To find the velocity of the particle at t = 7.338 s, we need to calculate the change in velocity over the given time interval. The average acceleration during this interval is given as (5.9i + 4.1j) m/s^2.
Using the formula for average acceleration, we can determine the change in velocity:
Δv = average acceleration * Δt
Given that Δt = 0.028 s and average acceleration = (5.9i + 4.1j) m/s^2,
we can substitute these values into the formula:
Δv = (5.9i + 4.1j) * 0.028
Simplifying this expression, we have:
Δv = (0.1652i + 0.1148j) m/s
Next, we need to find the velocity at t = 7.338 s. To do this,
we add the change in velocity to the initial velocity:
v = (5.21i + 7.70j) + Δv
Substituting the values, we get:
v = (5.21i + 7.70j) + (0.1652i + 0.1148j)
Simplifying, we obtain:
v = (5.3752i + 7.8148j) m/s
Therefore, the velocity of the particle at t = 7.338 s is approximately (5.3752i + 7.8148j) m/s.
To find the angle θ between the average acceleration vector and the velocity vector at
t = 7.338 s, we can use the dot product formula:
θ = arccos((v • a) / (|v| * |a|))
Substituting the values, we have:
θ = arccos(((5.3752 * 5.9) + (7.8148 * 4.1)) / (sqrt((5.3752)^2 + (7.8148)^2) * sqrt((5.9)^2 + (4.1)^2)))
Evaluating this expression, we find:
θ ≈ 29.7 degrees
Therefore, the angle θ between the average acceleration vector and the velocity vector at t = 7.338 s is approximately 29.7 degrees.
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Both forms of the rmf illustrate a(n) _______ engineering process as a way to plan, design, and build a complicated system.
Both forms of the Risk Management Framework (RMF) illustrate a systems engineering process as a way to plan, design, and build a complicated system.
What is engineering?Engineering is a discipline and profession that involves the application of scientific, mathematical, and practical knowledge to design, develop, build, and improve various systems, structures, machines, processes, and technologies.
Engineers utilize their expertise to solve complex problems and create practical solutions that meet societal needs.
Engineers employ a systematic and analytical approach, combining creativity, technical skills, and scientific principles to tackle challenges across different fields.
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When the process is in control but does not meet specification which type of error is it?
When the process is in control but does not meet specification, it is referred to as a special cause error.
What is the term for a process in control but not meeting specification?In statistical process control, a process is considered to be in control when it operates within the defined limits and shows only random variations. However, when a process is in control but does not meet the desired specifications, it indicates the presence of a special cause error.
Special cause errors are attributed to specific factors or events that cause the process to deviate from the expected outcome. These errors are typically unpredictable and require investigation and corrective action to bring the process back within the desired specifications.
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A battery consists of
solution.
and an electrolyte, wh
Select one:
O a. Two dissimilar metals
b. An insulator material separating the metals
c. Both A and B
O d. Neither A nor B
Clear my choice
Answer:
c
Explanation:
positive charge and negative charge but cant touch
what methods do you use to diagnose a problem with a copy machine
The methods to use diagnose a problem with a copy machine are :
Check the cartridge or Toner Issues Check for Wrinkled Pages Check for Paper JamsCheck for the copies are Too Light or Too Dark.What is copier maintenance?An agreement for continuing maintenance and repairs is known as a copier maintenance contract, and it is made with a firm like CEI to keep the copier in good working order for your business.The maintenance agreement serves as your copier's health insurance. It includes "check-ups" like toner and maintenance to keep it operating smoothly, as well as diagnostics and repairs in the event that it malfunctions or ceases functioning properly.Clean all of the device's surfaces that a user could touch with isopropyl alcohol (at least 70% concentration).Generally speaking, your printer maintenance kit should be updated every one to two years. The absolute least is once a year or once every other year.Learn more about copier maintenance refer to :
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an intersection has a 3-timing stage signal with the movements allowed in each timing stage and corresponding analysis and saturation flow rates shown below. consider that the total lost time is 12 seconds and a critical v/c ratio of 0.85 was desired. the cycle length is 60 seconds. calculate the delay and level of service for (a) the westbound left lane group, (b) the westbound approach and (c) the whole intersection.
To calculate the delay and level of service for the intersection and its movements, we require additional information such as traffic volumes and saturation flow rates for each movement. Without this data, it is not possible to accurately determine the delay and level of service.
To calculate delay, we need the volume of traffic and the capacity of each movement. The level of service depends on the delay experienced by the vehicles, which in turn is influenced by the traffic volumes and capacity. The critical v/c ratio indicates the desired level of congestion.Once we have the necessary information, we can apply traffic engineering methodologies such as the Highway Capacity Manual (HCM) or other appropriate models to calculate the delay and level of service for the specified movements at the intersection.
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In a velocity filter, uniform E and B fields are oriented at right angles to each other. An electron moves with a speed of 8 x 106 a, m/s at right angles to both fields and passes un- deflected through the field. (a) If the magnitude of B is 0.5 a, mWb/m2, find the value of E ay. (b) Will this filter work for positive and negative charges and any value of mass?
(a) The uniform electric field E = 4 x 10^3 N/C.
(b) The filter will not work for any value of mass, as the mass of the particle affects its trajectory in the magnetic field.
(a) In a velocity filter, the electric force (Fe) and magnetic force (Fm) acting on a charged particle balance each other.
The electric force Fe is given by Fe = qE, and the magnetic force Fm is given by Fm = qvB, where q is the charge, E is the electric field, v is the velocity, and B is the magnetic field.
Since the electron passes undeflected, Fe = Fm.
Fe = qE
Fm = qvB
Equating the two forces and solving for E, we get:
E = vB
Given the velocity v = 8 x 10^6 m/s and the magnetic field B = 0.5 mWb/m^2, we can find E:
E = (8 x 10^6 m/s) * (0.5 x 10^-3 T) = 4 x 10^3 N/C
So the value of E is 4 x 10^3 N/C.
(b) This velocity filter will work for both positive and negative charges because the direction of the electric force will change depending on the sign of the charge, maintaining the balance between Fe and Fm.
However, the filter will not work for any value of mass, as the mass of the particle affects its trajectory in the magnetic field.
For particles with different masses and the same charge, the balance between Fe and Fm will not be maintained, causing deflection.
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A cube of edge 4 inches is cut by a plane containing 2 diagonally opposite edges
of the cube find the area of the section formed.
Answer:
So its area A = 4 * 4sqrt(2) = 16sqrt(2) inches^2
Explanation:
In order to find the area of the section, we need to find the length of one of the diagonals.
Using the Pythagorean Theorem, a^2 + b^2 = c^2, we pick any side of the cube which in
itself is a square with sides 4 inches each. The length of the diagonal of the square is
2(4^2) = c^2 or c = 4sqrt(2).
To calculate the area of the section, we must first determine the length of one of the diagonals. Using the Pythagorean Theorem, \(\bold{a^2 + b^2 = c^2}\), one selects any side of the cube which in its a square with four-inch sides.
The diagonal of a square has a length:\(\to 2(4^2) = c^2 \\\\ \to c = 4\sqrt{(2)}\)
A section is now a rectangle with sides 4 and \(4\sqrt{(2)}\). So its area\(\to A = 4 \times 4\sqrt{(2)} = 16\sqrt{(2)}\ inches^2\)
Therefore, the answer is "\(\bold{ 16\sqrt{(2)}\ inches^2}\)".
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Using a conditional expression, write a statement that increments num_users if update_direction is 3, otherwise decrements num_users. Sample output with inputs: 83 New value is: 9 347374.2158478.qx3zqy7 1. num_users = int(input()) 2. update_direction = int(input()) 3. 4. 4 num_users = ''Your solution goes here"
5. 6. print('New value is:', num_users)
The code will update the value of num_users based on the value of update_direction and print the updated value.
To increment num_users if update_direction is 3, and decrement num_users otherwise, you can use a conditional expression like this:
num_users = num_users + 1 if update_direction == 3 else num_users - 1
In the code above, we're using a conditional expression (also known as a ternary operator) to check if update_direction is 3. If it is, we add 1 to num_users; otherwise, we subtract 1 from num_users.
So, the complete code would look like this:
When you run the code with the sample inputs provided (83 and 9), the output will be "New value is: 82".
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Large wind turbines with blade span diameters of over 100 m are available for electric power generation. Consider a wind turbine with a blade span diameter of 100 m installed at a site subjected to steady winds at 8 m/s. Taking the overall efficiency of the wind turbine to be 32 percent and the air density to be 1.25 kg/m3 , determine the electric power generated by this wind turbine. Also, assuming steady winds of 8 m/s during a 24-hour period, determine the amount of electric energy and the revenue generated per day for a unit price of $0.09/kWh for electricity
Answer:
The wind turbine generates \(19297.222\) kilowatt-hours of electricity daily.
The wind turbine makes a daily revenue of 1736.75 US dollars.
Explanation:
First, we have to determine the stored energy of wind (\(E_{wind}\)), measured in Joules, by means of definition of Kinetic Energy:
\(E_{wind} = \frac{1}{2}\cdot \dot m_{wind}\cdot \Delta t \cdot v_{wind}^{2}\) (Eq. 1)
Where:
\(\dot m_{wind}\) - Mass flow of wind, measured in kilograms per second.
\(\Delta t\) - Time in which wind acts in a day, measured in seconds.
\(v_{wind}\) - Steady wind speed, measured in meters per second.
By assuming constant mass flow and volume flows and using definitions of mass and volume flows, we expand the expression above:
\(E_{wind} = \frac{1}{2}\cdot \rho_{air}\cdot \dot V_{air} \cdot \Delta t \cdot v_{wind}^{2}\) (Eq. 1b)
Where:
\(\rho_{air}\) - Density of air, measured in kilograms per cubic meter.
\(\dot V_{air}\) - Volume flow of air through wind turbine, measured in cubic meters per second.
\(E_{wind} = \frac{1}{2}\cdot \rho_{air}\cdot A_{c}\cdot \Delta t\cdot v_{wind}^{3}\) (Eq. 2)
Where \(A_{c}\) is the area of the wind flow crossing the turbine, measured in square meters. This area is determined by the following equation:
\(A_{c} = \frac{\pi}{4}\cdot D^{2}\) (Eq. 3)
Where \(D\) is the diameter of the wind turbine blade, measured in meters.
If we know that \(\rho_{air} = 1.25\,\frac{kg}{m^{3}}\), \(D = 100\,m\), \(\Delta t = 86400\,s\) and \(v_{wind} = 8\,\frac{m}{s}\), the stored energy of the wind in a day is:
\(A_{c} = \frac{\pi}{4}\cdot (100\,m)^{2}\)
\(A_{c} \approx 7853.982\,m^{2}\)
\(E_{wind} = \frac{1}{2}\cdot \left(1.25\,\frac{kg}{m^{3}} \right) \cdot (7853.982\,m^{2})\cdot (86400\,s)\cdot \left(8\,\frac{m}{s} \right)^{3}\)
\(E_{wind} = 2.171\times 10^{11}\,J\)
Now, we proceed to determine the quantity of energy from wind being used by the wind turbine in a day (\(E_{turbine}\)), measured in joules, with the help of the definition of efficiency:
\(E_{turbine} = \eta\cdot E_{wind}\) (Eq. 4)
Where \(\eta\) is the overall efficiency of the wind turbine, dimensionless.
If we get that \(E_{wind} = 2.171\times 10^{11}\,J\) and \(\eta = 0.32\), then the energy is:
\(E_{turbine} = 0.32\cdot (2.171\times 10^{11}\,J)\)
\(E_{turbine} = 6.947\times 10^{10}\,J\)
The wind turbine generates \(6.947\times 10^{10}\) joules of electricity daily.
A kilowatt-hours equals 3.6 million joules. We calculate the equivalent amount of energy generated by wind turbine in kilowatt-hours:
\(E_{turbine} = 6.947\times 10^{10}\,J\times\frac{1\,kWh}{3.6\times 10^{6}\,J}\)
\(E_{turbine} = 19297.222\,kWh\)
The wind turbine generates \(19297.222\) kilowatt-hours of electricity daily.
Lastly, the revenue generated per day can be found by employing the following:
\(C_{rev} = c\cdot E_{turbine}\) (Eq. 5)
Where:
\(c\) - Unit price, measured in US dollars per kilowatt-hour.
\(C_{rev}\) - Revenue generated by the wind turbine in a day, measured in US dollars.
If we know that \(c = 0.09\,\frac{USD}{kWh}\) and \(E_{turbine} = 19297.222\,kWh\), then the revenue is:
\(C_{rev} = \left(0.09\,\frac{USD}{kWh} \right)\cdot (19297.222\,kWh)\)
\(C_{rev} = 1736.75\,USD\)
The wind turbine makes a daily revenue of 1736.75 US dollars.
Describe some three materials with nanocrystalline structures and identify each example of those material
Ultrafine crystalline grains in the nanometer range that are separated by grain boundaries or interfaces define nanocrystalline materials.
A nanocrystalline structure: what is it?A polycrystalline substance with a few nanometer-sized crystallites is referred to as a nanocrystalline (NC) substance. These materials bridge the gap between traditional coarse-grained materials and amorphous materials devoid of long-range organisation. Materials that contain clusters, crystallites, or molecules with diameters between 1 and 100 nm are said to be nanostructured materials.
What is an example of a nanostructure?The gecko's foot, iridescent butterfly wings, and hydrophobic leaves are just a few examples of nanostructures found in nature. Scientists and engineers are employing biomimicry to develop new goods with these nano-inspired qualities.
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Which equipment is used to supply power to several connections from one supply source?
A. Adapters
B. Junction boxes
C. Multi-use cords
D. Twist-lock receptacles
B. Junction boxes equipment is used to supply power to several connections from one supply source.
Junction boxes are essential components in electrical systems that serve the purpose of distributing power from a single supply source to multiple connections. They are designed as electrical enclosures, typically made of metal or plastic, that house and protect the electrical connections and wiring within.
The main function of a junction box is to provide a centralized location where multiple electrical circuits or wires can come together and be connected. These circuits may be part of a larger electrical system, such as a building's wiring network, or they may be specific circuits for various devices or outlets.
By consolidating the connections in one place, junction boxes ensure a more organized and manageable electrical setup. They help in preventing loose or exposed wiring, which can be hazardous and prone to accidents. The enclosure of the junction box also provides protection against dust, moisture, and other external elements that could potentially damage the electrical connections.
When it comes to supplying power, the junction box acts as a hub. It receives the electrical supply from the main source, such as a circuit breaker panel, and then distributes that power to the connected circuits or devices. This distribution allows for multiple connections to receive power simultaneously and efficiently.
Junction boxes also play a crucial role in maintaining electrical safety. They often have covers or lids that can be securely fastened, preventing unauthorized access to the wiring and reducing the risk of electrical shocks or accidents. Additionally, junction boxes are designed to meet specific electrical codes and standards to ensure proper installation and compliance with safety regulations.
In summary, junction boxes are used to provide power to several connections from one supply source by serving as centralized enclosures for electrical connections. They facilitate the distribution of power, protect the wiring, and enhance electrical safety within an electrical system or installation.
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In vertical analysis, each item is expressed as a percentage of:Multiple ChoiceTotal assets on the balance sheet.Total cash on the balance sheet.Total current assets on the balance sheet.None of these answers are correct.
: None of these answers are correct.
In vertical analysis, each item is expressed as a percentage of a base amount within the same financial statement. The base amount varies depending on the purpose of the analysis. Common base amounts used in vertical analysis include total assets, total liabilities, net sales, or total revenue.Vertical analysis helps to assess the relative proportion of each item in relation to the base amount and provides insights into the composition and structure of the financial statement. By expressing each item as a percentage, it allows for meaningful comparisons and trend analysis over time.
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when an outlet supplied through an underfloor raceway is removed, the sections of the circuit conductors supplying the outlet shall be removed from the raceway. t or f
True, the circuit conductor parts supplying the outlet must be taken out of a cellular metal floor raceway when an outlet is removed from it.
Cellular metals' characteristic property profile reveals a variety of uses, particularly in multifunctional technologies. Their particular property characteristics point to applications as heat dissipation medium, lightweight panels/shells, energy-absorbing structures, and vibration control. Cellular metals' characteristic property profile reveals a variety of uses, particularly in multifunctional technologies. Their particular property characteristics point to applications as heat dissipation medium, lightweight panels/shells, energy-absorbing structures, and vibration control. There are links between cellular architecture, cell morphology, and density and the characteristics that control these performance advantages. Such structural relationships make it easier to select the best cell properties for specific multifunctional applications.
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An elevation is.... * 10 points a. A detailed description of requirements, composition and materials for a proposed building. b. A view of a building seen from one side, a flat representation of one façade. This is the most common view used to describe the external appearance of a building. c. The development of the last remaining lots in an existing developed area, the new development within an area already served by existing infrastructure and services, or the reuse of already developed, but vacant properties. d. The practice of creating structures and using processes that are environmentally responsible and resource-efficient throughout a building's life-cycle from siting to design, construction, operation, maintenance, renovation and deconstruction.
Answer:
b. A view of a building seen from one side, a flat representation of one façade. This is the most common view used to describe the external appearance of a building.
Explanation:
An elevation is a three-dimensional, orthographic, architectural projection that reveals just a side of the building. It is represented with diagrams and shadows are used to create the effect of a three-dimensional image.
It reveals the position of the building from ground-depth and only the outer parts of the structure are illustrated. Elevations, building plans, and section drawings are always drawn together by the architects.
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
a jsdnjwevhfgruewbkuwygru
ký hiệu của vật liệu cơ khí
Answer:
by hìuuf5ëcz
Explanation:
6tgiïuggd
Which of the following conditions would completely shut down a circuit
What are the disadvantages of genetic engineering towards traditional farming practices
Genetic engineering involves the manipulation of an organism’s genetic material, which alters its traits and properties. Its use in agriculture has led to the development of genetically modified crops, animals, and microorganisms, which have been used to increase food production and boost economic growth.
Environmental Risks-The release of genetically engineered organisms into the environment poses a significant risk to biodiversity. These organisms may interbreed with their natural counterparts, leading to the extinction of certain species.Increased Cost-Genetically modified seeds are more expensive than traditional seeds. Human Health Risks-There is a lack of knowledge about the long-term effects of genetically modified organisms on human health.
Ethical Concerns-The modification of an organism’s genetic material has raised ethical concerns, particularly regarding animal welfare. In conclusion, genetic engineering presents some negative effects on traditional farming practices. The use of genetically modified crops has increased production and food security, but it also poses risks to human health, animal welfare, and the environment. As such, careful consideration of the risks and benefits of genetic engineering is required to ensure that it does not pose harm to traditional farming practices and the environment.
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Manager T. C. Downs of Plum Engines, a producer of lawn mowers and leaf blowers, must develop
an aggregate plan given the forecast for engine demand shown in the table. The department has
a regular output capacity of 130 engines per month. Regular output has a cost of $60 per engine.
The beginning inventory is zero engines. Overtime has a cost of $90 per engine.
a. Develop a chase plan that matches the forecast and compute the total cost of your plan. Regular
production can be less than regular capacity.
b. Compare the costs to a level plan that uses inventory to absorb fluctuations. Inventory carrying
cost is $2 per engine per month. Backlog cost is $90 per engine per month. There should not be a
backlog in the last month.
Explanation:
To develop an aggregate plan, we need to consider the forecasted demand and available capacity while minimizing costs. Let's analyze the two scenarios:
a. Chase Plan:
In a chase plan, the production is adjusted to match the forecasted demand. This means that each month's production will be equal to the demand for that month. However, the regular output can be less than regular capacity.
Using the given regular output capacity of 130 engines per month, we can match the demand as follows:
Month | Forecasted Demand | Production (Chase Plan)
-----------------------------------------
Jan | 150 | 150
Feb | 110 | 110
Mar | 120 | 120
Apr | 140 | 140
May | 160 | 160
Jun | 180 | 180
Total cost for the chase plan:
= (Regular Production Cost + Overtime Production Cost)
= (150 * $60 + 0 * $90) + (110 * $60 + 0 * $90) + (120 * $60 + 0 * $90) + (140 * $60 + 0 * $90) + (160 * $60 + 0 * $90) + (180 * $60 + 0 * $90)
= $9,000 + $6,600 + $7,200 + $8,400 + $9,600 + $10,800
= $51,600
b. Level Plan:
In a level plan, we aim to maintain a constant production rate throughout the planning horizon, using inventory to absorb fluctuations in demand. Backlog should not exist in the last month.
To calculate the optimal production rate, we need to consider the carrying cost and backlog cost. Let's calculate the production rate based on these costs:
Carrying cost = $2 per engine per month
Backlog cost = $90 per engine per month
Total cost for the level plan:
= (Carrying Cost + Backlog Cost)
= (0 * $2 + 40 * $90) + (40 * $2 + 0 * $90) + (10 * $2 + 20 * $90) + (30 * $2 + 0 * $90) + (50 * $2 + 0 * $90) + (70 * $2 + 0 * $90)
= $3,600 + $800 + $2,200 + $60 + $100 + $140
= $6,900
Therefore, the total cost for the chase plan is $51,600, and the total cost for the level plan is $6,900.
A facilities supervisor notices that every time all the building's elevators are in service at the same time, the
lobby lights dim slightly. He concludes that this might indicate an electrical problem related to the elevators.
What process is he using to arrive at this hypothesis?
troubleshooting
inductive reasoning
visualization
deductive reasoning
Answer:
The process that the facilities supervisor is using to arrive at this hypothesis is inductive reasoning. Inductive reasoning involves making generalizations based on specific observations or patterns. In this case, the supervisor has observed a specific pattern (the lobby lights dimming when all elevators are in service), and from that, he is making a generalization (there might be an electrical problem related to the elevators). Inductive reasoning is a common method used in scientific inquiry, where specific observations or data are used to develop hypotheses or theories.
Question about transformers and generators
Answer:
woah
Explanation:
Describe how to contribute to
zero/low carbon work outcomes
within the built environment.
Answer:
day if you workout without Zero billing that means you're not sweating. Sweating you're not losing anything that means you have zero outcomes
Explanation:
design a filter that has infinite dc gain, a gain of one from 1hz to 100 hz and filters (1st order) any signals above 100 hz. a) sketch the bode plot b) sketch the s-plane c) write the transfer function of the filter d) write the differential equation e) write out the unforced transient response f) write out the frequency response
To design a filter with infinite DC gain and a gain of one from 1Hz to 100Hz, while filtering any signals above 100Hz (1st order), we can use a high-pass filter with a cutoff frequency of 100Hz.
a) The Bode plot of this filter would show a flat line at infinity for frequencies less than 1Hz, a slope of 20dB/decade from 1Hz to 100Hz, and a sharp drop of 20dB/decade for frequencies above 100Hz.
b) The s-plane would show a single pole at -100rad/s.
c) The transfer function of this filter can be written as: H(s) = (s+100)/s
d) The differential equation for this filter can be written as: \(y''(t) + 100y'(t) + y(t) = 100x'(t) + x(t)\)
e) The unforced transient response for this filter can be written as: y(t) = \([c1e^(-50t)cos(99.5t) + c2e^(-50t)sin(99.5t)]\)
f) The frequency response for this filter is given by: H(jw) = (jw + 100) / jw.
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Select the correct answer. Which statement best describes a hydrogen fuel cell? A This device uses bioethanol as an additive to power an automobile. B. O C. This device uses photovoltaic cells to capture solar energy and generate electrical energy from it. This device uses fossil fuels to generate heat energy that machines can then convert into mechanical energy. This device converts the chemical energy of hydrogen into electricity through a chemical reaction with oxygen or another oxidizing agent. O D. E. This device converts the kinetic energy of an electric turbine into electricity based on Faraday's law.
Answer:
Explanation:
The correct answer is "D. This device converts the chemical energy of hydrogen into electricity through a chemical reaction with oxygen or another oxidizing agent."
A talks about bio-ethanol fuel.
B is solar.
C is fossil.
E is electricity generation.
Answer:
Explanation:
ans is:
This device converts the chemical energy of hydrogen into electricity through a chemical reaction with oxygen or another oxidizing agent. O D
Answer every question of this quiz
Please note: you can answer each question only once.
Which number shows the intake valve?
OK
I'd say number 4, number 3 looks like an exhaust valve
In an RL parallel circuit, VT = 240 V, R = 330 Ω, and XL = 420 Ω. What is the Apparent Power (VA)?
Answer:
that answer is correct
Explanation:
This answer is correct because they explained everything they needed.
Steam at 20 bars is in the saturated vapor state (call this state 1) and contained in a pistoncylinderdevice with a volume of 0.03 m3. Assume the steam is cooled at constantvolume (i.e. the piston is held fixed in place) until the temperature reaches 200 C (callthis state 2). Then the steam is expanded isothermally until its volume is three times theinitial value (state 3).
Required:
a. Determine the pressures at state 2 and 3. ans. 15.5 bar, ~10 bar
b. Determine the change in specific internal energy, u, for each of the two processes.
-389 kJ/kg, 410 kJ/kg
c. Make qualitatively correct sketches of the processes on a T-v plot.
Answer:
Explanation:
Given that:
At state 1:
Pressure P₁ = 20 bar
Volume V₁ = 0.03 \(\mathbf{m^{3}}\)
From the tables at saturated vapour;
Temperature T₁ = 212.4⁰ C ; \(v_1 = vg_1\) = 0.0996 \(\mathbf{m^{3}}\) / kg
The mass inside the cylinder is m = 0.3 kg, which is constant.
The specific internal energy u₁ = ug₁ = 2599.2 kJ/kg
At state 2:
Temperature T₂ = 200⁰ C
Since the 1 - 2 occurs in an isochoric process v₂ = v₁ = 0.099 \(\mathbf{m^{3}}\) / kg
From temperature T₂ = 200⁰ C
\(v_f_2 = 0.0016 \ m^3/kg\)
\(vg_2 = 0.127 \ m^3/kg\)
Since \(vf_2 < v_2<vg_2\) , the saturated pressure at state 2 i.e. P₂ = 15.5 bar
Mixture quality \(x_2 = \dfrac{v_2-vf_2}{vg_2 -vf_2}\)
\(x_2 = \dfrac{(0.099-0.0016)m^3/kg}{(0.127 -0.0016) m^3/kg}\)
\(x_2 = \dfrac{(0.0974)m^3/kg}{(0.1254) m^3/kg}\)
\(\mathsf{x_2 =0.78}\)
At temperature T₂, the specific internal energy \(u_f_2 = 850.6 \ kJ/kg\) , also \(ug_2 = 2594.3 \ kJ/kg\)
Thus,
\(u_2 = uf_2 + x_2 (ug_2 -uf_2)\)
\(u_2 =850.6 +0.78 (2594.3 -850.6)\)
\(u_2 =850.6 +1360.086\)
\(u_2 =2210.686 \ kJ/kg\)
At state 3:
Temperature \(T_3=T_2 = 200 ^0 C ,\)
\(V_3 = 2V_1 = 0.06 \ m^3\)
Specific volume \(v_3 = 0.2 \ m^3/kg\)
Thus; \(vg_3 =vg_2 = 0.127 \ m^3/kg\) ,
SInce \(v_3 > vg_3\), therefore, the phase is in a superheated vapour state.
From the tables of superheated vapour tables; at \(v_3 = 0.2 \ m^3/kg\) and T₃ = 200⁰ C
The pressure = 10 bar and v =0.206 \(\ m^3/kg\)
The specific internal energy \(u_3\) at the pressure of 10 bar = 2622.3 kJ/kg
The changes in the specific internal energy is:
\(u_2-u_1\)
= (2210.686 - 2599.2) kJ/kg
= -388.514 kJ/kg
≅ - 389 kJ/kg
\(u_3-u_2\)
= (2622.3 - 2210.686) kJ/kg
= 411.614 kJ/kg
≅ 410 kJ/kg
We can see the correct sketches of the T-v plot showing the diagrammatic expression in the image attached below.
A pitot tube is mounted in the test section of a low- speed open- circuit subsonic wind tunnel. Air is flowing through the test section at 100 mph. The air pressure in the test section is 1 atm, and the temperature is 65 F Calculate the pressure measured by the pitot tube.
Answer:
given
i=100mph
to=65 F
find thd p
p=i*f
p= 65*100=6500
In which model of the system, the change in order is generated depending on the system activities. *
Static Model
Dynamic Model
Analytical Model
Numerical Model
Answer:
Static Model
Explanation:
This material is considered flammable. A paint B glue C Oil D ALL of the above
Answer:
Explanation:
Generally speaking, flammable liquids will ignite (catch on fire) and burn easily at normal working temperatures. ... Fuels and many common products like solvents, thinners, cleaners, adhesives, paints, waxes and polishes may be flammable or combustible liquids.
The material which is considered flammable is: A. paint.
A chemical property can be defined as the property of a chemical compound (material) that can be observed and is measurable during a chemical reaction.
In Science, some examples of the chemical properties of a material (substance) include the following;
TarnishingRustingReactivityFlammabilityFlammability refers to the ability of a material to support combustion or burn continuously in the presence of air. An example of a material which is considered to be flammable is paint because it contains a high level of solvents.
Read more on flammability here: https://brainly.com/question/14214497