A.B's real component is 0.457. Ab is imaginary component 43.67. A/real B's portion is 1.583. A/imaginary B's part is -0.319.
What is a sample of a science direct conversion?to create a phase transformation in (a substance): to transform alcohol into sugar. To invert or transfer. to assert unauthorized legal title to (personal property).
Consider the following cormplex number.
[tex]$$n=5.6+j 6.6$$[/tex]
Consider the formula for conrplex to polar conversion[tex]$x+j y=r \angle \theta^{\circ}$[/tex]
Where
[tex]$$\begin{aligned}& r=\sqrt{x^2+y^2} \\& \theta=\tan ^{-1}\left(\frac{y}{x}\right)\end{aligned}$$[/tex]
Calculate the magnitude of[tex]$n$.[/tex]
[tex]$$[/tex]
[tex]\begin{aligned}& A=\sqrt{5.6^2+6.6^2} \\& A=8.655\end{aligned}$$[/tex]
Calculate the phase of[tex]$n$.[/tex]
[tex]$$[/tex]
[tex]B=\tan ^{-1}\left(\frac{6.6}{5.5}\right)$$[/tex]
[tex]$$B=49.685^{\circ}$$[/tex]
(b)
Consider the following complex numbers.
[tex]$$\begin{aligned}& A=9.9+j 2.9 \\& B=6.1+j 5.3\end{aligned}$$[/tex]
Calculate[tex]$A \cdot B$.[/tex]
[tex]& A \cdot B=83.36 \angle 57.3^{\circ} \\& \text { Calculate } \frac{A}{B} \\& \frac{A}{B}=\frac{9.9+j 2.9}{6.1+j 5.3} \\& \frac{A}{B}=\frac{9.9+j 2.9}{6.1+j 5.3} \times \frac{6.1-j 5.3}{6.1-j 5.3} \\& \frac{A}{B}=\frac{(9.9+j 2.9)(6.1-j 5.3)}{6.1^2+5.3^2} \\& \frac{A}{B}=1.16-j 0.53 \\[/tex]
[tex]& \frac{A}{B}=\sqrt{1.16^2+0.53^2} \angle \tan ^{-1}\left(\frac{-0.53}{1.16}\right) \\& \frac{A}{B}=1.276 \angle-24.65^n \\& A=8.4 \angle 39^{\circ} \\& B=5.2 \angle 50.4^{\circ} \\& A \cdot B=\left(8.4 \angle 39^{\circ}\right)\left(5.2 \angle 50.4^{\circ}\right) \\[/tex]
[tex]& A \cdot B=(8.4 \times 5.2) \angle 39^{\circ}+50.4^{\circ} \\& A \cdot B=43.68 \angle 89.4^* \\& A \cdot B=43.68 \cos \left(89.4^{\circ}\right)+j 43.68 \sin \left(89.4^{\circ}\right) \\& A \cdot B=0.457+j 43.67 \\&\end{aligned}[/tex]
[tex]$$Calculate $\frac{A}{B}$[/tex]
[tex]$$\begin{aligned}& \frac{A}{B}=\frac{8.4 \angle 39^{\circ}}{5.2 \angle 50.4^{\circ}} \\& \frac{A}{B}=\left(\frac{8.4}{5.2}\right) \angle 39^{\circ}-50.4^{\circ} \\& \frac{A}{B}=1.615 \angle-11.4^{\circ} \\& \frac{A}{B}=1.615 \cos (-11.4)+j 1.615 \sin (-11.4) \\& \frac{A}{B}=1.583-j 0.319\end{aligned}$$[/tex]
Real part of[tex]$A \cdot B$ is $0.457$[/tex]
imaginary part of[tex]$A \cdot B$ is $43.67$[/tex]
Real part of [tex]$\frac{A}{B}$ is $1.583$[/tex]
Imaginary part of[tex]$\frac{A}{B}$ is $1.583$[/tex][tex]$\frac{A}{B}$ is $1.583$[/tex]
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A.B's real component is 0.457. Ab is imaginary component 43.67. A/real B's portion is 1.583. A/imaginary B's part is -0.319.
What is a sample of a science direct conversion?In signal processing, sampling is the reduction of a continuous-time signal to a discrete-time signal. A common example is the conversion of a sound wave to a sequence of "samples".The conversion of digital signals from a given sampling rate to a second, arbitrary sampling rate, with both sampling rates derived from independent clock generators, is revisited. A general approach to arbitrary sampling rate conversion is presented from which two efficient realisations are deduced. The computational expenditure of both realisations is derived under the restriction of finite coefficient wordlengths. Finally, design examples demonstrate how to find the optimised parameters and finite wordlength coefficients of an arbitrary sampling rate converter with minimised expenditure and a prescribed performance.
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In an orthogonal cutting operation, the tool has a rake angle = 0°. The chip thickness before the cut= 0.30 mm and the cut yields a deformed chip thickness = 0.65 mm. Calculate (a) the shear plane angle and (b) the shear strain for the operation.
The shear plane angle is calculated as 49.4 degrees while the shear strain is given as 1.17
What is Shear StrainShear strain is a measure of deformation resulting from an applied force that is parallel to the surface of an object. It is usually expressed as a fractional change in the length of the object. Shear strain is a measure of the displacement of the surface points of an object in the direction perpendicular to the direction of the applied force.
The shear plane angle is the angle between the plane of shear stress and the normal to the plane of shear. It is typically measured in degrees and can range from 0 to 90 degrees.
(a) Shear plane angle = tan⁻¹((0.65-0.30)/0.30) = 49.4°
(b) Shear strain = (deformed chip thickness - initial chip thickness)/initial chip thickness
Substituting the values into the formula;
Shear Strain = (0.65-0.30)/0.30 = 1.17
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What does the following UML diagram entry mean? + setHeight(h : double) : void Select one: a. public void method with a parameter of data type double b. private method with no parameters that returns a double data type c. private field called setHeight that is a double data type d. Error - UML diagrams do not contain any symbols e. private data field called setHeight that is a double data type
The procedure is as follows in C++: double base calcPyramidVolume. Length, two bases. Double pyramid, width, Height.
The parameter variable for the following function prototype has a data type of double. Using the C double data type, high-precision floating-point data or integers are saved (up to 15 to 17 digits). There are large decimal number values recorded. In comparison to float data, values data may store twice as much information. As a result, it is referred to as a double data type. The double data type of the C programming language is used to store high-precision floating-point data or integers in computer memory. The double data type is so named because it can hold data that is twice as large as the float data type. Eight bytes, or 64 bits, make up a double.
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12. Which of the following letter doesn't still the same when its viewed
in a mirror?
Α. Ε
B. W
C.S.
D. B
Answer:
the correct answer is option B. W
Answer:
it is b and w
Explanation:
pls mark as brainlist
Part A
Determine the force in member DE of the truss, and state if the member is in tension or compression. Take F1 = 564 N , F2 = 905 N .
(Figure 1)
Express your answer to three significant figures and include the appropriate units. Assume positive scalars for members in tension and negative scalars for members in compression.
Part B
Determine the forces in members DC and CB of the truss, and state if the members are in tension or compression.
Express your answer to three significant figures and include the appropriate units. Assume positive scalars for members in tension and negative scalars for members in compression.
Part C
Determine the force in member CE of the truss, and state if the member is in tension or compression.
Express your answer to three significant figures and include the appropriate units. Assume positive scalars for members in tension and negative scalars for members in compression.
Part D
Determine the force in member EB of the truss, and state if the member is in tension or compression.
Express your answer to three significant figures and include the appropriate units. Assume positive scalars for members in tension and negative scalars for members in compression.
Part E
Determine the force in member EA of the truss, and state if the member is in tension or compression.
Express your answer to three significant figures and include the appropriate units. Assume positive scalars for members in tension and negative scalars for members in compression.
Malia is working with aluminum wire. while working with this type of wire, she must remember to a. always use pressure-type terminals. b. avoid copper connectors. c. avoid solder-type lugs. d. apply antioxidation paste
Answer:
B
Explanation:
Aluminium doesn't rust unless exposed to copper for a duration of time.
A(n) _________ is a set of permissions that is attached to an object.
a. access control list (ACL)
b. Subject Access Entity (SAE)
c. object modifier
d. security entry designator
Consider a concentric tube heat exchanger with an area of 50 m2operating under the following conditions:Hot fluidCold fluidHeat capacity rate, KW/K63Inlet temperature, oC6030Outlettemperature, oC-54(a) Determine the outlet temperature of the hot fluid.(3points)(b) Is the heat exchanger operating in counter flow or parallel flow, or can't you tell from the available information
Answer:
a) 48°C
b) The heat exchanger is operating in counter flow
Explanation:
a) Determine the outlet temperature of the hot fluid ( To )
= Heat lost by hot body( fluid ) = heat gained by cold body ( fluid )
Mh Cph [ Ti - To ] = Mc Cpc [ Tco - Tci ]
6000 [ 33 - To ] = 3 * 1000 [ 327 - 303 ]
therefore: - To = [ ( 3 * 1000 [ 327 - 303 ] ) - ( 6000 * 33 ) ] / 6000
hence To ( outlet temp ) = 48° C
b) The heat exchanger is operating in counter flow because Tco > To
note : heat capacity of hot fluid ( Mh Cph ) = 6000 watts
heat capacity of cold fluid ( Mc Cpc ) = 3000 watts
Area = 50 m^2
convert all temperatures to Kelvin before calculation
What qualitative effect would you expect each of the following to have on the P50 of hemoglobin (5 pts) a) Increase in pH from 7.0 to 7.4 Answer ___
b) Increase in Pco2 from 25 mmHg to 35 mm Hg Answer___
c) Dissociation into monomer polypeptide chains Answer ____
d) Decrease in 2,3-BPG concentration from 8 mM to 4 mM in red cells Answer___
You would expect each of the following to have a lower p50 qualitative effect on hemoglobin (5 pts) a) Raising the pH from 7.0 to 7.4.
What does "qualitative influence" mean?On the forecasts, there is a "qualitative influence." Reliability and accuracy are two characteristics of forecasts. The dependability or accuracy of the forecasts may improve or worsen, depending on the qualitative effect.
What does a polypeptide protein's monomer look like?Acitric Acids As an illustration, amino acid monomers make up proteins. A functional protein is created by folding a chain of linked polypeptides into a three-dimensional (3D) structure.
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Tactical ventilation should only be performed when the fire attack hoselines and teams are in place and ready to advance toward the fire. T/F
It is TRUE that the Tactical ventilation should be performed only when the fire attack hoselines and teams are ready to advance toward the fire.
What is Tactical ventilation?
Through purposeful flow path management, the overarching goal of all forms of tactical ventilation is to improve interior tenability for occupants and firefighters.
Flow path management for control and extinguishment is best accomplished by placing ventilation openings as close to the source fire as possible (e.g., not in a remote location) and working in collaboration with the fire attack team (e.g., vent ahead of rather than behind the attack team).
Firefighters must constantly control their environment with hose stream techniques when using ventilation tactics and interior attack to cool and dilute the highly combustible smoke.
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Consider a drug-eluting balloon catheter deployed into a blood vessel. The balloon is inflated to perfectly adhere to the vessel walls. Drug is released from the outer surface of the balloon and diffuses radially through the endothelial tissue only in the r-direction. Let the outside radius of the balloon be r = R_0, where the drug has a constant concentration c_0. The drug diffuses into the tissue as far as r = R, where the concentration of the drug becomes zero.
Assume cylindrical geometry, steady state conditions and no chemical reaction involving the drug. The drug diffusion coefficient in tissue is D.
(a) Find an expression for the profile c(r) inside the tissue (i.e. from R_0 to R).
(b) Determine the diffusive flux at the outer surface of the balloon.
Answer:
a) Cr = Co - Fx / D
b) ΔC / Δx = ( CR - Cr ) / ( xR - xRo )
Explanation:
A) Derive an expression for the profile c(r) inside the tissue
F = DΔC / X = D ( Co - Cr ) / X ------ 1
where : F = flux , D = drug diffusion coefficient
X = radial distance between Ro and R
Hence : Cr = Co - Fx / D
B) Express the diffusive flux at outer surface of the balloon
Diffusive flux at outer surface = ΔC / Δx = CR - Cr / xR - xRo
6. An educational researcher is interested in the relationship between students?
participation in two after school programs and academic achievement. She states
the following hypothesis in the description of her study:
H.1. Children who participate in an after school program that emphasizes critical
thinking skills will score higher on measures of academic achievement and self-esteem
than students who participate in a program that emphasizes rote memorization,
What are the variables in this study?
Answer:
Dependent Variable: Academic achievement
Independent Variable: After school programs
the branch circuit conductors for a 5 hp, 230V, single-phase motor with a nameplate rating of 25 A must have an ampacity of ___________ or greater.
The branch circuit conductors for a 5 hp, 230V, single-phase motor with a nameplate rating of 25 A must have an ampacity of 30 A or greater.
What is circuit?
A circuit is an interconnection of electronic components that allows electricity, signals or data to flow from one component to another. It can be as simple as a single resistor or as complex as a microprocessor. Circuits are used to provide power to devices, control signals, process data or any combination of these. Circuits can be made from components such as resistors, capacitors, transistors, integrated circuits and microprocessors.
According to the National Electrical Code (NEC), the minimum branch circuit conductor size for a 5 hp, 230V, single-phase motor with a nameplate rating of 25 A must be sized at 30 A or greater. This is because the NEC requires a branch circuit conductor to have an ampacity at least 125% of the full-load current rating of the motor.
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TMI Systems, a company that customizes software for construction cost estimates, repaid a loan obtained 5 years ago at 10% per year simple interest. If the amount that TMI repaid was $140,000, calculate the principal of the loan
The principal of the loan that TMI Systems repaid was $90,000.
The formula to calculate the principal of a loan is P = L + I, where P is the principal, L is the loan amount, and I is the total interest paid over the duration of the loan.
In this case, we are given that the loan amount was 10% per year simple interest, which can be calculated by multiplying the principal by the interest rate (0.1) and the duration of the loan (5 years). Therefore, the total interest paid over the duration of the loan is P x 0.1 x 5 = $50,000.
We are also given the total amount repaid, which is the sum of the principal and the total interest paid. Therefore, we can calculate the principal by subtracting the total interest paid from the total amount repaid.
This gives us $140,000 - $50,000 = $90,000. As the principal must be a positive value, the principal of the loan is $90,000.
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A flexible pavement is constructed with 5 inches of sand-mix asphaltic wearing surface, 9 inches of dense-graded crushed stone base, and 10 inches of crushed stone subbase. The base has a drainage coefficient of 0.90 while the subbase drainage coefficient is 1.0. Determine the structural number of the pavement.
The structural number of the pavement, constructed with 5 inches of the sand-mix asphaltic wearing surface is 14.5.
The structural number is an estimate of the number of inches of asphaltic wearing surface that a pavement can support without exceeding the allowable structural layer strain. It is calculated by multiplying each layer's drainage coefficient by its thickness and then adding the products together.
T In this case, the 5-inch wearing surface has a drainage coefficient of 0.90, the 9-inch base has a coefficient of 1.0, and the 10-inch subbase has a coefficient of 1.0.
The structural number can be calculated by using the following formula:
SN = (5 x 0.90) + (9 x 1.0) + (10 x 1.0) = 14.5. Therefore, the structural number of the pavement is 14.5.
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The calculated load for a 3-phase, 240-volt load is 196 amperes. The installation consists of three single insulated conductors in electrical metallic tubing, Type EMT. What size RHW copper conductors are needed
The size of RHW copper conductors needed for this 3-phase, 240-volt load is 4/10 AWG.
What is copper conductors?Copper conductors are electrical wires composed of copper that are used to carry electrical currents. They are used in a variety of applications, including power generation and transmission, electronics, telecommunications, and consumer products. Copper is an ideal material for electrical conductors because it is highly conductive, durable, and cost-effective. Copper conductors are available in a range of sizes and shapes and are used in both residential and commercial settings.
This is based on the National Electrical Code (NEC) Table 310.15(B)(16), which states that the minimum size for a 196 ampere load is 4/10 AWG for three insulated conductors in an EMT conduit.
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TRUE OR FALSE smiles.substring(1, 5) returns "mile".
Answer: true
Explanation:
Given statement: smiles.substring(1, 5) returns "mile". This assertion absolutely is true.
How may a double be located in a string?In the try block, we transform the string to a Double using the parseDouble() method of Double to determine whether the text solely contains integers. The string isn't a number if it throws an error (such as a NumberFormatException fault), in which case numeric is set to false. It is a number if not.
How is a string defined?Similar to declaring a one-dimensional array, a string can be declared easily. size[char str name]; In the aforementioned syntax, size is used to specify the string's length, or the amount of characters it may hold. Str name is any name supplied to the string variable.
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increasing capacity just before a bottleneck operation will improve the output of the process.
a. true
b. false
Answer: true
Explanation: I haves
So i have a Question so if you have somebody in your family and you dont share nothing with that person what do that person feel like so if they dont do nothing how would you feel.
Answer:
Who care
Explanation:
Lol
Which are two additional important issues of web based UI design vs. local desktop Ul design? (Pick two) A)Load Time B)Browser compatibility C)Ad space D)Screen Size
Graphic designers and UI/UX designers are more likely to work for Jasmine. A member of her team.
The building and maintenance of websites require a variety of skills and disciplines known as web design. Among the many components of web design are search engine optimization, user interface design (UI design), authorship, which includes standardized code and custom software, and web graphic design. Even while some designers manage every step of the design process, it is typical for many people to collaborate in teams to handle different areas. Web design is sometimes used to describe the process of designing a website's front-end (client side) design, which involves authoring HTML. Web design and web engineering partially overlap within the broader context of web development.
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What is the name given to the vehicles that warn motorists about oversized loads/vehicles?a) Pilot Carb) Advanced Carc) Trail Card) Leader Car
The Pilot Car is the vehicle that alerts drivers to oversized loads. So, the correct answer to the question is a. Pilot car.
What exactly is a Pilot Car?
A pilot car is a vehicle that is used to guide and support convoys of large vehicles or trucks carrying heavy loads. Pilot cars can be sedans, SUVs, vans, or pickup trucks and must be equipped with lights, flags, and a CB radio in order to communicate with the oversized vehicle.
The Pilot Car is also known as the Escort Car. It is a vehicle that alerts other vehicles to the presence of a large vehicle.Pilot vehicle operators' role is to warn road users (drivers) to be cautious of over-sized loads or vehicles.The cars are used to direct motorists who are using construction sites' roads.To know more about Pilot Cars, visit: https://brainly.com/question/30002465
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B. Directions: For items 9-15, sequence the steps involved on how to accomplish
the form in order to acquire materials. Write letters a lo h on the blank, 'a' being the
first step, and so on. Do this in your Activity Notebook.
8. Write your name as requisitioner
9. List the cost per unit and the total cost.
10. Write the number of required materials.
11. List the unit of materials to be requisitioned.
12. Secure the approval of the supply officer.
13. Enumerate the materials with their description.
1. 4. State the name of the project and date when you requested for materials.
The letters A to H on the blank, 'A' being the first step, and so on is as follows:
8-F, 9-E, 10-B, 11-C, 12-G, 13.D 14.A
What is sequence?In mathematics, a sequence is an ordered list of objects where repetitions are allowed. It has members and is comparable to a set (also called elements, or terms). The number of elements determines the length of the sequence (possibly infinite). In contrast to a set, the same elements can appear multiple times in a sequence at different positions, and unlike a set, the order matters.
Formally, a sequence can be defined as a function from natural numbers (the positions of the sequence's elements) to the elements at each of those positions. You can think of an indexed family, which is a function from any index set, as a generalisation of the concept of a sequence.
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Lighting track ____ permitted to be installed within a zone extending 3 feet horizontally and 8 feet vertically from the top of a bathtub rim.
Answer:
Lighting track is not permitted to be installed within a zone extending 3 feet horizontally and 8 feet vertically from the top of a bathtub rim.
Explanation:
You are tasked with mapping a drive within the Command Prompt to a share named AlbaLonga on a server named Romulus. Which of the following is the correct syntax?
A. net use //AlbaLonga./Romulus
B. http://Romulus/AlbaLonga
C. net use \\Romulus\AlbaLonga
D. ipp://Romulus.com/AlbaLonga
According to the question, net use \\Romulus\AlbaLonga is the correct syntax.
What is syntax?
Syntax is the set of rules and principles that govern the structure of sentences in a given language. It is a component of grammar that focuses on the arrangement of words and phrases to form correct sentences. Syntax helps to determine the meaning of a sentence and provides clarity for the reader. Syntax also plays an important role in writing, as it helps to create coherent and effective sentences that convey the right message. Syntax is a complex subject and involves the use of a variety of terms such as syntax, morphology, semantics, and pragmatics. Syntax also includes the use of punctuation and other stylistic devices. By understanding syntax, one can learn how to properly construct sentences, enabling them to communicate effectively in writing.
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For gas piping other than black or galvanized steel installed in a concealed location, a shield plate shall be provided for protection against physical damage where a bored hole is located a maximum of ________ from the edge of the wood member.
For gas piping other than black or galvanized steel installed in a concealed location, where a bored hole is located a maximum of 1/2 inch from the edge of the wood member.
What is galvanized steel?
Galvanized steel is a type of steel that has been treated with a layer of zinc oxide to protect it from corrosion. This layer is bonded to the steel so that it will not flake or peel off. Galvanized steel is often used in the construction industry because it is highly resistant to rust and other forms of corrosion. It is also used in the automotive and appliance industries as well as in the production of water pipes, fencing, and other metal items. Galvanized steel is cost-effective and easy to maintain, making it a popular choice for many applications. It is also environmentally friendly since it does not require the use of chemicals or paints. Galvanized steel is a durable and versatile material that is essential for many projects.
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An inverter or ac module is required to automatically ________ its output when utility power is lost.
An inverter or ac module is required to automatically switchover its output when utility power is lost.
What is an inverter?
An inverter is an electrical device that converts direct current (DC) to alternating current (AC). It is a type of power electronic converter that is used to convert low-voltage DC electricity from sources such as batteries or solar panels into a higher voltage AC output. Inverters allow for the use of DC power sources such as batteries to power AC appliances, and are commonly used in recreational vehicles and off-grid energy systems. They are also used in adjustable speed drives, uninterruptible power supplies, and in many consumer electronics applications. Inverters come in a variety of sizes ranging from small microcontrollers that control a single appliance, to large industrial models that are used to power entire buildings.
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A portable x-ray unit has a transformer, the 120V input of which is transformed to the 100kV output needed by the x-ray tube. The primary has 50 loops and draws a current of 10A when in use. What is ratio of the number of loops in the secondary to the number of loops in the primary
2500 : 3
Explanation:
To solve this, let's build some relationships among the power, voltage, current and number of loops in an ideal transformer.
For an ideal transformer, the powers generated by the primary and secondary coils are the same. In other words, the input power and output power remain the same.
Input power = Output power
Where;
Input power = [tex]V_{p}[/tex] x [tex]I_p[/tex]
Output power = [tex]V_{s}[/tex] x [tex]I_s[/tex]
=> [tex]V_{p}[/tex] x [tex]I_p[/tex] = [tex]V_{s}[/tex] x [tex]I_s[/tex]
This can be re-written as:
[tex]\frac{V_p}{V_s}[/tex] = [tex]\frac{I_s}{I_p}[/tex] ------------------(i)
Also, the transformer turns ratio (r) is the quotient of the number of turns/loops in the primary coil and the number of turns/loops in the secondary coil. i.e
r = [tex]\frac{N_p}{N_s}[/tex]
This ratio is equal to the ratio given in equation (i) i.e
r = [tex]\frac{N_p}{N_s}[/tex] = [tex]\frac{V_p}{V_s}[/tex] = [tex]\frac{I_s}{I_p}[/tex]
=> r = [tex]\frac{N_p}{N_s}[/tex] = [tex]\frac{V_p}{V_s}[/tex]
=> [tex]\frac{N_p}{N_s}[/tex] = [tex]\frac{V_p}{V_s}[/tex]
This can be re-written as
=> [tex]\frac{N_s}{N_p}[/tex] = [tex]\frac{V_s}{V_p}[/tex] -----------(ii)
From the question,
[tex]V_{p}[/tex] = 120V
[tex]V_{s}[/tex] = 100kV = 100000V
Substitute these values into equation (ii) as follows;
[tex]\frac{N_s}{N_p}[/tex] = [tex]\frac{100000}{120}[/tex]
[tex]\frac{N_s}{N_p}[/tex] = [tex]\frac{10000}{12}[/tex]
[tex]\frac{N_s}{N_p}[/tex] = [tex]\frac{2500}{3}[/tex]
Therefore, the ratio of the number of loops in the secondary to the number of loops in the primary is 2500 : 3
Four eight-ohm speakers are connected in parallel to an audio power amplifier. The amplifier can supply a maximum driver output voltage of fifteen volts. How much audio power must the amplifier be able to deliver to the speakers when outputting this maximum voltage?
Answer:
112.5 watts
Explanation:
The output voltage (V) = 15 volts
The equivalent resistance for the speakers connected in parallel ([tex]R_T[/tex]) is gotten by using the formula:
[tex]\frac{1}{R_T}=\frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_3}+\frac{1}{R_4}\\\\But\ R_1=R_2=R_3=R_4=8\ ohm\\\\\frac{1}{R_T} =\frac{1}{8} +\frac{1}{8} +\frac{1}{8} +\frac{1}{8} \\\\\frac{1}{R_T} =\frac{1+1+1+1}{8} \\\\\frac{1}{R_T} =\frac{4}{8} \\\\R_T=\frac{8}{4} \\\\R_T=2\ ohm[/tex]
The current flowing through the amplifier (I) is:
I = V / [tex]R_T[/tex] = 15 / 2 = 7.5 A
The audio power (P) when outputting this maximum voltage is given by:
P = V² / [tex]R_T[/tex] = I²[tex]R_T[/tex]. Therefore:
P = V² / [tex]R_T[/tex] = 15² / [tex]R_T[/tex] = 112.5 watts
The speed of a vehicle is reduced with a constant acceleration from 72km/h to 18
km/h over 250m directly down an incline of lin25. The mass of the vehicle is 1.9
Mg and it has a constant resistance to motion of 350N.
Calculate the magnitude of the braking Force
Answer:
Check
Answer:
The correct answer will be "1477.84 N".
Explanation:
Given that,
Mass,
m = 1.6 mg
or,
= 1600 kg
Initial velocity,
u = 72 km/h
= [tex]72\times \frac{5}{18} \ m/s[/tex]
= [tex]20 \ m/s[/tex]
Final velocity,
v = 18 km/h
= [tex]18\times \frac{5}{18}[/tex]
= [tex]5 \ m/s[/tex]
Covered distance,
s = 250 m
By using the below relation, we get
⇒ [tex]v^2=u^2+2as[/tex]
On putting the values, we get
⇒ [tex](5)^2=(20)^2+2\times a\times 250[/tex]
⇒ [tex]a=-0.75 \ m/s^2[/tex] (shows the deceleration)
Slope will be given as 1 in 25, then
⇒ [tex]Sin \theta=\frac{1}{25}[/tex]
[tex]\theta=2.3^{\circ}[/tex]
hence,
As we know,
⇒ [tex]\Sigma F=ma[/tex]
or,
⇒ [tex]Braking \ force+350-mgSin\theta=ma[/tex]
⇒ [tex]Braking \ force=ma+mgSin\theta-350[/tex]
On substituting all the values, we get
⇒ [tex]=1600(0.75+1600\times 9.81 Sin(2.3^{\circ})-350[/tex]
⇒ [tex]=1477.84 \ N[/tex]
Problem 2: The crane can be adjusted to any angle 0° θ 90° and any extension 0 x 5m. For a suspended mass of 120 Kg, determine the moment developed at A as a function of x and θ. What values of both x and θ develop the maximum possible moment at A? Compute this moment. Neglect the size of the pulley at B.
The function that causes values of both x and to develop the highest feasible moment at A according to the provided suspended mass is written as 14715 Nm (clockwise).
What is mass ?The quantity of matter or substance that makes up a thing is known as its mass. The unit of measurement is the kilogramme, abbreviated as kg. It's crucial to keep in mind that mass differs from weight. While weight varies with changes in gravity, mass never changes.
We have identified the following values,
adjust for any angle 00 ≤ θ ≤ 900 any extension 0 ≤ x ≤ 5 m.
So,
Let us consider an equation to calculate the moment using θ and x as variables around point A.
⇒ ((9−1.5) + x) (cosθ) (120) (9.81)
When we are simplifying the given equation gives us:
⇒ MA = (7.5+x) 1177.2 cosθ
Here the maximum moment will develop if θ = 0 and x=5 m.
Then, by substituting these values gives us:
⇒ MA=(7.5+x)1177.2cosθ
⇒ MA=(7.5+5)1177.2cos00
Thus, the value of MA is written as, 14715 Nm (clockwise)
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The motor feeder conductor size for a quantity of (three) 15 hp, 208V, three-phase motors and a quantity of (three) 3 hp, 208V, single-phase and a quantity of (three) 1 hp, 120v, single phase motors will be __________________. Assume all terminations are rated at 75 degrees C and aluminum THHN conductors will be used.
The motor feeder conductor size for the described system would be 4 AWG aluminum THHN rated for a 75-degree C temperature.
The total horsepower for the three-phase motors is 45 hp and the total horsepower for the single-phase motors is 4 hp. The total horsepower is then 49 hp.
The next step is to calculate the load in amps as follows:
(49 hp x 746 watts)/(208 volts x 1.25 efficiency factor)
= 177 amps.
With 177 amps as the total load, the next step is to select the conductor size using the NEC Table 310.16. A 4 AWG aluminum THHN conductor is rated for a maximum of 195 amps.
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