yes it will
Explanation:
What would decrease the resistance of wires carrying an electric current?
shorter wires
Look at the diagram showing resistance and flow of electrons.
Which labels best complete the diagram?
NOT
X: Flow of electrons
Y: High potential energy
Z: Low potential energy
Potential difference is measured in units called ___________.
.
Volts
Why is copper used for most electrical wiring?
It is a good conductor.
Measurements of two electric currents are shown in the chart.
Which best compares the two currents?
Current Y has a greater potential difference, and the charges flow at a slower rate.
Which lists types of materials from most conductive to least conductive?
NOT
insulator,
semiconductor,
conductor,
superconductor
In the diagram, the arrow shows the movement of electric charges through a wire connected to a battery.
What causes the electric charges to flow from one end of the battery to the other?
a difference in electric potential
Which most likely has the greatest conductivity?
a cool lead metal strip
Jodi made a list about electric current to help her study for a test.
1) Movement of electrons is continuous in a current.
2) Electrons move from areas of low to high electric potential.
3) Voltage causes current to flow.
4) Rate at which current flows is measured in amperes.
Which best describes Jodi's error?
Electrons move from areas of high to low electric potential.
Which two wire properties would provide the greatest resistance to the flow of a current?
long, thin
Because it is an excellent conductor, copper is used for the majority of electrical wiring, and shorter cables reduce the resistance of wires carrying an electric current.
1)smaller wires
2)NOT X: Electron flow
Y: Lots of potential energy
Z: Minimal potential energy
3)Volts
4) It has strong conductivity.
5) The charges move more slowly in current Y because of the larger potential difference.
6)NOT
insulator,
semiconductor,
conductor,
superconductor
7)Differences in electric potential
8) a cold slice of lead metal
9) Electrons flow between regions with high and low electric potential.
10) long and lean
The copper produced by electrolysis is known as pure copper or electrolytic copper. Numerous types of electrical wiring use copper as its electrical conductor. Electricity is produced, transmitted, and distributed via copper wire in telecommunications, electronic circuits, and a variety of other electrical devices.
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The following incomplete method is intended to sort its array parameter arr in increasing order.
// postcondition: arr is sorted in increasing order
public static void sortArray(int[] arr)
{
int j, k;
for (j = arr.length - 1; j > 0; j--)
{
int pos = j;
for ( /* missing code */ )
{
if (arr[k] > arr[pos])
{
pos = k;
}
}
swap(arr, j, pos);
}
}
Assume that swap(arr, j, pos) exchanges the values of arr[j] and arr[pos]. Which of the following could be used to replace /* missing code */ so that executing the code segment sorts the values in array arr?
A
k = j - 1; k > 0; k--
B
k = j - 1; k >= 0; k--
C
k = 1; k < arr.length; k++
D
k = 1; k > arr.length; k++
E
k = 0; k <= arr.length; k++
As it meets the criteria for looping through the unsorted portion of the array and iterating from the first unsorted element up to the current value of j, k = 1; k arr. length; k++.
How can I determine how many elements there are in an unsorted array?We must do a linear search to locate the largest value in an unsorted array by examining each element and keeping note of the location the maximum has been discovered thus far.
Which approach requires the least amount of time to search an entry in an unsorted array?The most popular method of searching an element in an unsorted array is by performing a linear search, which checks each element one by one from start to finish and has an O(n) complexity.
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prepare a function file named "circle.m" which calculates and returns the circumference of the area of a circle with the input of the radius (r) of the circle. the function should be called as follows [c, a] = circle (r)
use the matlab please
In MATLAB, a function file named "circle.m" which calculates and returns the circumference and area of a circle with the input of the radius (r) of the circle is shown below:```function [c, a] = circle(r)% Define a function called circle that takes the input of radius % and returns the circumference and area of the circle.
% Calculation of the circumference of the circlec = 2 * pi * r;% Calculation of the area of the circlea = pi * r^2;end```This function named "circle.m" takes one input parameter, which is the radius of the circle, and returns two output parameters, which are the circumference and area of the circle.
The function calculates the circumference and area of a circle using the input radius (r) provided. To use the function "circle.m," you can call it in your main script by using the following statement:```[c, a] = circle(r)```where "r" is the input radius of the circle. The function will calculate the circumference and area of the circle using the input radius (r) provided and return them as output parameters.
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When discussing relationships with others, whether it be friendship or love, companionship or intimacy, which theoretical perspective indicates this is an appropriate focus for the study of socioemotional development in early adulthood
Erik Erikson's psychosocial theory suggests that studying relationships, including friendships and romantic partnerships, is crucial for understanding socioemotional development in early adulthood.
How does relationships influence socioemotional development in early adulthood?One theoretical perspective that emphasizes the study of
socioemotional development in early adulthood, particularly in the context of relationships, is Erik Erikson's psychosocial theory.
Erikson proposed a series of psychosocial stages that individuals progress through across their lifespan, and one of the key stages relevant to early adulthood is the stage of intimacy versus isolation.
According to Erikson, the primary task during early adulthood is to develop intimate relationships with others while maintaining a sense of identity.
During this stage, individuals seek close and meaningful connections with friends, romantic partners, and potentially even long-term commitments such as marriage or starting a family.
It is through these relationships that individuals can experience companionship, love, and emotional intimacy.
Erikson argued that successfully navigating this stage leads to the development of a capacity for intimacy, which involves the ability to form deep and meaningful connections with others.
However, if individuals struggle to form these relationships or experience significant feelings of isolation and loneliness, they may face difficulties in establishing healthy relationships and may develop a sense of social isolation.
Thus, Erikson's psychosocial theory suggests that the study of relationships, whether they are friendships or romantic partnerships, is an appropriate focus for understanding socioemotional development in early adulthood.
By examining the formation of relationships and the factors that contribute to successful or unsuccessful relationship experiences, researchers can gain insights into how individuals develop social and emotional skills during this stage of life.
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the spring-loaded service valve used in air conditioning systems is called a ____ valve.
The spring-loaded service valve used in air conditioning systems is called a Schrader valve. It is a very common valve used in many different applications. The Schrader valve is named after its inventor, August Schrader.
The Schrader valve is typically found in air conditioning systems, refrigeration systems, and automobile tires. The valve is used to help control the flow of refrigerant or air through the system. It is a spring-loaded valve that is easy to use and very reliable.
There are many different types of Schrader valves available. Some are designed for high-pressure applications, while others are designed for low-pressure applications. Some Schrader valves are designed to be used with different types of refrigerants or air.
The spring-loaded service valve used in air conditioning systems is called a Schrader valve. The valve is very important to the overall operation of the air conditioning system. It is used to help control the flow of refrigerant through the system, which is critical to its operation.
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A helicopter landing pad is to be constructed over an area of 40 ft by 70 ft. It is to be 2 ft thick. How many cubic feet must be ordered?
The volume of cuboid in cubic feet which must be ordered is equal to 5,600 cubic feet.
Given the following data:
Length of helicopter landing pad = 40 ft.
Width of helicopter landing pad = 70 ft.
Height or thickness of helicopter landing pad = 2 ft.
How to calculate the volume of a geometric figure?Based on the information provided, we can reasonably infer and logically deduce that the shape of this helicopter landing pad is a cuboid.
Mathematically, the volume of a cuboid can be calculated by using this following formula:
Volume = l × w × h
Where:
l represents the length of a cuboid.w represents the width of a cuboid.h represents the height of a cuboid.Substituting the given parameters into the formula, we have;
Volume = 40 × 70 × 2
Volume = 5,600 cubic feet.
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element a has an electronegativity of 0.8 and element b has an electronegativity of 3.0. which statement best describes the bonding in a3b? a. The AB bond is largely ionic with a - on A.
b. The AB bond is largely ionic with a + on A.
c. The compound is largely ionic with no polar bonds.
d. The compound is largely covalent with no polar bonds.
e. There is insufficient information.
The best description of the bonding in a3b is option a. the AB bond is largely ionic with a - on A.This statement accurately captures the nature of the bonding, indicating that element a (A) has a partial negative charge (-) due to the transfer of electron(s) to element b.
How is the bonding in a3b described?The bonding in a3b is largely ionic is suggested by the fact that electronegativity difference between element a (0.8) and element b (3.0) is 2.2, which indicates a significant difference in their ability to attract electrons.
In an ionic bond, one atom (in this case, element b) has a higher electronegativity and tends to attract electrons more strongly than the other atom (element a). As a result, element b will acquire a partial negative charge, indicated by the presence of electron(s) in its outer shell, while element a will have a partial positive charge.
Since element b has a higher electronegativity, it can effectively pull the shared electrons towards itself, resulting in a partial negative charge. On the other hand, element a, with a lower electronegativity, will have a partial positive charge as it loses electron(s) to element b.
Therefore, the best description of the bonding in a3b is a. The AB bond is largely ionic with a - on A.
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Discuss the targeted design properties for resorbable polyurethanes for tissue repair and non-resorbable polyurethane permanent implants. How can the properties of the polyurethane be tailored to the application by modifying the structure?
The property is that polyurethanes have a good tear resistance as well as tensile strength.
What is polyurethanes?Polyurethane is an umbrella word for a group of polymers formed via the condensation of polyisocyanates and polyalcohols. Despite its xenobiotic origins, polyurethane has been discovered to be biodegradable by naturally occurring microbes.
Polyurethanes are synthesized by reacting a polyol (an alcohol having more than two reactive hydroxyl groups per molecule) with a diisocyanate or a polymeric isocyanate in the presence of appropriate catalysts and additives
To manage cell fate and tissue healing, biodegradable polyurethane platforms have been used. Cell bonding, spreading, multiplication, and separation are all influenced by framework features such as compound, mechanical, and primary. These are not fully fixed as the science of biodegradable polyurethanes, platform manufacturing technologies, and surface change approaches.
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Why should low and high side access valves be installed when recovering refrigerant from a household refrigerator
Answer:
Because it helps to speed up recovery and required recovery efficiency When recovering refrigerant from a household refrigerator who's compressor does not run
use fermat's theorem to find a number x between 0 and 28 with x85 congruent to 6 modulo 29. (you should not need to use any brute force searching.)
Fermat's theorem can be used to find a number x between 0 and 28 that satisfies the congruence x^85 ≡ 6 (mod 29). By applying the theorem, we can simplify the calculation and determine the value of x without resorting to brute-force searching.
Fermat's theorem states that if p is a prime number and a is an integer not divisible by p, then a^(p-1) ≡ 1 (mod p). In this case, the prime number is 29. We can rewrite the congruence x^85 ≡ 6 (mod 29) as x^(283+1) ≡ 6 (mod 29), which implies that x^(283) * x ≡ 6 (mod 29).
Using Fermat's theorem, we know that x^(28*3) ≡ 1 (mod 29), since 29 is a prime number. Therefore, the congruence simplifies to 1 * x ≡ 6 (mod 29), which gives us x ≡ 6 (mod 29).
To find the value of x within the range of 0 to 28, we can observe that 6 + 29 = 35 is a multiple of 29. Thus, x = 35 satisfies the congruence. However, since we are looking for a value between 0 and 28, we subtract multiples of 29 from 35 until we find a value within the desired range. In this case, 35 - 29 = 6, so x = 6 is the solution that satisfies x^85 ≡ 6 (mod 29) within the given constraints.
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Determine whether the following systems have the properties linearity, time invariance, BIBO stability, memory, causality, or invertibility. If the system is invertible, find its inverse. (a) y(t)=(t2−1)x(t−1) (b) y[n]=e−x[n] (c) y(t)=1−x(t) (d) y[n]=∑n0nx[n] where n0 is a fixed, finite time
(a) The system is linear, time-invariant, BIBO stable, has memory, is causal, and invertible.
(b) The system is linear, time-invariant, BIBO stable, has memory, is causal, but not invertible.
(c) The system is linear, time-invariant, BIBO stable, has memory, is causal, but not invertible.
(d) The system is linear, time-invariant, BIBO stable, has memory, is causal, and invertible with an inverse system y[n] = -x[n].
(a) For the system y(t) = (t^2 - 1)x(t - 1), we can see that it satisfies all the properties. It is linear because it exhibits the superposition property, meaning that if the input is scaled or added together, the output will also be scaled or added accordingly. It is time-invariant because the shift in the input results in a corresponding shift in the output. It is BIBO stable, meaning that for bounded inputs, the output remains bounded. It has memory as it depends on past and present values of the input. It is causal because the output does not depend on future values of the input. Finally, it is invertible, and its inverse can be found by reversing the operations, resulting in y(t) = x(t + 1).
(b) The system y[n] = e^(-x[n]) is linear because of the exponential function's properties. It is time-invariant as the shift in the input does not affect the output. It is BIBO stable since exponential functions are bounded. It has memory as it relies on past and present values of the input. It is causal because the output depends only on past and present values of the input. However, it is not invertible since the exponential function does not have a unique inverse.
(c) The system y(t) = 1 - x(t) is linear and time-invariant. It is BIBO stable as it involves simple algebraic operations. It has memory as it depends on past and present values of the input. It is causal because the output depends only on past and present values of the input. However, it is not invertible as the output does not uniquely determine the input.
(d) The system y[n] = ∑(n_0 to n) x[n] where n_0 is a fixed, finite time is linear, time-invariant, BIBO stable, has memory, and is causal. It satisfies all the properties. Moreover, it is invertible, and its inverse system can be represented as y[n] = -x[n-1], where the input is shifted one sample backward to obtain the inverse output.
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B1) 20 pts. The thickness of each of the two sheets to be resistance spot welded is 3.5 mm. It is desired to form a weld nugget that is 5.5 mm in diameter and 5.0 mm thick after 0.3 sec welding time. The unit melting energy for a certain sheet metal is 9.5 J/mm3 . The electrical resistance between the surfaces is 140 micro ohms, and only one third of the electrical energy generated will be used to form the weld nugget (the rest being dissipated), determine the minimum current level required.
Answer:
minimum current level required = 8975.95 amperes
Explanation:
Given data:
diameter = 5.5 mm
length = 5.0 mm
T = 0.3
unit melting energy = 9.5 j/mm^3
electrical resistance = 140 micro ohms
thickness of each of the two sheets = 3.5mm
Determine the minimum current level required
first we calculate the volume of the weld nugget
v = \(\frac{\pi }{4} * D^2 * l\) = \(\frac{\pi }{4} * 5.5^2 * 5\) = 118.73 mm^3
next calculate the required melting energy
= volume of weld nugget * unit melting energy
= 118.73 * 9.5 = 1127.94 joules
next find the actual required electric energy
= required melting energy / efficiency
= 1127 .94 / ( 1/3 ) = 3383.84 J
TO DETERMINE THE CURRENT LEVEL REQUIRED use the relation below
electrical energy = I^2 * R * T
3383.84 / R*T = I^2
3383.84 / (( 140 * 10^-6 ) * 0.3 ) = I^2
therefore 8975.95 = I ( current )
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
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
Feature toggles are useful for which activity?a) To enable continuous testingb) To prevent testing complexityc) To decouple deployment from released) To enable continuous code integeration
It is to be noted that Feature toggles are useful "To enable continuous code integration" (Option D)
What are Feature Toggles?A feature toggle is a method in software development that allows code to be turned "on" or "off" remotely without the need for a deploy. Product, engineering, and DevOps teams frequently employ feature toggles for canary releases, A/B testing, and continuous deployment.
In software development, a feature toggle is an alternative to keeping numerous feature branches in source code. During runtime, a condition in the code enables or disables a functionality. In agile environments, the toggle is used in production to turn on a feature on demand for certain or all users.
Feature flags and toggles are no longer merely best practices for software delivery, but are now increasingly essential for business operations. With the correct feature management platform, you can test new code securely, receive real-time feedback, and iterate rapidly.
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A carpentry hammer with a slightly rounded (or convex) face, used to drive the mail head flush without damaging the surface of the work, is called a ____
A carpentry hammer with a slightly rounded or convex face used to drive the nail head flush without damaging the surface of the work is called a "finishing hammer".
Finishing hammers are specifically designed for final carpentry work, where the appearance of the finished surface is important. The rounded face helps to prevent marring or denting the material while driving nails.
The handle of a finish hammer is typically made of wood or fiberglass, providing a comfortable grip and absorbing some of the shocks from the striking force. These hammers are commonly used in woodworking, cabinetry, and other fine carpentry applications.
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What invention of the Middle Ages contributed to making books easily available?
humans can do more work with machines than without them.
a. true
b. false
động cơ không đồng bộ 3 pha là gì
Answer:
uhhhhhhh lemme think
Explanation:
when using a deceleration lane to exit a roadway:
When using a deceleration lane to exit a roadway, you should reduce your speed gradually in the lane to safely exit onto the side road or highway ramp. It is important to stay in the designated deceleration lane until you have reached a safe speed to merge with the flow of traffic in the exit lane. When using a deceleration lane to exit a roadway, it is important to follow certain guidelines to ensure safe and efficient maneuvering.
1. Signal: Use your turn signal to indicate your intention to exit the roadway and move into the deceleration lane.
2. Slow down: Gradually reduce your speed as you enter the deceleration lane to match the speed of the exit ramp.
3. Maintain control: Keep your hands on the steering wheel and maintain a proper following distance from other vehicles. Do not slam on the brakes or make sudden turns.
4. Position your vehicle: Position your vehicle in the center of the deceleration lane, staying clear of the edge of the roadway.
5. Observe signs and markings: Pay attention to signs and pavement markings indicating the direction and speed of traffic flow, and follow them carefully.
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A refrigerator is made of which technology
Answer:
sheet metal
Explanation:
The primary energy source for the controller in a typical control system is either brainlythe primary energy source for the controller in a typical control system is either
Answer:
a pneumatic or electric power
Explanation:
The primary energy source for the controller in a typical control system is either "a pneumatic or electric power."
This is because a typical control system has majorly four elements which include the following:
1. Sensor: this calculates the controlled variable
2. Controller: this receives and process inputs from the sensor to the controlled device as output
3. Controlled device: this tweak the controlled variable
4. Source of energy: this is the energy used to power the control system. It could be a pneumatic or electric power
(a) Calculate the heat flux through a sheet of steel that is 10 mm thick when the temperatures oneither side of the sheet are held constant at 300oC and 100oC, respectively.(b) Determine the heat loss per hour if the cross-sectional area of the sheet is 0.25 m2.(c) What will be the heat loss per hour if a sheet of soda-lime glass is used instead
Answer:
do the wam wam
Explanation:
The heat flux is =1038kW/m² , the heat lost per hour is =259.5 kW, the heat lost per hour using a sheet of soda- lime glass.
Calculation of heat fluxThe thickness of steel( t) = 10mm = 10× 10^-³m
The temperature difference on both sides = 300-100
∆T = 200°C
But the formula for heat flux = q = k∆T/t
Where K = thermal conductivity for steel = 51.9W/mK.
Substitute the variables into the formula for heat flux;
q = 51.9 × 200/10 × 10-³
q = 10380 × 10³/10
q = 10380000/10
q = 1038000 W/m² = 1038kW/m²
To calculate the heat lost per hour if the cross sectional area is = 0.25 m2 use the formula q × A
= 1038kW/m² × 0.25 m2
= 259.5 kW.
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A gas stream contains 18.0 mole% hexane and the remainder nitrogen. The stream flows to a condenser, where its temperature is reduced and some of the hexane is liquefied. The hexane mole fraction in the gas stream leaving the condenser is 0.0500. Liquid hexane condensate is recovered at a rate of 1.50 L/min. (a) What is the flow rate of the gas stream leaving the condenser in mol/min? (Hint : First calculate the molar flow rate of the condensate and note that the rates at which C6H14 and N2 enter the unit must equal the total rates at which they leave in the two exit streams.) (b) What percentage of the hexane entering the condenser is recovered as a liquid?
Answer:
A. 72.53 mol/min
B. 76.2%
Explanation:
Please check attachment to see the diagram of the components I drew.
I first converted flow rate to a molar flow rate. I got 11.5mol/ min after converting. Check attachment
A.) When we create a balance on all these components
n1 + n2 + n3
n1 = n2 + 11.5
Creating a balance on hexane
n1y1C6H14 = n2y2C6H14 + n3y3C6H14
n1(0.18) = n2(0.05) + 11.5mol/min(1.00)
When we put the first equation into the second one:
(n2+11.5mol/min)0.18 + n2(0.05) + 11.5mol/min(1.00)
= 0.18n2 + 2.07min/mol = 0.5n2 + 11.5mol/min
Collect like terms
0.18n2 - 0.05n2 = 11.5 - 2.07min/mol
= 0.13n2 = 9.43
n2 = 9.43/0.13
n2 = 72.53 mol/min
72.53 is the flow rate of the gas stream leaving the burner.
B.) n1 = n2 + 11.5mol/min
n1 = 72.53mol/min + 11.5mol/min
n1 = 84.93mol/min
Amount of hexane entering condenser
n1c6H14 = y1C6H14 = 0.18(84.03mol/min)
= 15.1mol/min
The percentage condensed
= (11.5mol/min)/(15.1mol/min) * 100
= 76.2% of hexane is recovered as liquid
4.
error occurs when the measurement we think we see is not the
measurement being indicated by the instrument.
A. Positioning
B. Operator bias
C. Instrument
D. Observational
Answer: observational error
Explanation:
An Error occurs when the measurement is actually done by the Observational approach. Thus, the correct option is D.
What is an ideal method of measurement?The ideal methods of measurement are subdivided into two methods: They are as follows:
Direct measurement method.Indirect measurement method.The Direct measurement method involves the utilization of instruments such as micrometers, vernier calipers, coordinate measuring machines, etc. In this method, the unknown quantity is directly compared with the standard quantity.
In the Indirect measurement method, the physical parameter of the quantity is measured with the help of the direct method.
Positioning of the required quantity, operator-biased measurement, and the utilization of instruments for estimating the measurement of any unknown value are generally favored in order to eliminate the chances of errors.
Therefore, an Error occurs when the measurement is actually done by the Observational approach. Thus, the correct option is D.
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Crude oil at 20 c fills the space between two concentric cylinders 250 mm high and with diameters of 150 mm and 156 mm. Find the torque is required to rotate the inner cylinder at 12 r min, the outer cylinder rernaining stationary
the torque is required to rotate the inner cylinder at 12 r min, the outer cylinder remaining stationary is 11.0807 N-m.
we have left out some other important details, such as the time required to reach that rpm, whether the beginning state is at rest, and the axis around which the cylinder is revolving. However, we'll suppose that it will be 60 seconds (time is necessary to convert rpm to angular acceleration)
rotation around the center axis
Angular acceleration = torque + MOI
Currently, angular acceleration equals 2 rpm/(t 60).
In order to avoid getting an extremely high figure, we estimated that the diameter of the cylinder was 600 mm rather than 600 meters: angular acceleration= 1.047 rad/s² MOI for cylinder across center dia= 1/4MR²+ 1/12ML²
MOI= 10.5833 kg-m
Now, the product of these two is torque.
11.0807 N-m of torque
Various MOI equations can be used to compute for different axes of rotation.
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The complete question is:
Crude oil at 20 c fills the space between two concentric cylinders 250 mm high and with diameters of 150 mm and 156 mm. Find the torque is required to rotate the inner cylinder at 12 r min, the outer cylinder remaining stationary.
Assignment: Explain any three
ways that research can facilitate
the work of building technicians.
The three ways that research can facilitate the work of building technicians is that:
They will know the timeframe to start and complete the buildingThey will know the type and right materials to use.It will help them in the area of budgeting of equipment, tools and building materials needed.What do building technicians do?Building technicians are known to be people who help with some tasks around construction projects and building works.
Note that building technician overseeing a scope of tasks such as monitoring build progress and as such The three ways that research can facilitate the work of building technicians is that:
They will know the timeframe to start and complete the buildingThey will know the type and right materials to use.It will help them in the area of budgeting of equipment, tools and building materials needed.Learn more about technicians from
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. Bơm kiểu piston tác dụng đơn có áp suất p=0,64 Mpa và lưu lượng Q=3,5 l/s. Xác định tốc độ quay của trục bơm và công suất của bơm nếu biết đường kính piston D=150 mm; bán kính tay quay R=60 mm; hiệu suất thể tích của bơm là 0=0,94; hiệu suất chung của bơm b=0,80.
Answer:
not understand language
Find i0(t) for t>0 in the circuit.
Answer:
(b) io(t) = -6e^(-3000t) mA, t > 0
Explanation:
The inductor current at t=0 is 12 V/(2 kΩ) = 6 mA. When the switch is opened, that same current will continue to flow in the loop on the left. Its direction will continue to be down through the inductor, so in the negative direction with respect to the way io is defined.
This already tells you the correct answer choice: B.
__
The circuit time constant is L/R = (2 H)/(6 kΩ) = 1/3000 seconds. The exponent of the exponential decay will be t divided by this, or -3000t, also in agreement with choice B.
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