Answer: B, plumb bob
Explanation:
A plumb bob's main job was to establish what is true (ie vertical and perpendicular to a surface,) as well as the secondary task of marking these points.
Compasses are mainly used to draw circles, protractors are used to measure angles, and rulers are used to measuring length.
Convert n = (5.6 + j6.6) to polar form (A?B
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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Determine the velocity of point A on the rim of the gear at the instant shown.
The velocity of point A on the rim of the gear at the instant shown is 39.8°.
What is velocity?Velocity is the directional speed of a moving object as an indication of its rate of change in location as perceived from a specific frame of reference and measured by a specific time standard.
Using the relative velocity equation and the kinematic diagram of the gear illustrated in Fig. a, apply the relative velocity equation to points B and C.
Va = Vc + w x r A/C
Va = 4i + (-3.11k) x ( -1.06i + 2.56j)
Va = 3.9665i + 3.2998j
Equating the i and j components yields and its direction:
[tex]tan^{-1} = \dfrac{3.2998}{3.9665} = 39.8^\circ[/tex]
Therefore, the velocity of point A on the rim of the gear at the instant shown is 39.8°
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Which of the following ion is the largest in size?a K+ b Ca2+ c Cl- d S2-
The ionic radius of Ca²⁺ is 100 pm, K⁺ is 138 pm, Cl⁻ is 181 pm, and S²⁻ is 184 pm, therefore option d is the right choice.
The influence of an ion's nucleus on its electron cloud extends outward to a distance called the ionic radius.
When an atom loses or gains an electron, an ion is created. A cation is formed when an atom loses an electron, and an anion is formed when an atom gains an electron. The ionic radius is the furthest point away from the ion's nucleus that its outermost shell can extend.
A cation's atomic size will be lower than that of its parent atom. Compared to its parent atom, an anion is comparatively large. That's because the net effective nuclear charge gets drowned out by the repulsion between electrons caused by an atom gaining electrons.
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Rank the following iron–carbon alloys and associated microstructures from the highest to the lowest tensile strength:
(a) 0.25 wt%C with spheroidite,
(b) 0.25 wt%C with coarse pearlite,
(c) 0.60 wt%C with fine pearlite, and
(d) 0.60 wt%C with coarse pearlite.
Answer:
adcb i believe the answer is
Which of the following is one way to manage the time invested in social media marketing?
a. Leverage tools like Hootsuite that are designed to improve efficiencies.
b. Hire an outside agency.
c. Only spend time on one social media site at a time.
d. Install times on employee computers to monitor time spent on social media.
e. None of these.
To determine whether the marketing campaign will add value to the business, the marketing agency should apply the Present Net Value formula.
A calculation known as the Present Net Value brings all of an investment's future cash flows to the present. The company must identify the revenue totally attributed to the marketing campaign in order to evaluate the campaign marketing strategy as a prospective investment. By doing this, the company will be able to determine the annual inflows (sales) that must be deducted from the outflows (marketing expenses). Every year's net value is discounted at a certain rate, and if the Present Net Value is more than 0, the marketing plan is anticipated to add value to the company. To determine whether the marketing campaign will add value to the business, the marketing agency should apply the Present Net Value formula.
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This new concrete allows water to flow through it quickly because it has many holes in it. What is its porosity and permeability
The permeability of different concrete designs varies. Permeable concrete is a type of concrete that is porous and allows water to pass through it. We recently used this on a project where traffic was driving over an area with drainage issues.
What exactly is porosity, and how does it relate to concrete permeability?
The volume of voids in concrete is measured by porosity. The rate of moisture flow through concrete under a pressure gradient is defined as permeability.
Moisture must be able to move through voids that are interconnected and of a certain size. Moisture flow is slowed by discontinuous pores and pores with narrow entrances. Permeability is low in a mature, well-cured, well-proportioned paste (low w/cm), even if porosity is high. Permeability is increased in porous concrete.
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Compute the atomic density (the number of atoms per cm3 rather than mass density g/cm3) for a perfect crystal of silicon at room temperature, given that the room temperature density and atomic weight of silicon are 2.33 g/cm3 and 28.09 g/mol, respectively.
Hint: you do NOT need any information about the crystal structure of silicon to solve for this quantity, based on the information provided in this particular problem.
Be sure to use values exactly as given and do not round until the final answer.
Use 6.022x1023 , exactly, for Avogadro's Number.
Answer Format: XEX where EX stands for *10x
Units: atoms/cm3
Example: So for an answer of 158123.126 you would type: 2E5 since only a whole number is prescribed for the prefix.
Answer:
5E22 atoms/cm³
Explanation:
We need to find the number of moles of silicon per cm³
number of moles per cm³ = density/atomic weight = 2.33 g/cm ÷ 28.09 g/mol = 0.083 mol/cm³.
Since there are 6.022 × 10²³ atoms/mol, then the number of atoms of silicon per cm³ = number of atoms per mol × number of moles per cm³
= 6.022 × 10²³ atoms/mol × 0.083 mol/cm³
= 0.4995 × 10²³ atoms/cm³
= 4.995 × 10²² atoms/cm³
≅ 5 × 10²² atoms/cm³
= 5E22 atoms/cm³
Tech A says that dust masks should be used when painting. Tech B says that a respirator should be used when the TLV for a chemical is exceeded. Who is correct
According to the question of chemical , both Tech A and Tech B are correct.
What is chemical?
Chemistry is a branch of science that studies the composition, structure, and properties of matter, as well as the changes it undergoes during chemical reactions. It is the study of the composition, structure, and properties of matter, and the changes it undergoes during chemical reactions. It involves the study of the interactions between atoms and molecules, and the energy changes that accompany these interactions. Chemistry is a foundational science, as it is necessary to understand the properties and behavior of matter in order to understand the behavior of the elements, molecules, and compounds that make up the world.
Dust masks should be used when painting, and a respirator should be used when the threshold limit value (TLV) for a chemical is exceeded.
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The thickness of the oil reservoir is 10cm, the production rate of oil is 100m3, the well radius is 10cm, the permeability of the reservoir is 1um2, the porosity is 0.2, the viscosity of the oil is 4mPa.S, the density of oil is 850kg/m3. If the flow regime can be considered as linear flow, can this flow in the reservoir satisfy Darcy's law?
Answer:
The thickness of the oil reservoir is 10cm, the production rate of oil is 100m3, the well radius is 10cm, the permeability of the reservoir is 1um2, the porosity is 0.2, the viscosity of the oil is 4mPa.s, the density of oil is 850kg/m3. If the flow regime can be considered as linear flow, can this flow in the reservoir satisfy Darcy's
A flexible pavement has a structural number of 6. If a 36,000 pound single axle is being loaded onto the pavement, how does it compare to a 18,000 pound single axle
The 36,000 pound single axle load is twice as much as the 18,000 pound single axle load, so it is twice as much stress on the pavement.
What is axie load?
Axie Load is a decentralized application (dApp) that allows users to earn cryptocurrency rewards simply by playing games. The platform focuses on providing fun, engaging and rewarding experiences for both gamers and crypto owners. The games are designed to be easy to learn, but difficult to master, making them suitable for players of all skill levels. Axie Load also integrates with popular blockchain projects such as Ethereum, allowing users to store their rewards in their own wallets. With its unique combination of gaming and crypto rewards, Axie Load is an exciting platform for users looking to explore the world of blockchain gaming.
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A highway construction company operates a quarry. During the last 5 years, the amount extracted each year was 60,000, 50,000, 58,000 60,000, and 65,000 tons. The mine is estimated to contain a total of 2.5 million tons of usable stones and gravel. The quarry land had an initial cost of $3.2 million. The company had a per-ton gross income of $30 for the first year, $25 for the second year, $35 for the next 2 years, and $40 for the last year. The rate for percentage depletion is 5% (10)
(a) Determine the depletion charge each year, using the two depiction methods. Assume all depletion amounts are less than 50% of taxable income.
(b) If the quarry operation is reevaluated after the first 3 years of operation and estimated to contain a total of 1.5 million tons remaining, rework part (a).
Using unit of production method and cost recovery method to calculate the depletion charge per year, the values are attached below.
What is Depletion ChargeDepletion charge is a non-cash expense on an income statement that is used to allocate the cost of a natural resource, such as timber or minerals, over its estimated useful life. It is calculated by taking the total cost of the natural resource and dividing it by the estimated number of units that can be extracted from it. The resulting amount is then charged to the income statement as an expense in the year it is incurred.
(a)
a) Using the Units of Production Method:
Year 1: Depletion Charge = (2.5 million tons x $30) x 5% = $37,500
Year 2: Depletion Charge = (2 million tons x $25) x 5% = $25,000
Year 3: Depletion Charge = (1.5 million tons x $35) x 5% = $26,250
Year 4: Depletion Charge = (1 million tons x $35) x 5% = $17,500
Year 5: Depletion Charge = (0.5 million tons x $40) x 5% = $10,000
Total Depletion Charge = $106,250
b) Using the Cost Recovery Method:
Year 1: Depletion Charge = ($1.5 million x 50%) x (60,000/2.5 million) = $18000
Year 2: Depletion Charge = ($1.5 million x 50%) x (50,000/2.5 million) = $15000
Year 3: Depletion Charge = ($1,5 million x 50%) x (58000/2.5 million) =
$17400
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To observe the structure of Beauvais Cathedral's roof and the form of the flying buttresses that hold its vaults in place, you would consult which type of architectural drawing:
To observe the structure of Beauvais Cathedral's roof and the form of the flying buttresses that hold its vaults in place, you would consult a sectional drawing of architectural drawing.
What is architectural drawing?
Architectural drawing is a visual representation of a proposed or existing building or structure. It is used to communicate ideas and plans for the design of a project. The drawings are typically done by an architect, an architectural technician, or a draftsman. Architectural drawings are typically composed of multiple components, including floor plans, elevations, sections, details, and sometimes 3D renderings. They are used to illustrate how different parts of the building fit together, what materials will be used, and how the project will interact with its environment.
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If dhsjbejsjwnsjsjjfndjwks
Answer:
dhsjbejsjwnsjsjjfndjwks
Thanks for the freeeeee pointssssss!
Explanation:
;p
Technician A says that after an accident you should take measures to avoid it in the future. Technician B says that it is okay to block an exit for a shop if you are actively working. Who is correct
Technician A is the correct answer. He is correct in saying that after an accident, you should take precautions to avoid it happening again in the future.
What to do after an accident?First, look for any injuries. If someone is in pain, take care of them.
After that, move your car to a safer location where you can exchange names, addresses, phone numbers, vehicle identification numbers, vehicle license plate numbers, insurance information, and driver's license information.
Finally, take note of the crash site and obtain the names, addresses, and phone numbers of any witnesses. If the vehicles cannot be moved, set up flares or raise your hood to protect the scene.
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The walls of a refrigerator are typically constructed by sandwiching a layer of insulation between sheet metal panels. Consider a wall made from fiberglass insulation of thermal conductivity ki 0.046 and thickness Li 50 mm and steel panels, each of thermal conductivity kp 60 and thickness Lp 3 mm. If the wall separates refrigerated air at T,i 4 C from ambient air at T,o 25 C, what is the heat transfer rate per unit surface area
Answer:
14.12 w /m^2
Explanation:
Determine the heat transfer rate per unit surface area
First step : determine the thermal resistance of the composite wall considering all present forms of heat transfer
Rth = 1 / h₀ + Lp / Kp + Li / Ki + Lp / Kp + 1 / hi --------- ( 1 )
where : h₀ and hi = 5 W/m^2 , Li = 50 mm , Ki = 0.046 W/m.k, Lp = 3 mm,
Kp = 60 W/m.k
Insert values into equation 1 above
Rth = 1.487 m^2. K/W
Next : determine the heat gain per unit surface area ( heat transfer rate )
Q = ( To - Ti ) / Rth
= 21° C / 1.487
= 14.12 W/m^2
A stainless steel vessel holds 5.4 liters of milk. One-third of the milk is given to a cat. After some water is added to the milk that remains, its volume becomes 1.25 as much as it was before the water was added. If one-third of this diluted milk is given to three kittens, how much milk does the vessel hold now
The vessel now holds 4.05 liters of milk, after one-third of this diluted milk is given to three kittens
A stainless steel vessel holds 5.4 liters of milk. One-third of the milk is given to a cat. After some water is added to the milk that remains, its volume becomes 1.25 as much as it was before the water was added.
Before the water was added, the vessel held 5.4 liters of milk. After one-third (1.8 liters) was given to the cat, there was 3.6 liters of milk remaining in the vessel.
After adding water, the volume of the milk increased by a factor of 1.25, so the vessel now holds 4.5 liters (3.6 x 1.25) of diluted milk. Finally, one-third (1.5 liters) of this diluted milk is given to the three kittens, leaving 4.05 liters of milk in the vessel.
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State Four Reasons for using plant and Equipment Sing
There will be several advantages to equipment standardization. Digital solutions accelerate standardization by giving an overview of the field equipment.
What benefit does using equipment provide?By using the most effective and efficient procedures, they aid in accelerating the rate of output. Reduce construction costs overall, especially for big contracts. A machine or piece of equipment can effortlessly perform tasks that are too difficult or delicate for human muscles to complete.
What purposes do tools and equipment serve?In general, they are used to assemble or disassemble objects (such as hammers and nail guns) (e.g., jackhammers and saws). Hand tools and power tools are two common categories for tools. All non-powered instruments are considered hand tools, such as such as pliers and hammers.
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Which of the following best describes the devices that will help prevent moisture from collecting in raceway systems?
a. Elbows
b. Integral drains
c. Strainers
d. Seal-off fittings
The best device to help prevent moisture from collecting in raceway systems is integral drains.
Integral drains are specifically designed to allow water to drain away from the system without the need for additional components. Elbows and strainers are not effective for this purpose, and seal-off fittings are primarily used for dust and debris protection.
Raceway systems are a type of electrical wiring system used to protect electrical wires and cables. They are typically used in industrial applications and are designed to be durable, reliable, and safe. Raceway systems typically consist of raceways, which are channels made of metal or plastic, and fittings, which provide a secure connection between the raceways and other components, such as switches and outlets.
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What size THHN feeder conductor is required for (two), single phase, 230 VAC, 7.5 HP motors, and (one) single phase, 115 VAC, 1.5 HP short time motor which is rated for 15-minute duty cycle and (one) single phase, 230 VAC, 0.75 HP motor
The size of the THHN feeder conductor required for two 230 VAC, 7.5 HP motors, one 115 VAC, 1.5 HP short time motor and one 230 VAC, 0.75 HP motor is 3 AWG.
To calculate the size of the THHN feeder conductor, we first need to calculate the total load current for all the motors. To do that, we will use the following formula: I = (HP x 745.7) / (V x 1.73).
For the two 7.5 HP motors, the total load current is (7.5 x 745.7) / (230 x 1.73) = 29.7 A. For the 1.5 HP short-time motor, the total load current is (1.5 x 745.7) / (115 x 1.73) = 8.85 A. For the 0.75 HP motor, the total load current is (0.75 x 745.7) / (230 x 1.73) = 4.41 A.
Adding all the load currents yields a total load current of 42.96 A. Then we can refer to the NEC Table 310.15(B)(16) to determine the minimum THHN feeder conductor size. At 42.96 A, the minimum THHN feeder conductor size is 3 AW.
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Look at the following statement. while (++x < 10) Which operator is used first? ++ Neither. The expression is invalid. O both ++ and < operators are used at the same time.
A "While" Loop is used to repeatedly execute a particular block of code until a condition is met.
The responses to the questions are listed below. The operation that determines whether the condition x 10 is true is assessed first because the operator is used first. The reason for this is that we use the post increment operator for x. As a result, x is first used for the operation we are performing before being raised by 1. According to semantics, the variable's value is increased by 1 by both prefix and postfix ++. The result of the operator is the NEW/CURRENT value stored in the variable if the ++ is placed before the variable (a prefix operator); the result of the operator is the value stored in the variable if the ++ is written after the variable (a postfix operator).
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Question 3 Which of the following is least comparable to Eventbrite? 1 point 4. Question 4
Answer:
Uber is least comparable to Eventbrite. Uber is an online ride-hailing service, while Eventbrite is an online ticketing platform for event organizers.
Eventbrite is an online platform primarily designed for event management and ticketing.
What does it enable?It enables event organizers to create, promote, and sell tickets for various events, such as conferences, concerts, and workshops. Attendees can easily discover and register for events through the platform.
In contrast, a charitable foundation is least comparable to Eventbrite. While Eventbrite focuses on event organization and ticket sales, a charitable foundation is a philanthropic entity aimed at supporting causes through grants, donations, and initiatives. The two serve distinct purposes, with Eventbrite facilitating event logistics and attendance, while a charitable foundation channels resources for societal impact.
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the the rectangular components of acceleration for a particle are ax = 3t and ay= (30-10t) where a is in m/ s^2 . if the particles start from rest at the origin. find the radius of curvature of the path at the instant 2 second
For each resource, list 3 examples of how it would be used to produce a hamburger. Think outside of the “hamburger” box!
TECHNOLOGICAL RESOURCE
RESOURCE(S)
PEOPLE
TIME
TOOLS AND MACHINES
MATERIALS
CAPITAL
ENERGY
INFORMATION
Answer:
love
Explanation: you
/////////////////////
Conider the following language \[ l=\left\{a^{n} b^{m}: n \neq m\right\} \] contruct finite automata, grammar
The finite automata will be: States: q0, q1, Input Symbols: a, b, Start State: q0, Accepting State: q1, Transition Function:q0 → q1 on input a, q0 → q1 on input b, q1 → q1 on input a, q1 → q1 on input b, Grammar wil be: S → aSb | bSa | ε
What are finite automata?Finite Automata is a mathematical model of computation used to recognize patterns within a given sequence of inputs. It consists of a set of states, transitions between those states, and a set of input symbols. It is a powerful tool for recognizing patterns and can be applied to a wide range of applications, such as lexical analysis, pattern recognition, and language recognition. Each state within a finite automaton has a unique set of transitions that can be triggered when a certain input symbol is encountered. This allows the machine to move from one state to another, thus recognizing patterns and making decisions based on the input. Finite automata are typically used in computer science and engineering to design and analyze algorithms.
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the rectangular components of acceleration for a particle are ax = 3t and ay= (30-10t) where a is in m/ s^2 . if the particles start from rest at the origin. find the radius of curvature of the path at the instant 2 second.
Vector parts that are rectangular in shape are referred to as such if their axes are perpendicular to one another.
How can I locate rectangular parts?The rectangular components can be calculated algebraically or graphically, with the force represented as a vector. Knowing two of the six geometric characteristics of a triangle is necessary to resolve a vector into its components, Fx = F cos or Fy = F sin (the lengths of the sides and the three angles).
A vector's rectangular components are any two axes that are perpendicular to one another. An illustration of an example that demonstrates this is provided below. Additional Details: We have the magnitude of any two generic vectors' R's final formula is A2+B2+2ABcos.
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A 36-mph wind blows against an outdoor movie screen that is 70 ft wide and 20 ft tall. Estimate the wind force on the screen. Use drag coefficient Cd = 1.15.
Answer:
The wind force on the screen is approximately 5,341.5936 [tex]lb_f[/tex]
Explanation:
The speed of the wind, v = 36 mph
The width of the outdoor movie, w = 70 ft. wide
The height of the outdoor movie, h = 20 ft. tall
The drag coefficient, Cd = 1.15
We have;
[tex]C_d = \dfrac{F}{\dfrac{\rho \cdot v^2 \cdot A}{2} }[/tex]
From which we have;
The wind force, F = 0.00256·[tex]C_d[/tex]·v²·A
Where;
A = The cross sectional area of the rectangular outdoor movie screen, A = w × h
∴ A = 70 ft. × 20 ft. = 1,400 ft.²
The wind force, F = 0.00256 × 1.15 × (36 mph)² × 1,400 ft.² = 5,341.5936 [tex]lb_f[/tex]
The wind force on the screen, F = 5,341.5936 [tex]lb_f[/tex].
The wind force on the outdoor movie screen is;
F = 23437.26 N
We are given;
Wind speed; v = 36 mph = 16.0934 m/s
Width of screen; w = 70 ft = 21.336 m
Height of screen; h = 20 ft = 6.096 m
Drag coefficient; Cd = 1.15
Now formula for the drag force is;
F = ½•C_d•ρ•A•v²
Where;
F is drag force
C_d is drag coefficient
ρ is density of object
v is speed of object
A is area
Let us use density as 1.21 kg/m³
Area; A = wh = (21.336 × 6.096)
Thus;
F = ½ × 1.15 × 1.21 × (21.336 × 6.096) × 16.0934²
F = 23437.26 N
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A resonant six-turn loop of closely spaced turns is operating at 50 MHz. The radius of the loop is λ/30. The radius of the wire is λ/300, its conductivity is σ = 5.7 × 107 S/m. Determine the:
a. the directivity of the antenna (in dB)
b. the radiation efficiency
c. the gain of the antenna (in dB)
a) the directivity of the antenna is evaluated to be = 1.761db
b) radiation efficiency is evaluated to be = 98.67%
c) reflection efficiency gain is evaluated to be = 68%
What is resonant?Resonance is the relatively large selective response of an object or a system to an external oscillatory force that causes it to vibrate in step or phase. First, acoustical systems like musical instruments and the human voice were studied for resonance.
The total range of resonance frequencies was discovered to be independent of mass, height, and mass-to-height ratio, ranging from 9 to 16 Hz.
Therefore, the correct options are: a) 1.761 db., b) 98.67%., c) 68%.
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A set of steel reinforcing rods is to be stretched axially in tension to create a tensile stress of 30 ksi prior to being cast in concrete to form a beam. Determine how much force will be required to stretch them the required amount and how much deflection is required. There are 10 rods; each is 0. 75-in diameter and 30 ft long
According to the question of tensile stress, 5.66 kips is required to stretch them the required amount and 0.0015 in deflection is require.
What is tensile stress?
Tensile stress is a physical force exerted on a material in opposing directions along its length. It is a measure of the amount of force necessary to pull a material apart, or to cause a fracture. Tensile stress occurs when a material is placed under load and the load is applied in a way that causes the material to elongate. When a material is subjected to tensile stress, the molecules of the material become stretched and the material's shape is changed.
The required force is calculated by multiplying the area of the rod by the desired stress:
F = A * σ = π/4 * (0.75 in)^2 * 30 ksi = 5.66 kips
The required deflection is determined by multiplying the required force by the length of the rod and then dividing by the modulus of elasticity (E) and the area of the rod:
δ = FL/EA = 5.66 kips * 30 ft / (30,000 ksi * π/4 * (0.75 in)2) = 0.0015 in
Therefore, the required force is 5.66 kips and the required deflection is 0.0015 in.
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An airplane is flying at a standard altitude of 5 km. A pitot tube mounted at the nose measures a stagnation pressure of 0. 957 bar. Assume the airplane is flying at high subsonic speed and flow is compressible.
Required:
Calculate the velocity of airplane
The velocity of airplane will be 317.4 m/s.
The velocity of an airplane flying at a standard altitude of 5 km can be calculated using the stagnation pressure of the pitot tube mounted at the nose.
The stagnation pressure of the pitot tube was measured at 0.957 bar. Assuming the airplane is flying at high subsonic speed and flow is compressible, the velocity of the airplane can be calculated using the equation:
Velocity (v) = sqrt[2*(pstag-pamb)/ρ]
Where pstag is the stagnation pressure (0.957 bar), pamb is the ambient pressure (0.1013 bar at 5 km altitude), and ρ is the air density (1.225 kg/m3).
Plugging in the given values, the velocity of the airplane is 317.4 m/s.
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A 6-cm-diameter horizontal water jet having a velocity of 25 m/s strikes a vertical stationary
flat plate. The water splatters in all directions in the plane of the plate. ANALYZE the linear
momentum equation for a fixed control volume to find; the amount of force required to hold
the plate against the water stream? Take the density of water to be 1000 kg/m3