Traditional building materials have been utilized for years in building construction. They are materials that have been in use before the introduction of contemporary building materials. The materials are still in use today in many regions of the world.
Here are three traditional building materials:
Masonry (brick), Stone, Wood
The utilization of wood in traditional building construction is still very common, particularly in regions where there are numerous forests. People were utilizing wood for centuries, and the material is still in use today due to its natural beauty and durability. Wood is a flexible and versatile material that is easily available and renewable. It also has good insulation qualities, making it an excellent choice for regions that experience cold temperatures.
Masonry, particularly bricks, is another traditional material that has been utilized for centuries in construction. Bricks are very durable and fire-resistant, making them a great choice for buildings. They also require low maintenance, and the material is readily available.
Stone is a material that is prevalent in many regions globally. It is a durable and robust material that is resistant to fire, insects, and weather elements. Stones are available in different sizes and shapes, making them an excellent choice for building walls, paths, and even bridges.
The correct answer is b). Stone, d). Wood, f). Masonry (brick).
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Defect Density is a characteristic of ?
Select one:
a. Process quality
b. Defect
c. Density
d. Product quality
Defect Density is a characteristic of process quality. It is defined as the number of defects detected in a software component or system divided by the size of the software component or system. The size of the software component or system can be expressed in various ways, such as lines of code, function points, or number of modules.
Defect Density is a measure of the quality of the software development process. It provides an indication of the quality of the software product and the effectiveness of the testing process.
A high defect density indicates that the software development process is not effective, and there are many defects in the software product.
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Which way do you turn the wrench to tighten the insert on this cam type holder?
Answer:
right !
Explanation:
deduce the relationship between e.m.u and e.s.u in technology .
In the CGS system, the unit of charge is the charging unit (ESU). Also known as "Statistical Pendant" (StatC). In the CGS system, the load unit is the electromagnetic unit (E.M.E.).
The e.s.u. of charge, also known as franklin or statcoulomb, is the charge such that two similar q=1statC charges at a space of 1cm from each other exert an electrostatic force of 1dyn on each other.
The e.m.u. of current, also called the biot or abampere, is the current such that two infinitely-long straight, parallel conductors carrying 1abA of current and separated by 1cm exert a magnetostatic force of 2dyn on each other.
The relations between these units are such that
\(\frac{1 statC}{1 abA * 1s} = \frac{1 statC}{1abC} = \frac{1}{C} = \frac{1 statA}{1abA} = \frac{\frac{1 statC}{s} } {1 abA}\)
where c is the speed of light.
The ESU and EMU systems of electromagnetic units are different and they should generally be considered separate and independent (if relatively similar), and they do not coincide with the gaussian set of electromagnetic units.
For example, since the electrical displacement vector D is defined as \(E + 4\pi P\) in the ESU system and \(\frac{1}{c^{2} } E + 4\pi P\) the EMU system, it is not possible to exchange the formulas of one system for another without using a formula dictionary like the one at Jackson's end. There is not. classical electrodynamics.
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technician a says that most new vehicles have abs. technician b says that abs minimizes wheel lockup (skidding) by using sensors at each wheel (or in the differential) to monitor wheel speed. who is correct?
Most modern vehicles, according to technician a, have ABS. According to technician B, ABS reduces wheel lockup (skidding) by monitoring wheel speed with sensors in the wheel. They are both right.
What does ABS stand for in a car's braking system?ABS stands for anti-lock brake system, to put it simply. It is conceivable for the brakes' grip to be greater than the tire's contact with the road when braking is applied to a wheel. The wheel "locks up" and stops rotating when this occurs.
How does ABS function?As soon as the wheel locks, an ABS system releases the brake pressure. During strong braking, this occurs repeatedly and can be felt as a pulsating sensation on the brake pedal. Even in emergency braking scenarios, the car maintains a high degree of stability by evenly distributing brake pressure over each wheel.
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If you had to pick a priority for future engineers, what would it be and why?
Answer:
Explanation:
Civil engineers have become experts in creating sustainable and environmentally friendly buildings and systems. Multiplied over many communities, the energy and emissions savings can make a real difference in the environment. Other life-improving functions can also make communities better places to live.Jul 19, 2017
HELP! It’s for an architecture class on PLATO
Select the correct answer.
Which association maintains the International Building Code?
A. NFPA
B. ICC
C. EPA
D. DOJ
Answer:
ICC
Explanation:
The International Building Code (IBC) is a model building code developed by the International Code Council (ICC). It has been adopted for use as a base code standard by most jurisdictions in the United States.
1. Use the charges to create an electric dipole with a horizontal axis by placing a positive and a negative charge (equal in magnitude but opposite in sign) 4 meters away from each other. (Axis of a dipole is a line passing through both charges.) Place positive charge on the left and negative on the right.
2. Describe the field at the following locations, and explain these results using the superposition principle:
on the horizontal axis to the right of the dipole;
on the horizontal axis between charges;
on the horizontal axis to the left of the charges;
on the vertical line bisecting the line segment connecting the charges, above the dipole;
on the vertical line bisecting the line segment connecting the charges, below the dipole;
is there a location where the electric field is exactly zero?
Remove the negative charge and replace it with equal in magnitude positive charge.
3. Observe the change in electric field, and again describe the field at the following locations, explaining these results using the superposition principle:
on the horizontal axis to the right of the charges;
on the horizontal axis between charges;
on the horizontal axis to the left of the charges;
on the vertical line bisecting the line segment connecting the charges, above the charges;
on the vertical line bisecting the line segment connecting the charges, below the charges;
is there a location where the electric field is exactly zero?
Answer:
2)
a) to the right of the dipole E_total = kq [1 / (r + a)² - 1 / r²]
b)To the left of the dipole E_total = - k q [1 / r² - 1 / (r + a)²]
c) at a point between the dipole, that is -a <x <a
E_total = kq [1 / x² + 1 / (2a-x)²]
d) on the vertical line at the midpoint of the dipole (x = 0)
E_toal = 2 kq 1 / (a + y)² cos θ
Explanation:
2) they ask us for the electric field in different positions between the dipole and a point of interest. Using the principle of superposition.
This principle states that we can analyze the field created by each charge separately and add its value and this will be the field at that point
Let's analyze each point separately.
The test charge is a positive charge and in the reference frame it is at the midpoint between the two charges.
a) to the right of the dipole
The electric charge creates an outgoing field, to the right, but as it is further away the field is of less intensity
E₊ = k q / (r + a)²
where 2a is the distance between the charges of the dipole and the field is to the right
the negative charge creates an incoming field of magnitude
E₋ = -k q / r²
The field is to the left
therefore the total field is the sum of these two fields
E_total = E₊ + E₋
E_total = kq [1 / (r + a)² - 1 / r²]
we can see that the field to the right of the dipole is incoming and of magnitude more similar to the field of the negative charge as the distance increases.
b) To the left of the dipole
The result is similar to the previous one by the opposite sign, since the closest charge is the positive one
E₊ is to the left and E₋ is to the right
E_total = - k q [1 / r² - 1 / (r + a)²]
We see that this field is also directed to the left
c) at a point between the dipole, that is -a <x <a
In this case the E₊ field points to the right and the E₋ field points to the right
E₊ = k q 1 / x²
E₋ = k q 1 / (2a-x)²
E_total = kq [1 / x² + 1 / (2a-x)²]
in this case the field points to the right
d) on the vertical line at the midpoint of the dipole (x = 0)
In this case the E₊ field points in the direction of the positive charge and the test charge
in E₋ field the ni is between the test charge and the negative charge,
the resultant of a horizontal field in zirconium on the x axis (where the negative charge is)
E₊ = kq 1 / (a + y) 2
E₋ = kp 1 / (a + y) 2
E_total = E₊ₓ + E_{-x}
E_toal = 2 kq 1 / (a + y)² cos θ
e) same as the previous part, but on the negative side
E_toal = 2 kq 1 / (a + y)² cos θ
When analyzing the previous answer there is no point where the field is zero
The different configurations are outlined in the attached
3) We are asked to repeat part 2 changing the negative charge for a positive one, so in this case the two charges are positive
a) to the right
in this case the two field goes to the right
E_total = kq [1 / (r + a)² + 1 / r²]
b) to the left
E_total = - kq [1 / (r + a)² + 1 / r²]
c) between the two charges
E₊ goes to the right
E₋ goes to the left
E_total = kq [1 / x² - 1 / (2a-x)²]
d) between vertical line at x = 0
E₊ salient between test charge and positive charge
E_total = 2 kq 1 / (a + y)² sin θ
In this configuration at the point between the two charges the field is zero
The student came up with a model that shows a loop of wire being rotated by some external force between two strong, permanent magnets. This causes the charges in the loop to flow. Pole piece Armature Slip ring What did the student make - a model of --
A. a motor B. both a motor and a generator C. neither a motor nor a generator D. a generator
The model that the student made is a motor. So, the answer is option A.
Key elements in the motor modelThe following are the key elements that the student has used to make a model of a motor:
Pole pieceArmatureSlip ringThe pole pieces are placed on the edges of the strong, permanent magnets.
The Armature is a loop of wire that the student is rotating.
Finally, the slip rings are used to transfer electrical power from the armature to the external source.
With the flow of current in the loop, a magnetic field is established that interacts with the poles of the magnet, causing the armature to spin. The model is similar to a motor as it uses the basic principle of a motor - electromagnetic induction to convert electrical energy into mechanical energy.
Therefore, the student has made a model of a motor..
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how much horsepower does 2023 sentra’s 2.0-liter dohc 16-valve 4-cylinder engine produce?A) 149 hpB) 115 hpC) 150 hp
A 2.0-liter Direct Injection GasolineTM (DIG) DOHC 16-valve 4-cylinder engine with an excellent 29 City/39 Highway MPG and 149 horsepower is standard on the 2019 Nissan Sentra.
The 2022 Nissan Sentra's 0-60 mph time is 9.2 seconds, while the model from the previous year's year clocks in at 8.3 seconds. No matter which model you select from the three very powerful trims available for the 2021 iteration, high-speed capabilities are guaranteed. At every stage of the creation of the Nissan GT-R, Nissan defied tradition. The Nissan GT-ideal-sized, R's twin-turbocharged 3.8-liter V6 engine generates a staggering 565 horsepower and an equally astounding 467 lb-ft of torque instead of a big, heavy, fuel-hungry engine.
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Water is pumped from a lake to a storage tank 18 m above at a rate of 70 L/s while consuming 20.4 kW of electric power. Disregard any frictional losses in the pipes and any changes in kinetic energy, determine (a) the overall efficiency of the pump-motor unit (5-point), and (b) the pressure difference between the inlet and the exit of the pump (5-point).
The force that keeps you from sliding on an icy
sidewalk is
Select one:
kinetic friction
normal force
weight
static friction
The force that keeps you from sliding on an icy sidewalk is static friction. Thus the correct option is D.
What is static friction?The friction that occurs when people attempt to move a stationary object across a surface without actually moving their bodies or the surface they are trying to move the object across is known as static friction.
Static friction prevents an object from slipping by keeping it at rest, therefore when you're walking on a sidewalk, this force is what prevents you from slipping on an icy sidewalk while walking.
The goal is to apply visual analytic techniques to calculate the static and kinetic friction coefficients between two surfaces and evaluate the movement between them.
Therefore, option D static friction is appropriate.
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how would i be able to make a simple mechanism that will feed my bird in a pull of a lever, and know when to refill itself?
Answer: Take two cups. ...
Tie a string to one hole on a cup, then thread it through the hole on one end of a stick.
Tie the end of the string to the other hole in that cup.
Now, take the second cup. ...
Hold the stick on its side, with the cups hanging down. ...
Put weights in the cups to balance.
Explanation:
If you were able to capture that kinetic energy as electricity at the head (point of entry) of the treatment facility using a hydraulic turbine with an 75% efficiency, how much electricity could you generate.
Answer:
none
Explanation:
because it doesnt turn kinetic energy into electricity a
Kinetic energy turbines, also called free-flow turbines, generate electricity from the kinetic energy present in flowing water rather than the potential energy from the head. The systems can operate in rivers, man-made channels, tidal waters, or ocean currents. Because kinetic systems utilize a water stream's natural pathway, they do not require diversion of water through man-made channels, riverbeds, or pipes, although they might have applications in such conduits. Kinetic systems do not require large civil works because they can use existing structures, such as bridges, tailraces, and channels. so it doesnt
Technician A says lever action pushes a rod into the brake booster and master cylinder
when the driver pushes on the brake pedal. Technician B says the produces hydraulic
pressure in the master cylinder. Who is correct?
B/ Evaluate e^(πi/2)
You get a result immediately from Euler's formula:
e ^(i π/2) = cos(π/2) + i sin(π/2) = 0 + i * 1 = i
10. What refrigerant is no longer manufactured in the
United States?
Answer:
Freon Refrigerant
Explanation:
As of January 1, 2020 Freon Refrigerant can no longer be manufactured or imported to the United States. This is because R-22 (the principal component in Freon) has been banned in the states. Along with other greenhouse gasses, due to their contribution to damaging Earth’s ozone layer and global warming.
hope this helps:)
Answer:
Freon Refrigerant Is Now Banned in the US
As of January 1, 2020, a once very popular air conditioning refrigerant can no longer be made in or imported into the United States.
Please give me brainliest - you get 25% as well! I swear!
when testing the windings of a single phase motor, a. the pair of terminals with the highest resistance will indicate that the other terminal is the start b. the common to start terminals show the lowest resistance c. the common to run terminals show the lowest resistance d. the start to run terminals show the lowest resistance
Option C, which states that the common to run terminals show the lowest resistance, is the correct answer to the question.
The correct answer to the question above is option C; The common to run terminals show the lowest resistance. Below is an explanation of the other options and why they are incorrect:Option A: The pair of terminals with the highest resistance will indicate that the other terminal is the start. This statement is incorrect. The highest resistance will be observed between the start and the run terminals of the single-phase motor. Option B: The common to start terminals show the lowest resistance. This statement is also incorrect. It's only the start and run terminals that show the lowest resistance, not the common to start terminals. Option D: The start to run terminals show the lowest resistance. Although this statement is true, it doesn't correctly answer the question because it doesn't mention the other terminals.
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by indicial notation, show that the material derivative of the jacobian of the deformation gradient tensor can be determined by d/dt(j(y,t)
we have shown that the material derivative of the jacobian of the deformation gradient tensor can be determined by d/dt(j(y,t)) through indicial notation.
In order to show that the material derivative of the jacobian of the deformation gradient tensor can be determined by d/dt(j(y,t)) through indicial notation, let us start by first defining some of the notations used in this problem. Definitions: Jacobian of a deformation gradient tensor: The Jacobian of a deformation gradient tensor is defined as the determinant of the deformation gradient tensor. It is denoted by J(y,t).Material Derivative: The material derivative of a given quantity, represented by f(y,t), is defined as:df(y,t)/dt = (∂f/∂t) + (v·∇)fwhere v is the velocity of the fluid (or in this case, the material)Gradient: The gradient of a given scalar function, represented by f(y,t), is defined as the vector of its partial derivatives with respect to its independent variables. It is denoted by ∇f.Indicial Notation: Indicial Notation is a notational method that is used to represent and manipulate vectors, tensors, and other geometrical objects in a concise and unambiguous manner. It is based on the Einstein summation convention, which states that any repeated index in a term of a tensor expression should be summed over all possible values of that index.Indicial Notation is used in this problem to represent the partial derivatives of the deformation gradient tensor with respect to its independent variables, which are the spatial coordinates of the material point being considered.Now, let us apply these definitions and notations to the problem at hand.To begin with, we have the following given information:Jacobian of the deformation gradient tensor = J(y,t)Material Derivative of the Jacobian of the deformation gradient tensor = d/dt(J(y,t))Our task is to show that the material derivative of the Jacobian of the deformation gradient tensor can be determined by d/dt(j(y,t)) through indicial notation.To do this, we will start by expressing the material derivative of J(y,t) using its definition, as follows:df(y,t)/dt = (∂f/∂t) + (v·∇)fwhere f(y,t) = J(y,t)Therefore,df(y,t)/dt = (∂J(y,t)/∂t) + (v·∇)J(y,t)Now, let us use the indicial notation to express the partial derivatives of the deformation gradient tensor with respect to its independent variables. For convenience, we will denote the deformation gradient tensor by F and its partial derivatives by Fi,j, where i and j represent the spatial coordinates of the material point being considered.Thus, we can write the following expression for J(y,t):J(y,t) = det(F) = F1,1F2,2F3,3 - F1,1F2,3F3,2 - F1,2F2,1F3,3 + F1,2F2,3F3,1 + F1,3F2,1F3,2 - F1,3F2,2F3,1Using this expression, we can now use the chain rule of differentiation to find the partial derivatives of J(y,t) with respect to its independent variables. Specifically, we have:∂J(y,t)/∂t = ∂det(F)/∂t = det(F)·tr(F^-1(dF/dt))where tr denotes the trace of a matrix, and F^-1 denotes the inverse of the deformation gradient tensor.Using the indicial notation, we can write this expression as:∂J(y,t)/∂t = J(y,t)·Fi,i^-1·Fi,j·dFj,i/dtwhere we have used the summation convention to sum over the repeated index i.Now, let us look at the second term in the material derivative of J(y,t), which involves the gradient of J(y,t) with respect to its independent variables. Using the expression we derived earlier for J(y,t), we can write:∇J(y,t) = (partial(J)/partial(x1), partial(J)/partial(x2), partial(J)/partial(x3))where x1, x2, and x3 denote the spatial coordinates of the material point being considered.Using the indicial notation, we can write this expression as:∇J(y,t) = (partial(J)/partial(xi))where i = 1,2,3Therefore, the gradient of J(y,t) with respect to its independent variables can be expressed as:∇J(y,t) = J(y,t)·Fi,i^-1·Fi,j·(partial(Fj,k)/partial(xi))Using the chain rule of differentiation, we can express this as:∇J(y,t) = J(y,t)·Fi,i^-1·Fi,j·(dFj,k/dxk)·(dxk/dxi)where we have used the summation convention to sum over the repeated index k.Now, substituting these expressions back into the material derivative of J(y,t), we get:d/dt(J(y,t)) = (∂J(y,t)/∂t) + (v·∇)J(y,t)= J(y,t)·Fi,i^-1·Fi,j·dFj,i/dt + J(y,t)·Fi,i^-1·Fi,j·(dFj,k/dxk)·(dxk/dxi)·vwhich is the desired result.
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One of the greatest problems facing our modern society is the difficulty of powering all our technology. Which of the following forms of energy are being used in modern society as sustainable power sources?
wind, water, and solar energy
water, coal, and solar energy
wind, coal, and water
steam, coal, and solar energy
Answer:
wind,water and solar energy
Explanation:
this is what we have in the moder society but in the oldon days they had coal for fires but now we have solar energy for our heating.
and if you use solar energy you save money by putting solar energy on your roof and its a sufficient way.
Chọn dữ liệu phù hợp và biểu diễn chúng dưới dạng biểu đồ, từ đó cho biết 3 yếu tố
mà người dùng xem xét nhiều nhất khi mua một chiếc tablet.
Answer:
Please explain it in English so that i can help you or you need someone who can speak Vietnam help you
what problem was the team presented within this episode? What problem mine they have thought they should solve if they hadn’t listen carefully?
Explanation:
whats
the question choices
The evaporator:
A. directs airflow to the condenser.
B. absorbs heat from the passenger compartment.
C. removes moisture from the refrigerant.
D. restricts refrigerant flow.
Answer:
Option B
Explanation:
An evaporator along with cold low pressure refrigerant absorbs heat from the air within the passenger compartment thereby supplying cool air for the occupants.
Hence, option B is correct
Why is it important to understand email netiquette?
Answer:
Email etiquette is important
Explanation:
It is important to understand how to use correct email etiquette because it helps you communicate more clearly. It also makes you seem a bit more professional too. For example depending in who you're emailing like say you're emailing your teacher for help then here's how it'd go:
Dear(teacher name, capitalize, never use first name unless they allow it)
Hello (teacher name), my name is (first and last name) from your (number class) and I was wondering if you could please help me out with (situation, be clear on what you need help with otherwise it won't get through to them)? If you could that would be greatly appreciated!
Sincerely,
(your name first and last)
The camshaft position sensor in a GM fast start system is used to:
The camshaft position sensor in a GM fast start system is used to detect the position of the camshaft in relation to the crankshaft.
This information is critical for the engine control module (ECM) to accurately calculate the ignition timing and fuel injection timing.
The sensor sends a signal to the ECM which determines the exact position of the camshaft and sends a corresponding signal to the ignition system to ignite the spark plugs at the appropriate time.
The camshaft position sensor is also used to monitor the engine's RPM and synchronize the fuel injection system. Without this sensor, the engine would not start or run properly, and the vehicle's performance and fuel efficiency would be negatively affected.
Overall, the camshaft position sensor plays a vital role in ensuring the proper functioning of the GM fast start system.
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Helium steadily enters a pipe with a mass flow rate of 8 kg/s at 427°C and 100 kPa and leaves the pipe at 27°C. The pressure during the process is constant at 100 kPa (a) determine the heat transfer for the process, in kW (b) the volume flow rate of the helium at the pipe exit in m³/sec.
a) Heat transfer for the process is - 66.6 kW and b) Therefore, the volume flow rate of the helium at the pipe exit is 18.1 m³/sec.
Mass flow rate (m) = 8 kg/s
Initial temperature of the gas (T₁) = 427 °C = 427+273 = 700 K
Final temperature of the gas (T₂) = 27 °C = 27+273 = 300 K
Initial pressure (P₁) = 100 kPa
Final pressure (P₂) = 100 kPa
(a) Determination of the heat transfer for the process
Q = mCpΔT
Where,
Cp is the specific heat capacity of helium= 5/2R = 5/2 × 8.31 J/mol K= 20.775 J/mol K = 20.775 kJ/kg K
ΔT = T₂ - T₁ = 300 - 700 = - 400 K
Negative sign indicates that the heat is lost by the gas during the process.= - 8 × 20.775 × 400= - 66.6 kW
Heat transfer for the process is - 66.6 kW.
(b) Determination of the volume flow rate of the helium at the pipe exit in m³/sec
The mass flow rate is given as,
m = ρVWhere,
ρ is the density of the helium gas
V is the volume flow rate of the helium at the pipe exit.
So, the volume flow rate of the helium at the pipe exit can be determined as
V = m/ρWe know that PV = nRT
Where,n = number of moles of the gas
R = gas constant
T = temperature of the gas
P = pressure of the gas
V = volume of the gasm/M = n …(1)Where,m = mass of the gas
M = molecular mass of the gas
We can write the density of the gas asρ = m/V = (m/M) (M/V) = (m/M) (P/RT) …(2)
On combining (1) and (2), we have
ρ = Pm/RTMM = molecular weight of helium gas = 4 g/mol = 0.004 kg/mol= P/m × RT= 100 × 10³/ (8 × 0.004) × (8.31) × (700)ρ = 0.442 kg/m³
Volume flow rate of the helium at the pipe exit, V = m/ρ= 8/0.442= 18.1 m³/sec
Therefore, the volume flow rate of the helium at the pipe exit is 18.1 m³/sec.
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why you so mean to me? leave my questions please. answer them
Answer: Why is even here then.
Explanation:
Why are most products the result of an innovation instead of an invention?
Answer:
they were updated rather than being created
Answer:
Invention is about creating something new, while innovation introduces the concept of “use” of an idea or method.
(GIVING BRAINIRLY)does anyone know what this is? is it a sliding glass door or?
The average real power in a single-phase ac circuit with a purely inductive load, X, for sinusoidal-steady-state excitation is
In an AC circuit, a purely inductive load is one in which the load current and voltage differ by exactly 90° phase. The average real power in a single-phase AC circuit with a purely inductive load is zero because, with a purely inductive load, no net power is either consumed or delivered.
Instead, the energy alternates between the magnetic field and the load in a purely inductive load.For an inductive load, the power is zero in a single-phase AC circuit. When compared to the voltage wave, the current wave in an inductive circuit lags behind it.
The power in this instance alternates between the inductor and the electric field. Since the power alternates back and forth between these two forms of energy, the overall average power is zero.
The inductor requires reactive power, which does not do any useful work but is essential for the circuit's operation.A purely inductive circuit, unlike a purely resistive circuit, has no real power flowing through it. It merely stores and releases electrical energy. In an AC circuit with a purely inductive load, the current and voltage waves are out of phase by 90°, causing the average power to be zero.
Since no useful work is done, the reactive power consumed is required to maintain the magnetic field in the inductor. Thus, the average real power in a single-phase AC circuit with a purely inductive load, X, for sinusoidal-steady-state excitation is zero.
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A parallel helical gearset consists of a 19-tooth pinion driving a 57-tooth gear. The pinion has a left-hand helix angle of 30°, a normal pressure angle of 20°, and a normal module of 2.5 mm.
Find:_______.
(a) The normal, transverse, and axial circular pitches
(b) The transverse diametral pitch and the transverse pressure angle
(c) The addendum, dedendum, and pitch diameter of each gear
Answer:
a)
normal circular pitch = 7.8539 mm
transverse circular pitch = 9.0689 mm
axial circular pitches = 15.7077
b)
transverse diametral pitch is 0.3464 teeth/mm
transverse pressure angle is 22.8°
c)
Addendum = 2.5 mm
dedendum = 3.125 mm
pinion diameter = 54.8482 mm and Gear diameter = 164.5448 mm
Explanation:
Given that;
module m = 2.5 mm
Number of teeth on Gear nG = 57 TEETH
Number of teeth on Pinion nP = 19 TEETH
Helix angle W = 30°
Normal Pressure angle β = 20°
finding the circular pitch
Pc = πm
we substitute
Pc = π * 2.5 mm = 7.8539 mm
now the diametral pitch p = π / Pc
= π / 7.8539
= 0.4 teeth/mm
a)
So the normal circular pitch
Pn = π / P
Pn = π / 0.4
Pn = 7.8539 mm
the transverse circular pitch
Pt = Pn / cosW
Pt = 7.8539 / cos30°
Pt = 9.0689 mm
for axial circular pitches
Px = Pt / tanW
Px = 9.0689 / tan30°
Px = 15.7077
b)
The transverse diametral pitch and the transverse pressure angle.
The transverse diametral pitch Pt = PcosW
= 0.4 * cos30°
= 0.3464 teeth/mm
transverse diametral pitch is 0.3464 teeth/mm
transverse pressure angle β1 = tan^-1 ( tan βn / cos W)
= tan^-1 ( tan20° / cos 30°)
= tan^-1 ( 0.42027 )
β1 = 22.8°
transverse pressure angle is 22.8°
c)
The addendum, dedendum, and pitch diameter of each gear
Now from table standard Tooth proportions for Helical Gears;
Addendum a = 1/p
= 1 / 0.4
= 2.5 mm
dedendum b = 1.25 / p
= 1.25 / 0.4
= 3.125 mm
now pinion diameter dP = Np / PcosW
= 19 / 0.4 (cos30°)
= 54.8482 mm
Gear diameter dG = nG / pcosW
= 57 / 0.4 (cos30°)
= 164.5448 mm