A stainless steel manufacturing factory has a maximum load of 1,500kVA at 0.7 power factor lagging. The factory is billed with two-part tariff with below conditions: Maximum demand charge = $75/kVA/annum Energy charge = $0.15/kWh Ans Capacitor bank charge = $150/kVAr • Capacitor bank's interest and depreciation per annum = 10% The factory works 5040 hours a year. Determine: a) the most economical power factor of the factory; b) the annual maximum demand charge, annual energy charge and annual electricity charge when the factory is operating at the most economical power factor; c) the annual cost saving;

Answers

Answer 1

A stainless steel manufacturing factory has a maximum load of 1,500 kVA at 0.7 power factor lagging.

The factory is billed with two-part tariff with the below conditions:Maximum demand charge = $75/kVA/annumEnergy charge = $0.15/kWhCapacitor bank charge = $150/kVArCapacitor bank's interest and depreciation per annum = 10%The factory works 5040 hours a year.To determine:a) The most economical power factor of the factory;

The most economical power factor of the factory can be determined as follows:When the power factor is low, i.e., when it is lagging, it necessitates more power (kVA) for the same kW, which results in a higher demand charge. As a result, the most economical power factor is when it is nearer to 1.

In the provided data, the power factor is 0.7 lagging. We will use the below formula to calculate the most economical power factor:\[\text{PF} =\frac{\text{cos}^{-1} \sqrt{\text{(\ }\text{MD} \text{/} \text{( }kW) \text{)}}}{\pi / 2}\]Here, MD = 1500 kVA and kW = 1500 × 0.7 = 1050 kWSubstituting values in the above equation, we get:\[\text{PF} =\frac{\text{cos}^{-1} \sqrt{\text{(\ }1500 \text{/} 1050 \text{)}}}{\pi / 2} = 0.91\].

Therefore, the most economical power factor of the factory is 0.91.b) Annual maximum demand charge, annual energy charge, and annual electricity charge when the factory is operating at the most economical power factor;Here, power factor = 0.91, the maximum demand charge = $75/kVA/annum, and the energy charge = $0.15/kWh.

Let's calculate the annual maximum demand charge:Annual maximum demand charge = maximum demand (MD) × maximum demand charge= 1500 kVA × $75/kVA/annum= $112,500/annumLet's calculate the annual energy charge:Energy consumed = power × time= 1050 kW × 5040 hours= 5292000 kWh/annumEnergy charge = energy consumed × energy charge= 5292000 kWh × $0.15/kWh= $793,800/annum.

The total electricity charge = Annual maximum demand charge + Annual energy charge= $112,500/annum + $793,800/annum= $906,300/annumTherefore, when the factory is operating at the most economical power factor of 0.91, the annual maximum demand charge, annual energy charge, and annual electricity charge will be $112,500/annum, $793,800/annum, and $906,300/annum, respectively.

c) Annual cost-saving;To calculate the annual cost saving, let's calculate the electricity charge for the existing power factor (0.7) and the most economical power factor (0.91) and then subtract the two.

Annual electricity charge for the existing power factor (0.7):Maximum demand (MD) = 1500 kVA, power (kW) = 1050 × 0.7 = 735 kWMD charge = 1500 kVA × $75/kVA/annum = $112,500/annumEnergy consumed = 735 kW × 5040 hours = 3,707,400 kWhEnergy charge = 3,707,400 kWh × $0.15/kWh = $556,110/annumTotal electricity charge = $112,500/annum + $556,110/annum = $668,610/annumAnnual cost-saving = Total electricity charge at the existing power factor – Total electricity charge at the most economical power factor= $668,610/annum – $906,300/annum= $237,690/annumTherefore, the annual cost-saving will be $237,690/annum.

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Related Questions

Which xml attribute for a menu action item is used to specify if the item appears in the toolbar itself or in the overflow menu?
A. showInOverflow
B. overflowShow
C. showExtended
D. showAsAction

Answers

The XML attribute for a menu action item that is used to specify whether the item appears in the toolbar itself or in the overflow menu is D. showAsAction.

What is a Toolbar?

A toolbar is a graphical user interface (GUI) element that allows users to execute commands. It's usually found at the top of a program's window. It is a container that houses a set of visual controls used to complete an operation in a GUI design. It's a critical UI feature that's frequently employed in various Android applications.

What is an Overflow Menu?

An overflow menu is a menu in Android that includes a collection of actions and options that are not displayed on the screen's layout. This menu is accessible by clicking on the vertical ellipsis in the toolbar. The overflow menu can be used to store seldom-used options that can be seen by pressing the menu button on an Android device.

What is the significance of showAsAction in an action bar?

The showAsAction attribute in the action bar specifies how an item should be displayed. You may set the showAsAction attribute to various values to change how the item is displayed. It can be used to make items appear in the overflow menu or directly in the toolbar itself. By default, an item is placed in the overflow menu when there isn't enough room for it to be visible in the toolbar itself. To force an item to always appear in the toolbar, the showAsAction attribute can be set to "always."

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a highway produces SPL of 64 dB at a distance of 250 ft from the highway, determine the SPL at the following distances from the highway:
A) 150 ft under hard surface condition
B) 500 ft under soft surface condition
c) 1500 ft under soft surface condition

Answers

Using the Inverse Square Law, the SPL at 150 ft under hard surface condition is 58.57 dB, at 500 ft under soft surface condition is 61.98 dB, and at 1500 ft under soft surface condition is 51.02 dB.

Given:

Distance of the highway (r) = 250 ft

Sound Pressure Level (SPL) at distance r (L1) = 64 dB

Sound Pressure Level follows the Inverse Square Law. According to this law, the SPL decreases by 6 dB when the distance is doubled, and it increases by 6 dB when the distance is halved.

Mathematically, it can be written as,L1/L2 = (r2/r1)² Where,

L1 is the SPL at distance r1 and L2 is the SPL at distance r2.

Substituting the given values and solving, we get the following:

For A) 150 ft under hard surface condition: L2 = L1 - 20 log(r2/r1) dB where

r1 = 250 ft, r2 = 150 ftL2 = 64 - 20 log(150/250) = 58.57 dB

For B) 500 ft under soft surface condition: L2 = L1 - 20 log(r2/r1) dB where

r1 = 250 ft, r2 = 500 ftL2 = 64 + 20 log(250/500) = 61.98 dB

For c) 1500 ft under soft surface condition: L2 = L1 - 20 log(r2/r1) dB where

r1 = 250 ft, r2 = 1500 ftL2 = 64 + 20 log(250/1500) = 51.02 dB

Hence, the SPL at distances 150 ft under hard surface condition, 500 ft under soft surface condition, and 1500 ft under soft surface condition are 58.57 dB, 61.98 dB, and 51.02 dB, respectively.

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tech a says that rod bearings are held in place by the torque of the rod bolts crushing the bearing into the big end of the rod bore. tech b says that one of the connecting rod bearings act as a thrust bearing for the engine. who is correct?

Answers

There may be a thrust bearing on either side of the engine.

In a crankshaft, rod bearings are the bearings that allow the connection rod to rotate on the crankshaft. Tech A and Tech B both provided information regarding the same topic. Tech A says that rod bearings are held in place by the torque of the rod bolts crushing the bearing into the big end of the rod bore. Tech B says that one of the connecting rod bearings acts as a thrust bearing for the engine. Let's discuss each one in brief:Tech A is correct: The correct answer is Tech A, as Rod bearings are held in place by the torque of the rod bolts crushing the bearing into the big end of the rod bore. The big end of the connecting rod has a machined half-moon-shaped hole in it, which is where the bearing shells are mounted. As torque is applied to the rod bolts, the conrod is pulled tight against the crankshaft, crushing the bearing shells between the rod and the crankshaft.Tech B is not completely accurate: Though it is true that some connecting rod bearings serve as thrust bearings, it is not entirely accurate. The thrust bearing is generally located between the front of the engine block and the rear of the crankshaft, and its purpose is to resist forward and backward crankshaft movement due to combustion pressures.

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Binary Search Tree (BST) Operations Show the BST that versuha from intering the vakten 7.5, 9,6, 0, 2, 10 in that order. a) BST a) Pre-order traversal (you just need to list the sequence of the nodes visited) b) In order traversal (you just need to list the sequence of the nodes visited) =) Post-order traversal (you just need to list the sequence of the nodes visited)

Answers

The main answer is as follows:

a) BST after inserting the values 7.5, 9, 6, 0, 2, 10 in that order.

b) Pre-order traversal: 7.5, 6, 0, 9, 2, 10.

c) In-order traversal: 0, 6, 7.5, 2, 9, 10.

d) Post-order traversal: 0, 6, 2, 10, 9, 7.5.

What is the sequence of nodes visited in the different traversal orders?

In a binary search tree (BST), different traversal orders allow us to visit the nodes in a specific sequence. The three commonly used traversal orders are pre-order, in-order, and post-order.

The pre-order traversal visits the nodes in the order: root, left subtree, right subtree. In this case, the pre-order traversal sequence is 7.5, 6, 0, 9, 2, 10.

The in-order traversal visits the nodes in the order: left subtree, root, right subtree. For the given BST, the in-order traversal sequence is 0, 6, 7.5, 2, 9, 10.

The post-order traversal visits the nodes in the order: left subtree, right subtree, root. The post-order traversal sequence for the given BST is 0, 6, 2, 10, 9, 7.5.

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An isolated charged soap bubble of radius R 0 = 6. 95 cm is at a potential of V 0 = 307. 0 volts. If the bubble shrinks to a radius that is 39. 0 % of the initial radius, by how much does its electrostatic potential energy U change? Assume that the charge on the bubble is spread evenly over the surface, and that the total charge on the bubble remains constant

Answers

The electrostatic potential energy U changes by -0.39307 J.

The electrostatic potential energy of a system is given by the equation U = 1/2 * QV, where Q is the total charge on the system and V is the potential difference.

If the radius of the bubble shrinks by 39%, the potential difference will also shrink by the same amount, thus changing the potential energy. To calculate this change, we can use the equation: U = 1/2 * QV_initial - 1/2 * QV_final.

Since Q is constant, the change in potential energy is simply the change in V. Hence, U = 1/2 * Q(V_initial - (V_initial * 0.39)) = -0.39307 J

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Write one page summary about engineering.

Answers

Answer:

this is the answer

Explanation:

this the summery about engineering

Write one page summary about engineering.
Write one page summary about engineering.
Write one page summary about engineering.
Write one page summary about engineering.

WHAT IS A TOROID IN HYDRAULUCS?

Answers

Answer:

A hydraulic actuator comprised of a toroidal piston within a toroidal enclosure, with differential fluid pressure alternatively applied to upper and lower surfaces of the piston to cause a reciprocating motion, and with plural double ended piston rods extending in parallel above and below the piston, and slidably extending in fluid sealed relation through end caps of the toroidal enclosure to distribute the vibrational force produced by the reciprocating piston over plural points of a surface area of the mass to be vibrated, thereby reducing the likelihood of stress, strain, or harmonics in the mass.

Answer:

Expl

A hydraulic actuator comprised of a toroidal piston within a toroidal enclosure, with differential fluid pressure alternatively applied to upper and lower surfaces of the piston to cause a reciprocating motion, and with plural double ended piston rods extending in parallel above and below the piston, and slidably extending in fluid sealed relation through end caps of the toroidal enclosure to distribute the vibrational force produced by the reciprocating piston over plural points of a surface area of the mass to be vibrated, thereby reducing the likelihood of stress, strain, or harmonics in the mass.anation:

This is silence I couldent find the tab... 30 points plus marked brainliest if corrects!


The most recent evidence supporting the theory of plate tectonics would include
es )
A)
GPS monitoring of plate speeds and movements.
B)
the WWII discovery of paleomagnetic reversals.
Elimi
O
the 1963 mapping of the tectonic plate boundaries.
D
C-14 dating of marine fossils found in the Himalayas.

Answers

Yeah the answer is A

Tea brewed for iced tea should never be held for more than which of the following time periods?
1 hour
4 hours
8 hours
12 hours

Answers

than 12 hours or at least that’s what i know

to improve visibility and highlight the edges of equipment, which color is used?

Answers

Yellow is used to improve visibility and highlight the edges of equipment.

Yellow is a highly visible color that stands out in various environments. It is often used for safety purposes, including marking hazardous areas, indicating caution, and drawing attention to objects or equipment. When applied to the edges of equipment, yellow helps to enhance visibility and create contrast, making it easier for individuals to identify and navigate around the equipment. This color choice is particularly useful in environments where there may be low light conditions or potential hazards.

Thus, yellow color is used to visibility and highlight the edges of equipment.

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Evaluate the intensity of solar radiation for 6 September 2021 , given solar constant ( Isc ) = 1800 W / m2

Answers

Answer:

The answer is "\(1802.1978 \ \frac{w}{m^2}\)"

Explanation:

The Solar radiation  reaches the earth surfaces is given by

\(I=Isc(1+0.033 \cos \frac{360.(n)}{365.25})\)

where n is number of days in years

n for 6 September 2021:

\(\to n= 31+28+31+30+31+30+31+31+6\\\\\to n= 249\)

\(\to I=Isc(1+0.033 \cos \frac{360 \alpha 249}{365.25})\\\\\to I=1800(1+0.033(+0.037))\\\\\to I =1800(1.001221)\\\\\to I=1802.1978 \ \frac{w}{m^2}\)

the contact(s) in a potential type starting relay are normally closed

Answers

In a potential-type starting relay, the contacts are normally closed.What is a potential-type starting relay?Potential-type starting relays are devices used to initiate the running of electric motors. It works by connecting the starter winding to the power supply through the starting relay contacts.

These relays operate based on the voltage supplied across the starting winding of the motor.The potential relay is designed with a start capacitor in series with the relay coil and the starting winding. It has two sets of contacts: the starting contacts and the running contacts. The starting contacts are responsible for making the connection between the capacitor and the starting winding for a specified time during the start-up process. The running contacts, on the other hand, remain open during the starting process.

What does it mean when the contacts in a potential-type starting relay are normally closed?In potential-type starting relays, the contacts are normally closed. This means that the contacts are in a closed state when the relay is in a de-energized state. During the starting process, the relay coil is energized, which causes the contacts to open, disconnecting the start capacitor from the winding. Once the motor starts running, the relay coil is de-energized, and the contacts return to their normally closed state, ready to start the motor again when required.In conclusion, the contacts in a potential-type starting relay are normally closed when the relay is in a de-energized state.

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When using a digital multimeter, setting the meter to a higher range than is noramally require will

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When using a digital multimeter, set the meter to a higher range than is normally required will the range selector to be set to AC for of current and the maximum range selected for the current measurement.

What is a Digital Multimeter?

Digital multimeters are measuring tools capable of measuring voltage, current, and resistance. Measured data are shown on a digital display, allowing even inexperienced users to view them quickly and immediately.

Multimeters are classified into two categories: analog and digital. The key distinction between the two is the display; an analog multimeter displays the value with a needle, whilst a digital multimeter displays the data as numbers on a screen.

Analog multimeters are less accurate than digital multimeters. Standard analog multimeters typically have a 3% accuracy. Digital multimeters have an accuracy of 0.5%. Because of erroneous pointer readings, analog multimeters are also less accurate.

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Gantt Charts are used to:
A. Show relationships between activities
B. Show the overall length of the project and each activity
C. Show float
D. Describe the WBS

Answers

Gantt Charts are used to show the overall length of the project and each activity.

What is gantt chart ?

A Gantt chart is a sort of bar chart that shows a project timetable. It was created by Henry Gantt, who popularized the format between the years of 1910 and 1915. The dependence structures between activities and the state of the current schedule are also displayed in modern Gantt charts.

A Gantt chart is a project management tool that helps with the planning and scheduling of projects of all kinds. They are especially helpful for streamlining complex projects, though.

Thus, option B is correct.

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For this given problem, if the yield strength is now 45 ksi, using Distortion Energy Theory the material will _______ and using the Maximum Shear Stress Theory the material will __________
a. fail / not fail
b. fail /fail
c. not fail/fail
d. not fail/not fail

Answers

Answer:

Option A - fail/ not fail

Explanation:

For this given problem, if the yield strength is now 45 ksi, using Distortion Energy Theory the material will _fail______ and using the Maximum Shear Stress Theory the material will ___not fail_______

In the figure, a stone is projected at a cliff of height, h, with an initial speed of 46.0 m/s directed at an angle θ0=65.0 above the horizontal. The stone strikes at A, 5.54 s after launching. Find:(a) the height, h of the cliff(b) the speed of the stone just before impact at A(c) the maximum height, H reached above the ground.

Answers

(a) The height of the cliff is 80.5 m

(b) The final velocity of the stone before it strikes A is 26.22 m/s

(c) The maximum height reached by the stone is 88.67 m

What is an illustration of velocity?

Velocity may be defined as the rate at which an object moves in a certain direction. as the pace of a car driving north on a roadway or the pace at which a rocket takes off.

How can I determine velocity?

By dividing the amount of time it took the item to go a certain distance by the overall distance, one may calculate the object's initial velocity. V is indeed the velocity, the distance d while t is the time inside the formula V = d/t.

(a) Using the same coordinate system assumed in Eq. , we solve for y=h:

h=y₀+v₀sinθ₀t−1/2gt²

which yields h=80.5m for y₀=0, v₀=46.0m/s, θ₀=65.0°, and t=5.54s.

(b) The horizontal motion is steady, sovₓ =v₀ₓ =v₀cosθ₀ but the vertical component of velocity varies according to Eq. . Thus, the speed at impact is

v=√(v₀ cos₀)²+(v₀ sinθ₀− gt)²=26.22m/s

(c) We use Eq.  with vy and y=H:

H=(v₀sinθ₀)²/2g=88.67m.

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Hi im ***ar and im doing sculptural but what should it be about star wars or Marvel

Answers

Answer:

Cool I think u should do Marvel first

calculate force and moment reactions at bolted base O of overhead traffic signal assembly. each traffic signal has a mass 36kg, while the masses of member OC and AC are 50Kg and 55kg, respectively. The mass center of mmber AC at G.​

Answers

Answer:

The free body diagram of the system is, 558 368 368 508 O ?? O, Consider the equilibrium of horizontal forces. F

Explanation:

I hope this helps you but I think and hope this is the right answer sorry if it’s wrong.

Process synchronization can be done on

Answers

Answer:

it is c) both (a) and (b)

Explanation:

What is promotion? a company's portion of the total industry sales for a certain type of product the value placed on a product, usually given in monetary terms determining how to get the product to the right people, in the right amounts, at the right time and place any form of communication that a business uses to inform, persuade, or remind potential customers about their products

Answers

Promotion is any form of communication that a business uses to inform, persuade, or remind potential customers about their products. The goal is to raise awareness, draw attention to, and encourage consumers to purchase the product over competing options.

All of the activities that inform consumers about a product, brand, or service are referred to as promotions.

Companies communicate about sales promotions through a variety of media, including printed materials like posters, coupons, direct mail pieces, and billboards; radio and television commercials; and digital media like text messaging, email, websites, and social media, among others.

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A balanced three-phase inductive load is supplied in steady state by a balanced three-phase voltage source with a phase voltage of 120 V rms. The load draws a total of 10 kW at a power factor of 0.85 (lagging). Calculate the rms value of the phase currents and the magnitude of the per-phase load impedance. Draw a phasor diagram showing all tlme voltages and currents.

Answers

Answer:

Following are the solution to the given question:

Explanation:

Line voltage:

\(V_L=\sqrt{3}V_{ph}=\sqrt{3}(120) \ v\)

Power supplied to the load:

\(P_{L}=\sqrt{3}V_{L}I_{L} \cos \phi\)

\(10\times 10^3=\sqrt{3}(120 \sqrt{3}) I_{L}\ (0.85)\\\\I_{L}= 32.68\ A\)

Check wye-connection, for the phase current:

\(I_{ph}=I_L= 32.68\ A\)

Therefore,

Phasor currents: \(32.68 \angle 0^{\circ} \ A \ ,\ 32.68 \angle 120^{\circ} \ A\ ,\ and\ 32.68 -\angle 120^{\circ} \ A\)  

Magnitude of the per-phase load impedance:

\(Z_{ph}=\frac{V_{ph}}{I_{ph}}=\frac{120}{32.68}=3.672 \ \Omega\)

Phase angle:

\(\phi = \cos^{-1} \ (0.85) =31.79^{\circ}\)

Please find the phasor diagram in the attached file.

A balanced three-phase inductive load is supplied in steady state by a balanced three-phase voltage source

b) Consider a large plane wall of thickness L = 0.4 m, thermal conductivity k = 1.8 W/m·K, and surface area A = 30 m2. The left side of the wall is maintained at a constant temperature of T1 = 90°C while the right side loses heat by convection to the surrounding air at

Answers

Answer:

A is correct

Explanation:

I took the test

Hydraulic fracturing is: Select one: a. a first step in storage of high-level radioactive waste b. a way of extracting natural gas shale formations c. a step in oil refining where oil is separated into different viscosities d. none of the above

Answers

The answer is B - a way of extracting natural gas shale formations.

Hydraulic fracturing is “a way of extracting natural gas shale formations.”

Shale and other types of "tight" rock, or impermeable rock formations that lock in oil and gas and complicate the production of fossil fuels, can be extracted of their natural gas or oil using the modern high-volume hydraulic fracturing process. Thus, option B is correct.

What are the factor involving in Hydraulic fracturing?

Shale gas is extracted through a procedure called hydraulic fracturing, also referred to as “fracking.” Due to the fact that shale reserves are often dispersed horizontally rather than vertically, deep holes are first drilled into the shale rock, then horizontal drilling is used to reach more of the gas.

A mixture of sand, chemicals, and water is pushed at high pressure down a borehole during hydraulic fracturing. The released gas can flow out of the rocks and back up the borehole because the water pressure causes cracks in the rock to widen, and the sand particles settle into the openings to keep them open.

Therefore, a way of extracting natural gas shale formations.

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what are the 8 steps of the engineering design process

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The engineering design process is a cyclical process, and the engineer may need to repeat steps or modify the design as new information is gathered or the requirements change. The process is iterative, meaning that the engineer may repeat the cycle of steps multiple times until a successful solution is developed.

The engineering design process is a systematic approach that engineers use to develop solutions to real-world problems. The process includes the following eight steps:
1. Define the Problem: In this step, the problem is identified and the purpose of the solution is established. Engineers consider factors such as the constraints, requirements, and objectives of the project.
2. Conduct Research: Once the problem is defined, engineers research existing solutions, materials, and technologies that may be useful in developing a solution.
3. Develop Requirements: Based on the research, the engineer develops a list of requirements that the solution must meet. These requirements may include constraints such as cost, size, weight, or environmental factors.
4. Brainstorm Possible Solutions: In this step, engineers use creative thinking techniques to develop multiple solutions to the problem.
5. Choose a Solution: After generating a list of possible solutions, the engineer evaluates each solution based on the requirements and selects the best solution.
6. Develop a Prototype: A prototype is a preliminary model of the solution. In this step, the engineer creates a physical or virtual model of the solution to test and refine it.
7. Test and Evaluate the Solution: In this step, the engineer tests the prototype to determine if it meets the requirements and solves the problem.
8. Refine the Solution: Based on the test results, the engineer refines the solution by making modifications to the design. This process may involve multiple iterations until the solution is fully developed.

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The velocity field u=Axi−Ayj represents flow in a “corner,” where =0.3^(−1) and the coordinates are measured in meters. A square abcdis marked in the fluid as shown in the figure to the right at =0.
1) Evaluate the new positions of the four corner points a’b’c’d’when point a has moved to =1.5 after seconds.
2) Evaluate the rates of linear deformation in the x and y directions.
3) Compare area a’b’c’d’at = with area abcd at =0.​

The velocity field u=AxiAyj represents flow in a corner, where =0.3^(1) and the coordinates are measured

Answers

Where the above conditions are given,

The new positions of the four corner points a’b’c’d’ are a’(1.45,1.7), b’(1.45,2.7), c’(2.55,2.7), and d’(2.55,1.7) after 0.05 seconds.The rates of linear deformation in the x and y directions are 0.08 and -0.08, respectively.The area a’b’c’d’ at =0.05 is 1 square meter, which is less than the area abcd at =0, which is 1.05 square meters.

What is the explanation for the above response?

1) To evaluate the new positions of the four corner points, we need to use the formula:

r(t) = r(0) + ∫[0,t] u(r(s)) ds

where r(0) is the initial position vector of the point, u is the velocity field, and the integral is taken over the path of the point from t=0 to t.

For point a, the initial position vector is:

r(0) = 1i + 1j

At t=1.5 seconds, the new position vector is:

r(1.5) = r(0) + ∫[0,1.5] u(r(s)) ds

We can evaluate the integral by substituting the velocity field and using the fundamental theorem of calculus:

∫[0,1.5] u(r(s)) ds = ∫[0,1.5] (Ax(s)i - Ay(s)j) ds

= [A/2 (s^2) i - A/2 (s^2) j] [from s=0 to s=1.5]

= 1.125 Ai - 1.125 Aj

Therefore, the new position vector of point a is:

a' = r(1.5) = 1i + 1j + 1.125 Ai - 1.125 Aj

= (1 + 1.125 A)i + (1 - 1.125 A)j

Similarly, we can find the new position vectors of points b, c, and d by using the same formula:

b' = (1 + 1.125 A)i + (2 - 1.125 A)j

c' = (2 - 1.125 A)i + (2 + 1.125 A)j

d' = (2 - 1.125 A)i + (1 + 1.125 A)j

Substituting A = 0.3^(-1), we get:

a' = 1.375i - 0.625j

b' = 1.375i + 0.375j

c' = 0.625i + 1.625j

d' = 0.625i + 0.375j

2)

The rates of linear deformation in the x and y directions are given by the formulas:

Dx = ∂u/∂x = A

Dy = ∂v/∂y = -A

where u and v are the x and y components of the velocity field, respectively.

Substituting A = 0.3^(-1), we get:

Dx = 3.333 m/s

Dy = -3.333 m/s

Therefore, the rate of deformation is the same in both the x and y directions, but with opposite signs.

The area of the square abcd at t=0 is:

Area(abcd) = |(b-a) x (c-a)| = |1i + j| x |i + j| = 1


3)

The area of the square a'b'c'd' at t=1.5 seconds is:

Area(a'b'c'd') = |(b'-a') x (c'-a')| = |0.75i - 1.25j| x |0.75i + 0.25j| = 0.5625

Therefore, the area of the square has decreased from 1 square meter to 0.5625 square meters, which means that the fluid is undergoing compression in both the x and y directions.

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A strain gauge is used to measure the strain on a vibrating beam which can vibrate up to a maximum frequency of 60 Hz. The strain gauge analog signal is converted in to a digital signal via an Analog to Digital Converter (ADC) in order to store the data on a computer hard drive. The engineer responsible for this measurement mistakenly selects a sampling frequency of 90 Hz for the ADC. (a) Determine the alias frequency due to the small sampling frequency. (b) Propose a sampling frequency that will not result into aliasing of the analog signal (make sure to provide your rationale for selecting this frequency)

Answers

The aliased frequency that is due to small sampling frequency is 675 Hz.

The proposed sampling frequency is 2f = 120

How to solve for the aliased frequency

The signal frequency that is given in the question is 60Hz

The sampling frequency is 90Hz

a. Using Nyquist frequency,

fn = 0.5*90Hz = 45Hz

The aliased frequency =  |n*fn - fs|

aliased frequency = |n*fn - fs|

We have  n >= 1/Fs = 17ms

Then the aliased frequency is = 17 x 45 - 90

= 675 Hz

b) The Nyquist sampling theorem

In order to avoid aliasing the sampling frequency, this has to be at least two times the highest frequency.

Therefore Fs =

2xF = 120Hz

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According to a snack cracker manufacturer, a batch of butter crackers has a defect rate of 8%. Suppose a quality inspector randomly inspects 500 crackers. Complete the following statement: The quality inspector should expect defective crackers, give or take how many crackers?
A. 40; 16
B. 60; 16
C. 40; 6
D. 60; 12

Answers

Answer:

C

Explanation:

I believe this should b corretc

a two-terminal solid-state device that allows current to flow in both directions once breakover voltage is reached and so long as holding current remains high enough is a(n) _____.

Answers

A two-terminal solid-state device that allows current to flow in both directions once breakover voltage is reached and so long as holding current remains high enough is a Thyristor.

What is a thyristor?A thyristor is a solid-state device that works as a switch, rectifier, and voltage controller. Thyristors are used to regulate power and electronic signals, particularly in applications such as DC motor control, heating control, and AC power transmission. They are also used in light dimming and inrush current limiting circuits.

A thyristor can operate in various modes, including reverse blocking, forward blocking, and bidirectional. The term "thyristor" is a generic name for any device with a multilayer semiconductor structure similar to that of a diode and a controlled switch that can be turned on and off. The name "thyristor" comes from its use as a "solid-state" equivalent of the thyratron tube, a vacuum tube.

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How do cars moves? and explain Please.

Answers

Answer:

when car vroom it go electric

Explanation:

i think then it goes to some spinny thing that spins and make the electric and the electic spins the spinny thing and the smoke comes outside the back

When the psychologist simply records the relationship between two variables...

Answers

When a psychologist simply records the relationship between two variables without manipulating them, it is called a correlational study.

The observed relationship does not by itself reveal which variable causes the other. This is the directionally problem. Also, the relationship may be due to a third variable controlling both of the observed variables.

Relationship between two variables.

The experimental research in psychology aims to analyze the relationships between the various variables. There are two variables such s independent and the dependent variable. The independent in the manipulated variable. Depended is measurable.

Thus the two variables are independent and dependent.

The psychologist can make use of the observations and survey method to record the source of the variables. Such as the independent variable depends on the dependent variable such as a rise in temperature will lead to dryness. The drop in temperature will lead to the cooling effect.

Thus the two variables can be recorded by the psychologist.

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