The negative logic switch interface circuit is designed to allow an input signal that is low when the switch is pressed and high when the switch is not pressed.
This means that the circuit must be designed to respond to a low signal on the input pin when the switch is pressed and a high signal when the switch is released.
Step-by-step procedure to design a switch interface circuit:
Step 1: Draw the circuit diagram of the switch interface circuit. The circuit includes a switch and a resistor connected in series to the input pin of a digital IC.
Step 2: The output of the digital IC is connected to an LED with a current-limiting resistor.
Step 3: Connect the switch to the ground and the digital IC input. When the switch is not pressed, the input is connected to the power supply through a pull-up resistor. The output of the digital IC is high, so the LED is off.
Step 4: When the switch is pressed, the input is connected to the ground, and the digital IC input is low. The output of the digital IC is low, so the LED turns on. This indicates that the switch is pressed.
Step 5: The value of the pull-up resistor is determined by the characteristics of the digital IC and the input voltage. A typical value is between 4.7 kΩ and 10 kΩ.
The value of the current-limiting resistor is determined by the characteristics of the LED and the input voltage. A typical value is between 220 Ω and 1 kΩ.
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Using leftover paint colors is acceptable in a paint shop and will help cut down on waste.
True or false
Answer:
True
Explanation:
they put it through a process to be able to reuse it
Find E[x] when x is sum of two fair dice?
Answer:
When two fair dice are rolled, 6×6=36 observations are obtained.
P(X=2)=P(1,1)=
36
1
P(X=3)=P(1,2)+P(2,1)=
36
2
=
18
1
P(X=4)=P(1,3)+P(2,2)+P(3,1)=
36
3
=
12
1
P(X=5)=P(1,4)+P(2,3)+P(3,2)+P(4,1)=
36
4
=
9
1
P(X=6)=P(1,5)+P(2,4)+P(3,3)+P(4,2)+P(5,1)=
36
5
P(X=7)=P(1,6)+P(2,5)+P(3,4)+P(4,3)+P(5,2)+P(6,1)=
36
6
=
6
1
P(X=8)=P(2,6)+P(3,5)+P(4,4)+P(5,3)+P(6,2)=
36
5
P(X=9)=P(3,6)+P(4,5)+P(5,4)+P(6,3)=
36
4
=
9
1
P(X=10)=P(4,6)+P(5,5)+P(6,4)=
36
3
=
12
1
P(X=11)=P(5,6)+P(6,5)=
36
2
=
18
1
P(X=12)=P(6,6)=
36
1
Therefore, the required probability distribution is as follows.
Then, E(X)=∑X
i
⋅P(X
i
)
=2×
36
1
+3×
18
1
+4×
12
1
+5×
9
1
+6×
36
5
+7×
6
1
+8×
36
5
+9×
9
1
+10×
12
1
+11×
18
1
+12×
36
1
=
18
1
+
6
1
+
3
1
+
9
5
+
6
5
+
6
7
+
9
10
+1+
6
5
+
18
11
+
3
1
=7
E(X
2
)=∑X
i
2
⋅P(X
i
)
=4×
36
1
+9×
18
1
+16×
12
1
+25×
9
1
+36×
36
5
+49×
6
1
+64×
36
5
+81×
9
1
+100×
12
1
+121×
18
1
+144×
36
1
=
9
1
+
2
1
+
3
4
+
9
25
+5+
6
49
+
9
80
+9+
3
25
+
18
121
+4
=
18
987
=
6
329
=54.833
Then, Var(X)=E(X
2
)−[E(X)]
2
=54.833−(7)
2
=54.833−49
=5.833
∴ Standard deviation =
Var(X)
=
5.833
=2.415
How would you increase the size of the base unit of length in the metric system
A step-up transformer has an input voltage of 110 V (rms). There are 100 turns on the primary and 1500 turns on the secondary. What is the output voltage?
Answer:
V2= 1666.6 volts
Explanation:
Given data
primary turns N1= 100 turns
secondary turns N2= 1500 turns
primary voltage V1= 110 volts
secondary voltage V2= ?
We can solve for the output voltage using the turns ration sated below
Turns Ratio = N1 / N2 = V1 / V2
Substituting our given data into the expression we have
100/1500= 110/V2
Making V2 subject of formula we have
V2= 110/(100/1500)= 1666.6 volts
V2= 1666.6 volts
Hence the secondary voltage is 1666.6 volts
is it less expensive for companies to install wireless or wired networks? why?
Reduced installation costs – Installing WLANs might be considerably less expensive. Not every device on the network needs to have Ethernet wiring; just the wireless access points (WAP) must. Mobility - In terms of ease and flexibility, wired and wireless networks cannot be compared.
An access point, also known as a WLAN, is often found in a large building or workplace. It creates a wireless local area network. After connecting via Ethernet cable to a wired router, switch, or hub, an access point sends a WiFi signal to a predetermined area. A potential access point is any device or computer that users can use to access a network. A wireless LAN base station frequently serves as an access point. Despite the fact that access points are utilized in a number of wireless technologies, the phrase is most often used to describe a Wi-Fi network. making use of a wireless access point If traditional Ethernet cables cannot or would be difficult to connect, wireless access points are ideal for tying devices to networks.
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determine the minimum initial velocity v0 at which the ball must be kicked in order for it to just cross over the 3- m high fence.
The initial velocity v0 required for the ball to just cross over the 3-m high fence can be determined using conservation of energy. The initial kinetic energy of the ball must be equal to the potential energy it has when it reaches the top of the fence.
What is kinetic energy?Kinetic energy is the energy of motion. It is the energy associated with an object's motion or the motion of a particle. It is the energy associated with the movement of an object or particle, and can be transferred between objects or particles.
The initial kinetic energy of the ball is ½mv0², where m is its mass and v0 is its initial velocity. The potential energy of the ball at the top of the fence is mgh, where m is its mass, g is gravitational acceleration, and h is the height of the fence (3 m).
Therefore, the initial velocity v0 can be determined by equating the two equations:
½mv0² = mgh
v0² = 2gh
v0 = √(2gh)
Therefore, the minimum initial velocity v0 at which the ball must be kicked in order for it to just cross over the 3-m high fence is v0 = √(2gh), where g is the gravitational acceleration and h is the height of the fence.
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What is the output? for num in range(3): print (num + 5)
Answer: 5 6 7
Explanation:
you can run this in python and get this result
The output for the given program is: 5 6 7
What is Python Programming Language?This refers to the high-level language that was created and is used for data structures due to its OOP (object-oriented programming).
Hence, this python code asks for an array of numbers in the range of 3 and when that is found, it should make a display of the number and increment it.
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g A part made from annealed AISI 1018 steel undergoes a 20 percent cold-work operation. (a) Obtain the yield strength and ultimate strength before and after the cold-work operation. Determine the percent increase in each strength. (b) Determine the ratios of ultimate strength to yield strength before and after the cold-work operation. What does the result indicate about the change of ductility of the part
Answer:
A) - Yield strength before operation = 32 kpsi
- Ultimate Strength before operation = 49.5 kpsi
- Yield strength after operation = 61.854 kpsi
- Ultimate Strength after operation = 61.875 kpsi
- Percentage increase of yield strength = 93.29%
- Percentage increase of ultimate strength = 25%
B) ratio before operation = 1.55
Ratio after operation = 1
Explanation:
From online values of the properties of this material, we have;
Yield strength; S_y = 32 kpsi
Ultimate Strength; S_u = 49.5 kpsi
Modulus; m = 0.25
Percentage of cold work; W_c = 0.2
S_o = 90 kpsi
A) Let's calculate the strain(ε) from the formula;
A_o/A = 1/(1 - W_c)
A_o/A = 1/(1 - 0.2)
A_o/A = 1.25
Thus, strain is;
ε = In(A_o/A)
ε = In(1.25)
ε = 0.2231
Yield strength after the cold work operation is;
S'_y = S_o(ε)^(m)
Plugging in the relevant values;
S'_y = 90(0.2231)^(0.25)
S'_y = 61.854 kpsi
Percentage increase of yield strength = S'_y/(S'_y - S_u) × 100% = (61.854 - 32)/32 × 100% = 93.29%
Ultimate strength after the cold work operation is;
S'_u = S_u/(1 - W_c)
S'_u = 49.5/(1 - 0.2)
S'u = 61.875 kpsi
Percentage increase of ultimate strength = S'_u/(S'_u - S_u) × 100% = (61.875 - 49.5)/49.5 × 100% = 25%
B) Ratio of ultimate strength and yield strength before cold work operations is;
S_u/S_y = 49.5/32
S_u/S_y = 1.547
Ratio of ultimate strength and yield strength after cold work operations is;
S'_u/S'_y = 61.875/61.854 = 1
The ratio after the operation is less than before the operation, thus the ductility reduced.
Which of the following is a Dashboard Scoreboard for alignment of the business where information is constantly flowing through the Tiers so immediate actions can be taken?
Answer:
What is a dashboard?
A dashboard is an information management tool used to track KPIs, metrics, and key data points that are relevant to your business, department, or a specific process. Dashboards aggregate and visualize data from multiple sources, such as databases, locally hosted files, and web services. Dashboards allow you to monitor your business performance by displaying historical trends, actionable data, and real-time information.
Dashboards actually take their name from automobile dashboards and they are used in much the same way. For the sake of an analogy, let’s look at a car. There may be hundreds of processes that impact the performance of your vehicle if you look under the hood. Your car’s dashboard summarizes this using visualizations so you can focus on what matters most: safely driving your vehicle.
For businesses, there are hundreds of processes that impact your performance if you look ‘under the hood’, so to speak. And with a wealth of data made available these days, managing and extracting value from it can be difficult. Simplifying data analysis and distribution through tools like dashboards is a way to help businesses rev their engines and make smarter, better, faster data-driven decisions.
And a well designed dashboard levels up your approach to information management. Everyone in the business, regardless of role, has questions about your company performance, whether it be campaign performance, new wins, or churn rate. Dashboards bring everyone (and your metrics) together in one place to answer these questions.
Explanation:
Determine the Thevenin voltage of the circuit. please show steps, I'm trying to learn how to do it properly
The Thevenin voltage of the circuit is 9.75V.
How to find Thevenin voltage?To find the Thevenin voltage of the circuit, follow these steps:
Step 1: Identify the load resistor and remove it from the circuit.
In this circuit, there is no specific load resistor, so assume that we want to find the Thevenin voltage across the two terminals that are not connected to the 12V voltage source.
Step 2: Calculate the equivalent resistance of the circuit with the load resistor removed.
To find the equivalent resistance, we can use a combination of series and parallel resistor rules.
First, simplify the two parallel resistors R4 and R5 by using the formula:
1/Rp = 1/R4 + 1/R5
1/Rp = 1/2.2KΩ + 1/2.2KΩ
1/Rp = 2/2.2KΩ
Rp = 1.1KΩ
Now simplify the three resistors R1, R2, and Rp in series using the formula:
Rtotal = R1 + R2 + Rp
Rtotal = 100Ω + 47KΩ + 1.1KΩ
Rtotal = 48.2KΩ
Therefore, the equivalent resistance of the circuit with the load resistor removed is 48.2KΩ.
Step 3: Calculate the open-circuit voltage across the load resistor terminals.
To calculate the Thevenin voltage, determine the voltage across the two terminals that are not connected to the 12V voltage source. Do this by using voltage divider rule, where:
Vload = Vtotal × Rload / (Rtotal + Rload)
In this case, since load resistor is removed, set Rload to infinity, which means there is no current flowing through Rload and Vload is equal to the open-circuit voltage Vtotal.
Therefore, Vtotal = 12V × R2 / (R1 + R2 + Rp)
Vtotal = 12V × 47KΩ / (100Ω + 47KΩ + 1.1KΩ)
Vtotal = 9.75V
So the Thevenin voltage of the circuit is 9.75V.
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Calculate LER for the same wing if we increase the span to 0. 245 m. By increasing the span, we also increase the glider weight to 0. 0523 newtons
The LER of the same wing is 0.21 using the chord values.
What is LER?In agriculture, the term "land equivalent ratio" refers to the proportion of land area needed for monoculture (single-crop farming) to yield the same amount of yield as intercropping (polyculture).
The FAO defines the land equivalent ratio (LER) as the ratio of the area used for sole cropping to the area used for intercropping in order to produce an equal amount of yield at the same management level. The result is the sole-crop yields multiplied by the sum of the intercropped yield fractions.
We must use a chord, so I'm assuming that it is 0.045 m in length.
The formula provides the Area.
Area = span × chord
Area = 0.245 × 0.045
Area = 0.011 m²
We then divide the area obtained by the glider weight we obtain the final result.
LER = area / weight
LER = 0.011 / 0.0523
LER = 0.21
As a result, the Lee of the same wing is 0.21 using the chord values.
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3. (a) Describe the procedure of measuring the depth of modulation of an amplitude modulated (AM) wave using an oscilloscope with the internal timebase switched off and sketch the displayed waveform. (6 marks)
Acme Logistics provides "Less than truck load" (LTL) services throughout the U.S. They have several hubs where they use cross-docking to move goods from one trailer to another. Acme built its last hub 10 years ago, and it had 36 dock doors. The cost index at that time was 140, and the total cost was $6 million. Acme plans a new hub that will have 48 dock doors. The cost index now is 195, and Acme will use a capacity factor of 0.82. What is the estimated cost of the new hub?
Answer:
The answer is "$10.12 million"
Explanation:
To find the price of the 36 dock doors only at the current rate, just use the cost index.
\(C_n=C_k \times (\frac{I_n}{I_k})\\\\\)
\(= 6 \times \frac{195}{140} \\\\= \$ \ 8 \ million\)
Its current cost of 36 dock doors is, thus,\(\$ \ 8 \ million\). To calculate the price for 48 dock doors, just use the second formula now:
\(\to (\frac{C_A}{C_B})=(\frac{S_A}{S_B})^{X}\\\\\to C_A=C_B \times (\frac{S_A}{S_B})^{X}\\\\\)
\(=8 \times (\frac{48}{36})^{0.82}\\\\= \$ 10.12 \ million\)
Chad is working on a design that uses the pressure of steam to control a valve in order to increase water pressure in showers. Which statement describes what his design is dealing with? viscosity, the resistance to flow that fluids exhibit elasticity, the indicator of how easily a fluid will return to its original volume after a force is removed from the fluid compressibility, the property that describes the amount of volume that decreases when pressure is applied to a fluid hydraulics, the use and study of liquid fluids and their motions, behaviors, and interactions
Answer:
C: Viscosity, the resistance to flow that fluids exhibit
Explanation:
Did it on Edge :)
Answer:
C: Viscosity, the resistance to flow that fluids exhibit
Explanation:
250 volts are applied to a toaster oven which draws a current of 12 A.
What is the toaster oven's resistance?
Answer:
20.833 ohms
Explanation:
V = IR re-arrange
V/I = R
250 / 12 = 20.833 ( 20 5/6)
Complete the following two statements regarding quantum-mechanical concepts associated with the Bohr model of the atom and refinements that resulted from the wave- mechanical atomic model.
Two important quantum-mechanical concepts associated with the Bohr model of the atom are that eledtrons are particles moving in _________ electron energy is quantized into
(b) Two important refinements resulting from the wave-mechanical atomic model are that the electron position is described in terms of a ______ electron energy is quantized into both shells and subshells--each electron is characterized by ________, and ______ , and quantum numbers.
What is the difference between DIN and Yoke regulator?
Answer:
The main difference between a DIN and Yoke regulator is the way they are mounted. A DIN regulator is mounted directly to the cylinder, while a Yoke regulator is mounted to the cylinder using a yoke bracket. The DIN regulator is more compact and lightweight, while the Yoke regulator is more robust and can handle higher pressures. Additionally, the Yoke regulator is more adjustable and can be used for a wider range of applications.
A _________ is interesting only if the statistics computed from transactions covered by the rule are different than those computed from transactions not covered by the rule.
Answer: Quantitative association rule.
Explanation:
The quantitative rules of association apply to the basic type of rules of association which exists as X and Y, with X and Y consisting of a collection of numerical and/or categorical attributes. Unlike general association laws, where both the left and right sides of the law should have categorical (nominal or discrete) attributes, a numerical attribute must be included in at least one attribute of the quantitative association rule (left or right).
Value Engineering in the construction phase is just as systematic and formal as it is in the design phase. True or False.
True. Value Engineering (VE) is a systematic and formal process that can be applied to different phases of a construction project, including both the design phase and the construction phase.
While VE in the design phase focuses on identifying opportunities to reduce costs and improve the value of a project's design, VE in the construction phase focuses on identifying opportunities to reduce costs and improve the value of the project's construction process. During the construction phase, VE typically involves a review of the project's construction plans, specifications, and schedules to identify ways to optimize construction methods, materials, and equipment to reduce costs, increase efficiency, and improve the overall value of the project. The VE process may also involve identifying and evaluating alternative construction methods or materials that could provide cost savings or other benefits. Ultimately, the goal of VE in the construction phase is to ensure that the project is built in the most efficient, cost-effective manner possible, without sacrificing quality or performance.
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Determine the resultant R of the two forces applied to the bracket.
Write R in terms of unit vectors along the x- and y-axes shown.
The written form of R in terms of unit vectors along the x- and y-axes shown are; R Cos θ and R sin θ respectively.
Resolving forces along the x- and y-axesGiven that the force R, which is the resultant of the unit vectors given has magnitude R;
It follows that the resolved form of unit vector, R along the x- and y- axes is;
R(x) = R Cos θR(y) = R sin θ.Where, angle measure, θ = angle subtended by the resultant force with the horizontal.
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Write a Python program named DataByteConvert that asks the user to enter a Data in
MegaBytes (MB) Data is entered only in MegaBytes. The program will then present the
following menu of selections:
1. Convert to Bytes
2. Convert to KiloBytes (KB)
3. Convert to GigaBytes(GB)
4. Convert to TerraBytes(TB)
5. Quit the program
The program will convert the data in MegaBytes(MB) to bytes, kilobytes(KB), GigaBytes(MB),
or TerraBytes(TB), depending on the user's selection rounded to six decimals. Here are the
specific requirements:
• Write a void method named showKiloBytes, which accepts the number of
MegaBytes(MB) as an argument. The method should display the argument
converted to kilobytes(KB). Convert the MB to KB.
• Write a void method named showGigaBytes, which accepts the number of
MegaBytes(MB) as an argument. The method should display the argument
converted to Gigabytes(GB).
• Write a void method named show TerraBytes, which accepts the number of
MegaBytes(MB) as an argument. The method should display the argument
converted to TerraBytes(TB). Convert the MB to TB.
• Write a void method named showBytes, which accepts the number of MegaBytes
(MB) as an argument. The method should display the argument converted to
Bytes(B). Convert the MB to B
• Write a void method named menu that displays the menu of selections. This
method should not accept any arguments.
1. The program should continue to display the menu until the user enters 5 to quit the
program.
2. The program should not accept negative numbers for the data in MegaBytes.
3. If the user selects an invalid choice from the menu, the program should display an error
message.
4. Use Exponential format if needed when converted {:e) formats ...)
5. Use
6. Add comments to show what each function does.
The program to convert MegaBytes to either Bytes, KiloBytes, GigaBytes, or TeraBytes is found in the attached image.
The program defines five helper functions to help the program do its work. The functions are:
showBytes: Accepts an argument in megabytes, converts it by multiplying by 1048576, and prints the resultshowKiloBytes: Accepts an argument in megabytes, converts it by multiplying by 1024, and prints the resultshowGigaBytes: Accepts an argument in megabytes, converts it by dividing by 1024, and prints the resultshowTeraBytes: Accepts an argument in megabytes, converts it by dividing by 1048576, and prints the resultmenu: Displays the menu of options to either convert or quit the programWithin the Main Program, a while loop is used to make sure the menu continues to be presented to the user until the user selects the option to quit.
The inner while loop makes sure the user enters an option within the menu.
Once the user enters an option to convert, the program requests the value to be be converted, in MegaBytes. then an if statement selects the correct conversion function.
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the term applied to the chemistry of the body
Answer:
Biochemistry
Explanation:
Hope this helps :)
Answer:
Biochemistry
Have an amazing day!
a runway identified as runway 27 serves operations oriented to which approximate direction?
A runway identified as runway 27 serves operations oriented to the westward direction.
What are runways?
A runway is defined as an airport's paved surface. A runway is used for aircraft takeoff and landing operations. The most important runway, without a doubt, is the primary runway, which is the longest runway that has lighting and instrument landing aids. Runways are usually numbered based on their compass bearings, and they are designated L or R if two runways are close together but not parallel. It's worth noting that the numbers don't signify the degree to which the runway is off of a north-south heading, but rather the runway's magnetic bearing.
How to identify the approximate direction of operations from the runway designation?
A runway identified as runway 27 serves operations oriented to the westward direction. The runway numbering system is used to determine the runway direction, which is based on its magnetic direction from 0 to 359 degrees. These numbers are used to designate runway headings in tens, as well as for headings within ten degrees. Runway 27 would be the one with the magnetic heading of approximately 270 degrees (270-279). As a result, an aircraft taking off or landing on runway 27 would travel in an approximately westward direction.
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a fabric-based domed structure can last about how many years
A fabric-based domed structure can last for approximately 20 to 30 years with proper maintenance and care.
The lifespan of a fabric-based domed structure can vary depending on several factors. The quality of the fabric material, the structural design, environmental conditions, and maintenance practices all play a role in determining its longevity. High-quality fabrics made from durable materials, such as architectural-grade PVC or PTFE-coated fiberglass, tend to have a longer lifespan. Regular inspections, cleaning, and repairs are essential to ensure the integrity of the fabric and the structural components. Proper tensioning and periodic maintenance can help prevent issues such as sagging, tears, or UV degradation, which can affect the structure's lifespan.
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The U.S. Navy’s robotics lab at Point Loma Naval Base in San Diego is developing robots that will follow a soldier’s command or operate autonomously. If one robot would prevent injury to soldiers or loss of equipment valued at $1.5 million per year, how much could the military afford to spend now on the robot and still recover its investment in 4 years at 8% per year?
The question can be approached using the concept of present value of an annuity of $1. The equation for present value of an annuity of $1 is:
PV = A x [(1 - (1 + i)^-n) / i]
FV = 1 x (1 + i ) n
Now, consider the given information: If one robot would prevent injury to soldiers or loss of equipment valued at $1.5 million per year, it would provide an annual payment of $1.5 million. The recovery period is 4 years at 8% per year.The interest rate is 8% and the number of periods is 4 years or 4 periods. Substituting these values in the equation for present value of an annuity of $1, we get:
PV = 1.5 x 10^6 x [(1 - (1 + 0.08)^-4) / 0.08]PV = 1.5 x 10^6 x
[(1 - 0.6355) / 0.08]PV = 1.5 x 10^6 x 8.0293PV = $12,043,950
The military could afford to spend
$12,043,950
now on the robot and still recover its investment in 4 years at 8% per year.
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A pinion and gear pair is used to transmit a power of 5000 W. The teeth numbers of pinion
and gear are 20 and 50. The module is 5 mm, the pressure angle is 20o
and the face width is 45 mm. The
rotational speed of pinion is 300 rev/min. Both the pinion and the gear material are Nitralloy 135 Grade2 with a hardness of 277 Brinell. The quality standard number Qv is 5 and installation is open gearing
quality. Find the AGMA bending and contact stresses and the corresponding factors of safety for a
pinion life of 109
cycles and a reliability of 0.98
Answer:
mark me as a brainleast
Explanation:
209781
You installed a new 40 gallon water heater with a 54,000 BTUh burner. The underground water temperature coming into the house is 55F
How long will it take to heat the water in the tank to a normal setting of 120F.
Please show setup and explanation.
Answer:
For most uses you'll want your water heated to 120 F(49 C) In this example you'd need a demand water heater that produces a temperature rise and it will take about 2 hours
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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The flow between two infinitely flat parallel plates displays a parabolic profile, and is called plane Poiseulle flow.
a. True
b. False
Answer:
a. True
Explanation:
The study of fluids in a state of rest or in motion and the forces involved in it is called fluid mechanics. Fluid mechanics has a wide range of applications in the field of mechanical engineering as well as civil engineering.
When we study the flow of fluid between any two flat plates that is indefinitely flat and is parallel, the flow of the fluid is known as plane Poiseulle flow. The profile of a plane Poiseulle flow is parabolic.
The velocity profile of a plane Poiseulle flow is :
\($\frac{u(y)}{U_{max}}=1-\left(\frac{2y}{h}\right)^2$\)
Thus the answer is TRUE.
A jet issues from the side of a tank under a head of 2.7m. The side of the tank has an inclination of one horizontal and two vertical. The total depth of the tank is 5.8m. Determine the theoretical velocity of the jet as it strikes the plane 0.85m below the bottom of the tank.
Answer is not found in the given choices
22.411m/s
11.422m/s
42.211m/s
The theoretical velocity of the jet as it strikes the plane below the bottom of the tank is 8.343 m/s.
Given:
h₁ = 2.7 m (head of the tank)
h₂ = 5.8 m (total depth of the tank)
h = 0.85 m (height below the bottom of the tank)
g = 9.8 m/s² (acceleration due to gravity)
To determine the theoretical velocity of the jet as it strikes the plane below the bottom of the tank, Bernoulli's equation can be used.
The equation can be written as:
\(P_1 +\frac{1}{2} \rho v_1^2 + \rho gh_1 = P_2 + \frac{1}{2} \rho v_2^2 + \rho gh_2\)
Where:
P₁ and P₂ are the pressures at points 1 and 2,
v₁ and v₂ are the velocities at points 1 and 2,
ρ is the density of the fluid,
g is the acceleration due to gravity,
h₁ and h₂ are the heights at points 1 and 2.
It can be assumed that the pressure at both points is atmospheric pressure, so P₁ = P₂.
Also, since the velocity at point 1 is negligible compared to the velocity of the jet, the term \(\frac{1}{2} \rho v_1^2\) can be ignored.
Now, let's substitute the given values into Bernoulli's equation:
\(0 + 0 + \rho gh_1 = 0 + \frac{1}{2} \rho v_2^2 + \rho gh_2\)
Simplifying the equation, we have:
\(gh_1 = \frac{1}{2} v_2^2 + gh_2\)
\(v_2^2 = 2gh_1 + 2gh_2\\v_2 = \sqrt{(2gh_1 + 2gh_2)}\)
Substituting the given values:
\(v_2 = \sqrt{(2 \times 9.8 times 2.7 + 2 times 9.8 \times0.85)}\\v_2 = \sqrt{(52.92 + 16.67)}\\v_2 = \sqrt{69.59\\v_2 = 8.343 m/s\)
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