Many more automobiles have an analogue (MUX) switching signal instead of carrying the electricity for the headlights.
What exactly is an automobile?Automobiles, sometimes referred to as sports cars just cars, are mainly four-wheeled transportation vehicles. combustion engines that consume volatile fuels are typically used to power them.
What is an example of a car?There are a wide range of autos, including cars, buses, trucks, motorcycles, etc. An automobile, such as a car, a bus, a truck, etc., is a soul vehicle that utilizes a fusion reactor for propulsion and that is used to transport people and things over land.
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in mining auxiliary operations are the supplementry steps that support the production cycle . elucidate the auxiliary operations of underground mining?
Answer:
The answer is below
Explanation:
The mining auxiliary operations in underground mining involve various activities that are important for a successful mining operation particularly in the areas of productive operating conditions.
The activities involved in the auxiliary operations in underground mining include the following: ventilation, haulage, drainage, power supply, lighting, delivery of compressed air, water, supplies to the working sections, and communications.
Can somebody help me with that
Answer:
I think it's 23 ohms.
Explanation:
Not entirely sure about it.
hope this helps
The average repair cost of a microwave oven is 55$, with a standard deviation of 8$. the costs are normally distributed. If 12 ovens are repaired, find the probability that the mean of the repair bills will be greater than 60$.
The probability that the mean of the repair bills for 12 microwave ovens will be greater than $60 is 0.015 or about 1.5%.
What is Probability?The distribution of the sample means for repair costs of 12 microwave ovens can be approximated to a normal distribution, with a mean of the population repair cost, μ = $55 and a standard deviation of the sample mean, σ/√n = $8/√12 ≈ $2.31.
We need to find the probability that the sample mean is greater than $60. Using the formula for z-score:
z = (x - μ) / (σ / √n)
= (60 - 55) / (2.31)
≈ 2.16
We can look up the area under the standard normal distribution curve for z-score 2.16 in a z-table or calculate it using software. The probability is approximately 0.015.
Therefore, the probability that the mean of the repair bills for 12 microwave ovens will be greater than $60 is 0.015 or about 1.5%.
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instructions: as acting quality engineer, you have been asked to prepare a control plan for a customer that requires the following specifications: a. inside diameter 1.673 /- 0.001 inches b. outside diameter 3.562 /- 0.005 inches c. thickness 0.875 /- 0.0005 inches
suppose each bulb has resistance r . with bulb c in place, bulbs b and c are in and have equivalent resistance .target 1 of 12target 2 of 12 bulb a is in with b and c, and the total resistance of the circuit is 3 of 12target 4 of 12 with bulb c removed, bulbs a and b are in blank with total resistance 5 of 12target 6 of 12 removing bulb c blank the total resistance and thus blank the current from the 7 of 12target 8 of 12 all the battery current passes through bulb a, so bulb a gets 9 of 12 bulb b no longer has to share current with bulb c, so the current through bulb b blank and bulb b gets 10 of 12target 11 of 12 with bulbs a and b in series, the brightness of bulb a has to be blank the brightness of bulb 12 of 12
In the example, we have three bulbs with of r: A, B, and C. Let's examine the conditions of the circuit step by step:
1. When bulb C is installed, bulbs B and C are connected in parallel, creating an equivalent resistance of r/2.2. Bulb A is connected in series with the parallel arrangement of bulbs B and C, and the circuit's overall resistance is 3.3. The total resistance changes to 5r when bulb C is removed, putting bulbs A and B in series.4. Removing bulb C reduces the circuit's current flow since it raises the overall resistance.5. When bulb C is taken out, the battery's current drops to 7/12 of what it was before.
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pls discuss the concepts in which architectural forms/visuals correlate in the design process
Answer:
Visual connectivity refers to the tangible aspects of a space; extent to which a place can be viewed from other places. It is believed that the design properties of a spatial layout of an atrium leaves unobstructed views horizontally and vertically.
Explanation:
1. An access control system controls access to area restricted area or facility using physical and computer-related devices, equipment along with ___.
An access control system controls access to area restricted area or facility using physical and computer-related devices, equipment along with authentication and authorization mechanisms.
Which statement best describes how power and work are related?
O A. Power is the ability to do more work with less force.
O B. Power is a measure of how quickly work is done.
O C. Power and work have the same unit of measurement
O D. Power is the amount of work needed to overcome friction.
Pls answer quick
B
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How is the national saving in an open economy calculated?
The national savings in an open economy is calculated by adding private savings, public savings, and net capital inflows.
What is economy?
The creation, distribution, and exchange of goods and services, as well as their consumption, constitute the economy. It is broadly defined as a "social realm emphasising actions, discourses, and material expressions associated with the development, use, and management of finite resources." A given economy is a set of activities with primary variables such as culture, values, education, technological evolution, history, social organisation, political structure, legal systems, and natural resources. These factors provide context and content, as well as the conditions and parameters that govern an economy. Alternatively, the economic sphere is a social world of interconnected human activities and transactions that does not exist in isolation.
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assume that a b and c are boolean variables that have been properly declared and initialized which of the following boolean expressions: (a && (b || !a)) == a && b
Which of the following best describes the conditions under which the expression will evaluate to true?
A Only when a is true
B Only when b is true
C Only when both a and b are true
D The expression will never evaluate to true.
E The expression will always evaluate to true.
boolean expressions C Just when a and b are accurate. If both requirements of a and b are met, the expression evaluates to true.
Only when both of the requirements in (a && (b ||!a)) == a && b are met does the expression (a && (b ||!a)) == a && b evaluate to true. This is as a result of the expression's use of the logical "AND" operator. Only when both of the conditions on which the "AND" operator is executing are true does it evaluate to true. The first condition in this situation is a && (b ||!a) and the second condition is a && b, both of which can only be satisfied when both a and b are true. As a result, only when both of the conditions for a and b are true does the phrase (a && (b ||!a)) == a && b evaluate to true.
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which one of these reduce fraction?
A 50 mm 45 mm 20 mm cell phone charger has a surface temperature of Ts 33 C when plugged into an electrical wall outlet but not in use. The surface of the charger is of emissivity 0.92 and is subject to a free convection heat transfer coefficient of h 4.5 W/m2 K. The room air and wall temperatures are T 22 C and Tsur 20 C, respectively. If electricity costs C $0.18/kW h, determine the daily cost of leaving the charger plugged in when not in use.
Answer:
C = $0.0032 per day
Explanation:
We are given;
Dimension of cell phone; 50 mm × 45 mm × 20 mm
Temperature of charger; T1 = 33°C = 306K
Emissivity; ε = 0.92
convection heat transfer coefficient; h = 4.5 W/m².K
Room air temperature; T∞ = 22°C = 295K
Wall temperature; T2 = 20°C = 293 K
Cost of electricity; C = $0.18/kW.h
Chargers are usually in the form of a cuboid, and thus, surface Area is;
A = (50 × 45) + 2(50 × 20) + 2(45 × 20)
A = 6050 mm²
A = 6.05 × 10^(-3) m²
Formula for total heat transfer rate is;
E_t = hA(T1 - T∞) + εσA((T1)⁴ - (T2)⁴)
Where σ is Stefan Boltzmann constant with a value of; σ = 5.67 × 10^(-8) W/m².K⁴
Thus;
E_t = 4.5 × 6.05 × 10^(-3) (306 - 295) + (0.92 × 6.05 × 10^(-3) × 5.67 × 10^(-8)(306^(4) - 293^(4)))
E_t = 0.7406 W = 0.7406 × 10^(-3) KW
Now, we know C = $0.18/kW.h
Thus daily cost which has 24 hours gives;
C = 0.18 × 0.7406 × 10^(-3) × 24
C = $0.0032 per day
What proviion under the copyright law were violated? why wa thi condiered a violation?
Answer:
Music Infringement: The well known musicians, Pharrell Williams and Robin Thicke, were involved in an extended copyright dispute with the estate of Marvin Gaye for similarities between the Williams-Thicke hit, “Blurred Lines”, and Gaye’s earlier hit, “Got to Give It Up”. The courts found that the two tunes were similar enough that the more recent piece of music did, in fact, constitute copyright infringement against Gaye's earlier work.
A rain gutter is to be constructed from a metal sheet of width 3m by bending up one-third of the sheet on each side through an angle θ. How should θ be chosen so that the gutter will carry the maximum amount of water?.
The area of the gutter is therefore equal to the area of the rectangle plus the area of the triangles.
A = rectangle + 2 * triangle
= 10h + 2 * (1/2 hw)
Using trig work out h and w.
h = 10 sin ?
w = 10 cos ?
A = 10h + hw
= 100sin? + 100sin?cos?
Differentiate the expression (either use the product rule for sin? cos?, or write 100sin?cos? as 50sin2? using the double angle formula)
A = 100sin? + 50sin2?
dA/dt = 100cos? + 100cos2?
For A to be a max or min the derivative must equal zero
100cos? + 100cos2? = 0
cos? + cos2? = 0
Use the double angle formula to write cos2? as 2cos^2 ? - 1
cos? + 2cos^2 ? - 1 = 0
2cos^2 ? + cos? - 1 = 0
This quadratic factorizes:
(2cos? - 1)(cos? + 1) = 0
This means that
cos ? = 1/2 or cos ? = 1
giving:
? = pi/3 or ? = pi
Which means that to achieve the maximum area ? should be pi/3 = 60 degrees
You can check that this is the max by substituting in these values of theta and the two end points (theta = 0, theta = pi), and seeing that pi/3 gives the maximum.
The maximum area is therefore
A = 100sin? + 100sin?cos?
= 100sin(pi/3) + 100sin(pi/3)cos(pi/3)
= 100 sqrt(3) / 2 + 100 sqrt(3)/2 * 1/2
= 100 * 3/2 * sqrt(3) / 2
= 3 * 25 * sqrt(3)
= 75 sqrt(3)
= 129.9...
= 130 cm^3
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While discussing PCV valve operation: Technician A says that the PCV valve opening is decreased at part-throttle operation compared to idle operation. Technician B says that the PCV valve opening is decreased at wide-open throttle compared to part throttle. Who is correct?
Answer:
Both are incorrect.
Explanation:
PCV valve opening is dependent on amount of manifold vacuum value. The opening cannot decrease due to part throttle operation. The PCV system is a tampered valve whose opening depend upon intake manifold vacuum. PCV valve is supported by a spring and is initially in a closed position.
fill in the blanks so that the code prints "yellow is the color of sunshine"
Selecting the range before you enter data saves time because it confines the movement of the active cell to the selected range (T/F).
Its True the range before you enter data saves time because it confines the movement of the active cell to the selected range .
What is data
Data is information that has been collected and organized in a meaningful way. Data can be quantitative (numbers) or qualitative (descriptive and subjective information). Data can come from surveys, experiments, observations and other sources. Data is a valuable asset and is used to inform decisions, create insights, and uncover trends and patterns. Data can be structured (structured in a way that makes it easy to search, sort, and analyze) or unstructured (not organized in a conventional way). Data can be used to identify problems, generate and test hypotheses, and measure the success of different strategies. Data is a key component of any organization and is used to help inform decisions, gain insights, and improve operations.
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Question 5: A public facility needs to be located on a street denoted by (0,1). There are 2 agents in the city. Each agent i € {1,2} has an ideal location P: € (0.1) where she wants the facility to be located. If the facility is located at k € [0,1], then the utility of agent i is -Ip-k1 The following voting game is played to decide the location. Every agent (citizen) i votes for a location 11 € (0,1). Given the voted location profile x = (*1,22), the facility is located at 0(x), where : (0,1)+(0,1) is some function which provides a location for every possible profile of voted locations. (a). Define the game in strategic form. (4 points) (b). Show that it is a weakly dominant strategy for each agent i to vote for her ideal location Piifo is the following function: for every (162) 0(x1, x2) = min{11,12}
It is a weakly dominant strategy for each agent i to vote for her ideal location Pi.
(a) The strategic form of the game can be represented as follows:
Agent 1's strategy set: S1 = [0,1]
Agent 2's strategy set: S2 = [0,1]
Agent 1's payoff function: U1(11,12) = -P1 - d(x1,0)
Agent 2's payoff function: U2(11,12) = -P2 - d(x2,0)
Here, P1 and P2 represent the ideal locations of Agent 1 and Agent 2, respectively. x1 and x2 are the voted locations by Agent 1 and Agent 2, respectively. The function d(a,b) represents the distance between points a and b.
(b) To show that it is a weakly dominant strategy for each agent i to vote for her ideal location Pi, we need to compare the payoffs for different strategies of each agent.
For Agent 1:
Suppose Agent 1 votes for a location x' != P1. Let's consider two cases:
1. If x' < P1:
In this case, the utility of Agent 1 would be U1(x',x2) = -P1 - d(x',0).
Since x' < P1, the distance d(x',0) would be greater than or equal to the distance d(P1,0).
Therefore, U1(x',x2) <= -P1 - d(P1,0) = U1(P1,x2).
2. If x' > P1:
In this case, the utility of Agent 1 would be U1(x',x2) = -P1 - d(x',0).
Since x' > P1, the distance d(x',0) would be greater than or equal to the distance d(P1,0).
Therefore, U1(x',x2) <= -P1 - d(P1,0) = U1(P1,x2).
From the above two cases, we can conclude that for Agent 1, voting for any location other than P1 would result in a weakly lower or equal utility compared to voting for P1. Hence, voting for P1 is a weakly dominant strategy for Agent 1.
Similarly, we can show that voting for Pi is a weakly dominant strategy for Agent 2.
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a pressure cooker is a pan that cooks food much faster than ordinary pans by maintaining a higher pressure and temperature during cooking. the pressure inside the pan is controlled by a pressure regulator (the petcock) which keeps the pressure at a constant level by periodically allowing some steam to escape, thus preventing any excess pressure buildup. a certain pressure cooker has a volume of 6 l and an operating pressure of 75 kpa gage. initially, it contains 1 kg of water. heat is supplied to the pressure cooker at a rate of 500 w for 30 min after the operating pressure is reached. assuming an atmospheric pressure of 100 kpa, determine: a) the temperature at which cooking takes place. b) the amount of water left in the pressure cooker at the end of the process. assume some liquid water is still in the pan.
More cooking is done before the water actually begins to boil thanks to the raised pressure inside the cooker, which raises the boiling point of water above 1000C. In the end, food cooks more quickly.
Slow-cooked meals can be quickly prepared with pressure cookers. They are efficient in terms of electricity consumption and are excellent for tenderizing less expensive portions of meat. They are a healthy cooking method since they effectively retain nutrients and can cut cooking times by up to 50%. Water boils at 121°C (250°F) at that pressure. As a result, food may cook at considerably greater temperatures than it could under atmospheric pressure. Additionally, because cooking reactions quicken at higher temperatures, food cooks more quickly it is a good technology.
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IV. An annealed copper strip 9 inches wide and 2.2 inches thick, is rolled to its maximum possible draft in one pass. The following properties of annealed copper are given: strength coefficient is 90,000 psi; true strain at the onset of non-uniform deformation is 0.45; and, engineering strain at yield is 0.11. The coefficient of friction between strip and roll is 0.2. The roll radius is 14inches and the rolls rotate at 150 rpm. Calculate the roll-strip contact length. Calculate the absolute value of thetrue strain that the strip undergoes in this operation. Determine the average true stress of the strip in theroll gap. Calculate the roll force. Calculate the horsepower required.
Answer:
13.9357 horse power
Explanation:
Annealed copper
Given :
Width, b = 9 inches
Thickness, \($h_0=2.2$\) inches
K= 90,000 Psi
μ = 0.2, R = 14 inches, N = 150 rpm
For the maximum possible draft in one pass,
\($\Delta h = H_0-h_f=\mu^2R$\)
\($=0.2^2 \times 14 = 0.56$\) inches
\($h_f = 2.2 - 0.56$\)
= 1.64 inches
Roll strip contact length (L) = \($\sqrt{R(h_0-h_f)}$\)
\($=\sqrt{14 \times 0.56}$\)
= 2.8 inches
Absolute value of true strain, \($\epsilon_T$\)
\($\epsilon_T=\ln \left(\frac{2.2}{1.64}\right) = 0.2937$\)
Average true stress, \($\overline{\gamma}=\frac{K\sum_f}{1+n}= 31305.56$\) Psi
Roll force, \($L \times b \times \overline{\gamma} = 2.8 \times 9 \times 31305.56$\)
= 788,900 lb
For SI units,
Power = \($\frac{2 \pi FLN}{60}$\)
\($=\frac{2 \pi 788900\times 2.8\times 150}{60\times 44.25\times 12}$\)
= 10399.81168 W
Horse power = 13.9357
After you've reviewed the Microsoft Learning Resources for this week, prepare a simple project using MS Project. Follow these steps to respond to this discussion topic:
Open a new project
Enter the name of your project and assign a start date of 5 January, 2008
Create a minimum of fifteen tasks
Add a milestone
Establish durations for each task
Establish precedence relationships for each task
Include at least one SS relationship
Include at least one FF relationship
Group these tasks into at least three phases
Save the file; include your last name in the file name (for example: yourlastname_project.mpp)
Attach your file to this thread.
Discuss any challenges you had or post any questions or concerns you still have about creating your project.
IntroductionMicrosoft Project is a project management software product, developed and sold by Microsoft. Microsoft Project is designed to assist project managers in planning, monitoring, and reporting on projects.
After reviewing Microsoft Learning Resources for this week, this project was created using MS Project.Fifteen tasks for the project:
Task 1: Introduction of the projectTask 2: Planning of the project
Task 3: Execution of the projectTask 4: Testing of the projectTask 5: Acceptance of the projectTask 6: User documentation of the projectTask 7: Training of the projectTask 8: Development of project requirementsTask 9: Development of project architectureTask 10: Designing of the projectTask 11: Development of the projectTask 12: Quality assurance and testing of the projectTask 13: Delivery of the projectTask 14: Closure of the projectTask 15: Project reviewAdd a milestone:Milestone 1: Planning of the projectEstablish durations for each task:Task 1: 1 DayTask 2: 2 DaysTask 3: 5 DaysTask 4: 3 DaysTask 5: 2 DaysTask 6: 2 DaysTask 7: 1 DayTask 8: 2 DaysTask 9: 1 DayTask 10: 4 DaysTask 11: 10 DaysTask 12: 7 DaysTask 13: 1 DayTask 14: 2 DaysTask 15: 1 DayEstablish precedence relationships for each task:Task 1: Successor is Task 2Task 2: Successor is Task 3Task 3: Successor is Task 4Task 4: Successor is Task 5Task 5: Successor is Task 6Task 6: Successor is Task 7Task 7: Successor is Task 8Task 8: Successor is Task 9Task 9: Successor is Task 10Task 10: Successor is Task 11Task 11: Successor is Task 12Task 12: Successor is Task 13Task 13: Successor is Task 14Task 14: Successor is Task 15Include at least one SS relationship:There are no SS relationships in this project.Include at least one FF relationship:Task 1 FF relationship to Task 3Group these tasks into at least three phases:Phase 1: Tasks 1-5Phase 2: Tasks 6-10Phase 3: Tasks 11-15Save the file; include your last name in the file name (for example: yourlastname_project.mpp):Kumar_Project.mppChallenges faced:I did not face any challenges while creating this project using MS Project. MS Project is user-friendly and easy to navigate. It took me about an hour to complete this project.
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You have just created a variable named CREATOR. Which of the following commands will display the contents of the variable to standard output?
a. echo $CREATOR
b. print CREATOR
c. echo CREATOR
d. disp $CREATOR
echo $CREATOR is the commands that will display the contents of the variable to standard output. Hence option a is correct.
What is variable?Variable is defined as a value that is subject to vary depending on external factors or input to the program. A program normally consists of instructions that tell the computer what to do and data that it utilizes while running.
A Unix/Linux command tool called echo is used to show lines of text or strings that are supplied as command-line parameters. One of the fundamental commands in Linux, this one is most frequently used in shell scripts.
Thus, echo $CREATOR is the commands that will display the contents of the variable to standard output. Hence option a is correct.
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What does it mean when a CMU has been "buttered"?
Answer:The head joints are buttered in advance and each block is lightly shoved against the block in place. This shove will help make a tighter fit of the head
Question 2
Salt in crude oil must be removed before the oil undergoes processi
fed to a washing unit where fresh water fed to the unit mixes with t
the sal contained in the oil. The oil (containing salt but no water), be
can be removed at the top of the washer. If the "spent" wash water
oil contains 5% salt, determine the concentration of the salt in the w
crude oil (with salt) to water used is 4:1.
The concentration of the salt in the w crude oil (with salt) to water used is 4:1 is 0.0061.
What is crude oil?
Crude oil is a hydrocarbon mixture that exists in liquid form in natural subterranean reservoirs and stays liquid at atmospheric pressure after passing through surface separation facilities.
The salt content of "spent" wash water is 15%.
5% of crude oil is salt.
The crude oil (with salt) to water ratio utilised is 4: 1.
Crude oil fraction:
95% of crude oil = 0.95
0.95F1 = x1E1
0.95(100) = x1E1
95= x1E1
E1 = 95/X1
wash water fraction:
15% of wash water = 100% -15% = 85%
= F2 = 0.85E2
salts fraction:
0.05F1 = (1-X1)E1 + 0.15E2
0.05F1 = (1-X)95/X1 + 0.15(F2/0.85)
0.05F1 = 95/X1 - 95 + 0.15(F2/0.85) (SINCE = 95.588 = 95/X1 = 99.38)
0.05(100) = 95/X1 - 95 + 17.61(1/4F1)
5 = 95/X1 - 95 + 4.41
Fraction of salts = 1- X1 = 0.0061
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What is the benefit of theories? they are easily disproven they are written by famous people they were applying every circumstance they can provide some explanation for signs
Answer:
A scientific theory is an explanation of an aspect of the natural world and universe that has been repeatedly tested and verified in accordance with the scientific method, using accepted protocols of observation, measurement, and evaluation of results. Where possible, theories are tested under controlled conditions in an experiment. In circumstances not amenable to experimental testing, theories are evaluated through principles of abductive reasoning. Established scientific theories have withstood rigorous scrutiny and embody scientific knowledge.
A scientific theory differs from a scientific fact or scientific law in that a theory explains "why" or "how": a fact is a simple, basic observation, whereas a law is a statement (often a mathematical equation) about a relationship between facts. For example, Newton’s Law of Gravity is a mathematical equation that can be used to predict the attraction between bodies, but it is not a theory to explain how gravity works. Stephen Jay Gould wrote that "...facts and theories are different things, not rungs in a hierarchy of increasing certainty. Facts are the world's data. Theories are structures of ideas that explain and interpret facts.
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Consider an airplane patterned after the fairchild republic a-10links to an external site., a twin-jet attack aircraft. the airplane has the following characteristics: wing area
step: 1 of 16
The static thrust is defined as such a force which is developed and applied by the jet engine on the surrounding air or earth when the airplane is at rest condition.
Power is defined as the rate of doing work with respect to time. Power is a scalar quantity and having no direction. The unit of power is J/s or watt in an hour(w) .
The expression to calculate the resultant power Ps is,
PRETV …… (1)
Here, Ps is the required power, T R is the required thrust and is the velocity of the airplane at a certain altitude.
The expression for the actual power for two engines is,
P, = 2(TV) …… (2)
Here, т. is the actual thrust and is the velocity of the airplane for a given altitude.
step: 2 of 16
Write the expression for the thrust of an airplane.
TRE W CIC) …… (3)
Here, T R is the required thrust, W is the weight of the airplane, с. is the lift polar coefficient of the airplane and Ср is the drag polar coefficient of the plane.
Write the expression for the lift polar coefficient of the airplane.
W C 1 2P. Vis …… (4)
Here, P is the air density, is the velocity of the airplane for a given altitude and S is the wing area.
Write the expression for drag polar coefficient.
C, = CD,0 + C πε(AR) …… (5)
Here, Сро is the zero-lift drag coefficient, is the Oswald’s efficiency factor and AR is the aspect ratio.
It is clear from the power required curve that maximum velocity at the altitude at 5 km is
Hence, the required maximum velocity at the altitude of 5 km is295 m/s.
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List in order first three steps to square a board
Answer:
STEP1 Cut to Rough Length
STEP2 Cut to Rough Width
STEP 3 Face-Jointing
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Sound cards have a __________ to help analog devices connect and communicate with the computer
Sound cards have a audio interface to help analogy devices connect and communicate with the computer.
What is analogy devices?Analogy devices are figures of speech that compare two unrelated things in order to make a point. They are used to explain a concept or idea by using a comparison that is easier to understand. Analogy devices are used to help people better understand the concept being discussed and can be used in speeches, essays, literature, and other forms of communication. An example of an analogy device is the phrase “time is money” which compares two different objects in order to explain that time is valuable and should be used wisely. Analogy devices are helpful in making complex ideas easier to comprehend.
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When driving a commercial motor vehicle safely, it is recommended that you leave at
least one second between your vehicle and the vehicle you are following for each
feet of your vehicle's length.
Answer:
If you are driving below 40 mph, you should leave at least one second for every 10 feet of vehicle length.
A 520-ft–long equal-tangent crest vertical curve
connects tangents that intersect at station 340 + 00 and
elevation 1325 ft. The initial grade is +4.0% and the
final grade is 2.5%. Determine the elevation and
stationing of the high point, PVC, and PVT
The elevation and stationing of the high point, PVC, and PVT of the given vertical curve are;
High Point Station = 342+60
PVT Station = 340+00
PVC Station = 340+00
Elevation of High Point = 1350.0 ft
Elevation of PVT = 1325.0 ft
Elevation of PVC = 1345.0 ft
A 520-ft-long equal-tangent crest vertical curve connects tangents that intersect at station 340 + 00 and elevation 1325 ft. The initial grade is +4.0% and the final grade is 2.5%.
Determine the elevation and stationing of the high point, PVC, and PVT. A vertical curve is used to connect two tangents that have differing slope grades, and it is the arc of a parabola. The parabolic arc's vertex is referred to as the high point of the curve.
PVC (point of vertical curvature) is the point where the parabolic arc starts and the tangent line ends, and PVT (point of vertical tangency) is the point where the parabolic arc ends and the tangent line begins.
Therefore, by considering the given data, we can calculate the elevation and stationing of the high point, PVC, and PVT of the vertical curve in the following way;
Stationing of the curve = 340+00. High point of the curve = L/2 + 340+00 = 520/2 + 340+00 = 342+60PVC = 340+00. Elevation of PVC = Elevation of point of intersection + (Initial grade / 100) x Length of the curve 1325 + (4/100) x 520 = 1345 ft.
Elevation of PVT = Elevation of point of intersection + (Final grade / 100) x Length of the curve 1325 + (2.5/100) x 520 = 1350 ft.
Therefore, the elevation and stationing of the high point, PVC, and PVT of the given vertical curve are;
High Point Station = 342+60
PVT Station = 340+00
PVC Station = 340+00
Elevation of High Point = 1350.0 ft
Elevation of PVT = 1325.0 ft
Elevation of PVC = 1345.0 ft
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