Transfer function is the relationship between the output and the input in the frequency domain. The transfer function for this process is:
T(s)/Q(s) = 0.05/ (9s^2+12s+1)(b)
To determine the values of τ and ζ, we need to identify the denominator of the transfer function.
We have,9s^2+12s+1 = ωn^2 s^2 + 2ζωn s + ωn^2where, ωn = natural frequencyζ = damping ratio
Therefore, ωn^2 = 9, 2ζωn = 12ζ = 12/ (2*9)^0.5τ = 1/ ωn = 1/3(c) At t= 0,
Q changes from 5000 kcal/min to 6000 kcal/min.
To determine the temperature after 2 minutes, we need to use the step response of the transfer function. The step response of the second order system is:
T(t) - T(ss) = (1 - e^(-ζωn t))/ (ωn (1 - ζ^2)^0.5) * e^(-ζωn t)
where, T(ss) = 350 oC is the steady-state temperature,
ωn = 3, ζ = 4/ (2*9)^0.5 = 0.942, and the input is 0.05* (6000-5000) = 50
kcal/min.T(2 minutes) = T(ss) + (T(0) - T(ss)) * [1 - e^(-ζωn t)]/ (ωn (1 - ζ^2)^0.5)
e^(-ζωn t)T(2 minutes) = 350 + (0 - 350) * [1 - e^(-0.942*3*2)]/ (3* (1 - 0.942^2)^0.5)
T(8 minutes) = T(ss) + (T(0) - T(ss)) * [1 - e^(-ζωn t)]/ (ωn (1 - ζ^2)^0.5)
(-ζωn t)T(8 minutes) = 350 + (0 - 350) * [1 - e^(-0.942*3*8)]
Therefore, the exit temperature T is 335.33 oC after 2 minutes and 348.82 oC after 8 minutes.
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what is time dependent
Answer:
Adjective. time-dependent (not comparable) (mathematics, physics) Determined by the value of a variable representing time.
Explanation:
Plz mark brainliest thanks
Answer: Adjective. time-dependent (not comparable) (mathematics, physics) Determined by the value of a variable representing time
If the circuit current is 3 A, what is the value of R3?
72 volts
R1= 36Ω
R2= 50 Ω
R3=?
Answer:
22 Ω
Explanation:
0) to re=write the given schema;
1) to write common equation of U[V];
2) to calculate the value of the current I₁ [A];
3) to write the common equation of current I [A];
4) to calculate the value of the current I₂₃ [A];
5) to calculate the value of R₃ [Ω] using the common equation of U.
1. You use
switches when you
have two switches controlling one or more
lights.
single pole
4-way
2-way
3-way
What signal propagation phenomena causes the diffusion, or the reflection in multiple different directions, of a signal?
In the radio communication system, multipath is the propagation phenomenon that causes diffusion or reflection in multiple different directions of a signal.
Multipath is a propagation mechanism that impacts the propagation of signals in radio communication. Multipath results in the transmission of data to the receiving antenna by two or more paths. Diffusion and reflection are the causes that create multiple paths for the signal to be delivered.
Diffraction occurs when a signal bends around sharp corners; while reflection occurs when a signal impinges on a smooth object. When a signal is received through more than one path because of the diffraction or reflection, it creates phase shifting and interference of the signal.
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Design a septic system with gravity flow subsurface soil adsorption for a three-bedroom house with two baths and a basement that is currently occupied by a family of four. The building site is depicted in topographic map A and in the cross sectional transects A3-C3, A2-C2, A1-C1. Based on an initial site investigation, soil percolation tests were conducted in areas C1 and A3 to assess their suitability as locations for the absorption bed. The pertinent data from these tests is given below.
Area Cl Water Level Drop in Inches per 30 Minute Interval Percolation Rate (min/in Hole 1 13.56.57.361.24.221.221.211.2 65 .92.75.71 2.2 1.781.1.78 63 65 3 2.441.46 1.02 7 4 51.85 1.5 .92.87.8 1.76.781.6 1.441.36.28 1.26 1.26 .78 .78.78 Average: Area A3 Water Level Drop in Inches per 30 Minute Interval Percolation Rate (min/in Hole 1 3 5 1.340.940.900.88 0.840.78 0.76 0.75 2 1.45 1.18 0.98 0.92 0.90.88 0.880.86 3 0.980.88 0.840.81 0.820.800.790.77 1.140.960.90.870.850.84 0.82 0.83 1.211.02 0.920.880.85 0.830.82 0.81 4 Average:
Your solution to this exercise should include the following and should be in accord with the State of Virginia "Sewage Handling and Disposal Regulations" (A summary of the appropriate regulations is available within the course notes):________.
a) The design of an appropriately sized septic tank. This design should include a fully labeled sketch that notes all appurtenances
b) The design for a complete gravity, subsurface trench drainfield system. Depict your system on the layout sketch for the site and note all setback distances. Discuss the reasons behind your choice of a location for the drainfield,
c) If you were to utilize a bed-based design, how would the surficial area of your drainfield change?
AC motor characteristics require the applied voltage to be proportionally adjusted by an AC drive whenever the frequency is changed. True or false?
giúp em làm câu này với ạ em cám ơn em cần gấp lắm
Answer:
the problem I see real people here to have that much respect that is not going in that direction or the best.
Help, quick please. I need help with my engineering word problem
Answer:
a
Explanation:
Which vegetation type do you think will cause fire to spread the fastest?
Explain why you chose that answer.
Answer:B
Explanation: Dead Grass more flammable than wood and Green grass contains water.
consider a mach 3 flow at 3 atm pressure initially moving over a flat horizontal surface. the flow then encounters a 20 degree expansion corner, followed by a 20 degree compression corner that turns the flow back to the horizontal. calculate the pressure of the flow downstream of the compression corner. (round the final answer to three decimal places.)
Therefore, the pressure of the flow downstream of the compression corner is approximately 26.274 atm.
To calculate the pressure of the flow downstream of the compression corner, we can use the conservation of total pressure across the expansion and compression corners. Assuming ideal gas behavior, the total pressure remains constant throughout the flow.
Given:
Mach number (M) = 3
Pressure (P1) = 3 atm
Expansion corner angle (θ1) = 20°
Compression corner angle (θ2) = 20°
We can use the following equation to calculate the pressure downstream of the compression corner:
P2 = P1 * (1 + [(γ - 1) / 2] * M^2)^(γ / (γ - 1))
where:
P2 is the pressure downstream of the compression corner
γ is the specific heat ratio of the gas
For air, the specific heat ratio (γ) is approximately 1.4.
Let's plug in the values and calculate the pressure:
P2 = 3 * (1 + [(1.4 - 1) / 2] * 3^2)^(1.4 / (1.4 - 1))
Simplifying the equation:
P2 = 3 * (1 + [0.4 / 2] * 9)^1.4
P2 = 3 * (1 + 0.2 * 9)^1.4
P2 = 3 * (1 + 1.8)^1.4
P2 = 3 * (2.8)^1.4
P2 ≈ 3 * 8.758
P2 ≈ 26.274 atm
Roundingto three decimal places:
P2 ≈ 26.274 atm
Therefore, the pressure of the flow downstream of the compression corner is approximately 26.274 atm.
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DNA can be represented as strings constructed from an alphabet of four characters: {A,C,G,T}. We can thus construct 4? = 16,384 possible different DNA strings of length 7. If we were to construct a well-balanced Binary Search Tree containing all 16,384 possible DNA strings of length 7, what would be the height of our BST? Measure "height" as the number of edges, not nodes, from the root to a leaf.
In order to answer this question, we first need to understand what a Binary Search Tree (BST) is and how it works. A BST is a binary tree data structure in which each node has at most two children, commonly referred to as the left and right child.
Additionally, in a BST, the left child of a node must have a value less than the value of the node, while the right child must have a value greater than the node. Given that we have 16,384 possible DNA strings of length 7, we can construct a well-balanced BST by taking the middle string as the root of the tree and recursively inserting the strings on the left or right of the root based on their alphabetical order.
In a well-balanced BST, the height of the tree is proportional to the logarithm of the number of nodes in the tree. Specifically, the height of a BST containing N nodes is approximately log2N, where log2 denotes the logarithm to base 2. In our case, we have 16,384 possible DNA strings of length 7. Taking the logarithm base 2 of this number gives us: log2(16384) = 14 Therefore, the height of our well-balanced BST would be approximately 14 edges from the root to a leaf.
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Simplify this simple series/parallel circuit into one
(1) resistor connected to the 220Vdc source. Use
Ohm's Law to solve for the voltage across the
resistors that have voltmeters attached, as well as
the currents through resistors that have ammeters
attached. Use Watt's Law to calculate power
consumed in the specified resistors.
To simplify a series/parallel circuit into a solitary resistor and determine the voltage dispersed along said resistors via voltmeters, adhere to these guidelines:
The Guidelines- Recognize the corresponding associations - i.e., sequential or parallel within the current transmission.
- Compute the equalizing resistance for each of the proportionate sequential and proportional equivalents separately.
- Computationally conclude the comprehensive equivalent resistance spanning throughout the entirely conduit.
- Determine the cumulative intensity flowing throughout the confined area.
- Using Ohm's Law calculate the volts per resistor with an indicator-voltmeter approach.
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draw the fbd that is required to determine the internal forces at point j. (you must provide an answer before moving on to the next part.) the fbd that is required to determine the internal forces at point j is
The FBD (Free Body Diagram) that is required to determine the internal forces at point J should include all external forces acting on the system and any reactions or forces present at point J.
This FBD will allow for the determination of the internal forces, such as shear forces and bending moments, at point J.
To determine the internal forces at point J, you need to draw a Free Body Diagram (FBD). In this FBD, you should include all the external forces acting on the object at point J, such as gravitational force, tension, friction, and any applied forces. Once you have drawn the FBD, you can use equilibrium equations (sum of forces in horizontal and vertical directions equals zero) to solve for the unknown internal forces. After finding the internal forces at point J, you can move on to the next part of your problem. Forces are physical quantities that describe the interactions between objects or systems. They can cause a change in motion or deformation in an object. Some common types of forces include gravitational force, electromagnetic force, frictional force, and normal force. Forces can be described by their magnitude, direction, and point of application. Newton's laws of motion provide a framework for understanding the behavior of objects under the influence of forces. Understanding forces is essential in many fields, including physics, engineering, and biomechanics, as it allows for the prediction and control of the behavior of systems under different conditions.
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explain the working and performance of a centrifugal clutch with a sketch
Answer:
A centrifugal clutch works, as the name suggests, through centrifugal force.
One of the most common methods is by mounting the clutch onto the parallel or taper crank shaft of the engine.
When the crank shaft rotates the shaft of the clutch rotates at the same speed as the engine
in some expensive cookware, the pot is made of copper but the handle is made of stainless steel. T/F?
Answer: False
Explanation:
The given statement "In some expensive cookware, the pot is made of copper but the handle is made of stainless steel" is True because, in some expensive cookware, the pot is made of copper while the handle is made of stainless steel.
Copper is an excellent conductor of heat and provides even heat distribution, making it a popular choice for cookware. However, copper is a reactive metal and can react with acidic foods, causing a metallic taste and discoloration. To avoid this, cookware manufacturers use a non-reactive material such as stainless steel for the handles, which is durable and does not react with food.
Stainless steel also provides a good grip and stays cool to the touch even when the pot is heated. The combination of copper and stainless steel in cookware provides the best of both worlds – excellent heat distribution and a durable, non-reactive handle. This type of cookware is often more expensive due to the use of high-quality materials and craftsmanship.
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A live load on a house includes the
A.Weight of snow or rain
B.Furnishings
C.Pressure of the earth against the foundation
D.Built-in cabinets
Answer:
D
Explanation:
frobenius method: solve xy''+y=0
Answer: X=0
Explanation: I think
Which of the following is NOT a risky food:
a
Raw Meat
b
Uncleaned fruits & vegetables
c
Bread
d
All of the above
e
Soft Cheeses
i think it's c. bread.
Answer:I think raw meat because if you eat raw meat you get sick and get stomach aches so always when you cook meat it kill the bacteria
Explanation:what I'm trying to says is stay safe
have a list sample_data = [1,2,3,4,5,6,7,8,9,10], and I want [1,4,9,16,25,36,49,64,81,100] from it. What should be the possible solution?
Select one:
To get [1,4,9,16,25,36,49,64,81,100] from [1,2,3,4,5,6,7,8,9,10], one should square each number in the list. This can be done by using a for loop with the range function or by using list comprehension.
The possible solution for getting [1,4,9,16,25,36,49,64,81,100] from the sample_data list [1,2,3,4,5,6,7,8,9,10] is to use the list comprehension to square each number in the list. This is shown below:sample_data = [1,2,3,4,5,6,7,8,9,10]squared_data = [num**2 for num in sample_data]print(squared_data)Output:[1, 4, 9, 16, 25, 36, 49, 64, 81, 100]Alternatively, we can use a for loop to square each number in the sample_data list. This can be done as shown below:sample_data = [1,2,3,4,5,6,7,8,9,10]squared_data = []for num in sample_data:
squared_data.append(num**2)print(squared_data)Output:[1, 4, 9, 16, 25, 36, 49, 64, 81, 100]In summary, to get [1,4,9,16,25,36,49,64,81,100] from the sample_data list [1,2,3,4,5,6,7,8,9,10], we can use list comprehension or a for loop with the append function to square each number in the sample_data list.
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If it is an animal then it is an organism convert it in first order logic
Answer:
This is not an engineering question.
Explanation:
If = (4,0,3) =(−2,1,5). Find ||, and the vectors (+),(−) ,3 (2+5)
The vectors are magnitude of vector v is 5. The sum of vectors v1 and v2 is (+) = (2, 1, 8). The difference between vectors v1 and v2 is (-) = (6, -1, -2). The scalar multiple of vector v1 by 3 is 3(2, 0, 3) = (12, 0, 9).
To find the magnitude (||) of a vector, we can use the formula:
||v|| = sqrt(v1^2 + v2^2 + v3^2)
Given vector v = (4, 0, 3), we can calculate its magnitude as follows:
||v|| = sqrt(4^2 + 0^2 + 3^2)
= sqrt(16 + 0 + 9)
= sqrt(25)
= 5
Therefore, the magnitude of vector v is 5.
Now, let's find the sum (+) and difference (-) of the given vectors.
Given vectors v1 = (4, 0, 3) and v2 = (-2, 1, 5), the sum of these vectors is calculated by adding the corresponding components:
v1 + v2 = (4 + (-2), 0 + 1, 3 + 5)
= (2, 1, 8)
The difference between the vectors is found by subtracting the corresponding components:
v1 - v2 = (4 - (-2), 0 - 1, 3 - 5)
= (6, -1, -2)
Lastly, let's calculate the scalar multiple of vector v1:
3v1 = 3(4, 0, 3)
= (12, 0, 9)
Therefore, the vectors are as follows:
- The magnitude of vector v is 5.
- The sum of vectors v1 and v2 is (+) = (2, 1, 8).
- The difference between vectors v1 and v2 is (-) = (6, -1, -2).
- The scalar multiple of vector v1 by 3 is 3(2, 0, 3) = (12, 0, 9).
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Select three mechanical processes used in the manufacturing phase of engineering.
Drying
Mixing
Cooling
Crystallization
Size reduction
Food packaging
Answer:Size reduction
Cooling
Mixing
Explanation:
A gas stream consisting of n-hexane in methane is fed to a condenser at 60°C and 1.2 atm. The dew point of the gas (considering hexane as the only condensable component) is 55°C. The gas is cooled to 5°C in the condenser, recovering pure hexane as a liquid. The effluent gas leaves the condenser saturated with hexane at 5°C and 1.1 atm and is fed to a boiler furnace at a rate of 207.4 L/s, where it is burned with 100% excess air that enters the furnace at 200°C. The stack gas emerges at 400°C and 1 atm and contains no carbon monoxide or unburned hydrocarbons. The heat transferred from the furnace is used to generate saturated steam at 10 bar from liquid water at 25°C.
a) Calculate the mole fractions of hexane in the condenser feed and product gas streams and the rate of hexane condensation (liters condensate/s).
b) Calculate the rate at which heat must be transferred from the condenser (kW) and the rate of generation of steam in the boiler (kg/s).
The mole fractions of hexane in the feed and product gas streams are 0.336 and 0.104,respectively,
the rate of hexane condensation is 51.9 L/s, the heat transferred from the condenser is 1.36 MW, and the rate of steam generation in the boiler is 137 kg/s.How to calculate hexane condensation and heat transfer in a boiler system?a) To calculate the mole fractions of hexane in the condenser feed and product gas streams and the rate of hexane condensation, we can use the following equations:
For the feed gas:
P = P_hexane + P_methane
y_hexane = P_hexane/P
y_methane = P_methane/P
where
P is the total pressure, P_hexane is the vapor pressure of hexane at the dew point temperature of 55°C, and P_methane is the vapor pressure of methane at the same temperature. We can use Antoine's equation to calculate the vapor pressure of hexane and methane:log(P) = A - B/(T+C)
where A, B, and C are constants, and T is the temperature in degrees Celsius.
For hexane,
A = 6.90565, B = 1211.033, and C = 220.79;
For methane,
A = 6.83794, B = 1135.7, and C = 247.8.
Using these values, we can calculate the vapor pressures of hexane and methane at 55°C:
P_hexane = 10\(^(6.90565 - 1211.033/(55 + 220.79))\)= 0.575 atm
P_methane = 10\(^(6.83794 - 1135.7/(55 + 247.8))\)= 1.131 atm
Substituting these values into the equations above, we get:
y_hexane = 0.336
y_methane = 0.664
For the product gas, we know that it is saturated with hexane at 5°C and 1.1 atm.
Using the vapor pressure of hexane at 5°C (which can be calculated in the same way as above), we get:
P_hexane = 0.115 atm
The mole fraction of hexane in the product gas is therefore:
x_hexane = P_hexane/P = 0.104
The rate of hexane condensation can be calculated using the following equation:
Q = V(y_feed - y_product)
where
Q is the rate of hexane condensation, V is the volumetric flow rate of the feed gas, and y_feed and y_product are the mole fractions of hexane in the feed and product gases, respectively.Substituting the values we have calculated, we get:
Q = 207.4 L/s * (0.336 - 0.104) = 51.9 L/s
b) To calculate the rate at which heat must be transferred from the condenser and the rate of generation of steam in the boiler, we can use an energy balance:
Q_condenser = Q_boiler + Q_steam
where
Q_condenser is the heat transferred from the condenser, Q_boiler is the heat transferred to the boiler, and Q_steam is the heatrequired to generate steam.
We can assume that the specific heat capacity of the effluent gas is constant at 1.2 kJ/kg-K.
The heat transferred to the boiler can be calculated using the following equation:
Q_boiler = m_fuel * LHV
where
m_fuel is the mass flow rate of fuel (which can be calculated from the volumetric flow rate and the density of the effluent gas), and LHV is the lower heating value of the fuel (which for methane is 55.5 MJ/kg).The heat required to generate steam can be calculated using the following equation:
Q_steam = m_steam * h_fg
where
m_steam is the mass flow rate of steam, and h_fg is the latent heat of vaporization of water at 10Learn more about gas streams
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a diode for which the forward voltage drop is 0.7 v at 1.0maisoperatedat0.6v.whatisthevalueofthecurrent?
The current in this diode is 0.6 mA because the forward voltage drop of the diode is 0.7 V at 1.0 mA. When the voltage is decreased to 0.6 V, the current is also decreased to 0.6 mA.
A diode is an electronic component that allows current to flow in one direction only. It is made up of two terminals, an anode and a cathode, and is typically made of a semiconductor material such as silicon. Diodes are used in a variety of applications, such as rectifying AC to DC, providing voltage regulation, and protecting circuits from overvoltage. Diodes are also used in logic circuits, such as AND and OR gates, to control the flow of current. Diodes are typically made of a semiconductor material such as silicon. They are made up of two terminals, an anode and a cathode, and are designed to allow current to flow in one direction only. Diodes are used in a variety of applications, such as rectifying AC to DC, providing voltage regulation, and protecting circuits from overvoltage. Diodes are also used in logic circuits, such as AND and OR gates, to control the flow of current. Diodes can also be used to convert AC to DC, as well as to amplify signals. Diodes are also used in a variety of other applications, such as in light-emitting diodes (LEDs) and in photodiodes.
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true/false : the lights in the training center maintenance office room 131 lighting are also controlled by an occupancy sensor.
The light in room 131 of the training center is not controlled by the built-in sensors.
According to the information given, the statement is incorrect. This indicates that the light in room 131 of the training center is controlled by onboard sensors, but this is not the case. An occupancy sensor is a device that detects the occupants of a room and controls the lighting.
But in this case it is said that the light in room 131 is not controlled by the built-in sensor. The lighting in the study room 131 can be controlled by hand switch or other means, but the inhabitants of the sensors are not involved in controlling the light in the private room.
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I want to solve the question
Answer:
yes.
Explanation:
During which step of a free-radical chain-growth polymerization does the polymer actually grow or chain extend?.
During propagation step of a free-radical chain-growth polymerization does the polymer actually grow or chain extend.
What is radical chain-growth polymerization?
The process of free-radical chain growth in polymers. Common free-radical reactions include polymerizations using free-radical mechanisms. The formation of radicals is the initiation, the development of the products is the propagation, and the ending of the free-radical chain reactions is the termination.What distinguishes step growth polymerization from chain growth polymerization?
The polymer chain in chain growth always expands one monomer at a time. The polymer chain doubles with each step of step development. The polymer chain's rate of expansion is drastically different in these two situations as a result. Every coupling step causes chain growth, which causes the chain length to gradually expand.Learn more about radical chain-growth polymerization
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Kerosene at T = 20∘C flows through the 100-mm-diameter commercial steel pipe at 22.5 kg/s. Use the equation 1f−−√=−1.8log[(ε/D3.7)1.11+6.9Re]
To calculate the flow rate of kerosene through a commercial steel pipe, we need to use the given equation: 1f−−√=−1.8log[(ε/D3.7)1.11+6.9Re], where:
f: Friction factor
ε: Pipe roughness (assumed negligible for commercial steel pipe)
D: Pipe diameter (100 mm = 0.1 m)
Re: Reynolds number
To find the friction factor, we need to determine the Reynolds number (Re). The Reynolds number is given by the formula Re = (ρVD) / μ, where:
ρ: Density of kerosene (assumed constant)
V: Velocity of kerosene
μ: Dynamic viscosity of kerosene (assumed constant)
Given:
ρ = density of kerosene
V = velocity of kerosene = flow rate / cross-sectional area = 22.5 kg/s / (π/4 * (0.1 m)^2)
μ = dynamic viscosity of kerosene (assumed constant for simplicity)
Once we calculate the Reynolds number (Re), we can substitute the values into the friction factor equation to find the friction factor (f).
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Which of the following things is not true?
a)The centrifuge must first be loaded and balanced symmetrically before spinning.
b)Angle Head centrifuge is the best centrifuge for urinalysis department
c)Never use a tube alone.
d)Always close the centrifuge door.
e)Care of a centrifuge includes daily cleaning of any spills
Option b) Angle Head centrifuge is the best centrifuge for urinalysis department is not true.
A centrifuge is a laboratory instrument that separates fluids, gases, or liquids by spinning them at high speeds. Because it creates a centrifugal force that separates the molecules based on size, shape, and density, it is effective.
In a centrifuge, a sample is placed in a test tube that is placed in a rotor. When the rotor spins, the centrifugal force is created. The sample particles move outward, and the denser particles are pushed toward the bottom of the test tube. The less dense particles will rise to the top of the test tube. After spinning, the sample is separated and ready for further examination.
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Gold and silver rings can receive an arc and turn molten. True or False
Micropulse arc welding is a well-known tool for speeding up simple bench operations during the welding process like ring size, making connections near thermally sensitive gemstones, and mending porosity castings.
The practice performs effectively on gold, silver, copper, and stainless steel whether joining tiny jewelry materials or bigger pieces for miniature metal sculptures.
The welding arc temperatures typically range from 6000°C to 8000°C, which translates to about 10000F to 15000F.
This increased range of thermal heat is high enough to turn Gold and silver rings into a molten state. A molten state is a phase at which a solid element is being melted and turns into a liquid state under the influence of a high temperature.
Therefore, from the above explanation, we can conclude that it is possible and true for gold and silver rings to receive an arc and turn molten.
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