The state of stress at point A consider a three-dimensional differential element and the state of stress at point A is 32.08 N/mm². The magnitude of force F required to make the normal stress at point A zero is 35.49 N.
As given in the question,The diameter of the bar is 40mm.The bar is subjected to two force components (F1 and F2) and a torque (T) at its end as shown. The state of stress at point A: We can consider a three-dimensional differential element at point A.
The stress components on this differential element are shown in the figure below: Here,σxx, σyy, σzz, τxy, τxz, and τyz are stress components. At the point A, normal stress (σ) will act in the x-direction and y-direction (due to symmetry). Thus,σx = σy = σ. Similarly, no shear stress is acting on this plane,τxy = τxz = τyz = 0. Thus, the state of stress at point A is σ = σx = σy = 32.08 N/mm²
For part (c) of the question, For the normal stress at point A to become zero, we can balance the forces in the x and y directions. From the above figure, we can write in the x and y directions as:
Thus, the magnitude of force F required to make the normal stress at point A zero is 35.49 N.
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Both copper and stainless steel are being considered as a wall material for a liquid cooled rocket nozzle. The cooled exterior of the wall is maintained at 150°C, while the combustion gases within the nozzle are at 2750°C. The gas side heat transfer coefficient is known to be hᵢ = 2×10⁴ W/m²-K, and the radius of the nozzle is much larger than the wall thickness. Thermal limitations dictate that the temperature of copper must not exceed 540°C, while that of the steel must not exceed 980°C. What is the maximum wall thickness that could be employed for each of the two materials? For Cu, ρ = 8933 kg/m³, k = 378 W/m-K and for stainless steel, ρ = 7900 kg/m³, k = 23.2 W/m-K
a. The maximum thickness of the copper nozzle is 3.3 mm
b. The maximum thickness of the steel nozzle is 0.054 mm
The question has to do with heat transfer
What is heat transfer?Heat transfer is the movement of heat energy from one body to anotrher.
How to calculate the maximum wall thickness?Since the rate of heat loss by the gas equal rate of heat gain by the metal.
Rate of heat loss by gasThe rate of heat loss by gas is P = -hA(T - T') where
h = heat transfer coefficient of gas = 2 × 10⁴ W/m²-K, A = surface area of nozzle, T = maximum temperature of metal and T = Temperature of gas = 2750°CRate of heat gain by metalThe rate of heat gain by metal is given by P' = kA(T - T")/t where
k = thermal coefficient of metal, A = surface area of nozzle, T = maximum temperature of metal, T" = temperature of exterior wall of nozzle = 150°C and t = thickness of nozzle. Maximum thickness of nozzle.Since P = P', we have that
-hA(T - T') = kA(T - T")/t
Making t subject of the formula, we have
t = -k(T - T")/h(T - T')
a. Maximum thickness for copper nozzleGiven that for copper
T = 540°C and k = 378 W/m-KSubstituting the values of the variables into t, we have
t = -k(T - T")/h(T - T')
t = -378 W/m-K(540°C - 150°C)/[2 × 10⁴ W/m²-K(540°C - 2750°C)]
t = -378 W/m-K(390°C)/[2 × 10⁴ W/m²-K(-2210°C)]
t = 147420 W/m/4420 × 10⁴ W/m²
t = 147420 W/m/44200000 W/m²
t = 0.0033 m
t = 3.3 mm
So, the maximum thickness of the copper nozzle is 10.71 cm
b. Maximum thickness for steel nozzleGiven that for steel
T = 980°C and k = 23.2 W/m-KSubstituting the values of the variables into t, we have
t = -k(T - T")/h(T - T')
t = -23.2 W/m-K(980°C - 150°C)/[2 × 10⁴ W/m²-K(980°C - 2750°C)]
t = -23.2 W/m-K(830°C)/[2 × 10⁴ W/m²-K(-1770°C)]
t = 19256 W/m/3540 × 10⁴ W/m²
t = 19256 W/m/35400000 W/m²
t = 0.0000544 m
t = 0.0544 mm
t ≅ 0.054 mm
So, the maximum thickness of the steel nozzle is 0.054 mm
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A pressure gage connected to a tank reads 106 psi at a location where the atmospheric pressure is 759 mmHg. What is the absolute pressure in the tank in psi
Absolute pressure is the sum of gauge pressure and atmospheric pressure. The problem states that a pressure gauge connected to a tank reads 106 psi at a location where the atmospheric pressure is 759 mmHg.
We need to determine the absolute pressure in the tank in psi.To convert mmHg to psi, we will use the following conversion factor: 1 psi = 51.715 mmHg.
Therefore, atmospheric pressure is:759 mmHg × (1 psi / 51.715 mmHg) ≈ 14.69 psi Absolute pressure is: Gauge pressure + Atmospheric pressure= 106 psi + 14.69 psi= 120.69 psi Therefore, the absolute pressure in the tank is 120.69 psi .I hope this helps. Let me know if you have any further questions!
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Write a program to play the Card Guessing Game. Your program must give the user the following choices: - Guess only the face value of the card. - Guess only the suit of the card. - Guess both the face value and the suit of the card. Before the start of the game, create a deck of cards. Before each guess, use the function random_shuffle to randomly shuffle the deck.
how am I going to do this, I have a friend that might be able to help I will check
please I need dhelp asap
What is the shape of an airplane wing called?
air raid
airport
airfoil
Answer:
the answer is airfoil
Explanation:
hope the answer helps
Answer:
It is called the airfoil
Explanation:
The answer is D. ( airfoil) because an airport is a place. Air raid is a attack in the air and that only leaves airfoil, so airfoil is the correct answer.(Hoped that helped)
Springback in a sheet-metal bending operation is the result of which of the following (one best answer): (a) elastic modulus of the metal, (b) elastic recovery of the metal, (c) overbending, (d) overstraining, or (e) yield strength of the metal?
Springback in sheet-metal bending refers to the tendency of the metal to return to its original shape after being bent. This phenomenon occurs due to the elastic properties of the metal. In sheet-metal bending, the metal is subjected to plastic deformation, and this causes changes in the internal structure of the material. When the load is removed, the metal will tend to spring back to its original shape.
Option A is correct
The main factor responsible for springback is the elastic recovery of the metal, which refers to the ability of the material to regain its original shape after being deformed. The amount of springback depends on the elastic modulus of the metal, which is a measure of the stiffness of the material. In addition, overbending can also contribute to springback, as it causes the material to stretch beyond its elastic limit. Overstraining, on the other hand, can lead to permanent deformation and is not a major factor in springback. The yield strength of the metal is the point at which plastic deformation begins to occur, and it is not directly related to springback. However, it is important to consider the yield strength in sheet-metal bending operations, as exceeding this limit can lead to cracking or other defects in the material. In conclusion, the elastic recovery of the metal is the main factor responsible for springback in sheet-metal bending operations. Factors such as overbending and the elastic modulus of the metal can also influence the degree of springback. It is important to consider these factors when designing and executing sheet-metal bending processes to ensure that the final product meets the desired specifications.For such more question on deformation
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Springback is a common issue in sheet metal bending operations. It occurs when the metal tries to return to its original shape due to elastic recovery after being bent.
This can result in a deviation from the intended shape, which is undesirable. The elastic modulus, yield strength, overbending, and overstraining are all factors that affect the amount of springback, but the primary cause is the elastic recovery of the metal. This is because the metal undergoes plastic deformation during bending, which changes its shape permanently.
However, when the bending force is removed, the metal attempts to regain its original shape due to its elastic properties. To minimize springback, techniques such as overbending and bottoming can be used to account for the elastic recovery of the metal.
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.y() =1/T + 1 [(∗−∗)/∗ x (mx/mx) d() + (∗−∗)/∗ x (mx/mx) u()] Assuming a unity negative feedback loop, derive the following transfer functions
a. y ()
b. y ()
c. ()
d. ()
Assuming a unity negative feedback loop, we derived the transfer functions for the closed-loop system using the given equation.
To derive the transfer functions, we need to start by understanding the given equation and the terms involved in it. The equation represents a closed-loop system with feedback, where y() is the output, T is the transfer function of the open-loop system, and d() and u() are the input signals.
Assuming a unity negative feedback loop, the feedback signal is subtracted from the input signal, which means that the output is negatively related to the input. This is represented by the negative sign in front of the feedback term in the equation.
Now, to derive the transfer functions, we need to simplify the equation and express y() in terms of the input signals. After some algebraic manipulation, we get:
a. y() = (T*(d() - u()) + u()) / T
b. y() = T / (1 + T)
c. T() = T / (1 + T*(mx/mx))
d. T() = T*(mx/mx) / (1 + T*(mx/mx))
In these transfer functions, T represents the open-loop transfer function, and mx/mx is the ratio of the feedback path to the input path. The transfer functions help us understand how the input signals are transformed into the output signal in the closed-loop system.
In summary, assuming a unity negative feedback loop, we derived the transfer functions for the closed-loop system using the given equation. These transfer functions help us understand the relationship between the input and output signals and the role of the feedback loop in shaping the system's behavior.
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which indoor pollutant is commonly used in building materials, carpet backing, furniture, foam insulation, plywood, and particle board?
Formaldehyde is a indoor pollutant is commonly used in building materials, carpet backing, furniture, foam insulation, plywood, and particle board.
Pesticides are made comprised of both the active ingredient and chemicals that are used to transport the active agent. These carrier agents are referred to as "inerts" in pesticides because they are not poisonous to the insect that is being targeted, yet some inerts have the potential to harm human health. These substances, referred to as mutagens, work by directly changing the DNA sequence of a cell. Due to their size or structural characteristics, many mutagens are able to pass through nuclear and cellular membranes and interact directly with DNA, usually causing damage. A mixture of tiny liquid and solid particles that are in the air we breathe is referred to as particle pollution.
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please send me answer
Your friend offers to pay you $3,000 five years from now. You'd prefer the money now so you can put it in a bank account at 8% interest. How much less Should your friend pay you today in. order to be equivalent to her original offer ?
Answer:
$958.25
Explanation:
PV = FV(1 +r)^(-t) . . . . present value of an amount earning rate r compounded annually for t years
PV = $3000(1.08^-5) ≈ $2041.75
The equivalent present value is $2041.75.
__
This amount is less than the offered amount by ...
$3000 -2041.75 = $958.25
She should pay you $958.25 less in order to make the offers equivalent.
Hey guys can anyone list chemical engineering advancement that has been discovered within the past 20 years
The parallel used to create a 3225BB map is:
A. 32°S
B. 25°E
C. 25°S
D. 32°E
Answer:
D
Explanation:
The answer is D. 32°E, 25°S.
Let's break it down:
- A map with the designation "3225BB" has two parts:
1) The first two numbers indicate the latitude parallel used: 32°
Since it starts with 32, that means the parallel must be 32 degrees. The two options are 32°N or 32°S.
2) The second two numbers indicate the longitude meridian used: 25°
Since it starts with 25, the meridian must be 25 degrees. The two options are 25°E or 25°W.
- The "BB" at the end indicates both lower case letters. By convention, this signifies south latitude and east longitude.
So putting this all together, we can deduce that:
- The latitude parallel used was 32°S (option A is incorrect)
- The longitude meridian used was 25°E (options C is incorrect)
Therefore, the correct answer is D: 32°E, 25°S
Hope this breakdown helps! Let me know if you have any other questions.
Here are some additional details about map projections:
Map Projections
Maps are 2D representations of the 3D surface of the Earth. To accomplish this, mapmakers use mathematical projections that transform the sphere into a flat surface.
There are several common types of map projections:
• Cylindrical: The globe is visualized as if it were wrapped around a cylinder. This keeps angles accurate but distorts sizes and shapes.
• Conic: The map is projected onto a cone and unrolled. This keeps areas accurate near the center but distorts areas further away.
• Azimuthal: The map is projected onto a plane from the globe's center. This keeps distances accurate from the center point out but distorts shapes.
Using Parallels and Meridians
Regardless of the projection used, maps are oriented using latitude and longitude lines:
• Parallels: Circles parallel to the equator, denoted with degrees North (N) or South (S).
• Meridians: Lines of longitude that radiate from the North and South poles, denoted with degrees East (E) or West (W).
In the example, the map projection uses:
• A 32 degree South parallel - designating a latitude of 32 degrees South
• A 25 degree East meridian - designating a longitude of 25 degrees East
So by specifying those two coordinates, the map projection is oriented on the globe. The "BB" indicates southern and eastern orientation.
Hopefully this provides some additional context and background! Let me know if you have any other questions.
A platinum resistance temperature detector has a resistance of 100.00 V at 0°C, 138.50 V at 100°C and 175.83 V at 200°C. What will be the nonlinearity error in °C at 100°C if the detector is assumed to have a linear relationship between 0 and 200°C?
Answer:
about 1.54 °C
Explanation:
The error will be the difference between the temperature interpreted from the resistance value and the actual temperature. The linear equation used to translate the resistance reading to temperature will be ...
T = (200 -0)/(175.83 -100.00)(R -100.00)
T ≈ 2.637479(R -100)
At the temperature of 100°C, the resistance value of 138.50 will be interpreted to be a temperature of ...
T = 2.637479(138.50 -100) ≈ 101.543°C
This represents an error of 1.543°C relative to the actual temperature.
Which of the following statements are true?
A) Interfaces contain one and only one implemented method, which is a constructor.
B) Interfaces are defined inside an abstract class.
C) All methods defined in an interface must be implemented when used by another class.
D) A true object-oriented design must contain as least one interface.
How is conduit size calculated when wires of two or more sizes are used?
Divide the number of each gauge and kind of wires by the wire diameter is conduit size calculated when wires of two or more sizes are used.
What are some common uses of wire?Here are some typical applications for wire shapes. Additionally, a lot of electrical applications use wire shapes.
Baggage label clips. Electrical switchgear. Light fittings. Hooks. Telecommunications equipment. Textile machinery. Safety equipment.Thus, Divide the number of each gauge and kind of wires by the wire diameter
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1. A thin-walled cylindrical pressure vessel is capped at the end and is subjected to an internal pressure (p). The inside diameter of the vessel is 6 ft and the wall thickness is 1.5 inch. The vessel is made of steel with tensile yield strength and compressive yield strength of 36 ksi. Determine the internal pressure required to initiate yielding according to (a) The maximum-shear-stress theory of failure, and (b) The maximum-distortion-energy theory of failure, if a factor of safety (FS) of 1.5 is desired.
In an essay form investigate Weber's bureaucratic blueprint. Examine their advantages and disadvantages to both management and workers of any organization. Suggest how you can improve them (Weber's bureaucratic blueprint) and why? In so doing, discuss the main challenge(s) that confront your suggestions effectiveness? Use pacific island countries related examples to support your answer.
Max Weber was a sociologist and political economist who developed the concept of bureaucracy, which he regarded as the most efficient form of organization. Bureaucracy is a system in which decisions are made by the top-level executives and the lower-level employees are tasked with following the rules established by the top-level executives. The following is an examination of Weber's bureaucratic blueprint and the advantages and disadvantages it has for management and workers. In addition, suggestions for how to enhance it and the challenges to the efficacy of those suggestions will be discussed.
Advantages of Weber's Bureaucratic Blueprint
Weber's bureaucratic blueprint has several advantages for both management and workers. For management, bureaucracy is an effective way to manage resources, minimize waste, and increase productivity. It is based on a clear chain of command, which ensures that decisions are made by those who are qualified to make them and that all workers know their place in the organization. It also provides a sense of stability and consistency that can be reassuring to workers.
For workers, bureaucracy provides a clear set of rules and procedures to follow, which can help to eliminate ambiguity and reduce the risk of errors. It also provides a clear path for promotion and career advancement based on merit, rather than nepotism or favoritism.
Disadvantages of Weber's Bureaucratic Blueprint
Despite its advantages, Weber's bureaucratic blueprint also has several disadvantages. One of the major drawbacks is the rigid hierarchy that can stifle creativity and innovation. It can also lead to excessive bureaucracy, with too many layers of management and too much red tape. Additionally, bureaucracy can sometimes result in a loss of accountability, with workers becoming less motivated to take risks and make decisions because they feel they are not responsible for the outcomes.
Suggestions for Improvement and Challenges to Efficacy
One suggestion for improving Weber's bureaucratic blueprint is to implement a more flexible system that allows for greater creativity and innovation. This could be achieved by empowering workers to take more risks and make more decisions, while still maintaining a clear chain of command. Another suggestion is to simplify the bureaucracy by reducing the number of layers of management and streamlining procedures.
One challenge to the efficacy of these suggestions is resistance from workers who are used to the status quo and do not want to take on additional responsibilities. Another challenge is resistance from management, who may be concerned about losing control or reducing efficiency.
Pacific Island Countries Example
In many Pacific Island Countries, bureaucracy can be a serious challenge to economic development. The strict adherence to rules and procedures can stifle innovation and entrepreneurship. This has led to a lack of economic growth and employment opportunities. To address this, some countries have implemented more flexible systems that encourage innovation and entrepreneurship while still maintaining accountability and efficiency. For example, Samoa's Ministry of Commerce, Industry and Labour has implemented a "one-stop-shop" system that streamlines the process of starting a business.
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between what two elements does signal detection differentiate?
According to the question, signal detection differentiates between signal and noise.
What is signal?
Signal is a system for communicating information between two or more entities. It can be used for a wide range of applications, including the transmission of audio and video signals, data communications, and other types of information. Signals can be transmitted through various mediums, such as radio waves, electrical wires, fiber optics, and satellites. The signal is typically encoded in binary form, which consists of a sequence of 1s and 0s. These codes can be used to represent words, images, and other types of data. Signal processing is the process of receiving, interpreting, manipulating, and transmitting the signal. It involves a variety of techniques, such as digital signal processing, signal synthesis, signal analysis, and signal filtering. Signal processing is used in a wide range of applications, including communication, medical imaging, and radar.
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how does 2023 z’s available active noise cancellation reduce undesirable low-frequency engine sounds in the cabin?
The 2023 Z's available Active Noise Cancellation (ANC) system uses sound waves to reduce undesirable low-frequency engine sounds in the cabin. The system works by emitting sound waves that are 180 degrees out of phase with the unwanted engine noise.
ANC systems work by using microphones to measure the unwanted sound waves in the environment. These sound waves are then converted into electrical signals and sent to a processor. The processor then generates a signal that is 180 degrees out of phase with the unwanted sound waves.
This signal is then amplified and sent to speakers in the cabin. When the speakers emit the out-of-phase signal, it cancels out the unwanted sound waves, leaving the cabin quieter.
The 2023 Z's ANC system is particularly effective at reducing low-frequency engine noise. This is because low-frequency sound waves are more difficult to block with traditional soundproofing materials. The ANC system can effectively cancel out these low-frequency sound waves, making the cabin quieter and more comfortable.
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Which actions would the maintenance and operations crews carry out as a building is completed and preparing to open to the public? Select all that apply.
make any last minute repairs
install new equipment and furnishings
troubleshoot solutions to any lingering problems or malfunctions
determine which new residents or company employees will occupy which offices or residences
Answer:
1. make any last minute repairs
2. install new equipment and furnishings
3. troubleshoot solutions to any lingering problems or malfunctions
Explanation:
Given that the role or functions of maintenance and operations crews in building construction are to ensure that the building is maintained to the required standard of use.
This involves making sure that all repairs in a building are done. The equipment is properly installed and solved any form of equipment that malfunctions.
Hence, in this case, the correct answer is:
1. make any last-minute repairs
2. install new equipment and furnishings
3. troubleshoot solutions to any lingering problems or malfunctions
Answer:
1. make any last minute repairs
2. install new equipment and furnishings
3. troubleshoot solutions to any lingering problems or malfunctions
Explanation:
Chapter 07, Problem 065 The drag characteristics of an airplane are to be determined by model tests in a wind tunnel operated at an absolute pressure of 1300 kPa. If the prototype is to cruise in standard air at 406 km/hr, and the corresponding speed of the model is not to differ by more than 29% from this (so that compressibility effects may be ignored), what range of length scales may be used if Reynolds number similarity is to be maintained? Assume the viscosity of air is unaffected by pressure, and the temperature of air in the tunnel is equal to the temperature of the air in which the airplane will fly.
Answer:
the range of length scales is ( 0.0602 - 0.1094 )
Explanation:
Given the data in the question;
\(P_{absolute\) = 1300 kPa
V\(_{prototype\) = 406 km/h
speed of model nit more than 29%
we know that Reynolds number Re = pVl/μ = constant
p\(_m\)V\(_m\)l\(_m\)/μ\(_m\) = pVl/μ
such that;
l\(_m\)/l = ( p/p\(_m\) )( V/V\(_m\) )( μ\(_m\)/μ ) ----- let this be equation 1
Now, for an idea gas; P = pRT { with constant temperature }
p / p = constant; p/p\(_m\) = p/p\(_m\)
assuming μ\(_m\) = μ\(_m\)
Therefore, the relation becomes;
l\(_m\)/l = ( p/p\(_m\) )( V/V\(_m\) )
from the given data;
l\(_m\)/l = ( 101/1300 )( V/V\(_m\) )
where our V\(_m\) = ( 1 ± 29% )V
so
l\(_m\)/l = ( 101/1300 )( V / ( 1 ± 29% )V )
l\(_m\)/l = ( 101/1300 )( 1 / ( 1 ± 0.29 ) )
Now, The minimum limit will be;
l\(_m\)/l = ( 101/1300 )( 1 / ( 1 + 0.29 ) )
= ( 101/1300 ) × ( 1 / 1.29 )
= 0.0602
The maximum limit will be;
l\(_m\)/l = ( 101/1300 )( 1 / ( 1 - 0.29 ) )
= ( 101/1300 ) × ( 1 / 0.71 )
= 0.1094
Therefore, the range of length scales is ( 0.0602 - 0.1094 )
Tech A says that a mechanical pressure regulator exhausts excess fluid back to the transmission pan. Tech B says that if the transmission pan is removed, the magnet must be replaced. Who is correct?
Answer:
A
Explanation:
when a restaurant guest settles the check with __________, the server must get an approval code.
When a restaurant guest settles the check with a credit card, the server must get an approval code. Credit card is a widely accepted method of payment in many restaurants and other service industries.
A credit card is a plastic card issued to an individual who can then use it to borrow money with the promise of paying it back along with the extra amount charged by the lender. It’s a kind of loan where the lender charges interest on the amount that was borrowed. Credit cards are the most popular payment method in the modern-day as they are convenient, and they offer various perks, such as rewards, cashback, and discounts.Credit card processing involves several parties: cardholder, card issuer, acquirer, payment processor, and merchant. The cardholder is the person who owns the credit card, and the card issuer is the bank that issued the card. Payment processing is the communication between the customer, their bank, and the merchant to complete a transaction. The merchant must have an approved merchant account and payment gateway to accept credit cards.When a restaurant guest pays with a credit card, the server must get an approval code from the credit card company to ensure that the payment is authorized. An approval code is a set of numbers that the payment processor sends to the restaurant's POS system to approve the transaction. Without an approval code, the payment is not processed, and the transaction is canceled.
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What is the ls option that prints the author of a file?
Answer:
You need to use option '–author' along with option '-l' to print the author name of each file.
Explanation:
hopefully this helps you sorry if it doesn’t help you
how many pairs of wires get switched when making a gigabit ethernet crossover cable
Answer:ALL FOUR PAIRS
Explanation: first major difference is the gigabit standards require the use of all four pairs (all eight wires), unlike Fast Ethernet which only utilizes two pairs of wires. As a result, in Gigabit Ethernet, all four pairs must be crossed when building a Crossover cable
When making a Gigabit Ethernet crossover cable, two pairs of wires get switched. Ethernet cables are used to connect computer networks that enable communication between different devices. The two most popular types of Ethernet cables are crossover and straight cables.
Ethernet cables use four pairs of wires to transmit data, out of which two pairs are utilized for transmitting and two pairs are used for receiving. In a straight-through Ethernet cable, the wire arrangement is identical at both ends. For this reason, a straight-through cable is employed to connect devices that belong to the same category. In contrast, a crossover Ethernet cable is employed to connect devices belonging to different categories. A crossover cable reverses the transmitting and receiving pairs, allowing the devices to communicate with one another. In a Gigabit Ethernet crossover cable, two pairs of wires are swapped or switched. These pairs are Pins 1-2 (White and Orange) and Pins 3-6 (White and Green). Therefore, we can conclude that two pairs of wires get switched when making a Gigabit Ethernet crossover cable.
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All of these are types of wheel alignments EXCEPT:
A) four-wheel.
B) steering angle.
C) two-wheel.
D) thrust angle.
Answer:
thrust angle
Explanation:
good luck.........
a river reach has flow of 350 ft3 /sec in trapezoidal channel with a bottom width of 14 ft and side slopes of 7:2 (h:v). the channel reach is 1300 ft long. channel bottom elevations at upstream and downstream of the reach are 146 ft and 141 ft, respectively. estimate the channel depth. the channel roughness is equivalent to earth, uniform section, graveled soil.
The estimated channel depth (\(\(y\)\)) is approximately 0.714 ft or 8.57 inches.
Understanding Channel DepthTo estimate the channel depth in the given trapezoidal channel, we can use the concept of energy equation for flow in open channels. The energy equation for this case is as follows:
\(\[E_1 + \frac{V_1^2}{2g} + z_1 = E_2 + \frac{V_2^2}{2g} + z_2 + h_L\]\)
Where:
\(\(E_1\)\) and \(\(E_2\)\) are the specific energies at upstream and downstream locations, respectively.
\(\(V_1\)\) and \(\(V_2\)\) are the velocities at upstream and downstream locations, respectively.
\(\(g\)\) is the acceleration due to gravity (approximately 32.2 ft/s²).
\(\(z_1\)\) and \(\(z_2\)\) are the elevations at upstream and downstream locations, respectively.
\(\(h_L\)\) is the head loss due to friction between the two locations.
The trapezoidal channel flow area \((\(A\))\) can be expressed as:
\(\[A = (b + 2zy) y\]\)
Where:
\(\(b\)\) = bottom width of the channel (14 ft)
\(\(z\)\) = side slope (7:2, h:v) = 7
\(\(y\)\) = channel depth (unknown)
The channel velocity \((\(V\))\) can be calculated as:
\(\[V = \frac{Q}{A}\]\)
Where:
\(\(Q\)\) = flow rate (350 ft³/s)
We can assume that the channel is running full, which means the depth of flow (\(\(y\)\)) is equal to the flow depth (\(\(d\)\)).
Now, let's solve for the channel depth (\(\(y\)\)):
Step 1: Calculate the cross-sectional area (A) of the channel:
\(\[A = (14 + 2 \cdot 7 \cdot y) \cdot y = (14 + 14y) \cdot y = 14y + 14y^2\]\)
Step 2: Calculate the flow velocity (V) using the flow rate (Q) and cross-sectional area (A):
\(\[V = \frac{Q}{A} = \frac{350}{14y + 14y^2}\]\)
Step 3: Calculate the specific energy (E) at the upstream and downstream locations:
\(\[E_1 = \frac{V^2}{2g} + z_1 = \frac{\left(\frac{350}{14y + 14y^2}\right)^2}{2 \cdot 32.2} + 146\]\)
\(\[E_2 = \frac{V^2}{2g} + z_2 = \frac{\left(\frac{350}{14y + 14y^2}\right)^2}{2 \cdot 32.2} + 141\]\)
Step 4: Write the energy equation between the upstream and downstream locations:
\(\[\frac{\left(\frac{350}{14y + 14y^2}\right)^2}{2 \cdot 32.2} + 146 = \frac{\left(\frac{350}{14y + 14y^2}\right)^2}{2 \cdot 32.2} + 141 + h_L\]\)
Step 5: Cancel out the terms and solve for \(\(h_L\)\):
\(\[h_L = z_1 - z_2 = 146 - 141 = 5\]\)
Step 6: Calculate the flow depth (\(\(y\)\)) using the head loss (\(\(h_L\)\)):
\(\[y = \frac{h_L}{z} = \frac{5}{7} = 0.714\]\)
Therefore, the estimated channel depth (\(\(y\)\)) is approximately 0.714 ft or 8.57 inches.
Learn more about channel depth here:
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9. Calculate the total resistance and current in a parallel cir-
cuit with three resistors of 4, 8, and 16 ohms, using any
one of the five methods (calculator suggested). What is
the total resistance and current?
a. 27 ohms (0.4 ampere)
b. 14 ohms (0.8 ampere)
c. 4 ohms (3.0 amperes)
d. 2.3 ohms (5.3 amperes)
Answer:
d. 2.3 ohms (5.3 amperes)
Explanation:
The calculator's 1/x key makes it convenient to calculate parallel resistance.
Req = 1/(1/4 +1/8 +1/16) = 1/(7/16) = 16/7 ≈ 2.3 ohms
This corresponds to answer choice D.
__
Additional comment
This problem statement does not tell the applied voltage. The answer choices suggest that it is 12 V. If so, the current is 12/(16/7) = 21/4 = 5.25 amperes.
R-744 refrigerant is bad why
Answer:
Explanation:
R-744 is seen as the 'perfect' natural refrigerant as it is climate neutral and there is not a flammability or toxicity risk. It is rated as an A1 from ASHRAE. While it is non-toxic there is still risk if a leak occurs in an enclosed area as R-744 will displace the oxygen in the room and could cause asphyxiation
64A geothermal pump is used to pump brine whose density is 1050 kg/m3at a rate of 0.3 m3/s from a depth of 200 m. For a pump efficiency of 74 percent, determine the required power input to the pump. Disregard frictional losses in the pipes, and assume the geothermal water at 200m depth to be exposed to the atmosphere.
Answer:
835,175.68W
Explanation:
Calculation to determine the required power input to the pump
First step is to calculate the power needed
Using this formula
P=V*p*g*h
Where,
P represent power
V represent Volume flow rate =0.3 m³/s
p represent brine density=1050 kg/m³
g represent gravity=9.81m/s²
h represent height=200m
Let plug in the formula
P=0.3 m³/s *1050 kg/m³*9.81m/s² *200m
P=618,030 W
Now let calculate the required power input to the pump
Using this formula
Required power input=P/μ
Where,
P represent power=618,030 W
μ represent pump efficiency=74%
Let plug in the formula
Required power input=618,030W/0.74
Required power input=835,175.68W
Therefore the required power input to the pump will be 835,175.68W
can someone please help me with this
I've an exams tomorrow
Answer:
I am in Eight Grade
Explanation: