridge would be 50,000 parts or 30 meters longer for a temperature increase of 20 Celsius.

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Using the Equilibrium Equation (F1d1 = F2d2), find F1, if d1 = 30ft, and F2 = 1050lb, and d2=22ft. Please state your answer in pounds and round to the nearest whole number.

Answers

Answer:

77 lb

Explanation:

Equation: F₁d₁ = F₂d₂

Knowns:

d₁ = 30 ft

F₂ = 105 lb

d₂ = 22 ft

Solving for F₁:

1). F₁•30 = 105•22

2). F₁•30=2,310

3).\(\frac{F_1\cdot 30}{30}=\frac{2310}{30}\)

4). F₁ = 77 lb

Expression for calories burned during workout

Answers

Women: Calories -((Age x 0.074) - (Weight x 0.05741) + (Heart Rate x 0.4472) – 20.4022) Time / 4.184 Men: Calories = ((Age x 0.2017) + (Weight 0.09036) + (Heart Rate x 0.6309) - 55,0969) x Time / 4.184

the proper way to unplug a cord is to pull on the plug and not the cord. true or false

Answers

The proper way to unplug a cord is to pull on the plug and not the cord is true.

What is plug?

Plug is a term used to describe an electrical connection or device that is used to connect two or more electrical components. It is a component that is designed to be connected to a receptacle or an electrical outlet. Plugs can come in different shapes, sizes and configurations and can be used to connect a wide variety of electrical devices. Plugs are used in a variety of applications, from everyday household items to complex industrial machinery. Plugs are used to enable the transfer of energy from one device to another. They provide a safe and easy way to connect electrical devices and components. Plugs provide a secure connection that prevents short circuits and other electrical hazards.

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6) create a new table called candidate2 that contains the number of people in each party. should contain the partycode and the number of people (caution, you have to use an alias for this to work)

Answers

The syntax for creating such a table would be as follows:
CREATE TABLE candidate2 AS
SELECT partycode, COUNT(*) AS num_people
FROM candidates
GROUP BY partycode;

To create a new table called candidate2 that contains the number of people in each party, we need to use an alias for the number of people. The partycode and the number of people should be included in the table.
This command creates a new table called candidate2 with the partycode and the number of people in each party. The COUNT(*) function counts the number of rows in the candidates table for each partycode. The alias num_people is used for this count.
In summary, the above SQL command creates a new table called candidate2 that contains the partycode and the number of people in each party. It uses the COUNT(*) function to count the number of rows in the candidates table for each partycode and assigns the alias num_people to the count. The GROUP BY clause groups the data by partycode. By creating this table, we can easily access the number of people in each party, which can be useful for various analyses. Additionally, the use of aliases in SQL is important to make the output more readable and understandable. It allows us to give a more descriptive name to the result of a calculation, such as the count of people in each party. Overall, creating a new table in SQL can help us organize and analyze our data in a more meaningful way.

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what divides the engineering stress-strain curve into two regions, namely, the elastic and plastic regions?

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The engineering stress-strain curve is divided into two regions, the elastic and plastic regions, by a yield point.

The stress-strain curve is a graph that shows how materials react to stress. The material's physical and chemical properties are used to identify the stress-strain curve. Stress and strain are the two variables used in this model. Stress is a measure of the internal forces acting on a material, while strain is a measure of the material's deformation in response to the stress.

The linear portion of the stress-strain curve is referred to as the elastic region. The material returns to its original shape when the load is removed from this area of the curve. Young's modulus is the slope of this line, which represents the material's stiffness. If the stress is increased beyond the yield point, the material will deform in the plastic region.

The plastic region is the non-linear portion of the stress-strain curve. The material deforms in this region, and it will not return to its original shape if the load is removed. The strain-hardening slope, which represents the rate at which the material's strength increases as it deforms, is the slope of this region.

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an engineer is tasked with measuring the height of a wall using a millimeter ruler. the engineer realizes that the height fluctuates by several centimeters at different positions along its length. how should the engineer make the measurement?.

Answers

The height specific of the wall should be measured numerous times throughout its length by the engineer, who should average the results.

A wall's height may vary by several centimeters at various spots along its length, making it challenging to measure with a millimeter ruler. The engineer should measure the wall numerous times along its length and average the data to assure accuracy. The height of the wall should be measured numerous times throughout its length by the engineer, who should average the results. This will provide a more accurate measurement of the wall's height while taking any variations into consideration. In order to obtain the most precise reading, the engineer should measure the wall at spots that are spaced as evenly as possible. The most precise result is obtained by taking several measurements and averaging them.

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Why is not adjust the depth of cut in the center of work piece in facing turning?

Answers

Answer:

I am not sure it's confusing

A circuit-switching scenario in whichNcs users, each requiring a bandwidth of 25 Mbps, must share a link of capacity 150 Mbps.
A packet-switching scenario withNps users sharing a 150 Mbps link, where each user again requires 25 Mbps when transmitting, but only needs to transmit 10 percent of the time.

What is the probability that a given (specific) user is transmitting, and the remaining users are not transmitting?

Answers

Answer:

0.09

Explanation:

Packet switching involves breaking a message into packets and sending them independently. Since the user only needs to transmit 10 percent of the time, the probability that a given (specific) user is transmitting = 10% = 0.1

The  probability that a user is not transmitting = 100% - 10% = 90% = 0.9

Therefore, the probability that a given (specific) user is transmitting, and the remaining users are not transmitting = 0.1 * 0.9 = 0.09

For a steel alloy it has been determined that a carburizing heat treatment of 11.3 h duration will raise the carbon concentration to 0.44 wt% at a point 1.8 mm from the surface. Estimate the time necessary to achieve the same concentration at a 4.9 mm position for an identical steel and at the same carburizing temperature.

Answers

This question is incomplete, the complete question is;

For a steel alloy it has been determined that a carburizing heat treatment of 11.3 h duration at Temperature T1 will raise the carbon concentration to 0.44 wt% at a point 1.8 mm from the surface. A separate experiment is performed at T2 that doubles the diffusion coefficient for carbon in steel.

Estimate the time necessary to achieve the same concentration at a 4.9 mm position for an identical steel and at the same carburizing temperature T2.

Answer:

the required time to achieve the same concentration at a 4.9 is 83.733 hrs

Explanation:

Given the data in the question;

treatment time t₁ = 11.3 hours

Carbon concentration = 0.444 wt%

thickness at surface x₁ = 1.8 mm = 0.0018 m

thickness at identical steel x₂ = 4.9 mm = 0.0049 m

Now, Using Fick's second law inform of diffusion

\(x^2\) / Dt = constant

where D is constant

then

\(x^2\) / t = constant

\(x^2_1\) / t₁ = \(x^2_2\) / t₂

\(x^2_1\) t₂ = t₁\(x^2_2\)

t₂ = t₁\(x^2_2\) / \(x^2_1\)

t₂ = (\(x^2_2\) / \(x^2_1\))t₁

t₂ = \((\) \(x_2\) / \(x_1\) \()^2\) × t₁

so we substitute

t₂ = \((\) 0.0049  / 0.0018  \()^2\) × 11.3 hrs

t₂ = 7.41 × 11.3 hrs

t₂ = 83.733 hrs

Therefore, the required time to achieve the same concentration at a 4.9 is 83.733 hrs

iaas providers are amazon web services (aws) and rackspace. true false

Answers

This is true, because the IaaS providers refer to companies for engineering design that offer Infrastructure as a Service, which means they provide cloud-based infrastructure resources such as servers, storage, networking, and virtualization to their clients.

Responsible for the engineering design, setup, configuration, maintenance, and troubleshooting of all Windows Servers and related technologies. Amazon Web Services AWS and Rack space are both popular IaaS providers that offer these services to businesses and individuals. Therefore, the statement that IaaS providers are Amazon Web Services AWS and Rackspace is true.

Infrastructure as a Service IaaS providers are companies that offer cloud-based computing resources, such as storage, servers, and networking components, to customers on a pay as you go basis. Amazon Web Services AWS and Rack space are examples of IaaS providers, making the statement true.

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The results of a _________ test will determine if there is suitable drainage and the size of the drain field that will be required for a septic system.

Answers

Answer:

The results of a percolation test will determine if there is suitable drainage and the size of the drain field that will be required for a septic system.

Linde process is used for air liquefaction. The high-pressure gas leaving the compressor is at 120 bar and is cooled to 306 K (516 kJ/kg) before it is sent through the heat exchanger where it exchanges heat with low pressure gas leaving the separator at 2 bar. A 14 K approach is desired at the hot end of the exchanger so that the low-pressure gas leaving the exchanger is at 292 K (526 kJ/kg). Enthalpy of saturated liquid and saturated vapour at 2 bar are 121 kJ/kg and 314 kJ/kg, respectively. Determine: (a) The fraction of the air liquefied during expansion. (b) Temperature of the air on the high-pressure side of the throttle valve.

Answers

Answer:

(a) To determine the fraction of the air liquefied during expansion, we need to calculate the enthalpy of the low-pressure gas leaving the exchanger and compare it to the enthalpy of saturated liquid at 2 bar. The enthalpy of the low-pressure gas leaving the exchanger can be calculated using the temperature and the enthalpy of the high-pressure gas entering the exchanger:

Enthalpy of low-pressure gas = Enthalpy of high-pressure gas - Heat exchanged with low-pressure gas

= 516 kJ/kg - (526 kJ/kg - 516 kJ/kg)

= 526 kJ/kg

The fraction of the air liquefied during expansion can then be calculated as the difference between the enthalpy of the low-pressure gas and the enthalpy of saturated liquid at 2 bar, divided by the enthalpy of saturated vapour at 2 bar:

Fraction of air liquefied = (526 kJ/kg - 121 kJ/kg) / (314 kJ/kg - 121 kJ/kg)

= 0.48

(b) To determine the temperature of the air on the high-pressure side of the throttle valve, we need to calculate the temperature of the high-pressure gas entering the exchanger and subtract the 14 K approach. The temperature of the high-pressure gas entering the exchanger can be calculated using the enthalpy and the pressure:

Temperature of high-pressure gas = (Enthalpy - Enthalpy of saturated liquid) / (Enthalpy of saturated vapour - Enthalpy of saturated liquid)

* (Temperature of saturated vapour - Temperature of saturated liquid) + Temperature of saturated liquid

= (516 kJ/kg - 121 kJ/kg) / (314 kJ/kg - 121 kJ/kg)

* (226.8 K - 216.5 K) + 216.5 K

= 306 K

The temperature of the air on the high-pressure side of the throttle valve is then:

Temperature of high-pressure gas - Approach temperature

= 306 K - 14 K

= 292 K

... are pictures composed of straight and curved lines.
A. Icons
B.Symbols
C.Graphics
D.Shapes

Answers

The sentence can be completed this way:

Icons are pictures composed of straight and curved lines.

A. Icons

What are icons?

Icons refer to the forms of software representations that can be used to depict an entity. Icons can have different meanings for users. Icons tend to be small in size and may often consist of straight and curved lines that merge to form a bigger picture.

Icons are forms of visual representations that make it possible for people to easily identify the things that they are looking for. They save a considerable length of time in identifying graphics of interest. Option A is right.

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A vacuum-propelled capsule for a high-speed tube transportation system of the future is being designed for operation between two stations 10 km apart. If maximum accerlation and deceleration are to have a limiting magnitude of .6g and if velocities are to be limited to 400 km/h, determine the minimum time for the capsule to make the 10 km trip. answer t = 1.81 min

Answers

The minimum time for the vacuum-propelled capsule to make the 10 km trip is t = 1.81 minutes.

To determine the minimum time for the capsule to make the 10 km trip, we need to consider the limiting factors of maximum acceleration, maximum deceleration, and velocity limitation.

Maximum acceleration and deceleration:

Given that the maximum acceleration and deceleration have a limiting magnitude of 0.6g, we can convert this to meters per second squared (m/s^2) for calculations. One g is equivalent to 9.8 m/s^2.

Therefore, the maximum acceleration and deceleration are 0.6 * 9.8 = 5.88 m/s^2.

Velocity limitation:

The velocity is limited to 400 km/h. To convert this to meters per second (m/s), we divide by 3.6 (since 1 km/h = 1/3.6 m/s).

Therefore, the velocity limitation is 400 / 3.6 = 111.11 m/s.

Now, let's calculate the time using the equations of motion:

a. Calculate the time taken to accelerate from 0 m/s to the maximum velocity:

Using the formula v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.

Initial velocity (u) = 0 m/s

Final velocity (v) = 111.11 m/s

Acceleration (a) = 5.88 m/s^2

Time taken to accelerate (t1) = (v - u) / a

b. Calculate the time taken to decelerate from the maximum velocity to 0 m/s:

Using the same formula v = u + at, where v is the final velocity, u is the initial velocity, a is the deceleration (the same as acceleration but with a negative sign), and t is the time.

Initial velocity (u) = 111.11 m/s

Final velocity (v) = 0 m/s

Deceleration (a) = -5.88 m/s^2 (negative sign because it is deceleration)

Time taken to decelerate (t2) = (v - u) / a

c. Calculate the time taken to travel at a constant velocity:

The distance traveled at a constant velocity is the remaining distance after acceleration and deceleration, which is 10 km - (2 * 10 km) = 0 km.

Time is taken at constant velocity (t3) = Distance / Velocity

d. Calculate the total time:

The total time taken is the sum of the time taken for acceleration (t1), deceleration (t2), and travel at a constant velocity (t3).

Total time = t1 + t2 + t3

By plugging in the values and performing the calculations, we arrive at the minimum time for the capsule to make the 10 km trip, which is t = 1.81 minutes.

To learn more about acceleration: https://brainly.com/question/460763

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