Teflon is highly resistant to a wide range of chemicals, including acids and bases, making it an excellent material for use in corrosive environments, while chloride ions can cause pitting corrosion in zirconium and a corrosion rate of over 10 mpy for Tantalum would not be sustainable in the long term.
What are some corrosion-related properties and considerations for Tantalum, Zirconium, and Teflon?
Tantalum is not used in services where its corrosion rate exceeds 10 mpy because at that rate, the metal would deteriorate too quickly, leading to failure of the equipment or system in which it is being used.Even though such a corrosion rate may be economically justified in the short term, it would not be sustainable in the long term.
In terms of corrosion, Teflon is highly resistant to a wide range of chemicals, including acids and bases, making it an excellent material for use in corrosive environments. Its non-stick properties also make it easy to clean, which can help to prevent corrosion from building up over time.
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A cyclist is turning the pedals of his bicycle at a speed of 60RPM while exerting a torque of 1 lb-ft. The input sprocket has 40 teeth. What is the number of teeth on the output sprocket, if the driven wheel is rotating at 240 RPM?
Answer:
10
Explanation:
The speed of the chain is the same for both sprockets.
vᵢ = vₒ
ωᵢ rᵢ = ωₒ rₒ
The sprockets have the same pitch, so the radius is proportional to the number of teeth. So we can say:
ωᵢ nᵢ = ωₒ nₒ
Plugging in values:
(60 rpm) (40) = (240 rpm) nₒ
nₒ = 10
The output sprocket has 10 teeth. This makes sense, if the output sprocket is 4 times smaller, it will turn 4 times faster than the input sprocket.
Answer: it is 10 teeth and the guy under me already explained soo
Explanation:
Describing Tasks for Stationary Engineers Click this link to view O*NET’s Tasks section for Stationary Engineers. Note that common tasks are listed toward the top, and less common tasks are listed toward the bottom. According to O*NET, what are common tasks performed by Stationary Engineers? Check all that apply. observing and interpreting readings on gauges, meters, and charts managing financial resources to order supplies and equipment writing computer programs to control equipment testing boiler water quality or arranging for testing creating safety regulations after experimentation operating or tending stationary engines, boilers, and auxiliary equipment
Answer:
A, D, F
Explanation:
took on edge.
Answer:
The answer is A,D,F
A:observing and interpreting readings on gauges, meters, and charts
D:testing boiler water quality or arranging for testing
F:operating or tending stationary engines, boilers, and auxiliary equipment
Explanation:
I got all right on edge.
8. Find the volume of the figure shown below: * V=L x W x H 7 cm 2 cm 2 cm
of the three types of hazard controls – engineering, administrative, and personal protective equipment (ppe) – ppe is the last line of defense.
Of the three types of hazard controls – engineering, administrative, and personal protective equipment (PPE) – PPE is the last line of defense: True.
What is OSHA?OSHA is simply an abbreviation for occupational safety and health administration that was created under the Occupational Safety and Health Act, so as to develop work-safety standards for workers and providing precautionary measures against all workplace hazards.
The three types of hazard controls.Generally, there are three types of hazard controls and these include the following:
Engineering Controls. Administrative Controls. Personal Protective Equipment (PPE).What is PPE?PPE is an acronym for personal protective equipment and it can be defined as a terminology that is used to denote any piece of equipment which offer protection to different parts of the body while working in a potentially hazardous environment.
Also, some examples of personal protective equipment (PPE) used to protect the different parts of the body are:
RespiratorsFace maskFace shieldGlovesBootsHelmetAccording to occupational safety and health administration (OSHA), the use of a faulty personal protective equipment (PPE) should be the last line of defense.
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Complete Question:
Of the three types of hazard controls – engineering, administrative, and personal protective equipment (PPE) – PPE is the last line of defense. True or False?
projective tests face the same drawbacks as other b-data tests, including that
Projective tests are a type of psychological assessment tool that involve presenting individuals with ambiguous stimuli, such as inkblots or drawings, and asking them to provide interpretations or responses.
While projective tests can provide useful insights into an individual's personality or thought processes, they are not without their drawbacks.
One of the main drawbacks of projective tests, as with other "b-data" tests (behavioral data), is that they are subjective in nature and rely heavily on the interpretation of the examiner. The responses and interpretations may be influenced by the examiner's biases, and there is no clear set of guidelines or criteria for scoring or evaluating the responses. This can lead to inconsistencies and inaccuracies in the results.
Another drawback of projective tests is that they are time-consuming and resource-intensive, requiring a trained examiner to administer and interpret the results. This can make them less practical for use in large-scale assessments or in settings where resources are limited.
Additionally, some individuals may feel uncomfortable or resistant to the ambiguous stimuli presented in projective tests, which can affect their responses and the accuracy of the results.
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aircraft maintenance records must include the current status of the
Aircraft maintenance records must include the current status of the airframe, engine, and components. This ensures safety and compliance with regulatory requirements.
Aircraft maintenance records must include the current status of the airframe, engine, and components as part of ensuring safety and compliance with regulatory requirements. These records provide a comprehensive overview of the aircraft's maintenance history, inspections, repairs, and modifications, allowing maintenance personnel and regulatory authorities to assess the aircraft's condition and airworthiness. By including the current status of the airframe, engine, and components in the maintenance records, operators and maintenance personnel can effectively monitor the condition of the aircraft, plan future maintenance activities, and demonstrate compliance with regulatory requirements. These records are essential for maintaining the aircraft's airworthiness, ensuring safety during operations, and facilitating regulatory inspections and audits.
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Type the correct answer in each box. Spell all words correctly. According to the priority matrix, which tasks should an entrepreneur complete first? According to the priority matrix, entrepreneurs should first complete tasks that are blank and important.
Answer:
Development of creative and develop ideas
Explanation:
First task as an entrepreneur is to be creative and develop ideas. The person must design the product based on which he will develop the business strategy.
The remaining activities such as marketing, fund raising, recruitment etc. comes at a later stage.
URGENT NEED HELP BY AN HOUR
C++ ONLY
Given a line of text as input: (1) output the number of characters excluding the three characters commonly used for end-of-sentence punctuation( period, exclamation point, and question mark), (2) then output the number of end-of-sentence punctuation characters that were found. You can just do (1) to pass the first few test cases for partial credit, then do (2) for full credit.
Ex: If the input is "Listen, Sam! Calm down. Please.", the output is:
28
3
Ex: If the input is "What time is it? Time to get a watch! O.K., bye now.", the output is:
43
5
Using the knowledge in computational language in python it is possible to write a code that output the number of characters excluding the three characters commonly used for end-of-sentence punctuation.
Writting the code:import re
def check_sentence(text):
result = re.search(r"^[A-Z][A-Za-z\s]*[\.\?!]$", text)
return result != None
print(check_sentence("Is this is a sentence?")) # True
print(check_sentence("is this is a sentence?")) # False
print(check_sentence("Hello")) # False
print(check_sentence("1-2-3-GO!")) # False
print(check_sentence("A star is born.")) # True
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Toyotas more than 30 hybrid vehicles investment in zero emissions vehicle and working on developing hydrogen fuel cell vehicles not only protect the natural environment but also further his overall economic progress customer is generally has positive feelings towards companies that focus on______ efforts such as Toyotas
The missing term in the presented paragraph is environmental.
In recent years the effects of climate change have been strongly manifested around the world causing:
Forest firesFloodsHeatwavesCold wavesSnowfallThe rise in the level of rivers and seasDeglaciationTherefore, many companies have begun to investigate productive alternatives to reduce their environmental impact. In the case of the car industry, companies have deepened their research on other sources of energy such as:
ElectricSolarWindOne of them is Toyota, the Japanese brand that has developed cars that work hybrid, that is, with gasoline and electric power. This will reduce the emissions of CO2 and other harmful gases into the atmosphere.
Therefore, it is possible to infer that the missing term in the paragraph is Environmental.
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Which items are NOT found on a
door?*
5 points
Cladding
Moulding
Weatherstrip
Check Strap
Striker
All of the above
None of the above
Answer:
None of the above cause thats what i put
1. What are the benefits and costs, or advantages and disadvantages, of autonomous driv-
ing technology to various corporate stakeholders and society?
2. Are the threats of harm from autonomous vehicles simply an acceptable risk, especially
when compared to fatalities caused by human-driven vehicles?
3. What steps could business, government, or individual drivers take to reduce the risk of
hacking in autonomous vehicles?
4. Do you think federal or state governments should regulate the emergence of autono.
mous driving technology, and if so how?
5. If you were the chief technology officer of a company that was developing autonomously
driven vehicles, what steps would you take to manage this technology appropriately?
The benefits of autonomous driving technology to various corporate stakeholders and society are numerous. Some advantages include improved safety, increased efficiency, and enhanced mobility.
Safety: Autonomous vehicles have the potential to reduce human error, which is a leading cause of accidents. With advanced sensors and algorithms, autonomous vehicles can detect and respond to potential hazards more effectively, potentially reducing the number of accident and fatalities on the road.
Efficiency: Autonomous vehicles have the potential to optimize traffic flow and reduce congestion. They can communicate with each other and make real-time decisions to avoid traffic jams, choose the most efficient routes, and improve overall transportation efficiency. Autonomous driving technology has the potential to provide transportation options for people who cannot drive, such as the elderly or disabled.
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What polymer is a package made of?
Answer:
polyethylene
Explanation:
The elasticity of polyethylene makes it an ideal material for food packaging. Polyethylene is used extensively in the automotive industry. Polyethylene is often used for manufacturing stock poly bags, zip lock bags, bottles, food containers, food crates, stretch film, tape, pallets and plastic sheeting.
Polythene is commonly used as a packaging material. The most common polyethylene types used in food packaging are high-density polyethylene (HDPE), low-density polyethylene (LDPE), and linear low-density polyethylene (LLDPE).
Explanation:One of the most popular materials used in the food industry for packaging is petroleum plastics (synthetic polymers). Such polymers include polyethylene terephthalate (PET), low and high-density polyethylene (LDPE and HDPE respectively), polypropylene (PP), polyvinyl chloride (PVC), and polystyrene (PS). Paper, paperboard, and cardboard cartons are frequently used as packaging for products in stores as well as used in shipping. Corrugated cardboard, for example, has excellent structural stability for shipping, storing, and even marketing products.
using the data in this table, calculate the number of half-lives that have passed for the granite (unit g on this table). null multiple choice 1 2 3 4 5
The number of half-lives that have passed for the granite is 3.
What do you mean by half-life?
A quantity (of substance half-life )'s (symbol t12) is the amount of time needed for it to decrease to half of its original value. The phrase "half-life" is frequently used in nuclear physics to refer to how long stable atoms last or how quickly unstable atoms decay radioactively.
If a sample contained 100g of Cf-251 at some point, for instance, there would still be 50g of Cf-251 in the sample after 800 years. There would be just 25g left after an additional 800 years (a total of 1600 years).
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Using Logicly, design a circuit that counts from 0 to 9 on a display in order
at every clock rising edge:
display: 0 1 2 3 4 5 6 7 8 9 0 1 2...
There are also two inputs in the form of two switches A and B. When both switches are
ON or OFF at same time, the above sequence is displayed. When switch A is ON and
Switch B is OFF, the count goes from 0 to 5 at every clock rising edge but it "branches"
to 8 and 9 without showing 6 and 7 before going back to 0:
display: 0 1 2 3 4 5 8 9 0 1 2 3 4 5 8 9 0 1 ...
When switch B is ON and switch A is OFF, the count goes from 0 to 5 then "jumps" back
to 2 and continues:
display: 0 1 2 3 4 5 2 3 4 5 2 3 4 5 ...
When the switch (A or B) is turned off, the counting sequence should go back to normal
(0 1 2 3 4 5 6 7 8 9 0 1 2...).
The circuit that counts from 0 to 9 on a display in order with two switches A and B can be designed using the following steps:
Step 1: Create a new Logicly file and select the number of inputs and outputs needed for the circuit. Here, we need two inputs (switches A and B) and one output (display).
Step 2: Add a clock module to the circuit and connect it to the inputs and outputs.
Step 3: Add a 4-bit binary counter to the circuit and connect it to the clock module. This will create the basic counting sequence (0 to 15).
Step 4: Create a decoder module and connect it to the binary counter. This will convert the binary output of the counter to decimal and display it on the output (display).
Step 5: Create two AND gates and connect them to the switches A and B. When both switches are ON or OFF at the same time, the above sequence is displayed.
Step 6: Create an OR gate and connect it to the outputs of the AND gates. This will combine the outputs of the two AND gates and connect it to the enable input of the binary counter.
Step 7: Create two more AND gates and connect them to the switches A and B. When switch A is ON and Switch B is OFF, the count goes from 0 to 5 at every clock rising edge but it "branches" to 8 and 9 without showing 6 and 7 before going back to 0. When switch B is ON and switch A is OFF, the count goes from 0 to 5 then "jumps" back to 2 and continues.
Step 8: Connect the outputs of the two AND gates to two additional inputs of the OR gate. This will allow the circuit to "branch" or "jump" as needed.
Step 9: Add a NOT gate and connect it to the output of the OR gate. This will invert the signal and connect it to the reset input of the binary counter.
Step 10: Add two more AND gates and connect them to the switches A and B. When the switch (A or B) is turned off, the counting sequence should go back to normal (0 1 2 3 4 5 6 7 8 9 0 1 2...).
Step 11: Connect the outputs of the two AND gates to two additional inputs of the OR gate. This will allow the circuit to reset when either switch is turned off.
Step 12: Test the circuit by simulating it in Logicly.
Make sure the circuit works as expected and there are no errors.
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PLEASE HELP I NEED THIS ASP!!
Answer:
up up down down
Explanation:
left right left right b a select start
which fluid delivery method improves a cutting fluid's cooling and lubrication properties by propelling the fluid at a high rate of speed?
A high-pressure spray nozzle improves cutting fluid's cooling and lubrication properties.
What method enhances cutting fluid's cooling and lubrication by propelling it at high speed?High-pressure coolant is a fluid delivery method that enhances the cooling and lubrication properties of cutting fluids by propelling the fluid at a high rate of speed. This method involves using pumps or nozzles to deliver coolant at pressures higher than conventional coolant systems.
By increasing the velocity and force with which the cutting fluid is delivered, high-pressure coolant effectively improves heat dissipation and chip evacuation during machining processes.
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The has to produce goods 2 quarters periods. The company has a regular time capacity and forecast demand that is stated state in table below per month. Overtime capacity is 50% of regular time capacity multiply by 1.5 per month. Overtime cost is regular time cost multiply by 1.5, backorder cost is 50% of the regular cost, inventory-holding cost is R5 per unit, and beginning inventory is zero.
The given problem is concerned with a company that has to produce goods for two quarters' period. The company has a regular time capacity and forecast demand, which is given in the table below per month.
We are required to determine the overtime capacity, overtime cost, backorder cost, inventory-holding cost, and the beginning inventory. Given data: Demand | Regular time capacity50 | 50Overtime capacity | 50% of regular time capacity × 1.5= 50% of 50 × 1.5= 25 × 1.5= 37.5 units per month Overtime cost.
Therefore, the overtime cost and backorder cost are zero. Inventory-holding cost= 50 units × R5 per unit= R250Therefore, the company needs to work at 100% of the regular time capacity and 74% of the overtime capacity to meet the forecast demand of 50 units per month for two quarters.
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The compound beam shown in figure is pin connected at B. Determine the components of reaction at its supports. Neglect its weight and thickness.
The values based on the information given will be Ra = 1000N and Rc= 90N
What is weight?Weight refers to the measure of the force of gravity on an object, and is typically measured in units of mass, such as kilograms or pounds. Weight is influenced by the mass of the object and the strength of the gravitational field it is in.
Thickness, on the other hand, refers to the measure of how thick an object is, or the distance between opposite surfaces of an object. Thickness is typically measured in units of length, such as millimeters or inches.
While weight and thickness are not directly related to each other, they can both play important roles in determining the properties and uses of an object. For example, a thin piece of metal may be lightweight, but may not be strong enough to support heavy loads. Conversely, a thicker piece of metal may be heavier, but may be able to support heavier loads due to its increased strength.
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A manufacturing plant produces robotic arms for a surgical robotics company through the following three-stage process:
Stage 1: Receiving. The plant receives raw materials from its suppliers by truck. The plant can receive up to 10 tons (we will use metric tons, so 1 ton = 1000 kg) of raw materials per day. The plant also has enough storage space for exactly 10 tons of these raw materials.
Stage 2: Metal molding and Electronics. The plant uses the raw materials to produce two intermediate components of the arms, the metal molding, and the internal electronics. Separate machines are used to produce metal molding and electronics, and they can all be run simultaneously. There are two machines to convert raw materials into metal molding, and each can convert up to 2 tons of raw materials into 2 tons of metal molding each day. There is one machine that converts raw materials into electronics and it can convert 4 tons of raw materials into 4 tons of electronics units each day. Completed metal moldings and electronics are then stored until Stage 3. For simplicity, we assume that all raw materials can be converted into either metal molding or electronics. Each metal molding weighs 2 kg and each unit of electronics weighs 1 kg.
Stage 3: Assembly. Metal moldings and internal electronics are assembled into robotic arms. There are 50 factory workers who can each assemble 10 arms each hour and work 8 hours each day. Each arm requires 2 metal moldings and 1 unit of electronics. After assembly, the arms are stored and prepared for shipping.
Q: For the system described above, what is the system’s capacity? Where are the bottlenecks?
The system's capacity is determined by the bottleneck, which is the stage with the lowest throughput.
In this case, the bottlenecks in the manufacturing plant's process for producing robotic arms are the machines for metal molding and electronics production. The capacity of these machines limits the overall capacity of the system.
The system's capacity is limited by the stage with the lowest throughput. In this case, the bottleneck is the metal molding and electronics production stage. The metal molding machines can convert up to 4 tons of raw materials into metal molding per day (2 tons each from two machines), while the electronics machine can convert 4 tons of raw materials into electronics units per day. This means that the metal molding and electronics stage has a combined capacity of 4 tons each per day.
Since each arm requires 2 metal moldings and 1 unit of electronics, the maximum number of arms that can be assembled is limited by the availability of these components. With a daily capacity of 4 tons each for metal molding and electronics, the bottleneck restricts the number of arms that can be produced. The assembly stage, which has 50 workers capable of assembling 10 arms each hour, is not the bottleneck in this case.
Therefore, the system's capacity is determined by the metal molding and electronics production stage. To increase the overall capacity of the system, the plant would need to address the bottleneck by increasing the capacity of the metal molding and electronics machines, either by adding more machines or optimizing their efficiency.
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5. According to the FMCSRs, you are qualified to operate a CMV if you:
A. are at least 15-years old.
B. have passed an IQ test.
C. have only one current CDL.
D. are currently disqualified from operating a motor vehicle.
Answer:
currently states that a person is qualified to drive a commercial motor vehicle if he/she “can read and speak the English language sufficiently to converse with the general public, to understand highway traffic signs and signals
So I think B
Doubling the diameter of a solid, cylindrical wire doubles its strength in tension.
True
False
Answer:
True ❤️
-Solid by solid can make Cylindrical wire doubles Strengths in tension
A welding machine is an example of a factor of production if it is being used to produce automobiles. True False
A welding machine is an example of a factor of production if it is being used to produce automobiles is a true statement.What is a factor of production?In the economy, factors of production are used to produce products. They are the resources used to create goods and services. Factors of production are classified as land, labor, capital, and entrepreneurship.
The role of a welding machine in the production of automobiles:In the manufacturing of automobiles, a welding machine is employed. It has a critical role in the production of cars. The auto manufacturing industry relies heavily on welding to construct and assemble cars.Welding equipment, as well as the skilled labor needed to operate it, is a crucial component of the auto manufacturing industry. Welding is used extensively to construct car bodies, frames, and other components. These parts are combined by welding to create a finished automobile.The welding machine is classified as a type of capital equipment used in the manufacturing process. Capital resources, like all factors of production, are essential for generating income and profits. Capital resources are used to produce goods and services that generate income or revenue when they are used to produce other goods and services.
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We consider three different hash functions which produce outputs of lengths 64, 128 and 160 bit. After how many random inputs do we have a probability of ε = 0. 5 for a collision? After how many random inputs do we have a probability of ε = 0. 1 for a collision?
For ε = 0.1, approximately 2.147 random inputs are needed for a collision. The number of inputs required for the hash functions producing outputs of lengths 128 and 160 bits using the same formula.
To determine the number of random inputs needed to achieve a specific probability of collision, we can use the birthday paradox principle. The birthday paradox states that in a group of people, the probability of two individuals having the same birthday is higher than expected due to the large number of possible pairs.
The formula to calculate the approximate number of inputs required for a given probability of collision (ε) is:
n ≈ √(2 * log(1/(1 - ε)))
Let's calculate the number of inputs needed for ε = 0.5 and ε = 0.1 for each hash function:
For a hash function producing a 64-bit output:
n ≈ √(2 * log(1/(1 - 0.5)))
n ≈ √(2 * log(2))
n ≈ √(2 * 0.693)
n ≈ √(1.386)
n ≈ 1.177
For ε = 0.5, approximately 1.177 random inputs are required to have a probability of collision.
For ε = 0.1:
n ≈ √(2 * log(1/(1 - 0.1)))
n ≈ √(2 * log(10))
n ≈ √(2 * 2.303)
n ≈ √(4.606)
n ≈ 2.147
For ε = 0.1, approximately 2.147 random inputs are needed for a collision.
Similarly, we can calculate the number of inputs required for the hash functions producing outputs of lengths 128 and 160 bits using the same formula.
Please note that these calculations provide approximate values based on the birthday paradox principle. The actual probability of collision may vary depending on the specific characteristics of the hash functions and the nature of the inputs.
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Which of the following is a better thesis statement? Freedom is not free. American’s veterans pay a high price for our freedom. America’s veteran’s defend our freedom, but they sacrifice their personal ambitions and their lives, and many of them suffer physically and mentally from their experiences.
Answer:
C). America’s veterans defend our freedom, but they sacrifice their personal ambitions and their lives, and many of them suffer physically and mentally from their experiences.
Explanation:
A good thesis statement must provide the central idea or theme of the paper or the essay in a capsule form along with its theoretical base. The key characteristics of a thesis statement are its arguability, specificity, and intensity. As per these descriptions, the above statement correctly relates the main point('America's...freedom') very clearly and precisely. It also contains the arguability which can be supported through further evidences.
need help bad, brainliest for non-irrelevant answers
Describe the quality control measures engineers likely will use for a newly introduced line of cars that use solar power to recharge high-capacity batteries. Propose at least three tests or processes that will be important to any quality assessment for such a vehicle system.
Answer:
Quality control measures they most likely use for a newly introduced would be safety and how its made.
Explanation:
If the latitude and longitude of a point in Puerto Rico are 17º59'39" and 65º27'56.7", respectively, what is the angle of convergence γ for this point?(answer in decimals)
The angle of convergence γ for the given point in Puerto Rico is approximately 114.53425 degrees.
To find the angle of convergence γ, we need to convert the latitude and longitude from degrees, minutes, and seconds to decimal degrees.
Latitude: 17º59'39"
To convert minutes and seconds to decimal degrees, we divide the minutes by 60 and the seconds by 3600.
17º + (59/60) + (39/3600) = 17.9941667º
Longitude: 65º27'56.7"
Following the same conversion process:
65º + (27/60) + (56.7/3600) = 65.46575º
Now, we can use the formula for calculating the angle of convergence γ:
γ = 180º - |longitude|
Substituting the longitude value:
γ = 180º - |65.46575º| = 180º - 65.46575º = 114.53425º
Therefore, the angle of convergence γ for the given point in Puerto Rico is approximately 114.53425 degrees.
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Which of the following creates a digest and does not create ciphertext that can later be decrypted? a. symmetric cryptography b. hash alhorithm c. asymmetric cryptography d. Message Digest Encryption (MDE)
Engineers study the properties of fluids, including viscosity and compressibility, to test the efficiency of systems under given conditions. True or False?
Answer:
True.
Explanation:
The compressibility of a fluid can be defined as a measure of the change in volume (density) with respect to the amount of pressure applied to the fluid. Thus, as the pressure of a compressible fluid increases, both its viscosity and density increases.
Some examples of compressible fluids are vapors, gases, air etc.
Additionally, the compressibility of fluids plays a significant role in the field of science such as in aerodynamics, fluid mechanics, thermodynamics etc.
Viscosity can be defined as a quantity expressing the magnitude of internal friction that restricts the ease of flow between parallel layers at some distance apart having unit speed relative to each other.
These properties of fluids, including viscosity and compressibility are usually being studied by engineers such as civil engineers, in order to test the efficiency of systems under given conditions.
Answer:
true
Explanation:
edge
An electric power plant uses solid waste for fuel in the production of electricity. The cost Y in dollars per hour to produce electricity is Y = 12+ .3x+.27x2, where x is in megawatts. Revenue in dollars per hour from the sale of electricity is 15x-.2x2. Find the value of X that gives maximum profit.
Answer:
15.64 MW
Explanation:
The computation of value of X that gives maximum profit is shown below:-
Profit = Revenue - Cost
= 15x - 0.2x 2 - 12 - 0.3x - 0.27x 2
= 14.7x - .47x^2 - 12
After solving the above equation we will get maximum differentiate for profit that is
14.7 - 0.94x = 0
So,
x = 15.64 MW
Therefore for computing the value of X that gives maximum profit we simply solve the above equation.
A bar of mild steel has a diameter of 75 mm and is placed inside a hollow aluminum cylinder ofinternal diameter 75 mmand external diameter 100 mm; both bar and cylinder are the same length. Theresulting composite bar is subjected to an axial compressive load of 1000 kN. If the bar and cylindercontract by the same amount, calculate the stress in each. The temperature of the compressed compositebar is then reduced by 150Cbut no change in length is permitted. Calculate the final stress in the bar and the cylinder if E(steel)= 200,000 N/mm^2, E(aluminum)= 80,000 N/mm^2, coefficient of linear expansion for steel= 0. 0000012/C and coefficient of linear expansion for aluminum= 0. 000005/C
According to the question: the Stress in cylinder is 1813 N/mm^2.
What is cylinder?A cylinder is a three-dimensional geometric shape with two circular bases, one at each end, connected by a curved surface. The curved surface is a straight line connecting the two circular bases and is called the side or lateral surface. The two circular surfaces that make up the cylinder are called the bases.
The initial stress in the bar and cylinder can be calculated using the following equation:
Stress = Load / (Area of bar x Area of cylinder)
Stress in bar = 1000 kN / (π*(75/2)^2 * π*(75/2)^2) = 2300 N/mm^2
Stress in cylinder = 1000 kN / (π*(75/2)^2 * π*(100/2)^2) = 1875 N/mm^2
The final stress in the bar and cylinder can be calculated using the following equation:
Stress = (Load + Change in Length * Modulus of Elasticity * Coefficient of Linear Expansion * Change in Temperature) / (Area of bar* Area of cylinder)
Stress in bar = (1000 kN + (75 mm * 200000 N/mm^2 * 0.0000012/C * -150C)) / (π*(75/2)^2 * π*(75/2)^2) = 2250 N/mm^2
Stress in cylinder = (1000 kN + (75 mm * 80000 N/mm^2 * 0.000005/C * -150C)) / (π*(75/2)^2 * π*(100/2)^2) = 1813 N/mm^2
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