Two sites are being considered for wind power generation. On the first site, the wind blows steadily at 7 m/s for 3000 hours per year. On the second site, the wind blows steadily at 10 m/s for 2000 hours per year. The density of air on the both sites is 1.25 kg/m3 . Assuming the wind power generation is negligible during other times.Calculate the maximum power of wind on each site per unit area, in kW/m2 .

Answers

Answer 1

Solution :

Given :

[tex]$V_1 = 7 \ m/s$[/tex]

Operation time, [tex]$T_1$[/tex] = 3000 hours per year

[tex]$V_2 = 10 \ m/s$[/tex]

Operation time, [tex]$T_2$[/tex] = 2000 hours per year

The density, ρ = [tex]$1.25 \ kg/m^3$[/tex]

The wind blows steadily. So, the K.E. = [tex]$(0.5 \dot{m} V^2)$[/tex]

                                                             [tex]$= \dot{m} \times 0.5 V^2$[/tex]

The power generation is the time rate of the kinetic energy which can be calculated as follows:

Power = [tex]$\Delta \ \dot{K.E.} = \dot{m} \frac{V^2}{2}$[/tex]

Regarding that [tex]$\dot m \propto V$[/tex]. Then,

Power [tex]$ \propto V^3$[/tex] → Power = constant x [tex]$V^3$[/tex]

Since, [tex]$\rho_a$[/tex] is constant for both the sites and the area is the same as same winf turbine is used.

For the first site,

Power, [tex]$P_1= \text{const.} \times V_1^3$[/tex]

            [tex]$P_1 = \text{const.} \times 343 \ W$[/tex]

For the second site,

Power, [tex]$P_2 = \text{const.} \times V_2^3 \ W$[/tex]

           [tex]$P_2 = \text{const.} \times 1000 \ W$[/tex]


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Would you expect the following species in a planar conformation to be aromatic, antiaromatic, or neither?
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True/False Indicate whether the statement is true or false. 11. Electronic leak detectors can only be used to detect CFCs. 12. Disposable cylinders are designed to be used for refrigerant recovery. 13. Refrigerant must be recovered from a leaking system before repairs can be performed. 14. A gauge that reads absolute pressure should be adjusted depending on the elevation. 15. The pressure of a perfect vacuum is 29.92 in. Hg. 16. Both valves need to be closed on a gauge manifold in order to evacuate a system. 17. A decrease in temperature can cause the pressure in a cylinder to increase. 18. Service valves are front seated for normal system operation. 19. The compound gauge measures pressure both above and below atmospheric pressure. 20. Fluorescent leak detectors require the use of a halogen light.

Answers

Answer:11. False 12. True 13. True 14. True 15. True 16. True 17. False 18. False 19. True 20. False

Explanation:

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The statements are determined whether true or false for the refrigerants and Disposable cylinders.

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False. A gauge that reads absolute pressure does not require adjustment based on elevation. Absolute pressure readings are already referenced to a complete vacuum and are not affected by atmospheric pressure changes at different elevations.

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(a) The acceleration of block A is 10 ft/s^2.
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The rate at which an object's velocity with respect to time changes is referred to as accelerating in mechanics. It is a vector quantity to speed (in that they have magnitude and direction). The direction of the net force applied on an item determines the direction of its acceleration. According to Newton's Second Law, the amount of an organism's acceleration is the cumulative result of two causes:

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A burn-off tet wa performed to determine the volume fraction of
contituent in a gla-fiber-reinforced epoxy compoite. The following
obervation were made:
Weight of empty crucible = 47. 6504 g
Weight of crucible and a mall piece of compoite = 50. 1817 g
Weight of crucible and gla after the burn-off = 49. 4476 g
Calculate the weight and volume fraction of gla fiber and epoxy
rein. Aume that the denitie of the fiber and rein are 2. 5 and 1. 2
gl cm3, repectively

Answers

Volume fraction=1.175.        

Explanation:

Given:
Weight of empty crucible=47. 6504 g.
Weight of crucible and piece of composite= 50. 1817 g
Weight of crucible and glass after  burn-off = 49. 4476 g
weight and volume fraction of glass fiber and
epoxy resin=  w glass/w resin

w resin=50. 1817 g- 49. 4476 g = 0.7341 g
w glass=49. 4476 g-47. 6504 g = 1.7972 g

w fraction=1.7972 g/0.7341 g=2.448

                     
Now,
volume of glass fiber=1.7972 g/2.5g/cm^ 3
=0.7188 cm^ 3

volume of epoxy resin=0.7341 g/1.29/cm^ 3
=0.61175 cm^ 3

Volume fraction=v glass/v epoxy resin=0.7188/0.61175cm^ 3
Volume fraction=1.175.            

The volume fraction (percentage by volume) is one way to express the composition of a mixture with a dimensionless quantity; others are the mass fraction (percentage by weight) and mole fraction (percentage by moles)                    

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hah duty to it it hey he h very j is to

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Uo (t) = aqui (t) + az lu; (t) ]2.

a) Evaluate the numerical values of a1, a2 from the test data given. This type of test is known
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1600 Hz?

Answers

The  numerical values  of a2 = 0.002*a1 / 16

The magnitudes of the frequency component at 800 Hz and at

1600 Hz are: 4²a2cos²(800nt) and  8²a2cos²(800nt)cos²(1000nt)

What is the numerical values?

a) To evaluate the numerical values of a1 and a2, we can use the test data given. The measured frequency component at 1000 Hz is 1V, so we can set that as the value of a1cos(1000nt) in the amplifier output equation:

Uo(t) = a1cos(1000nt) + a2[4cos(800nt) + cos(1000nt)]²

The ratio of the frequency components at 500 Hz to that at 1000 Hz is 0.002, so we can use that to find the value of a2:

Uo(t) = a1cos(1000nt) + a2[4cos(800nt) + cos(1000nt)]²

= a1cos(1000nt) + a2[16cos²(800nt) + 8cos(800nt)cos(1000nt) + cos²(1000nt)]

= a1cos(1000nt) + a2(16cos²(800nt) + 8cos(800nt)cos(1000nt) + cos²(1000nt))

The frequency component at 500 Hz is the second harmonic of the 800 Hz component and is given by 16cos²(800nt), so we can compare it to the 1000 Hz component:

16cos²(800nt) = 0.002 * a1cos(1000nt)

a2 = 0.002*a1 / 16

b) Since the input to the amplifier is a sum of cosine functions with different frequencies, the output will also be a sum of cosine functions with the same frequencies, but with different amplitudes.

The 800 Hz component in the input is 4cos(800nt) and is squared in the output equation, so the 800 Hz component in the output will be 4^2a2cos^2(800nt) which is a smaller amplitude than the 800 Hz component in the input.

The 1600 Hz component in the input is created by the product of the 800 Hz component and the 1000 Hz component, which is 8cos(800nt)cos(1000nt) and is squared in the output equation. so the 1600 Hz component in the output will be 8^2a2cos^2(800nt)cos^2(1000nt) which is even smaller than the 800 Hz component in the input.

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a limitation of the family systems model is:

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answer:

A limitation of the family systems model is: A particular family member's needs may be overshadowed by the needs of the system.

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The amount of gain that can be raised or lowered without causing the system to become unstable is referred to as the gain margin.

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Use the formula method to determine the resultant force that this liquid exerts on plate B.
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Answers

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A child having a mass of 50 kg holds her legs up as shown as she swings downward from rest at ?1=30o . Her center of mass is located at point G1 (a radius of 2.8 m from the origin). When she is at the bottom position of ?=0o , she suddenly lets her legs come down, (approximately instantaneously) shifting her center of mass to position G2 (a radius of 3 m from the origin). Determine her speed in the upswing immediately following the change in the position of her center of mass. (Think about what quantity has changed now that her center of mass is further from origin.) Also find the angle ?2 to which she swings before momentarily coming to rest. Treat the child’s body as a particle. HINT: Think about this problem in 3 phases: 1) Swinging from initial position to vertical position with legs up, 2) Instantaneously bending legs while in vertical position, and 3) swinging from vertical to final position with legs bent.....Answer: v2 = 2.53 m/s, ?2=27o......Please show a clear and understandable solution

Answers

For a kid weighing 50 kg, does she hold her legs up when she swings down from rest at? 1 = 30° and Ф2 = 27°

Fint prior to = 0 T1 9V1 = T2 + V2 0 + 2.8 (1-cos30) (50) 9.81 = 1/2 (50) (50) V12 plus 0 V1 equals 2.713 m/sec

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What are measurements?

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When understanding scales, the number on the left relates to the measurement of the drawing, while the number on the right represents the actual size of the object.

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Answers

Answer: 1960s

Explanation:

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Answers

according to the given statement, The flow is unsteady, caused by the periodic term c*cos(omega*t).

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At x=0:

dT/dt = -300 c sin(100t)

At x=4:

dT/dt = -120 c sin(100t)

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K-means clustering is a method of clustering observations (data items) into groups (clusters) based on their similarity. The number of clusters is a user-specified parameter, typically denoted by "k".

How K-means clustering method works?

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Solve the differential equation by variation of parameters. (Use C1 and C2 as arbitrary constants.)
y'' − 16y = 16x/e^4x

Answers

Refer to the attached images. Final answer is circled.

The cantilevered rectangular bar is subjected to the force of 5 kip. Determine the principal stress at point A and B

Answers

To determine the principal stress at point A and B on a cantilevered rectangular bar subjected to a force of 5 kip, a detailed analysis of the structure would need to be performed.

Principal Stress Calculation-Rectangular Bar

Involve determining the distribution of stresses throughout the bar due to the applied load, and then determining the maximum and minimum principal stresses at points A and B.

Assuming a rectangular cross section, The principal stresses can be calculated by Mohr's Circle. The equations for principal stresses are:

σ1 = (σx + σy + √((σx - σy)² + 4τxy²))/2

σ2 = (σx + σy -√((σx - σy)² + 4τxy²))/2

Where, σx and σy are the normal stresses, and τxy is the shear stress.

It is important to note that the analysis would also require information about the material properties, cross-sectional dimensions, and boundary conditions of the bar, as well as a detailed understanding of the loading conditions and any other factors that may affect the distribution of stresses in the structure.

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PROBLEM 6.32 For The Given Loading, Determine The Zero - Force Members In Each Of The Two Trusses Shown.

Answers

For The Given Loading, Truss A: AB, CD, EF ,Truss B: AB, CD, EF, GH .

What is force ?

A push is an effect that can alter an object's motion according to physics. A force may cause an object with mass to accelerate when it changes its velocity, for as when it drifts away from rest. A known way to describe force is as a push or a pull. A vector quantity, it has both direction and magnitude. It is computed using the newton SI unit (N). Force is represented by the letter F. (formerly P).

What force is the strongest?

The four forces are the electromagnetic force, gravity, the weak nuclear force, and the strong nuclear force, in that order.

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In Assembly Language Please Write a program called "NumAverage" that inputs numbers (non-zero positive integers) from a user, averages those numbers, and then displays the result.The program should keep asking for new numbers until the user enters "q" (for quit) or any other character. At that time, the program should average all the numbers entered and display the result. You will need a counter to keep track of the how many numbers are entered. Make sure you display adequate instructions on how the program works. Also display an informative output.
Example: Enter a number: 32
Enter a number: 18
Enter a number: 10
Enter a number: q
The average of your numbers is: 20
================================
For ex write in java language
int sum =0 ; int i =0;
while (input != 'q'){
print(" Enter a number :");
input=next.Int();
sum =input + sum;
i++;}
print ("average number" + ( sum /i) );

Answers

To write a program called "NumAverage" that inputs numbers (non-zero positive integers) from a user, averages those numbers, and then displays the result, check the code given below.

What is program?

A specific type of data made up of characters, numbers, and strings must be processed by programmers in order for the results to be useful, so programming languages are created and designed to assist in this process. The term "programme" refers to a collection of instructions that process data.

.MODEL SMALL

.DATA

       VAL1    DB      ?

       NL1     DB      0AH,0DH,'ENTER HOW MANY NO U WANT:','$'

       NL2     DB      0AH,0DH,'ENTER NO:','$'

       cmp    0AH,Q

       jmp

       NL3     DB      0AH,0DH,'AVEARGE:','$'

.CODE

MAIN    PROC

       MOV AX,(atsymbol)DATA

       MOV DS,AX

       LEA DX,NL1

       MOV AH,09H

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       MOV AH,01H

       INT 21H

       SUB AL,30H

       MOV CL,AL

       MOV BL,AL

       MOV AL,00

       MOV VAL1,AL

LBL1:

       LEA DX,NL2

       MOV AH,09H

       INT 21H

       MOV AH,01H

       INT 21H

       SUB AL,30H

       ADD AL,VAL1

       MOV VAL1,AL

       LOOP LBL1

LBL2:

       LEA DX,NL3

       MOV AH,09H

       INT 21H

       MOV AX,00

       MOV AL,VAL1

       DIV BL

       ADD AX,3030H

       MOV DX,AX

       MOV AH,02H

       INT 21H

       MOV AH,4CH

       INT 21H

MAIN    ENDP

       END     MAIN

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Luna drew a scale drawing of the high school. The parking lot, which is 54 meters wide in real life, is 102 centimeters wide in the drawing. What scale did luna use?.

Answers

Luna drew a scale drawing of the high school. The parking lot, which is 54 meters wide in real life, is 102 centimeters wide in the drawing. Scale drawings are used to draw shapes in a different proportional size and the scale used in the drawing is 17 centimeters : 9 meters

How to calculate the drawing's scale

The answer to the question is:

54 meters is the actual length.

Size of the scale is 102 centimeters.

The scale is thus:

Scale length equals real length.

This results

Scale: 54 meters at 102 millimeters.

shrink the scale

Scale: 9 meters = 17 millimeters

Your question is incomplete but most probably your full question was

Luna drew a scale drawing of the high school. The parking lot, which is 54 meters wide in real life, is 102 centimeters wide in the drawing. What scale did Luna use? 17 centimeters:___meters

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A pipeline, used for the transport of crude oil, is buried in the earth such that its centerline is a distance of 1.5m below the surface. The pipe has an outer diameter of 0.5 m and is insulated with a layer of cellular glass 100 mm thick. What is the heat loss per unit length of pipe when heated oil at 120 C flows through the pipe and the surface of the earth is at a temperature of 0 C?

Answers

To get the heat loss of an entire building, you divide the building into areas that have the same U value, and then add them all up to get the total heat loss.

How do you calculate heat loss?

Q=U*A*T, or more simply put, the heat loss of an area of size A is determined by the U value of the materials and the temperature difference between inside and outside (i.e., the temperature difference between the two surfaces, not the two air temperatures).

You must divide a building into sections with the same U value in order to calculate the overall heat loss for the entire structure.

Thermal conductivity is the ability of an object to transfer thermal energy into another object when it comes into touch with one that is at a lower temperature. A cylinder's energy transfer rate while its contents are at high temperatures

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2 psia is equivalent to

A. 29 in. Hg.

B. 28 in. Hg.

C. 27 in. Hg.

D. 26 in. Hg.

Answers

In order to determine absolute pressure, a complete vacuum is used. While the average atmospheric surface pressure is approximately 14.7 PSIA.

The pressure in a vessel absolutely devoid of any air molecules would be 0 PSIA. PSIA stands for absolute pounds per square inch. Absolute pressure is the pressure exerted with relation to absolute zero or vacuum. Engineering documents or P&IDs might employ PSIA. Pounds per square inch gauge is referred to as PSIG. PSIA is a word used to describe absolute pressure in PSI, which includes atmospheric pressure. "Total pressure" is another name for absolute pressure. We add 14.7 PSI since this atmospheric pressure is comparable to 14.7 PSI at sea level. Higher heights have lower atmospheric.

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In the figure, G1 is represented by which numbered part(s) of the cycle?

Answers

According to the figure, G1 is represented by parts 4, 5, and 6 numbered part(s) of the cycle.

What is numbered part?
Numbered parts
are individual parts of a larger item that are identified by a unique numerical identifier. This number can be used to easily locate and identify the part within the larger item. Numbered parts are often used in complex systems, such as machines, tools, vehicles, and buildings, where multiple components must be located and identified quickly and accurately. For example, a car engine may have hundreds of different numbered parts, each with its own unique identifier. Numbered parts also make it easier for manufacturers to track and inventory the parts used in their products. This helps them to ensure that the right parts are in place and available when they are needed.

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. There are given three numbers: A, B and C. Even if one of them equal 5 output TRUE, othewise output FALSE.​

Answers

This can be achieved through a variety of programming languages, here's an example using Python:

A = 4

B = 5

C = 6

if A == 5 or B == 5 or C == 5:

   print("TRUE")

else:

   print("FALSE")

What is a programming language?

A formal language with many instructions is referred to as a programming language. These guidelines are presented to find different outputs. Computer programs are the main use of programming languages. A set of guidelines are presented to ensure the computer's proper operation.

Programming languages are used to control the external devices. In this example, the code checks if any of the variables A, B, or C is equal to 5. If any of them are, the code will output "TRUE", otherwise it will output "FALSE".

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Given: A homogeneous quarter-circle block (with a radius of
R
and a weight of
W
) is supported by a rough, horizontal floor, as shown.. A force
P
is applied to the block at corner
B
. Find: For this problem: a) Determine the
x
-location of the normal force acting on the block by the floor. Express your answer in terms of
R
. b) What is the minimum coefficient of static friction between the block and ground,
μ
s


, that is required to prevent motion of the block? c) Is the block in a state of impending slipping or tipping for the value of
μ
s


found in b) above? Explain. For this problem, use:
P=W

Answers

When a circle is divided into four equal parts, each part is called the quarter of a circle.

What is meant by quarter circle?

A circle is a geometric shape that represents the path all of those points take while being equally distance from the circle's centre. A circle's quarter represents one-fourth of the entire circle. As a result, the area of a quarter circle represents the fourth of a circle's total area.

The area of the circle, A = r2 if the radius of the circle is r, follows.

The area of a quarter circle is then equal to A times 14 to get r2/4.

Therefore, the coordinates of a quarter ring's centre of mass in the first quadrant are (XCM,YCM)=(2R,2R). Note: Always consider a small mass when determining the centre of mass.

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