The project has a cost variance of -$10,000 and a schedule variance of -$10,000. The cost performance index is 0.75, indicating that the project is performing worse than planned. The schedule performance index is also 0.75, indicating that the project is behind schedule. The project is over budget, as the actual cost is higher than the planned value. The Estimate at Completion (EAC) for the project is $200,000, indicating that the project is performing worse than planned. It is estimated that the project will take an additional 8 months to finish.
The cost variance (CV) is calculated by subtracting the actual cost (AC) from the planned value (PV). In this case, CV = PV - AC = $30,000 - $40,000 = -$10,000. The negative value indicates that the project is over budget.
The schedule variance (SV) is calculated by subtracting the planned value (PV) from the earned value (EV). Since the rate of performance (RP) is given as 70%, the earned value can be calculated as EV = RP * BAC = 0.70 * $150,000 = $105,000. Therefore, SV = EV - PV = $105,000 - $30,000 = $75,000 - $30,000 = -$10,000. Again, the negative value indicates that the project is behind schedule.
The cost performance index (CPI) is calculated by dividing the earned value (EV) by the actual cost (AC). CPI = EV / AC = $105,000 / $40,000 = 0.75. Since CPI is less than 1, it means that the project is performing worse than planned in terms of cost.
Similarly, the schedule performance index (SPI) is calculated by dividing the earned value (EV) by the planned value (PV). SPI = EV / PV = $105,000 / $30,000 = 0.75. Again, since SPI is less than 1, it means that the project is behind schedule.
Based on the AC, the project is over budget because the actual cost is higher than the planned value.
The Estimate at Completion (EAC) is calculated by dividing the budget at completion (BAC) by the cost performance index (CPI). EAC = BAC / CPI = $150,000 / 0.75 = $200,000. Since the EAC is higher than the BAC, it indicates that the project is performing worse than planned.
To estimate how long it will take to finish the project, you need to calculate the schedule performance index (SPI) and use it to determine the time remaining. Since SPI is 0.75, it means that only 75% of the work has been completed in the first two months. Therefore, it is estimated that the project will take an additional 8 months (100% - 75%) to finish.
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Dilute countercurrent immiscible extraction
A feed of 100.0 kg/min of a 1.2 wt % mixture of acetic acid in water is to be extracted with 1-butanol at 1 atm pressure and 26.7°C, we desire an outlet concentration of 0.1 wt % acetic acid in the exiting water. We have available solvent stream 1 that is 44.0 kg/min of pure 1-butanol and solvent stream 2 that is 30.0 kg/min of 1-butanol that contains 0.4 wt % acetic acid. Devise a scheme to do this separation, find the outlet flow rate and concentration of the exiting 1-butanol phase, and find the number of equilibrium contacts needed.
In Example we assumed that we were going to use all of the solvent available. There are other alternatives. Determine if the following alternatives are capable of producing outlet water of the desired acetic acid concentration.
a. Use only the pure solvent at the bottom of the extractor.
b. Mix all of the pure and all of the impure solvent together and use them at the bottom of the column.
c. Mix all of the pure and part of the impure solvent together and use them at the bottom of the column.
which option identifies the type of engineer described in the following scenario? sean is an engineer whose current project is a skyscraper in richmond, va. he relies heavily on geometry in his research of building design.
The option that identifies the type of engineer described in the following scenario is a structural stability. So, option B is accurate.
What is a skyscraper?A skyscraper is a tall building that has multiple floors, and it is often found in a city. In the early days, tall buildings were constructed with steel frames and are now typically made of reinforced concrete or steel. The main aim of a skyscraper is to give a lot of usable space on a small amount of land.
The building design described in the scenario is likely a "skyscraper" or a tall building in Richmond, VA. The engineer, Sean, relies heavily on geometry in his research of building design, which suggests that the design of the building involves complex geometric calculations and considerations. Skyscrapers are typically characterized by their height and often require advanced engineering techniques and calculations, including geometry, to ensure structural stability and safety.
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The actual question is:
Which option identifies the building design described in the following scenario?
Sean is an engineer whose current project is a skyscraper in Richmond, VA. He he relies heavily on geometry in his research of building design.
A) improper balance
B) structural stability
C) Symmetry
D) intricate patterns
1. An air standard cycle is executed within a closed piston-cylinder system and consists of three processes as follows:1-2 = constant heat addition from 100 kPa and 27∘C to 700 kPa 2-3 Isothermal expansion until V3 = 7v23-1 P = constant heat rejection to the initial state2. Assume air has constant properties with cv = 0.718 kJ/kg K, cp = 1.005 kJ/kg K, R = 0.287 kJ/kg K, and k = 1.4.(a) Sketch the P- and T-s diagrams for the cycle.(b) Determine the ratio of the compression work to the expansion work (the back work ratio).(c) Determine the cycle thermal efficiency.
Answer:
Explanation: Here it is: 67 Hope that helps! :)
today, it can be problematic to have only a single ipv6 stack because ________.
Today, it can be problematic to have only a single IPv6 stack because IPv6 adoption is increasing rapidly, and having only one stack can lead to a lack of redundancy and resiliency in network communications.
Additionally, having multiple IPv6 stacks allows for better load balancing and fault tolerance, ensuring that network traffic can continue to flow even in the event of a failure in one of the stacks. Furthermore, as IPv6 continues to evolve and new features are added, having multiple stacks allows for easier testing and implementation of these new features without disrupting existing network communications.
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Provide a reasonable description of the sample space for each of the random experiments in Exercises 2-1 to 2-17. There can be more than one acceptable interpretation of each experiment. Describe any assumptions you make. Each of three machined parts is classified as either above or below the target specification for the part. Let a and b denote a part above and below the specification, respectively.S = {aaa, aab, aba, abb, baa, bab, bba, bbb}
It is believed that there are only two possibilities classifications for each component: above or below the goal specification.
How do you describe potential?Legislation can communicate possibility using verb tenses like can, could, may, and could as well as statements that contain the words likely, feasible, and its derivatives. There's a slight chance I'll miss the performance. "There are endless chances with your new job."
Should a possibility be expressed?Should and ought to can be used to refer to things that are likely to occur, anticipated to occur, or true: By this afternoon, we should/ought to be finished. You ought to hear back within the following week.
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A balanced Δ-connected load consisting of a pure resistance of 16 Ω per phase is in parallel
with a purely resistive balanced Y-connected load of 13 Ω per phase as shown in Figure below.
The combination is connected to a three-phase balanced supply of 346.41-V rms (line-to-line)
via a three-phase line having an inductive reactance of j3 Ω per phase. Taking the phase
voltage Van as reference, determine
a) The current, real power, and reactive power drawn from the supply.
b) The line-to-neutral and the line-to-line voltage of phase a at the combined load terminals.
The three-phase line voltage is given as 346.41 Vms
The real power drawn from the supply is given as 19.2kW
What is Line Voltage?"Line voltage" refers to the voltage level that is supplied to a building or facility by the power company's electrical grid. In the United States, the standard line voltage for residential and commercial buildings is 120 volts or 240 volts, depending on the type of electrical service provided.
Line voltage is also sometimes referred to as "mains voltage" or "utility voltage." The term "line-to-line voltage" is used to describe the voltage difference between two phases of a three-phase electrical system.
In summary, line voltage is the electrical voltage level that is supplied to a building or facility from the power company's electrical grid.
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Anew student in your class has something different about his appearance. No one wants to sit beside him. You step forward and decide to sit next to him and make him feel comfortable and welcoming. This is an example of:
Answer:
approaching a lady or a man
There are several books placed in the HackerStudy library. One of those books on mathematics described an interesting problem that a mathematician wishes to solve. For an array arrofnintegers, the mathematician can perform the following move on the array: 1. Choose an indexi(0≤i
Using the knowledge of computational language in python it is possible to write a code that There are several books placed in the HackerStudy library.
Writting the code:include<iostream>
using namespace std;
long getMaximumScore(int arr[],int k,int n)
{
long count=0,sum=0;
for(int i=0;i<n-1;i++)
{
for(int j=0;j<n-i-1;j++)
{
if(arr[j+1]>arr[j])
{
arr[j+1]=arr[j+1]+arr[j];
arr[j]=arr[j+1]-arr[j];
arr[j+1]=arr[j+1]-arr[j];
}
}
}
for(int i=0;i<n;i++)
{
if(count==k)
return sum;
else
{
sum=sum+arr[i];
count++;
}
}
}
int main()
{
int n,k;
cin>>n;
int arr[n];
for(k=0;k<n;k++)
cin>>arr[k] ;
cin>>k;
cout<<getMaximumScore(arr,k,n);
return 0;
}
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Consider the following classes.
public class Bird
{
public void sing()
{
System.out.println("Cheep");
}
}
public class Duck extends Bird
{
public void sing()
{
System.out.println("Quack");
}
}
public class Chicken extends Bird
{
// No methods defined
}
public class Rooster extends Chicken
{
public void sing()
{
System.out.println("Cockadoodle doo");
}
}
The following statement appears in a method in another class.
someBird.sing();
Under which of the following conditions will the statement compile and run without error?
When someBird has been declared as type Duck
When someBird has been declared as type Chicken
When someBird has been declared as type Rooster
A: I only
B: III only
C: I and II only
D: I and III only
E: I, II, and III
The statement "someBird.sing();" will compile and run without error under the conditions when "someBird" has been declared as type Duck or type Rooster. Therefore, the correct answer is option D: I and III only.
What is the rationale for the above response?The classes Duck and Rooster have overridden the "sing" method of the parent class Bird, whereas the class Chicken has not defined the "sing" method.
Therefore, if "someBird" is declared as type Duck or type Rooster, the compiler will know that these classes have the "sing" method and will use the overridden method. If "someBird" is declared as type Chicken, it will still compile, but it will use the "sing" method of the parent class Bird since Chicken does not override this method.
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Which of the following is not a characteristic of an external combustion engine?
A. External pistons are used.
B. Fuel is sent directly to the engine.
C. Boiler burns fuel to produce steam.
D. Steam is sent to the engine to produce power.
The pyramids in Egypt are cited as an ancient world wonder. What is the main
reason that the pyramids are important to the study of engineering?
The pyramids are important to the study of engineering because they were some of the first structures built using engineering principles. The pyramids are an example of how engineering can be used to create amazing structures.
What is pyramid?
A pyramid is a structure with triangular exterior surfaces that converge to a single step at the summit, giving the shape the shape of a pyramid in the geometric sense. A pyramid's base can be trilateral, quadrilateral, or any polygon shape. A pyramid, as a result, has at least three exterior triangle surfaces. A typical variant is the square pyramid, which has a square base and four triangular exterior surfaces. The design of a pyramid, with the majority of the weight closer to the bottom and the pyramidion at the apex, means that less material will be pushed down from above. This weight distribution enabled early civilizations to build stable massive constructions.
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A germanium diode carries a current of 1 mA at room temperature when a forward bias of 0.15v is applied. Estimate the reverse saturation current at room temperature.
Which of the following statements correctly declare and initialize an array? (check all that apply) int[] numbers = new char(15); char letters - new char[26]; char[26] letters = new chari: char[] letters = new char[]{'a', 'b', 'd'); int[] numbers = {1, 2, 3, 4); Consider the following array.
Among the given statements options, the correctly declare and initialize an array are:
char[] letters = new char[26];char[] letters = new char[]{'a', 'b', 'd'};int[] numbers = {1, 2, 3, 4};What is the array?An array is a way to hold a set number of items with the same characteristics as a single unit in a data structure. It offers a means to consolidate numerous values with identical data types into a solitary variable designation.
To retrieve a specific element from an array, its position within the array needs to be indicated through a non-negative integer known as the index.
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See text below
Consider the following array. float scores - new float(5):
What color is a board sternlight
We can infer and logically deduce that the color of a boat's sternlight is white.
What is a sternlight?A sternlight can be defined as a white light that is designed and developed to be placed as closely as possible and practical with the stern shining continuously (constantly).
By default, a sternlight is typically affixed to the boat in such a way that the light will shine out at an angle of 135 degrees (135°) from the back of the boat.
In this context, we can infer and logically deduce that the color of a boat's sternlight is white and it avails sailors and other persons the opportunity of determining and knowing the direction that a boat (vessel) is moving.
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Complete Question:
What color is a boat sternlight?
A projectile is fired downward with initial speed v0 in an experimental fluid and experiences an acceleration a = σ - ηv2, where σ and η are positive constants and v is the projectile speed. Determine the distance y traveled by the projectile when its speed has been reduced to 0.59v0. Also, determine the terminal velocity vf of the projectile. Evaluate for σ = 1.86 m/s2, η = 0.19 m-1, and v0 = 5.6 m/s.
In this problem, we are given the terminal velocity \(V_f\) of a projectile, and we need to determine the distance traveled by the projectile when its speed has been reduced to 0.59\(V_0\). We are also given the equation for the terminal velocity of the projectile, which relates the dynamic viscosity η and the characteristic dimension σ to the terminal velocity \(V_f\).
The terminal velocity of the projectile is \(V_f\) = 3.90 m/s.
The equation for the terminal velocity of the projectile is:
σ = η\(V_f2\)
where:
\(V_f\) is the terminal velocity of the projectile
σ is the characteristic dimension of the projectile
η is the dynamic viscosity of the fluid through which the projectile is traveling
By solving for \(V_f\) in this equation, we can determine the terminal velocity of the projectile.
The distance traveled by the projectile when its speed has been reduced to 0.59\(V_0\) is given by:
y = \(V_0\) / 2σ ∫ 0 0.59\(V_0\) (σ - η\(V_2\)) dv
where:
y is the distance traveled by the projectile
\(V_0\) is the initial velocity of the projectile
σ is the characteristic dimension of the projectile
η is the dynamic viscosity of the fluid through which the projectile is traveling
y = \(V_0\) / 2σ ∫ 0 0.59\(V_0\) (σ - η\(V_2\)) dv
y = \(V_0\) / 2σ [(σv - η/3\(V_3\)) | 0 to 0.59\(V_0\)]
y = \(V_0\) / 2σ [1.86(0.59\(V_0\)) - 0.19(1/3)(0.59\(V_0\))3]
y = \(V_0\) / 2σ [1.1\(V_0\) - 0.0073\(V_03\)]
y = 0.527\(V_0\)
Therefore, for \(V_0\) = 5.6 m/s, the distance traveled by the projectile when its speed has been reduced to 0.59\(V_0\) is y = 2.937 m.
The terminal velocity \(V_f\) of the projectile is given by the equation:
σ = ηvf2
\(V_f\) = √(σ / η)
\(V_f\) = √(1.86 / 0.19)
\(V_f\) = 3.90 m/s
Therefore, the terminal velocity of the projectile is \(V_f\) = 3.90 m/s.
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a list of numbers has n elements, indexed from 1 to n. the following algorithm is intended to display the number of elements in the list that have a value greater than 100. the algorithm uses the variables count and position. steps 3 and 4 are missing. step 1 set count to 0 and position to 1. step 2 if the value of the element at index position is greater than 100, increase the value of count by 1. step 3 (missing step) step 4 (missing step) step 5 display the value of count. which of the following could be used to replace steps 3 and 4 so that the algorithm works as intended?
To complete the algorithm, the missing steps 3 and 4 should iterate through the list until the end is reached. This can be achieved with a loop. Here is a possible solution:
Step 3: while position is less than or equal to n, repeat steps 4 and 5.
Step 4: increase the value of position by 1.
Step 5: if the value of the element at index position is greater than 100, increase the value of count by 1.
This revised algorithm will go through each element in the list and count the number of elements with a value greater than 100. The loop in steps 3-5 ensures that all elements are considered.
It is worth noting that there are other ways to implement this algorithm, such as using a for loop or a foreach loop, but the core logic remains the same: iterate through the list and count the elements that meet a certain condition.To complete the algorithm that counts the number of elements in a list with values greater than 100, you can replace steps 3 and 4 with the following:
Step 3: Increase the value of position by 1.
Step 4: If position is less than or equal to n, go back to step 2.
So, the complete algorithm is as follows:
1. Set count to 0 and position to 1.
2. If the value of the element at index position is greater than 100, increase the value of count by 1.
3. Increase the value of position by 1.
4. If position is less than or equal to n, go back to step 2.
5. Display the value of count.
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A box contains ten cards labeled Q, R, s, I, U, v, w, x, y, and z. One card will be
randomly chosen.
What is the probability of choosing a letter from U to Z?
Write your answer as a fraction in simplest form. ??
Answer: 3/5
Explanation:
The probability of an event is
(number of ways an event can happen)/(number of ways anything can happen)
There are 6 ways to choose a card from U to Z. You can draw U,V,W,X,Y, or Z.
There are 10 total cards. So, the probability is 6/10=3/5.
When an inside corner is being welded in the horizontal position, undercutting can be decreased or prevented by?
Answer:
By using a forward-inclined half-moon torch position, stopping momentarily at each end of the weld pool
Explanation:
By using a forward-inclined half-moon torch position, stopping momentarily at each end of the weld pool
Adjusting welding parameters, using appropriate electrode size, and maintaining proper torch angle can prevent undercutting in horizontal
welding of an inside corner.
We have,
When an inside corner is being welded in the horizontal position, undercutting can be decreased or prevented by adjusting the welding parameters, such as:
- Controlling Welding Parameters:
Adjusting the welding parameters is crucial in preventing undercutting.
It involves regulating the welding current, voltage, and travel speed.
- Selecting Appropriate Electrode Size:
Choosing the right electrode size is essential to control the heat generated during the welding process.
Smaller electrode diameters generally provide lower heat input, which can help prevent undercutting.
- Maintaining Proper Torch Angle and Manipulation Techniques:
Keeping the correct torch angle during welding is crucial to control the weld pool and metal deposition.
- reducing the welding current and travel speed
- using the appropriate electrode size
- maintaining proper torch angle and manipulation techniques.
Thus,
Adjusting welding parameters, using appropriate electrode size, and maintaining proper torch angle can prevent undercutting in horizontal welding of an inside corner.
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A 2-m-internal-diameter spherical tank made of 0.5-cm-thick stainless steel (k = 15 W/m·K) is used to store iced water at 0°C in a room at 20°C. The walls of the room are also at 20°C. The outer surface of the tank is black (emissivity ε = 1), and heat transfer between the outer surface of the tank and the surroundings is by natural convection and radiation. Assuming the entire steel tank to be at 0°C and thus the thermal resistance of the tank to be negligible, determine
(a) the rate of heat transfer to the iced water in the tank and
(b) the amount of ice at 0°C that melts during a 24-h period. The heat of fusion of water is 333.7 kJ/kg. Now, consider a 2-m internal diameter double- walled spherical tank configuration is used instead to store iced water at 0°C in a room at 20°C. Each wall is 0.5 cm thick, and the 1.5-cm-thick air space between the two walls of the tank is evacuated in order to minimize heat transfer. The surfaces surrounding the evacuated space are polished so that each surface has an emissivity of 0.15. The temperature of the outer wall of the tank is measured to be 20°C. Assuming the inner wall of the steel tank to be at 0°C, determine
(c) the rate of heat transfer to the iced water in the tank for this double-walled tank configuration and
(d) the amount of ice at 0°C that melts during a 24-h period for this double-walled tank configuration.
Answer:
a. 6.48 kW b. 1678.34 kg c. 777.92 W d. 201.42 kg
Explanation:
(a) the rate of heat transfer to the iced water in the tank
The rate of heat transfer to the outer surface of the spherical tank is P = P₁ + P₂ where P₁ = rate of heat transfer to the outer surface by radiation and P₂ = rate of heat transfer to the outer surface by convection through air
P₁ = εσAT⁴ where ε = emissivity of outer surface ε= 1, σ = Stefan-Boltzmann constant = 5.67 × 10⁻⁸ W/m-K⁴, A = area of outer surface of spherical tank = 4πR² where R = outer radius of spherical tank = inner radius + thickness = inner diameter/2 + 5 cm = 2 m/2 + 0.05 m = 1 m + 0.05 m = 1.05 m and T = temperature of surroundings = 20 °C = 273 + 20 = 293 K.
P₁ = εσAT⁴
P₁ = 1 × 5.67 × 10⁻⁸ W/m-K⁴ × 4π(1.05 m)² × (293 K)⁴
P₁ = 1 × 5.67 × 10⁻⁸ W/m-K⁴ × 4π(1.1025 m²) × 7370050801 K⁴
P₁ = 184285909263.7647π × 10⁻⁸ W
P₁ = 578951258703.16 × 10⁻⁸ W
P₁ = 5789.51 W
P₂ = hA(T - T₁) where h = coefficient of thermal convection of air = 2.5 W/m²-K, A = outer surface area of spherical tank = 4πR², T = temperature of surroundings = 20 °C = 273 + 20 = 293 K and T₁ = temperature of outer surface of spherical tank = 0 °C = 273 + 0 = 273 K.
P₂ = hA(T - T₁)
P₂ = 2.5 W/m²-K × 4π(1.05 m)² × (293 K - 273 K)
P₂ = 2.5 W/m²-K × 4π(1.1025 m²) × 20 K
P₂ = 220.5π W
P₂ = 692.72 W
So, P = P₁ + P₂ = 5789.51 W + 692.72 W = 6482.23 W
Since we are neglecting the thermal resistance of the spherical tank, the rate of heat absorption of the outer surface equals the rate of heat absorption in the inner surface. The rate of heat absorption at the inner surface equals the rate of heat transfer to the iced water.
So, rate of heat transfer to the iced water = P = 6482.23 W = 6.48223 kW 6.48 kW
(b) the amount of ice at 0°C that melts during a 24-h period. The heat of fusion of water is 333.7 kJ/kg.
Since the amount of heat, Q = Pt where P = heat transfer rate to iced water = 6482.23 W and t = time = 24 h = 24 h × 60 min/h × 60 s/min = 86400 s.
Also, Q = the latent heat required to melt the ice at 0 °C = mL where m = mass of ice melted and L = latent heat of fusion of ice = 333.7 kJ/kg
So, Pt = mL
m = Pt/L
= 6482.23 W × 86400 s/333.7 × 10³ J/kg
= 560064672/333.7 × 10³
= 1678.34 kg
(c) the rate of heat transfer to the iced water in the tank for this double-walled tank configuration
Since P is the rate of heat transfer to the outer surface, this is also the rate of heat transfer to the outer 0.5 cm thick wall = P₃ = 6482.23 W
P₃ = kA(T - T₃)/d where k = thermal conductivity of outer wall = 15 W/m²-K
A = surface area of outer wall = 4πR'² where R' = radius of outer wall = radius of inner wall + thickness of inner wall + thickness of vacuum + thickness of outer wall = 2.0 m/2 + 0.5 cm + 1.5 cm + 0.5 cm = 1 m + 2.5 cm = 1 m + 0.025 m = 1.025 m, T = temperature of surroundings = 20 °C = 273 + 20 = 293 K, T₃ = temperature of inner surface of outer wall of spherical tank and d = thickness of outer surface of tank = 0.5 cm = 0.05 m
P₃ = kA(T - T₃)/d
making T₃ subject of the formula, we have
P₃d = kA(T - T₃)
P₃d/kA = (T - T₃)
T₃ = T - P₃d/kA
substituting the values of the variables into the equation, we have
T₃ = 293 K - 6482.23 W × 0.05 m/[15 W/m-K × 4π(1.025 m)²]
T₃ = 293 K - 324.1115 Wm/[15 W/m-K × 4π(1.050625 m²)]
T₃ = 293 K - 324.1115 Wm/[63.0375π W/m-K)]
T₃ = 293 K - 324.1115 Wm/[198.0381 W/m-K)]
T₃ = 293 K - 1.64 K
T₃ = 291.36 K
Since the 1.5 cm thick air space is evacuated, all the heat gets to the inner 0.5 cm thick wall by radiation.
So P = εσAT₃⁴
P₄ = εσAT₃⁴ where ε = emissivity of outer surface ε = 0.15, σ = Stefan-Boltzmann constant = 5.67 × 10⁻⁸ W/m-K⁴, A = area of inner surface of outer wall of spherical tank = 4πR"² where R" = outer radius of inner thick wall of spherical tank = inner radius + thickness of inner wall = inner diameter/2 + 0.5 cm = 2 m/2 + 0.005 m = 1 m + 0.005 m = 1.005 m and T = temperature of outer wall = 291.36 K.
P₄ = 0.15 × 5.67 × 10⁻⁸ W/m-K⁴ × 4π(1.005 m)² × (291.36 K)⁴
P₄ = 0.15 × 5.67 × 10⁻⁸ W/m-K⁴ × 4π(1.010025 m²) × 7206422389.51 K⁴
P₄ = 24762024365.028π × 10⁻⁸ W
P₄ = 77792193833.18 × 10⁻⁸ W
P₄ = 777.92 W
Now P₄ is the heat transfer rate to the inner surface which is at temperature T₄
Since T₄ = 0 °C, P₄ is the rate of heat transfer to the iced water
So, rate of heat transfer to the iced water P₄ = 777.92 W
(d) the amount of ice at 0°C that melts during a 24-h period for this double-walled tank configuration
Since the amount of heat, Q = P₄t where P₄ = heat transfer rate to iced water = 777.92 W and t = time = 24 h = 24 h × 60 min/h × 60 s/min = 86400 s.
Also, Q = the latent heat required to melt the ice at 0 °C = mL where m = mass of ice melted and L = latent heat of fusion of ice = 333.7 kJ/kg
So, P₄t = mL
m = P₄t/L
= 777.92 W × 86400 s/333.7 × 10³ J/kg
= 67212288/333.7 × 10³
= 201.42 kg
P4 (10 Pts): A flow field is represented by the potential function:
phi = x^5 − 10x^3y^2 + 5xy^4 − x^2 + y^2
Show that this is a possible incompressible flow. Find expressions for the corresponding stream function
and velocity field. Calculate the pressure difference between (x,y) = (0,0) and (2,1).
The corresponding stream function is
psi = 1/6 x^6 - 5/4 x^4y^2 + 5/6 x^2
How to calculate the valueWe can make it incompressible by adding a harmonic function to the potential function. A harmonic function satisfies Laplace's equation, which states that the sum of the second partial derivatives with respect to x and y is zero. Adding a harmonic function to the potential function will not change the velocity field, but it will make the divergence zero.
One way to find a harmonic function to add is to look for a function u(x,y) that satisfies Laplace's equation and that makes the mixed partial derivatives of u and phi equal. That is:
d^2u/dx^2 + d^2u/dy^2 = 0
d^2u/dxdy = d^2phi/dxdy
The second equation implies that:
d^2u/dxdy = -d^2u/dydx = 20x^3 - 20xy^2 + 10y^3
Integrating once with respect to x gives:
du/dy = 5x^4y - 5x^2y^2 + 5/2 y^4 + g(y)
where g(y) is a constant of integration that depends only on y. Taking the derivative with respect to x, we get:
d^2u/dxdy = 20x^3y - 10xy^2 + g'(y)l
Adding this to the original potential function, we get:
phi = x^5 − 10x^3y^2 + 5xy^4 − x^2 + y^2 - 5/2 y^5 + x(5/5 x^4y - 5/3 x^2y^2 + 5/4 y^4)
This potential function gives an incompressible flow, with velocity field:
Vx = - dphi/dy = 20x^3y - 5y^3 - 2x + x(5x^3 - 10xy^2 + 5y^4)
Vy = dphi/dx = 5x^4 - 20x^2y + 10xy^3 + 2y + y(5x^3 - 10xy^2 + 5y^4)
The corresponding stream function can be found by solving the equations:
dpsi/dx = Vy
dpsi/dy = -Vx
This gives: psi = 1/6 x^6 - 5/4 x^4y^2 + 5/6 x^2
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multiple select question select all that apply which of the following are craft unions? multiple select question. electricians plumbers pipe fitters auto workers
Some of the craft unions are listed below: ElectriciansPlumbersPipe fitters. Therefore, the correct answer is A, B, and C.
Auto workers are not part of the craft unions. They belong to industrial unions or trade unions that represent a particular industry or profession.The definition of a craft union is one in which the members are skilled workers who perform particular types of work.
These workers are usually required to undergo an apprenticeship program, which trains them in the craft that they are going to work in. Craft unions are typically focused on workers who have similar skills, and they are often restricted to certain professions or trades.
So, correct options are option A, B, and C.
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Answer:plumbers
pipe fitters
electricians
Explanation:
Soils with low percolation rates do not need special attention during site engineering. select one: true false
It is accurate to say that site engineering does not require particular consideration for soils with low percolation rates.
What are percolation rates?The rate at which water percolates through the soil is a measure of its ability to absorb and treat effluent, or wastewater that has undergone preliminary treatment in a septic tank. Minutes per inch are used to measure percolation rate (mpi). The process of a liquid gently moving through a filter is called percolation. This is how coffee is typically brewed. The Latin verb percolare, which meaning "to strain through," is the source of the word "percolation." When liquid is strained through a filter, such as when making coffee, percolation occurs.To learn more about percolation rates, refer to:
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You are the curator of a museum. The museum is running short of funds, so you decide to increase revenue. Should you increase or decrease the price of admission? Explain
Answer:
Explanation:
If the museum is running short of funds, and you decide to increase revenue. An increase or decrease in the price of admission into the museum depends on the following:
1. If demand for admission into the museum is elastic there are two possible outcomes
a. An increase in the price of admission leads to a decrease in the quantity demand of admission into the museum
b. A decrease in price of admission into the museum leads to an increase in the quantity demand of admission into the museum.
This follows the law of demand which states that "the higher the price, the lower the quantity demanded and the lower the price, the higher the quantity demanded".
2. If the demand for admission into the museum is inelastic, then an increase in price will lead to an increase in revenue of the museum.
Therefore, before the curator increase the price of admission into the museum, he should first determine the price elasticity of demand of the museum.
value : 10.00 points Determine the centroid of the area shown by direct integration. It is given that / = 2a. Y= mx Y =kx2
The centroid of an area can be determined by using the formulas for the x-coordinate and y-coordinate of the centroid. Thus, the centroid of the given area is (a^3/6, m*a^3/6).
How to determine the centroid of the area shown by direct integration?
The centroid of an area can be found by using the following formulas for the centroid's x and y coordinates:
x-coordinate of centroid = (1/A) * ∫xdy
y-coordinate of centroid = (1/A) * ∫ydx
where A is the area of the region, and the integrals are taken over the limits of the area.
Given the equations y = mx and y = kx^2, we can find the x-coordinate and y-coordinate of the centroid as follows:
x-coordinate of centroid = (1/2a) * ∫x*(kx^2) dx from x = 0 to x = a
x-coordinate of centroid = (1/2a) * (1/3) * ∫x^3 dx from x = 0 to x = a
x-coordinate of centroid = (1/2a) * (1/3) * ((a^4)/4)
x-coordinate of centroid = (1/6) * a^3
y-coordinate of centroid = (1/2a) * ∫(mx)*(kx^2) dx from x = 0 to x = a
y-coordinate of centroid = (1/2a) * (m/3) * ∫x^3 dx from x = 0 to x = a
y-coordinate of centroid = (1/2a) * (m/3) * ((a^4)/4)
y-coordinate of centroid = (m/6) * a^3
So, the centroid of the area is (a^3/6, m*a^3/6).
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When you see a school bus stop with its stop sign extended or its lights flashing, you must stop, except for cases when:
Answer:
Whenever you approach a school bus from any direction, which has stopped to pick up or let off passengers while operating its flashing red lights, you must stop your vehicle at least 25 feet from the school bus. The only time you do not have to stop is when you are on the other side of a divided highway. You must stay stopped until the bus has started again or the bus driver stops operating the flashing red lights.
What computer program can you use to publish and share a research project with others?
Excel Charts
Email application
Pie chart program
Word Online
Answer:
Word Online is the program
Which of the following lists the steps of a process in the correct order?
Input, Process, Output, Feedback
Feedback, Process, Output, Input
Input, Output, Feedback, Process
Process, Feedback, Input, Output
The list which gives the steps of a process in the correct order is: A. Input, Process, Output, Feedback.
A process refers to a set of finite steps that must be followed in order to achieve an expected outcome or result in a system.
Generally, there are four (4) main steps in a process and these include the following in a correct order (chronology):
Input: this is the data that is entered into a system.
Process: this is the conversion of a data into useful information.
Output: this is the useful information that are presented to an end user.
Feedback: this is the response that is received from the end users.
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Answer:
A
Explanation:
First you must input your data than you get the process of what that information is. Next is the output when you get the results then you get feedback.
Think of it like making a pizza. you must INPUT the ingredients... Then Cook the pizza (PROCESS) Finally you get the pizza cooked and it's called the output!! Finally, when you sell the pizza, and the customer eats it. Feedback
One: the Church is one. This means that it is a single, united and global Church which has its basis in Christ Jesus. Holy: the Church is holy, because it is the Body of Christ with Jesus as the head. ... Apostolic: the origins and beliefs of the Church started out with the apostles at Pentecost.
Answer:
amen?...............
Joe, a technician, is attempting to connect two hubs to add a new segment to his local network. He uses one of his CAT5 patch cables to connect them; however, he is unable to reach the new network segment from his workstation. He can only connect to it from a workstation within that segment. Which of the following is MOST likely the problem?
A. One of the hubs is defective.
B. The new hub is powered down.
C. The patch cable needs to be a CAT6 patch cable.
D. The technician used a straight-through cable.
Answer:
Option D. is correct
Explanation:
Joe uses one of his CAT5 patch cables to connect two hubs to add a new segment to his local network. As he can only connect to it from a workstation within that segment, he is not able to reach the new network segment from his workstation.
The most problem is that the technician used a straight-through cable.
Option D. is correct.
Basic engine conponents
An engine is composed of several major components; the block, the crank, the rods, the pistons, the head (or heads), the valves, the cams, the intake and exhaust systems and the ignition system. These parts work together in an exacting manner to harness the chemical energy in gasoline.
The engine block consists of a cylinder block and a crankcase. An engine block can be produced as a one-piece or two-piece unit. The cylinder block is the engine component that consists of the cylinder bore, cooling fins on air-cooled engines, and valve train components, depending on the engine design.
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