The expression for the current in the form i(t) = im*cos(ωt+θ) is: i(t) = 28.28*cos(2π x 1000 t + 0.942) A
To write the expression for the given sinusoidal current i(t) in the form i(t) = im*cos(ωt+θ), we need to determine the amplitude im, the angular frequency ω, and the phase angle θ.
The given current has an rms value of 20A, which means that the amplitude of the current is:
im = √2 * Irms = √2 * 20A = 28.28A (approx.)
The period of the current is 1ms, which corresponds to a frequency of:
f = 1 / T = 1 / (1ms) = 1 kHz
The angular frequency is:
ω = 2πf = 2π * 1 kHz = 2π x 1000 rad/s
The current reaches a positive peak at t = 0.3ms, which corresponds to a phase angle of:
θ = ωt - π/2 = (2π x 1000 rad/s) x (0.3 x 10^-3 s) - π/2 ≈ 0.942 radians
Therefore, the expression for the current in the form i(t) = im*cos(ωt+θ) is:
i(t) = 28.28*cos(2π x 1000 t + 0.942) A
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(a) Draw the repeating unit structure for polyethylene and Teflon (PTFE) Describe how the properties of these polymers are related to their chemical structure 5 marks (b) What is an "engineered polymer"? State two engineered polymers and give two common applications for each. 5 marks (c) With respect to polymer chemistry, what is a "glass transition"? Describe a common scenario where you may observe this effect 5 marks (d) Thermal analysis is widely used to characterise polymers. Draw and annotate a typical DSC plot for a thermoplastic. 5 marks (e) List three manufacturing issues arising from the re-use of recycled polymers. How could engineers design equipment to facilitate more efficient polymer recycling and re-use? 5 marks
Engineers can design equipment to facilitate more efficient polymer recycling and re-use by implementing automated sorting and cleaning processes, using advanced analytical techniques to detect and remove contaminants, and optimizing processing conditions to minimize degradation and maintain consistent properties.
(a) The repeating unit structure for polyethylene is (-CH2-CH2-)n, where n represents the number of repeating units. The repeating unit structure for Teflon (PTFE) is (-CF2-CF2-)n. Polyethylene is a highly crystalline polymer with good strength and stiffness, while Teflon (PTFE) is a highly fluorinated polymer with excellent chemical resistance and low friction.
(b) An "engineered polymer" is a polymer that has been modified or designed to exhibit specific properties for a particular application. Two examples of engineered polymers are:
Kevlar - a high-strength polymer used in bulletproof vests and body armor, as well as other applications requiring high strength and low weight.
Nylon - a versatile polymer used in a variety of applications such as clothing, carpeting, and industrial materials.
(c) The "glass transition" is the temperature range in which an amorphous polymer transitions from a hard, glassy state to a soft, rubbery state. This transition is caused by molecular motion and relaxation, and is characterized by a change in the heat capacity of the material. One common scenario where you may observe this effect is when you heat up a plastic container in the microwave - as the temperature increases, the plastic may become more flexible and deformable due to the glass transition.
(d) A typical DSC (differential scanning calorimetry) plot for a thermoplastic polymer shows the heat flow (vertical axis) as a function of temperature (horizontal axis). The plot typically shows two peaks - the first peak corresponds to the glass transition temperature (Tg), and the second peak corresponds to the melting temperature (Tm) of the polymer. The Tg is the temperature range in which the polymer transitions from a glassy state to a rubbery state, and is characterized by a change in the heat capacity of the material. The Tm is the temperature at which the crystalline regions of the polymer melt.
(e) Three manufacturing issues arising from the re-use of recycled polymers are:
Contamination - recycled polymers may contain impurities or contaminants that can affect their properties or performance.
Degradation - repeated processing of recycled polymers can cause them to degrade or break down, leading to reduced properties or performance.
Inconsistent properties - recycled polymers may have inconsistent properties due to variations in the source materials or processing conditions.
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Which of these metals is most likely to be involved in a chemical reaction.
A gold
B copper
C tin
D iron
A steam power plant with a power output of 230 MW consumes coal at a rate of 60 tons/h. If the heating value of the coal is 30,000 kJ/kg, determine the overall efficiency of this plant.
Answer:
\(\eta =46\%\)
Explanation:
Hello!
In this case, we compute the heat output from coal, given its heating value and the mass flow:
\(Q_H=60\frac{tons}{h}*\frac{1000kg}{1ton}*\frac{1h}{3600s}*\frac{30,000kJ}{kg}\\\\Q_H=500,000\frac{kJ}{s}*\frac{1MJ}{1000J} =500MW\)
Next, since the work done by the power plant is 230 MW, we compute the efficiency as shown below:
\(\eta =\frac{230MW}{500MW}*100\% \\\\\eta =46\%\)
Best regards!
A 40kg steel casting (Cp=0.5kJkg-1K-1) at a temperature of 4500C is quenched in 150kg of oil (Cp=2.5kJkg-1K-1) at 250C. If there are no heat losses, what is the change in entropy of?
(i) The casing.
(ii) The oil.
(iii) Both considered.
Explain how the horsepower of a sports car can be improved.
Answer:
with turbo or nos
Explanation:
A germanium diode carries a current of 1 mA at room temperature when a forward bias of 0.15v is applied. Estimate the reverse saturation current at room temperature.
Which of the following linux directories is appropriate for quotas? /home/ /etc/ /proc/ /usr/ /opt/
The appropriate Linux directory for quotas is `/home/`.
Which Linux directory is appropriate for implementing quotas?The appropriate Linux directory for quotas is `/home/`. The `/home/` directory is commonly used to store user home directories, and it is a suitable location to implement quotas on individual users or groups.
Quotas allow administrators to limit the amount of disk space or number of files that users can consume on a system.
By implementing quotas in the `/home/` directory, administrators can effectively manage and allocate resources to users, ensuring fair usage and preventing excessive consumption.
The other directories listed (`/etc/`, `/proc/`, `/usr/`, and `/opt/`) are not specifically designed for quota management.
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To inspect a 12,500 N car, it is raised with a hydraulic lift. If the radius of the small piston is 5.0 cm, and the radius of the large piston (the car is sitting on the large piston) is 50 cm, find the force that must be exerted on the small piston to lift the car. N (precision to the nearest whole number)
Answer:
The force will be "125 N".
Explanation:
The given values are:
\(F_1=12500 \ N\)
\(R_1 = 50 \ cm\)
\(R_2=5 \ cm\)
As we know,
⇒ \(A=\pi(H)^2\)
then,
⇒ \(A_2=\pi(5)^2\)
⇒ \(A_1=\pi(50)^2\)
Since,
The pressure on both the pistons are equal, then
⇒ \(\frac{F_1}{A_1} =\frac{F_2}{A_2}\)
or,
⇒ \(\frac{F_2}{F_1} =\frac{A_2}{A_1}\)
By substituting the values, we get
⇒ \(\frac{F_2}{12500} =\frac{\pi(5)^2}{\pi(50)^2}\)
⇒ \(\frac{F_2}{12500} =\frac{\pi(25)}{\pi(2500)}\)
⇒ \(F_2=\frac{25}{2500}\times 12500\)
⇒ \(=0.01\times 12500\)
⇒ \(=125 \ N\)
Explain Load line and Operating point Q of a transistor
In electronic circuits, a transistor is a three-terminal electronic device that amplifies or switches electronic signals. A load line and an operating point Q are two significant concepts related to a transistor.
The graphical representation of the relationship between collector voltage and current is referred to as the load line. It is the virtual load connected to the transistor in a circuit. The power dissipation of the transistor can be calculated by the load line. The voltage across the transistor and the current passing through it can also be estimated from this. To determine the actual operating point of the transistor, a load line is drawn on the transistor characteristic curve. When we add the transistor to the circuit, the load line is formed.
The quiescent point, also known as the operating point Q or the bias point, is a point in the DC load line that represents the collector current and collector-emitter voltage for a specific base current. The DC load line is the characteristic curve of a transistor in a specific application. This is the point on the curve where the transistor is conducting, and the current and voltage values correspond to the desired functionality in the circuit.
The graph below shows a typical transistor characteristic curve with the load line and operating point Q illustrated:
The load line intersects the characteristic curve at the operating point Q. The values of collector current and collector-emitter voltage at this point correspond to the desired functionality of the transistor in the circuit.
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who is the strongest avenger i say hulk but who knows at this point
Answer:
or is the strongest evenger she hulk
Explanation:
?????????
Answer:
Thor!
Explanation:
In Thor: Ragnarok he beat the Hulk in order for Hulk to win thor had to be electrocuted and in Avengers: Endgame Thor is seen holding open the "Floodgates" and withstanding the radiation from a dying star, also the fact that Thor is a god means that he is all powerful and the rightful heir to the throne to Asgard, plus the fact that he has defeated Loki multiple times a feat that not even the Hulk has done.
At steady state, air at 200 kPa, 325 K, and mass flow rate
of 0.5 kg/s enters an insulated duct having differing inlet
and exit cross-sectional areas. The inlet cross-sectional area is
6 cm26cm
2. At the duct exit, the pressure of the air is 100 kPa and the velocity is 250 m/s. Neglecting potential energy
effects and modeling air as an ideal gas with constant cp=1.008 kJ/kg⋅Kc
p =1.008kJ/kg⋅K, determine
(a) the velocity of the air at the inlet, in m/s.
(b) the temperature of the air at the exit, in K.
(c) the exit cross-sectional area, in cm2
(a) the velocity of the air at the inlet, in m/s.
(b) the temperature of the air at the exit, in K.
(c) the exit cross-sectional area, in cm
1. a major reason for the projected shortage of trained craft professionals is
a. construction salaries are too low
b. technology has eliminated many construction careers
c. demand for construction projects is declining
d. the retirement of baby boomers
A major reason for the projected shortage of trained craft professionals is that: b. technology has eliminated many construction careers.
What is computing?Autonomic computing can be defined as a process which involves the use of both computer hardware and software to manage, analyze, and process, so as to complete a goal-oriented task.
Also, autonomic computing systems are self-managing and it is similar in operations with the autonomic nervous system in humans, and as such it can be used in construction projects and assembly lines for optimum automated production.
In conclusion, automation technology through robots, smart machines and computers has reduced the need for people in many jobs, including trained craft professionals.
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a) Define the term magnetic flux
Answer:
Magnetic flux is a measurement of the total magnetic field which passes through a given area. It is a useful tool for helping describe the effects of the magnetic force on something occupying a given area.
Magnetic flux is a measurement of the total magnetic field which passes through a given area, If we use the field-line picture of a magnetic field then every field line passing through the given area contributes some magnetic flux. The angle at which the field line intersects the area is also important.
a homeowner consumes 700 kwh of energy in march. determine the average cost per kwh for the month using the following residential rate schedule: base monthly charge of $10.00. first 100 kwh per month at 16 cents/kwh. next 200 kwh per month at 10 cents/kwh. over 300 kwh per month at 6 cents/kwh.
Answer:
10 cents/kwh
Explanation:
Base monthly charge = $10.00
First 100 kwh at $0.16/kwh = $16.00
Next 200 kwh at $0.10/kwh = $20.00
Remaining 400 kwh at $0.06/kwh = $24.00
Total charge = $10 + $16 + $20 + $24 /(100+200+400)
Average cost = $70/700 or 10 cents/kwh
Which option explains how the engineer will be able to distributo water throughout the region in the following scenario?
An engineer is transferred overseas to a remote location to increase the area's water supply. There is limited electricity in this area.
The engineer will improve the electrical supply houses to assist in running the water plants.
The engineer will incorporate his knowledge of mercury, oil, and other liquids to assist with this process.
The engineer will partner with local civil engineers to brainstorm different solutions to distribute the water.
The engineer will use an elevated water tank to disseminate the water throughout the region.
Answer:
The engineer will use an elevated water tank to disseminate the water throughout the region.
Explanation:
Most cities in the world use Pascal's finding to provide water to people. Some cities use water towers, and others situate large water tanks on the tops of tall buildings. While homes might experience cable, satellite, or electricity outages, water seems to always be available. How is that possible? Thanks to Blaise Pascal's experiments, civil engineers realize that an elevated tank of water (or any fluid) provides enough pressure to force the water into the pipes that can send the water to multiple houses in a region.
19) The stator winding of a three-phase motor is often referred to as
a. motor primary
b. motor secondary
c. phase primary
d. phase secondary ransfor
The stator winding of a three-phase motor is often referred to as the motor primary. So, the correct choice is option a.
In a three-phase motor, the stator winding is responsible for creating the rotating magnetic field necessary for the motor's operation. It is called the "primary" because it is the primary source of electromagnetic power in the motor. The stator winding consists of coils of wire that are carefully arranged and connected to form three phases: A, B, and C. When an alternating current is passed through the stator winding, it generates a rotating magnetic field. This magnetic field interacts with the rotor, which is the rotating part of the motor, causing it to rotate and produce mechanical power.
The term "primary" is used to distinguish the stator winding from the "secondary" winding, which is found in certain types of motors like transformers. In transformers, the primary winding receives electrical power and transfers it to the secondary winding through electromagnetic induction. However, in a three-phase motor, the stator winding is the primary source of power that initiates the rotation and provides the driving force. It is crucial for generating the magnetic field that interacts with the rotor to convert electrical energy into mechanical energy.
Therefore, referring to the stator winding of a three-phase motor as the motor primary accurately describes its role and its significance in the motor's operation.
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a reason why mvc may reject your road test vehicle is because there is a lack of examiner access to emergency brake or .
Answer:
A reason why MVC may reject your road test vehicle is that there is a lack of examiner access to the emergency brake or foot brake. The examiner must be able to reach the brake pedal from the passenger seat in case of an emergency.
a runway identified as runway 27 serves operations oriented to which approximate direction?
A runway identified as runway 27 serves operations oriented to the westward direction.
What are runways?
A runway is defined as an airport's paved surface. A runway is used for aircraft takeoff and landing operations. The most important runway, without a doubt, is the primary runway, which is the longest runway that has lighting and instrument landing aids. Runways are usually numbered based on their compass bearings, and they are designated L or R if two runways are close together but not parallel. It's worth noting that the numbers don't signify the degree to which the runway is off of a north-south heading, but rather the runway's magnetic bearing.
How to identify the approximate direction of operations from the runway designation?
A runway identified as runway 27 serves operations oriented to the westward direction. The runway numbering system is used to determine the runway direction, which is based on its magnetic direction from 0 to 359 degrees. These numbers are used to designate runway headings in tens, as well as for headings within ten degrees. Runway 27 would be the one with the magnetic heading of approximately 270 degrees (270-279). As a result, an aircraft taking off or landing on runway 27 would travel in an approximately westward direction.
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*sapnap teaching you how to drive*
"Skeppy and Badboyhalo are crossing the street, what do you hit?"
"Skeppy, I would never hurt Bad."
"whA- THE BRAKES YOU HIT THE BREAKS!!"
*Dream wheezing from the back*
Answer:
yes dream
Explanation:
Answer:
Me: "i would just hit you, sapnap. In the freaking face" LOL
One of the requirements for tennis balls to be used in official competition is that, when dropped onto a rigid surface from a height of 120 in., the height of the first bounce of the ball must be in the range 55 in. <= h <= 60 in. Determine the range of the coefficients of restitution of the tennis balls satisfying this requirement. Any ideas on this?
Answer:
At temperature is and relative humidity is 86% therefore, the humidity ratio is 0.0223 and the specific volume is 14.289
At temperature is and Relative humidity is 40% therefore, the humidity ratio is 0.0066 and the specific volume is 13.535.
To calculate the mass of air can be calculated as follows:
Now , we going to calculate the volume,
The time which is required to fill the cistern can be calculated as follows:
Now, putting the value in above formula we get,
Therefore, the hours required to fill the cistern is 4.65 hours.
Explanation:
A hypothetical metal has an orthorhombic unit cell for which the a, b, and c lattice parameters are 0. 413 nm, 0. 665 nm, and 0. 876 nm, respectively. (a) If there are 8 atoms per unit cell and the atomic packing factor is 0. 536, determine the atomic radius (in nm). (b) If the density is 3. 99 g/cm3, calculate the metal's atomic weight (in g/mol)
The calculated value is 9.5 g/cm³. For the density calculation, we need to know the mass and the volume of the unit cell.
When = = = 90 and a = b = c, we have a cubic lattice; however, if c is greater than a and b (a= b), we have a tetragonal lattice. This lattice is identical to the simplest one, the cubic lattice, which can be simple or primitive cubic or body centered. Likewise, the tetragonal lattice can be primitive or body centered. When they inform us that there are atoms at all four corners and one in the center of the unit cell, we know it's a body-centered lattice.
= 123 g / mol x 1 mol / 6.022 x 10²³ x 2 atoms/unit cell
= 4.1 g x 10⁻²² g/unit cell
Finally, the density is calculated.
d = m/V
= 4.1 x 10⁻²² g /4.3 x 10⁻²³ cm³
= 9.5 g/cm³
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In developing engine designs, manufacturers use thermocouples to measure the ___________ of components, such as spark plugs and exhaust systems.
Answer: High temperatures
By observing the direction of current flow through the circuit, v oltage _____ can be determined.
a.drop b. polarity
Answer:
B. polarity
Explanation:
21. Protecting the whole ecosystem may help save many help save many species,but it will not help to maintain the ecosystem functions
False
True
Answer:
TRUE
Explanation: I think
protecting the ecosystem saves the species is true because a lot of species lives in the ecosystem and is there habitat / i think
The denity of a certain type of jet fuel i 775 kg/m3. Determine it pecific gravity and pecific weight
The correct answer is Specific weight: w = [weight ÷ volume] = [9N ÷ 0.001m³] = 9000N/m³Density: w = [ × g] Where, g = acceleration due to gravity = 9.81m/sec². Specific gravity: G = [density of liquid ÷ density of water] As you know, The density of water = 1000kg/m³.
The density of a substance is divided by the density of water at 4 degrees Celsius to determine its specific gravity. The density of the substance and the density of the water must be represented in the same units for the calculation.distinguishes While specific weight has dimensions, specific gravity is a dimensionless number. The gravitational field has no effect on a material's specific gravity, but it does have an effect on a material's specific weight. A substance's "Specific Gravity" is determined by dividing its mass by the mass of an equivalent volume of water at the same pressure and temperature.
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What are the base cases in the following recursive method?
public static void xMethod(int n) {
if (n > 0) {
System.out.print(n % 10);
xMethod(n / 10);
}
}
A. n > 0
B. n <= 0
C. no base cases
D. n < 0
The base case in the recursive method xMethod(int n) is n <= 0. So, the option B. n <= 0 is right answer.
The base case is the point at which the recursion ends. In this case, the recursion ends when n becomes less than or equal to 0. When n is less than or equal to 0, the if condition n > 0 is false and the recursive call to xMethod(n / 10) is not executed. This stops the recursion.
In contrast, option A, n > 0, is the condition that triggers the recursive call, and option D, n < 0, is not a valid base case because the if condition n > 0 will never be true when n is less than 0. Option C, "no base cases," is not correct because every recursive method must have a base case to prevent infinite recursion.
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To reduce the pressure in the fuel line the forklift operator should
Answer:
Shut off cylinder valve before turning off forklift.
Explanation:
To reduce the pressure in the fuel line, the forklift operator should keep the engine running with the garage door closed and sealed.
What is a forklift operator?In warehouses and on construction sites, a forklift driver is in charge of delivering, moving, loading, and unloading a range of commodities.
Always release the pressure in the LPG lines before disconnecting while filling LPG tanks. To accomplish this, shut off the tank valve and let the engine run until the lines are completely empty.
Before opening the valve on the new tank, shut off the engine and make sure the LPG tanks are fastened to the forklift.
Therefore, the forklift driver should keep the engine running with the garage door closed and sealed in order to lower the pressure in the fuel line.
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__ strength is a measure of the maximum stress that a material can resist under tensile stress
Tensile strength is a measure of the maximum stress that a material can resist under tensile stress.
The strength of a material is a measure of its ability to withstand external forces without breaking or deforming. It is usually expressed as the maximum stress that a material can withstand before it fails. In the case of tensile strength, this refers to the maximum stress that a material can resist under tension, which is when a force is applied to pull it apart.
Tensile strength is an important property to consider when selecting materials for engineering applications. The tensile strength of a material can be determined through a variety of tests, including the tensile test, where a sample of the material is subjected to tension until it breaks.
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write a paragraph about this passage will give 50 points i need it in 20 mins
Answer: about what ??
Explanation:
Answer:
Inspectors
Explanation:
Inspectors are workers that are involved in the construction industry. Most of them can be called a building inspector due to their job consists mostly of inspecting electrical, mechanical or plumbing systems. Half of the people who are inspecting work for the local government. They mostly ensure that everything is up to date and follows the local government standards. The inspector's work begins even before the construction starts. They analyze the structural integrity of the blueprints, ensure that everything is safe, and inspect the location of the actual building. During the construction process they inspect the foundation, plumbing, electrical wiring, framing, and the mechanical system. They may issue a occupancy permit once the building is finished. Inspectors are required to have a thorough knowledge of their job and how it works. They are also required to know all the local building codes and regulations in order to determine whether or not the building is safe for use. Generally a good background and having expertise in electrical or plumbing systems is very desirable. Working conditions are similar to most construction workers although it may be less physically demanding. Inspectors normally take ladders, navigate through messy areas filled with tools or work in confined spaces.
The big ben clock tower in london has clocks on all four sides. If each clock has a minute hand that is 11.5 feed in length, how far does the tip of each hand travel in 52 minutes?
Answer:
Updated question
The big ben clock tower in London has clocks on all four sides. If each clock has a minute hand that is 11.5 feet in length, how far does the tip of each hand travel in 52 minutes?
The distance traveled by the tip of the minute hand of the clock would be 62.59 ft
Explanation:
Let us assume the shape of the clock is circular.
the minute hand is equal to the radius = 11.5 ft
Diameter = radius x 2
Diameter = 11.5 x 2 = 23 ft
The distance traveled by the tip of the minute hand can be calculated thus;
the fraction of the circumference traveled by the minute hand would be;
52/60 = 0.8667
Circumference of the clock would be;
C = pi x d
where C is the circumference
pi is a constant
d is the diameter
C = 3.14 x 23
C = 72.22 ft
Therefore the fraction of the circumference covered by the minute hand would be;
72.22 ft x 0.8667 = 62.59 ft
Therefore the distance traveled by the tip of the minute hand of the clock would be 62.59 ft