To use Chvorinov's Rule to predict the total solidification time of a casting process, we need to find the mold constant C. This constant depends on the material being cast, the mold material, and the mold geometry. Once we have C, we can use the formula:
t = C x (V/A)^n
where t is the total solidification time, V is the volume of the casting, A is the surface area of the casting, and n is an exponent that depends on the geometry of the casting and the mold.
In this question, we are asked to find the optimal parameter d for the riser design shown in the figure. A riser is a protrusion on the casting that helps feed molten metal into the casting as it solidifies, preventing defects like shrinkage and porosity.
To find the optimal parameter d, we need to consider the geometry of the riser and how it affects the volume and surface area of the casting. The figure shows a cylindrical riser with radius d and height 10. The casting itself is a rectangular block with dimensions 20 x 10 x 10.
To calculate the volume and surface area of the casting, we need to break it down into its component parts. The top surface has an area of 20 x 10 = 200. The bottom surface is the same. The four vertical sides each have an area of 10 x 10 = 100. Adding all of these together, we get:
A = 2 x 200 + 4 x 100 = 800
To calculate the volume of the casting, we multiply the length, width, and height together:
V = 20 x 10 x 10 = 2000
Now we need to consider how the riser affects these values. The volume of the riser is given by:
V_riser = πd^2h = πd^2 x 10
The surface area of the riser is given by:
A_riser = 2πdh + πd^2 = 2πd x 10 + πd^2
When the riser is solidified, it becomes part of the casting, so we need to add its volume and surface area to the values we calculated for the casting itself. The total volume is:
V_total = V + V_riser = 2000 + πd^2 x 10
The total surface area is:
A_total = A + A_riser = 800 + 2πd x 10 + πd^2
Now we can use Chvorinov's Rule to find the optimal value of d. We don't know the mold constant C or the exponent n, but we can assume they are constant for this casting process. Therefore, we can compare different values of d by calculating (V/A)^n for each value and choosing the one that gives the shortest solidification time.
Taking the ratio of volume to surface area, we get:
V/A = (V_total)/(A_total) = [2000 + πd^2 x 10]/[800 + 2πd x 10 + πd^2]
To find the optimal value of d, we need to differentiate this expression with respect to d and set the result equal to zero, since the minimum value of (V/A)^n occurs at a turning point. However, this differentiation is quite complicated and involves the product rule and chain rule, so we will use a numerical method to estimate the minimum value.
We can calculate (V/A)^n for different values of d and see which one gives the lowest value. We'll try values of d from 0.1 to 1 in increments of 0.1, and then values of d from 1 to 10 in increments of 1. We'll assume n = 2 based on typical values for rectangular blocks.
Here are the results:
d | V/A | (V/A)^2
---|-------|--------
0.1 | 1.071 | 1.148
0.2 | 1.084 | 1.174
0.3 | 1.100 | 1.203
0.4 | 1.120 | 1.236
0.5 | 1.143 | 1.271
0.6 | 1.170 | 1.311
0.7 | 1.202 | 1.355
0.8 | 1.238 | 1.404
0.9 | 1.279 | 1.458
1.0 | 1.326 | 1.518
2.0 | 1.710 | 2.925
3.0 | 2.126 | 4.521
4.0 | 2.605 | 6.797
5.0 | 3.154 | 9.987
6.0 | 3.780 | 14.421
7.0 | 4.494 | 20.485
8.0 | 5.308 | 28.620
9.0 | 6.236 | 39.319
10.0| 7.292 | 53.145
As we can see, the minimum value of (V/A)^n occurs at d = 0.3, which gives a value of 1.203. Therefore, the optimal parameter d for the riser design is 0.3.
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What size heater will be required to heat the water in a swimming pool from 70 degrees F to 72 degrees F in 1 hour if the appliance is 100% efficient and the pool holds 20,000 gallons of water?
A 176.19 kW heater would be required to heat the water in the pool from 70 degrees F to 72 degrees F in 1 hour, assuming the heater is 100% efficient.
How to find the power of the heaterTo calculate the size of the heater required to heat the water in the pool, we need to use the following formula:
Q = m x c x ΔT
where
Q is the amount of heat required,
m is the mass of the water being heated,
c is the specific heat of water, and
ΔT is the change in temperature.
First, we need to calculate the mass of the water in the pool.
One gallon of water weighs 3.79 kg hence 20 000 gallons will be 75 800 kg
Q = m x c x ΔT
Q = 75,800 kg x 4.184 J/g°C x (72°F - 70°F)
Q = 75,800 kg x 4.184 J/g°C x 2°F
Q = 634,294.4 joules
Now, we need to calculate the power of the heater required to deliver this amount of heat in 1 hour (3600 seconds):
Power = Q / t
Power = 634,294.4 joules / 3600 seconds
Power = 176.19 kW
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Technician a states that the aim of thread repair is to restore the thread to a condition that restores the fastening integrity. Technician b states that thread repairs can only be performed on internal threads. Who is correct?.
Both the Technician A and B are correct. Because the statement they have provided are true in both cases.
Who is a technician?Technicians are highly qualified individuals who primarily use technology in a variety of industries. They are familiar with the technical details of the different things they work with. They frequently use electricity or modern technology in their work.
Construction of tools or materials pertaining to a technician's area of study may be assigned to them. To make sure the equipment functions properly, they may also be tasked with performing diagnostics and other maintenance tasks. In the event of issues, technicians may also be required to carry out simple repairs. It's crucial for technicians to have sound analytical and decision-making abilities.
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When a customer goes to shop in a supermarket, he/she starts by filling all the items they need on the trolley. The customer then pushes the trolley to the trolley to the cashier who calculates the total cost of all the items and presents the same o the customer. Thereafter, the customer may decide to pay in cash or present a card. The credit card is then swiped by the cashier through a card reader that debits the same amount from the customer’s account. The cashier then returns the card to the customer. represent the above using a use-case diagram
A Use-Case Diagram (UCD)refers to all the possible interactions that a person or one system can possibly have with another system, represented in a graphical format.
There are four main constituents of a use-case diagram. They are:
The actors who interact with the systemthe systemthe use cases andthe lines that represent the relationshipsUCDs are used to
capture the requirements of a systemacquire the external persons' point of viewidentify risk factors associated with a project.See the attached picture and the link below for more about Use-Case Diagrams:
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rosbel or Janette lol baakkaaa
Answer:
t5g5gtttttttttttttttttttttttttttttttttttttttttttt
Explanation:gt555555555555555555555555555555555555555555555555
Answer:
dawbkjbjwwjhjfbfjewfaekfhawkjndwkja
Explanation: dum*as*
As the length of a welding cable increases, the amount of
resistance decreases.
True
False
Answer:
False
Explanation:
Resistance occurs when the flow of charge through a wire is hindered. Resistance of flow of charge increases where the cable length increases .In a longer cable the charge carriers and the atoms in the cable collide more resulting to higher resistance.
The correct answer choice is: False.
The first answer is incorrect because resistance to flow of charge in a cable has a direct relation with length of cable in that increase in length of conducting cable will result to increase in resistance to flow of charges through the cable, not decrease in resistance.
another word for a long-runout debris flow is _____, which comes from the german words for fall and stream
Another word for a long-runout debris flow is "lahar," which originates from the German words for "fall" and "stream."
A lahar refers to a type of debris flow that occurs on volcanic slopes, typically triggered by the rapid melting of snow and ice or heavy rainfall on volcanic deposits. It is characterized by a mixture of volcanic materials, such as ash, rocks, and water, flowing down the slope of a volcano at high speeds. Lahars can travel for long distances, often reaching valleys or low-lying areas far from the volcano.
The term "lahar" is derived from the Javanese language, but its origin can be traced back to the German words "lahmen" (to fall) and "wasser" (water). This name reflects the nature of a lahar as a torrential flow of material resembling a stream or river, resulting from the gravitational collapse of volcanic debris.
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“Snow Cover Area change Analysis for Kabul Basin”
Summarize how GIS & Remote Sensing is incorporated in this study.
GIS
The full for GIS is : Geographic Information System.
The GIS is a system of mapping that is used to create, analyze, manage and map all the types of data.
It is a method capturing, checking as well as displaying all the data that is related to the position of the surface of earth.
Remote Sensing
Remote sensing is defined as a process where the various physical characteristics of an area are constantly monitored and detected by a process of measuring the reflection of the emitted radiations at ta distance.
The snow covered areas of the Kabul basin can be monitored and analyzed by using the process of GIS and remote sensing.
They provide a continuous source of information and data about snow covered peaks, the amount of snow to the authorities.
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The gcf method returns the greatest common factor of parameters a and b, as determined by case I and case II. Write the gcf method below. You are encouraged to implement this method recursively.
The use GCF method is correctly illustrated recursively below
What is GCF (Greatest common factor)The GCF is the greatest common factor that can be used to correctly divide two or more numbers without a reminder.
For example,
The parameters 20 and 30, to know the greatest common factor, write out each factors of 20 and 30
The factors of 20 = 1, 2, 4, 5, 10, and 20
The factors of 30 = 1, 2, 3, 5, 6, 10, 15, and 30
Therefore the GCF = 10
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What type of switches shut off the flow of electricity immediately when they sense that the electrical current might no longer be flowing along the correct path?.
Circuit Breakers or Fuses: A circuit breaker is a switching device in a circuit that interrupts an irregular flow of current.
It uses an internal system of bounds or compact air to sense any changes in the current flow. It will 'break' the circuit open and cut the flow of current.
What component controls the flow of electricity by turning it on and off?
The breakers or switches handle the electricity. If too many devices on the same circuit are employed at the same time, an overload may occur. If there is an overload of electricity in any of the courses of the home, the breaker will open the course to stop the flow of electricity.
What switches are operated by humans to control power flow to outputs?
Hand switches are actuated by human touch. Limit controls are actuated by machine motion.
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A flexible pavement is constructed with 4 in. (10.16 cm) of hot mix asphalt wearing surface, 8
in. (20.32 cm) of emulsion/aggregate-bituminous base, and 8 in. (20.32 cm) of crushed stone
subbase. The subgrade has a soil resilient modulus of 10,000 psi (68.95 MPa), and M 2 and M 3
are equal to 1.0 for the materials in the pavement structure. The overall standard deviation is
0.5, the initial PSI is 4.5, and the TSI is 2.5. The daily traffic has 1080 20-kip (89.0-kN) single
axles, 400 24-kip (106.8-kN) single axles, and 680 40-kip (177.9-kN) tandem axles. How many
years would you estimate this pavement would last (i.e., how long before its PSI drops below a
TSI of 2.5) if you wanted to be 99% confident that your estimate was not too high, and if you
wanted to be 95% confident that your estimate was not too high?
Invent five new communication method wired or wireless you think would be practical
The five type of new communication method (both wire and wireless) are:
Social MediaSMS Text MessagingEmail MarketingDirect EmailVoice CallingWhat is a communication?This means the act of giving, receiving and sharing of information as well as talking, writing, listening or reading.
The types of Communication includes:
Verbal Communication: It occurs when we engage in speaking with others.Non-Verbal Communication: It occurs when what we speak often says more than the actual words.Written Communication: It occurs in an actual text or writing.Listening: It occurs when we pay attention to a speaker.The wired communication involves transmission of data over a wire-based communication technology while a wireless communication involves transmission of data without the use of a cable or wire.
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Suppose we change line 4 of Dijkstra's algorithm to the following: 4. while IQ1 > 1 This change causes the while loop to execute |V- 1 times instead of |V| times. Answer the following questions: 1) Let u be the leftover vertex in Q after the while loop terminates. If u is not reachable from s. then what is the value of u.d? 11) If u is reachable from s, then suppose there is a shortest path p = 5 ****u. When the node x is extracted from Q. what is the value of x.d? Express it with the shortest-paths weight notation d. After x is extracted, what happens to the edge (x, u) and u.d? 111 Combining step 1) and it), tell if such a modified version of Dijkstra's algorithm is correct or not.
The modified version of Dijkstra's algorithm with the while loop executing |V-1| times instead of |V| times may not produce the correct shortest paths.
1) If u is not reachable from s, then its value of u.d would remain infinity because it would not have been updated during the execution of the while loop since it was not reachable.
2) If u is reachable from s, then suppose there is a shortest path p = s -> ... -> x -> u. When node x is extracted from Q, its value x.d would represent the shortest distance from s to x along the path p. After x is extracted, the edge (x, u) would be relaxed and u.d would be updated to represent the shortest distance from s to u.
3) Combining steps 1 and 2, we can see that the modified version of Dijkstra's algorithm may not produce the correct shortest paths because it assumes that all vertices are reachable from s, which is not always the case. Therefore, it is important to include a check for unreachable vertices in the original algorithm to ensure that all vertices are considered in the shortest path calculations.
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A formal indication from a state, on letterhead, or an official state form, that shows the applicant has valid driving privileges and is clear to apply for a colorado driver's license is called what?
A formal indication from a state, on letterhead, or an official state form, which shows that an applicant has valid driving privileges and is clear to apply for a Colorado driver's license is called a clearance.
What is a learner's license?A learner's license is also referred to as learner's permit and it can be defined as a category of driver's license that is issued to an individual who is learning how to drive an automobile vehicle (car).
What is a license?A license is also referred to as a certificate and it can be defined as an authorization that is typically issued by state governments to a driver, so as to avail him or her the legal ability to physically driver in all the states across a country.
In this scenario, we can infer and logically deduce that a clearance is a formal indication from a state which shows and affirms that an applicant has valid driving privileges, and is permitted to apply for a Colorado driver's license.
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Select the four areas in which environmental engineers assist manufacturers with making decisions.
energy
pollution
money
time
development
creativity
Personally, I did the first 4, since pollution is a big factor, money and time can be helped with by making decision matrixes (usually done by the engineers to help the client) and energy, since that could also be decided using a decision matrix. Thank you for your help!
Answer:
In my opinion, Energy, Time, Money and Development
Answer:
Pollution, time, money, and energy.
Explanation:
What does the nurse know that the burn patient in the acute phase is at risk for? SATA
A. pneumonia
B. sepsis
C. infection
D. respiratory failure
The nurse knows that the burn patient in the acute phase is at risk for pneumonia, sepsis, infection, and respiratory failure.
Burn patients in the acute phase are at high risk for developing a range of complications due to the damage to their skin and other tissues. The loss of the skin's protective barrier function can make patients susceptible to infections, which can rapidly progress to sepsis, a life-threatening condition.
In addition to infections, burn patients are at risk for developing pneumonia due to compromised respiratory function and the risk of inhalation injury. The damage to the lungs can also lead to respiratory failure, which can be fatal.
To minimize these risks, it is important for nurses to closely monitor burn patients in the acute phase, administer appropriate treatments and medications as needed, and provide supportive care to help the patient recover. This can involve measures such as wound care, pain management, respiratory support, and fluid and electrolyte management.
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What type of system is used by a steam engine?
A steam engine uses fuel to heat water into steam which drives a turbine, thus converting heat into mechanical energy. The steam engine is a type of ______
system.
Answer:
Steampunk Mechanical
Explanation:
Your welcome
NEC 210.11(B) requires that load be evenly proportioned among the different circuits in a panelboard. This is normally performed at the load center panelboard by connecting branch-circuit wiring so that the connected load on the two ____________________ is as equal as possible.
The National Electrical Code (NEC) provides guidance for safely installing and maintaining electrical systems. NEC 210.11(B) states that the load must be evenly proportioned among the different circuits in a panelboard.
This is usually done at the load center panelboard by connecting branch-circuit wiring so that the connected load on the two poles is as equal as possible.This is because a typical single-phase electrical circuit is a two-wire circuit that includes a hot wire and a neutral wire. A panelboard has multiple branch-circuit breakers that distribute electrical power to the various loads in a building. These breakers are typically arranged in two columns, with one column for each hot wire.
When loads are unevenly distributed across the two hot wires, it can lead to overloaded circuits and overheating. This can result in tripped breakers, damage to equipment, and even fires. To prevent this, the load must be balanced as evenly as possible across both hot wires.One way to achieve this is to connect each load to a separate branch circuit, with each circuit connected to a different hot wire. Another option is to use a three-phase system, which includes three hot wires and a neutral wire.
In this system, the load is distributed across all three hot wires, ensuring that each wire carries an equal load.In conclusion, it is important to ensure that the load is evenly proportioned among the different circuits in a panelboard to prevent overloading and overheating. This can be achieved by connecting branch-circuit wiring so that the connected load on the two poles is as equal as possible.
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What two units of measurement are used to classify engine sizes?
1. An asbestos pad is square in cross section, measuring 5 cm on a side at its small end, increasing linearly to 10 cm on a side at the large end. The pad is 15 cm high. If the small end is held at 600 K and the large end at 300 K, what heat‐flow rate will be obtained if the four sides are insulated?2. Solve Problem for the case of the larger cross section exposed to the higher temperature and the smaller end held at 300 K.
My computer only plays sound when I wear my headphones
Answer:
so??
Explanation:
what's the question??
Answer:
Your computer must have different ports for speakers and microphones. Get a headset that has two cables, one for microphone and the other for a speaker
Explanation:
The old systems were having two ports whereas the modern headsets comes with only one lead. So, if you want to hear and speak from the headset, you must get an old one for it.
Determine the voltage input to the inverting terminal of an op amp when −40 μV is applied to the non-inverting terminal and the output through an open-loop gain of 150,000 is 15 V.
Answer:
The voltage input to the inverting terminal is 60μV
Explanation:
Given;
open-loop gain, A = 150,000
output voltage, V₀ = 15 V
voltage at the inverting input, \(V_n\) = −40 μV = 40 x 10⁻⁶ V
The relationship between output voltage and voltage at the inverting input is given as;
\(V_o = A(V_p -V_n)\\\\15 = 150,000(V_p -(-40*10^{-6}))\\\\15 = 150,000 (V_p +40*10^{-6}) \\\\V_p +40*10^{-6} = \frac{15}{150,000} \\\\V_p + 40*10^{-6} = 1 *10^{-4}\\\\V_p + 40*10^{-6} = 100 *10^{-6}\\\\V_p = 100 *10^{-6} - 40*10^{-6}\\\\V_p = 60 *10^{-6}\\\\V_p = 60 \ \mu V\)
Therefore, the voltage input to the inverting terminal is 60μV
Find the location of the poles of second-order systems with the following specification: %OS=10% and Tp =5 seconds.
The poles of the second-order system with OS=10 and Tp=5 seconds are located at -1.88 + j3.04 and -1.88 - j3.04.
The given specifications are:
OS=10 and
Tp=5 seconds
To find the location of the poles of a second-order system,
Use the following formula:
ζ = -ln(OS/100) / √(π²+ ln(OS/100)²)
ωn = π / (Tp √(1 - ζ²))
Once we have calculated ζ and ωn using the above formula,
We can find the location of the poles of the system using the following formula:
s = -ζ ωn ± j ωn √t(1 - ζ²)
Now implementing it,
ζ = -ln(10/100) / √(π² + ln(10/100)²)
= 0.591
ωn = π / (5 √(1 - 0.591²))
= 3.18 rad/sec
Using the formula for the poles of the system, we get:
s = -0.591 3.18 ± j 3.18 √(1 - 0.591²)
= -1.88 ± j3.04
Therefore, the poles of the second-order system with OS=10 and Tp=5 seconds are located at -1.88 + j3.04 and -1.88 - j3.04.
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What solution is recommended with a high-water condition, and until what objective is achieved?
When faced with a high-water condition, it is recommended to lower the water level until it reaches a safe and manageable level.
A high-water condition can be dangerous and cause damage to property and infrastructure. Lowering the water level is necessary to mitigate any potential risks and prevent further damage. This can be achieved through various methods such as pumping, drainage, or diversion of water.
It is important to continue monitoring the water level and take necessary measures until the situation is fully resolved. In cases where the high-water condition is caused by heavy rainfall or flooding, it may be necessary to involve local authorities or emergency services to ensure safety and efficient management of the situation.
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what is magnetization
Answer:described by direction and is either Axial or Diametric
Explanation:
Answer:
Magnetization is the density of magnetic dipole moments that are induced in a magnetic material when it is placed near a magnet.
Plumbing
The should indicate the materials, fixtures, and faucets to be
used.
A. specifications
B. plumbing code
C. mechanical code
D. plumbing instructor
Answer:
B....................
An infusion pump is a medical device that delivers fluids, such as nutrients and medications, into a patient's body in controlled amounts. Summarize the operation of infusion pump with its control system block diagram.
Answer:
Infusion pumps are medical devices that deliver fluids, medications, or nutrients into a patient's circulatory system . They consist of a control system, which regulates the rate and volume of infusion, and a delivery system, which delivers the fluids through various methods, such as intravenous, subcutaneous, or epidural. The control system typically includes a user interface to input infusion details, such as speed and volume, and a pump mechanism to deliver the fluids. Safety features are also available on some pumps to prevent errors and adverse events. However, infusion pumps have been linked to multiple patient safety concerns, and it is important to use them correctly and monitor patients closely. A block diagram of the infusion pump control system would include the user interface, pump mechanism, sensors for pressure and volume monitoring, and safety features, such as alarms and automatic shut-off. The exact design and components of the control system may vary depending on the type and make of the infusion pump.
Explanation:
When a technician is ohming out a load in a circuit, what reading should the technician get if the load is good
When a technician is ohming out a load in a circuit, the reading that the technician should get if the load is good is some numbers.
What does Ohming out a circuit mean?The term “Ohming out a motor” is known to be the act of measuring the electrical resistance that is present in the motor windings and comparing it with the normal values.
Note that When a technician is ohming out a load in a circuit, the reading that the technician should get if the load is good is some numbers as it will tell if there is a measure of comparison or not.
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The water level in a tank z1, is 16 m above the ground. A hose is connected to the bottom of the tank, and the nozzle at the end of the hose is pointed straight up. The tank cover is airtight, and the air pressure above the water surface is 2 atm gage. The system is at sea level. Determine the maximum height to which the water stream could rise. Take the density of water to be 1000 kg/m3.
Answer:
40.7 m
Explanation:
Let point 1 represent the surface of the water, point 2 be the top of the water trajectory and the reference be the bottom of the tank. Hence:
\(z_1=16\ m,P_1=2\ atm,V_1=0(velocity\ at\ the \ surface \ of\ water\ is\ low)\\V_2=0,P_2=P\\\\Using\ Bernoulli\ equation:\\\\\frac{P_1}{\rho g} +\frac{V_1^2}{2g}+z_1= \frac{P_2}{\rho g} +\frac{V_2^2}{2g}+z_2\\\\Sine\ V_1=0,V_2=0:\\\\\frac{P_1}{\rho g} +z_1=\frac{P}{\rho g} +z_2\\\\z_2=\frac{P_1}{\rho g} -\frac{P}{\rho g} +z_1\\\\z_2=\frac{P_1-P}{\rho g} +z_1\\\\z_2=\frac{P_{1.gage}}{\rho g} +z_1\\\\\)
\(z_2=\frac{2\ atm}{1000\ kg/m^3*9.81\ m/s^2}(\frac{101325\ N/m^2}{1\ atm} )(\frac{1\ kg.m/s^2}{1 \ N} ) +20\\\\z_2=20.7+20\\\\z_2=40.7\ m\)
World Without Engines: Explain what todays world without engines would be like? How would it change your life? The world? The way we do things? Please write in paragraph format and include introduction, body, and conclusion. DON'T ANSWER UNLESS YOU HAVE THE ANSWER!!!!!!!!! I WILL MARK BRAINLYEST
Answer:
the world will not be the same it will change dramticily and
things will not be the same
Explanation:
A regulator is required on a nitrogen cylinder to
A regulator is required on a nitrogen cylinder in order to reduce very high pressure within the gas cylinder to a safer pressure.
What is a regulator?A regulator can be defined as a mechanical device that is designed and developed to ensure that a controlled amount of nitrogen gas is supplied from a gas cylinder.
This ultimately implies that, a regulator is required on a nitrogen cylinder in order to reduce very high pressure within the gas cylinder to a safer pressure.
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