Consider the circuit shown below. a. Determine the differential equation relating outputs \( y_{2}(t) \) to the input \( x(t) \).

Answers

Answer 1

The circuit shown below has been given as:  In the above circuit, let's find out the output equation between y2(t) and input x(t) through differential equations.

We can see from the circuit that:$$y_2(t) = R_2 \cdot i_2(t)$$Where:$$i_2(t) = i_1(t) - C \cdot \frac{dy_2(t)}{dt}$$Now, using KVL (Kirchoff's Voltage Law) in the left loop:$$-x(t) + R_1 \cdot i_1(t) + L \cdot \frac{di_1(t)}{dt} + R_2 \cdot (i_1(t) - C \cdot \frac{dy_2(t)}{dt}) = 0$$We know that $$i_1(t) = C \cdot \frac{d y_2(t)}{d t} + i_2(t)$$Using this in the above equation:$$-x(t) + R_1 \cdot \left(C \cdot \frac{dy_2(t)}{dt} + i_2(t)\right) + L \cdot \frac{d}{dt}\left[C \cdot \frac{d y_2(t)}{d t} + i_2(t)\right] + R_2 \cdot i_2(t) - R_2 \cdot C \cdot \frac{dy_2(t)}{dt} = 0$$Now, let's differentiate the equation w.r.t to 't':$$\frac{d}{dt}\left[-x(t) + R_1 \cdot \left(C \cdot \frac{dy_2(t)}{dt} + i_2(t)\right) + L \cdot \frac{d}{dt}\left[C \cdot \frac{d y_2(t)}{d t} + i_2(t)\right] + R_2 \cdot i_2(t) - R_2 \cdot C \cdot \frac{dy_2(t)}{dt}\right] = 0$$On simplification,

we get:$$\boxed{LC\frac{d^3 y_2(t)}{dt^3} + \left(R_1 C + R_2 C + L\frac{d R_2}{dt}\right)\frac{d^2 y_2(t)}{dt^2} + \left(R_1 + R_2 + \frac{d L}{dt}\right)C\frac{dy_2(t)}{dt} + \left(1+\frac{R_1 L}{R_2}\right)y_2(t) = x(t)\left(\frac{R_1}{R_2}\right)}$$Thus, the differential equation relating outputs y2(t) to the input x(t) is given by:$$LC\frac{d^3 y_2(t)}{dt^3} + \left(R_1 C + R_2 C + L\frac{d R_2}{dt}\right)\frac{d^2 y_2(t)}{dt^2} + \left(R_1 + R_2 + \frac{d L}{dt}\right)C\frac{dy_2(t)}{dt} + \left(1+\frac{R_1 L}{R_2}\right)y_2(t) = x(t)\left(\frac{R_1}{R_2}\right)$$The solution is shown above.

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Related Questions

A printers display shows no reading the problem might be

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Put your printer through a hard reset. Try turning off both the printer and your computer, then restarting both if that doesn't fix the problem. Then try to remove and reinstall your printer's driver.

What causes printing errors?

A problem with the printer itself may exist if the status of your printer reads "Printer in error state." Check to see if the printer is on and wired or wirelessly linked to your computer. Make sure the cover is closed and the paper isn't jammed, and check if there isn't enough paper or ink.

Of all printer errors, paper jams are arguably the most dreadful. There are a few problems that might be present when it comes to smudges, faded lettering, and poor image quality.

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Raven is adding FSMO roles to domain controllers in the domain1.com forest. The forest contains a single domain and three domain controllers, DC1, DC2, and DC3. DC1 contains a copy of the global catalog, and all three domain controllers have the latest version of Windows Server 2019 installed. Which of the following is a best practice that Raven should follow? She should use DC2 or DC3 as the Domain Naming Master. B She should create the Domain Naming Master role on DC1. She should create three Domain Naming Master roles, one for each domain controller. She does not need to create the Domain Master role because DC1 contains a copy of the global catalog.

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The best practice that Raven should follow is to use DC2 or DC3 as the Domain Naming Master of the following is a best practice that Raven should follow. The correct option is A.

The management of the addition or deletion of domains from the forest is the responsibility of the Domain Naming Master. For redundancy and fault tolerance, it is advised to split the FSMO roles among several domain controllers.

Since DC1 already has a copy of the global catalog, it is advantageous to choose a different domain controller (DC2 or DC3) as the Domain Naming Master to disperse the workload and guarantee high availability. This ensures that the forest's operations may continue even if one domain controller goes offline and prevents the creation of a single point of failure.

Thus, the ideal selection is option A.

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A robot with artificial intelligence would best be suited for

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it would most likely be suited for helping people with hard work or things they cannot accomplish

The orbital motion of water particles due to surface waves stops at a depth_
Select one:
O a. twice the wavelength
O b. equal to wavelength
O c. one-half the wavelength
O d. one-tenth the wavelength

Answers

The orbital motion of water particles due to surface waves stops at a depth of "one-half the wavelength" (Option C).

What is the orbital motion of water particles?

Deep water waves (depth, D >λ /2) and shallow water waves (D < λ /20) both exhibit particle orbital motion. However, while deep water waves have a circular orbit, shallow water waves have an elliptical orbit with the primary axis in the horizontal plane [2, 3, 4, 5].

Instead, the water particles travel in circular orbits with a radius equal to wave height. This orbital motion arises because water waves include both longitudinally (side to side) and transverse (up and down) components, resulting in a circular motion.

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3.Water flows in a rectangular open channel with a width of 4 m. The depth of the flow is 2 m with a discharge of 20 m^3/sec. Determine the change in depth if the channel width is increased by 1 m? (negletting losses) and find the value of Fr from both conditions and identify the type of flow.

Answers

Type of flow in the original channel: Subcritical flow.Type of flow in the new channel: Subcritical flow.Change in depth of the flow: -0.4 m.

From the question above, :Width of the channel = 4 m

Depth of the flow = 2 m

Discharge = 20 m³/sec

Change in channel width = 1 mAs the discharge is constant, we have the equation of continuity as;

Q = A₁V₁ = A₂V₂

Where,Q = Discharge in m³/s

V₁ = Velocity of fluid in the original channel

A₁ = Area of the flow in the original channel

V₂ = Velocity of fluid in the new channel

A₂ = Area of the flow in the new channel

As the channel is rectangular in shape, we can write the equation as;

Q = W₁ * D₁ * V₁ = W₂ * D₂ * V₂

Where, D₁ = D₂ = D (Depth of flow)

W₁ = 4 m

W₂ = 4 + 1 = 5 m

V₁ = Velocity of fluid in the original channel

V₂ = Velocity of fluid in the new channel∴

4 * 2 * V₁ = 5 * D₂ * V₂∴ 8V₁ = 5D₂V₂∴ V₂ = 8/5 * V₁

The velocity of fluid in the new channel = 1.6V₁

Type of flow in the original channel can be determined using the Froude number as;

Fr = V₁/ √gD

Where g is the acceleration due to gravity

Fr₁ = V₁/ √gD = V₁/ √(9.81 * 2) = V₁/ 4.429

Fr₂ = V₂/ √ gD = (1.6V₁)/ √(9.81 * 2) = 1.6V₁/ 4.429

Fr₁ = V₁/ √gD = V₁/ 4.429

Fr₂ = 1.6V₁/ 4.429

Fr₁ < 1 → Subcritical flow

Fr₂ < 1 → Subcritical flow

As the value of Fr is less than 1, the type of flow is Subcritical flow

.Change in depth of the flow;

D₂ - D₁ = (W₁/W₂ - 1) * D₁D₂ - 2 = (4/5 - 1) * 2

D₂ - 2 = -0.4∴ D₂ = 1.6 m

Change in depth of the flow = D₂ - D₁ = 1.6 - 2 = -0.4 mA

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Given is the binary search and answer the following 70 a. Find the height of the tree with root 70. (1 points) b. Find the height of the tree with root 70. (1 points) C. List the path from the node with info 92 to the node with info 78. (1 points) d. A node with info 30 is to be inserted in the tree. List the nodes that are visited by the function insert to insert 30. Redraw the tree after inserting 30. What is the height of the tree after inserting 30? (2 points) e. Delete node 45 and redraw the binary tree. What is the height of the tree after deleting 45? (2 points) f. Delete nodes 63 and 82 in that order. Redraw the binary tree after each deletion. What is the height of the tree after deleting 63 and 82? (2 points) g. Delete node 70 and redraw the binary tree. What is the height of the tree after deleting 70? (2 points) 2. Insert 28, 25, 26, 42, 47, 30, 45, 29, 5 into an initially empty binary search tree. Draw the final binary search tree.

Answers

a. The height of a tree is the maximum number of edges in any path from the root to a leaf node. To find the height of the tree with root 70, we need to traverse the tree and determine the longest path from the root to a leaf. The height of the tree is the length of that path.

b. To find the height of the tree with root 70, we need to traverse the tree and determine the longest path from the root to a leaf. The height of the tree is the length of that path.

c. To list the path from the node with info 92 to the node with info 78, we start from the root and traverse the tree following the appropriate branches at each node until we reach the target node. We record the nodes visited during this traversal to obtain the path from node 92 to node 78.

d. To insert a node with info 30 in the binary search tree, we start at the root and compare the values until we find the appropriate position for insertion. The nodes visited during this process are the nodes that are traversed to insert the node with info 30. After inserting 30, we redraw the tree and determine its height.

e. To delete node 45 from the binary search tree, we need to find the node and rearrange the tree accordingly. After deleting 45, we redraw the tree and determine its height.

f. To delete nodes 63 and 82 from the binary search tree, we need to find the nodes and rearrange the tree accordingly. We perform the deletions in the specified order, redrawing the tree after each deletion. After deleting both nodes, we determine the height of the resulting tree.

g. To delete node 70 from the binary search tree, we need to find the node and rearrange the tree accordingly. After deleting 70, we redraw the tree and determine its height.

In conclusion, by following the instructions given and performing the required operations on the binary search tree, we can find the heights of the tree in different scenarios and draw the resulting trees.

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Equipment consisting of busbars mounted inside an enclosure that provides a means of tapping the service-entrance conductors is called a

Answers

Answer:

busway

Explanation:

A hollow cast iron 5m long column with both ends fixed is required for support a load of 1000KN if the external diameter of the column is 250mm find its thickness take working stress as 80mpa and rankings constant as 1/1600

Answers

The required thickness of the cast iron column is approximately 16.8mm. we can use the formula for the buckling stress of a column:σ_critical = π^2 * E / (KL/r)^2

What is buckling Stress?

The abrupt change in shape (deformation) of a structural component under load, such as the bowing of a column under compression or the wrinkling of a plate under shear, is referred to as buckling in structural engineering.

To find the required thickness of the cast iron column, we can use the formula for the buckling stress of a column:

σ_critical = π^2 * E / (KL/r)^2

where σ_critical is the critical buckling stress, E is the modulus of elasticity of cast iron, K is the Rankine's constant (1/1600 for a fixed-fixed column), L = length of the column, and r = radius of the column.

The external diameter of the column is 250mm, so the radius is r = 250/2 = 125mm.

The modulus of elasticity for cast iron is around 200,000 N/mm^2.

We can then calculate the critical buckling stress:

σ_critical = π^2 * 200,000 / (1/1600 * 5000/125)^2

σ_critical = 80 N/mm^2

Since the working stress of the column is 80 N/mm^2, which is equal to the critical buckling stress, we can calculate the required thickness t using the formula for stress in a column:

σ = P / (π * r^2 / 4)

where P is the load on the column, and π * r^2 / 4 is the cross-sectional area of the column.

Given that the load on the column is 1000 KN, we can calculate the required thickness:

t = P * 4 / (π * r^2 * σ)

t = (1000 * 1000) * 4 / (π * 125^2 * 80)

t = 16.8 mm

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Rashida purchases a house for $310,000 and takes a mortgage for the full amolunt. Her mortgage charges 5% per year and interest is
compounded monthly. She will repay the loan over 20 years with equal monthly payments. How much of the 1st payment would be
applied toward interest and how much of the 1st payment would be principal?

Answers

She will have to pay 5k for her first payment

The critical crack length for a through crack in a thick plate of 7150-T651 aluminum alloy that is in uniaxial tension. For this alloy Kic = 25.5 MPa SqRt.(m) and sigma f = 400 MPa. Assume Y = SqRt. (pi)

Answers

The critical crack length for a through crack in a thick plate of 7150-T651 aluminum alloy under uniaxial tension can be determined using fracture mechanics principles. For this particular alloy, the fracture toughness (Kic) is given as 25.5 MPa√m, and the ultimate tensile strength (σf) is 400 MPa.

By assuming a yield strength (Y) equal to the square root of pi, the critical crack length can be calculated.

Fracture mechanics is a field of study that deals with the behavior of materials when subjected to cracks or flaws. The critical crack length represents the maximum allowable size of a crack within a material before it fails catastrophically. In this case, we are considering a through crack in a thick plate of 7150-T651 aluminum alloy that is subjected to uniaxial tension.

To determine the critical crack length, we need to use the fracture toughness value (Kic) and the ultimate tensile strength (σf) of the material. The fracture toughness measures a material's resistance to crack propagation, and it is given as 25.5 MPa√m for this particular aluminum alloy. The ultimate tensile strength represents the maximum stress the material can withstand before failure, and it is specified as 400 MPa.

In fracture mechanics, the critical crack length can be calculated using the equation:

a = (Kic / (Y * σf))²

Here, Y represents the yield strength of the material. In this case, Y is assumed to be equal to the square root of pi (√π). By substituting the given values into the equation, we can determine the critical crack length for the 7150-T651 aluminum alloy under uniaxial tension.

The calculation of the critical crack length will provide a value in terms of the crack size (a). This value represents the maximum allowable crack length before failure occurs. It is crucial to consider the critical crack length in engineering applications to ensure the structural integrity and safety of components made from the aluminum alloy.

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A series RL low pass filter with a cut-off frequency of 4 kHz is needed. Using R-10 kOhm, Compute (a) L. (b)) at 25 kHz and (c) 870) at 25 kHz Oa 0 20 H, 0 158 and 2-30.50 Ob 525 H, 0.158 and 2-30 5 O 025 H, 0.158 and 2-80 5 Od 225 H, 1.158 and -80 5

Answers

Answer:

(a) L ≈ 0.397 H

(b) Z ≈ 52.5 kOhm

(c) θ ≈ 0.025 radians

Step-by-step explanation:

To calculate the values for an RL low pass filter with a cut-off frequency of 4 kHz and using an R-value of 10 kOhm, we can use the following formulas:

(a) L = R / (2 * π * f_c)

(b) Z = √(R^2 + (2 * π * f)^2)

(c) θ = atan((2 * π * f) / R)

Given:

R = 10 kOhm

f = 25 kHz

f_c = 4 kHz

(a) L = R / (2 * π * f_c)

L = 10 kOhm / (2 * π * 4 kHz)

L ≈ 0.397 H

(b) Z = √(R^2 + (2 * π * f)^2)

Z = √((10 kOhm)^2 + (2 * π * 25 kHz)^2)

Z ≈ 52.5 kOhm

(c) θ = atan((2 * π * f) / R)

θ = atan((2 * π * 25 kHz) / 10 kOhm)

θ ≈ 0.025 radians

Therefore, the calculated values are:

(a) L ≈ 0.397 H

(b) Z ≈ 52.5 kOhm

(c) θ ≈ 0.025 radians

Assignment 1: Structural Design of Rectangular Reinforced Concrete Beams for Bending
Perform structural design of a rectangular reinforced concrete beam for bending. The beam is simply supported and has a span L=20 feet. In addition to its own weight the beam should support a superimposed dead load of 0.50 k/ft and a live load of 0.65 k/ft. Use a beam width of 12 inches. The depth of the beam should satisfy the ACI stipulations for minimum depth and be proportioned for economy. Concrete compressive strength f’c = 4,000 psi and yield stress of reinforcing bars fy = 60,000 psi. Size of stirrups should be chosen based on the size of the reinforcing bars. The beam is neither exposed to weather nor in contact with the ground, meaning it is subjected to interior exposure.
• Use the reference on "Practical Considerations for Rectangular Reinforced Concrete Beams"
• Include references to ACI code – see slides from second class
• Include references to Tables from Appendix A
• Draw a sketch of the reinforced concrete beam showing all dimensions, number and size of rebars, including stirrups.

Answers

Answer:

Beam of 25" depth and 12" width is sufficient.

I've attached a detailed section of the beam.

Explanation:

We are given;

Beam Span; L = 20 ft

Dead load; DL = 0.50 k/ft

Live load; LL = 0.65 k/ft.

Beam width; b = 12 inches

From ACI code, ultimate load is given as;

W_u = 1.2DL + 1.6LL

Thus;

W_u = 1.2(0.5) + 1.6(0.65)

W_u = 1.64 k/ft

Now, ultimate moment is given by the formula;

M_u = (W_u × L²)/8

M_u = (1.64 × 20²)/8

M_u = 82 k-ft

Since span is 20 ft, it's a bit larger than the average span beams, thus, let's try a depth of d = 25 inches.

Effective depth of a beam is given by the formula;

d_eff = d - clear cover - stirrup diameter - ½Main bar diameter

Now, let's adopt the following;

Clear cover = 1.5"

Stirrup diameter = 0.5"

Main bar diameter = 1"

Thus;

d_eff = 25" - 1.5" - 0.5" - ½(1")

d_eff = 22.5"

Now, let's find steel ratio(ρ) ;

ρ = Total A_s/(b × d_eff)

Now, A_s = ½ × area of main diameter bar

Thus, A_s = ½ × π × 1² = 0.785 in²

Let's use Nominal number of 3 bars as our main diameter bars.

Thus, total A_s = 3 × 0.785

Total A_s = 2.355 in²

Hence;

ρ = 2.355/(22.5 × 12)

ρ = 0.008722

Design moment Capacity is given;

M_n = Φ * ρ * Fy * b * d²[1 – (0.59ρfy/fc’)]/12

Φ is 0.9

f’c = 4,000 psi = 4 kpsi

fy = 60,000 psi = 60 kpsi

M_n = 0.9 × 0.008722 × 60 × 12 × 22.5²[1 - (0.59 × 0.008722 × 60/4)]/12

M_n = 220.03 k-ft

Thus: M_n > M_u

Thus, the beam of 25" depth and 12" width is sufficient.

Assignment 1: Structural Design of Rectangular Reinforced Concrete Beams for Bending Perform structural

Which of the following workers are not likely to be paid during an election?
campaign press secretary
volunteer coordinator
poll worker
director of communications

Answers

Answer:

volunteer coordinator

Explanation:

because they are volunteering for that and in most of the cases they do not expect to be paid

What is the 2s complement of the BINARY number 111110100.101 ?
a. 000001011.011
b. 110011011.111
c. 001001101.001
d. 000100010.010
e. None of the choices

Answers

Answer:

999999999999999999999

Liquid A decomposes by first-order kinetics, and in a batch reactor 50%

of A is converted in a 5-minute run. How much longer would it take to

reach 75% conversion?

Answers

The decomposition of Liquid A follows a first-order kinetics. It means that the rate of reaction is proportional to the concentration of A present at any given time.

The rate constant for the reaction is k. The formula for the rate of a first-order reaction is given as follows:r = k[A]where, r is the rate of reaction, and [A] is the concentration of A at any given time.The time taken for the conversion of 50% of A is given as 5 minutes. The concentration of A remaining is 50% of the initial concentration. The rate of reaction at this point is:r = k[0.5 A0]where, A0 is the initial concentration of A.

Since the reaction follows a first-order kinetics, the rate constant k will remain constant throughout the reaction.To calculate the time taken for the conversion of 75% of A, we can use the following equation:ln ([A]t/[A]0) = -ktwhere, [A]t is the concentration of A remaining after time t, and [A]0 is the initial concentration of A. We know that [A]t = 0.25[A]0.Substituting these values, we get:ln (0.25) = -k(t2 - t1)where, t1 = 5 minutes (time taken for 50% conversion), and t2 is the time taken for 75% conversion.Solving for t2, we get:t2 = t1 + (1/k) ln(0.25)Substituting the value of k from the rate equation, we get:t2 = 5 + (1/k) ln(0.25 [A]0)Therefore, we need to know the value of the rate constant k to calculate the time taken for 75% conversion.

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Consider the following Moore’s law growth pattern (since 1980) for the number of transistors inside a particular commercial microprocessor: N = 1920 x 10 0.1637(Y – 1980) where Y is the year and N is the number of transistors. Assuming sustained Moore’s law growth, what will be the number of transistors in a microprocessor in year 2025? Using the same expression, calculate how many years it will take for the transistor count to increase by 100x

Answers

Answer:

No. of transistors = \($4.1524 \times 10^{10}$\) transistors

Explanation:

Given that:

N = \($1920 \times 10^{0.163(Y-1980)}$\)

Y = 2025

N = \($1920 \times 10^{0.163(2025-1980)}$\)

N = \($4.1524 \times 10^{10}$\) transistors

Now at Y = 1980

Number of transistors N = 1920

Therefore,

\($1000 = 10^{0.163(Y-1980)}$\)

\($\log_{10} 1000=0.163(Y-1980)$\)

\($\frac{3}{0.163}=Y-1980$\)

18 ≅ 18.4 = Y - 1980

Y = 1980 + 18

   = 1998

So, to increase multiples of 1000 transistors. it takes 18 years.

can someone tell me what is the most happy song and the most sad: alguien me puede decir cual es la cancion mas feliz y la triste.

Answers

It is subjective to determine the "most happy" and "most sad" song as it varies from person to person. Different songs can evoke different emotions in different people.

However, some songs that are commonly considered to be happy include "Happy" by Pharrell Williams, "Don't Stop Believin'" by Journey, and "I Will Always Love You" by Whitney Houston. Some songs that are commonly considered to be sad include "Everybody Hurts" by R.E.M., "Tears in Heaven" by Eric Clapton, and "My Heart Will Go On" by Celine Dion.

What makes a song happy?

The emotions that a song evokes in a listener are subjective, meaning that they can vary from person to person. For example, a song that one person finds to be happy and uplifting, another person may find to be sad or melancholy. This is because emotions are personal experiences that are shaped by a person's individual life experiences, beliefs, and attitudes.

Therefore, Regarding the songs mentioned, "Happy" by Pharrell Williams, "Don't Stop Believin'" by Journey, and "I Will Always Love You" by Whitney Houston are considered happy songs because they have upbeat tempos, positive lyrics, and a cheerful sound that can make people feel good.

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Water flows steadily through the pipe as shown below, such that the pressure at section (1) and at section (2) are 300 kPa and 100 kPa respectively. Determine the diameter of the pipe at section (2), D, if the velocity at section (1) is 20 m/sec and viscous effects are negligible.

Answers

Answer:

The velocity at section is approximately 42.2 m/s

Explanation:

For the water flowing through the pipe, we have;

The pressure at section (1), P₁ = 300 kPa

The pressure at section (2), P₂ = 100 kPa

The diameter at section (1), D₁ = 0.1 m

The height of section (1) above section (2), D₂ = 50 m

The velocity at section (1), v₁ = 20 m/s

Let 'v₂' represent the velocity at section (2)

According to Bernoulli's equation, we have;

\(z_1 + \dfrac{P_1}{\rho \cdot g} + \dfrac{v^2_1}{2 \cdot g} = z_2 + \dfrac{P_2}{\rho \cdot g} + \dfrac{v^2_2}{2 \cdot g}\)

Where;

ρ = The density of water = 997 kg/m³

g = The acceleration due to gravity = 9.8 m/s²

z₁ = 50 m

z₂ = The reference = 0 m

By plugging in the values, we have;

\(50 \, m + \dfrac{300 \ kPa}{997 \, kg/m^3 \times 9.8 \, m/s^2} + \dfrac{(20 \, m/s)^2}{2 \times 9.8 \, m/s^2} = \dfrac{100 \ kPa}{997 \, kg/m^3 \times 9.8 \, m/s^2} + \dfrac{v_2^2}{2 \times 9.8 \, m/s^2}\)50 m + 30.704358 m + 20.4081633 m = 10.234786 m + \(\dfrac{v_2^2}{2 \times 9.8 \, m/s^2}\)

50 m + 30.704358 m + 20.4081633 m - 10.234786 m = \(\dfrac{v_2^2}{2 \times 9.8 \, m/s^2}\)

90.8777353 m = \(\dfrac{v_2^2}{2 \times 9.8 \, m/s^2}\)

v₂² = 2 × 9.8 m/s² × 90.8777353 m

v₂² = 1,781.20361 m²/s²

v₂ = √(1,781.20361 m²/s²) ≈ 42.204308 m/s

The velocity at section (2), v₂ ≈ 42.2 m/s

One pound of air in a cylinder-piston arrangement undergoes an adiabatic expansion from 200 psia to 50 psia. The initial volume is 4 ft3/lbm. The process is such that PV1.4 is constant. Find the work done and the change in internal energy and temperature of the gas.

Answers

When air undergoes adiabatic expansion, the process is governed by the equation PV^γ = constant, where γ is the ratio of specific heats. In this case, the value of γ for air is 1.4. We are given that one pound of air undergoes an adiabatic expansion from 200 psia to 50 psia, with an initial volume of 4 ft3/lbm and PV^1.4 = constant.

Let's calculate the final volume of the air using the initial and final pressures and the initial volume. Using the formula P1V1^γ = P2V2^γ and substituting the given values, we have: 200(4)^1.4 = 50(V2)^1.4V2 = (200(4)^1.4 / 50)^(1/1.4)V2 = 11.14 ft^3/lbmThe work done by the air is given by the equation W = ∆E + Q, where ∆E is the change in internal energy and Q is the heat added to or removed from the system. Since the process is adiabatic (Q = 0), the work done is equal to the change in internal energy. Let's calculate the work done:W = ∆E = C_v (T2 - T1)where C_v is the specific heat at constant volume, and T1 and T2 are the initial and final temperatures, respectively. The specific heat at constant volume for air is 0.1715 Btu/lbm·R. Let's calculate the final temperature of the air using the initial and final pressures and volumes and the equation P1V1^γ/T1 = P2V2^γ/T2.200(4)^1.4/T1 = 50(11.14)^1.4/T2T2 = T1 * (P2V2^γ / P1V1^γ)T2 = 1183.3 RLet's substitute the values into the equation for work done to get:W = C_v (T2 - T1)W = 0.1715 Btu/lbm·R (1183.3 R - 527.7 R)W = 0.1715 Btu/lbm·R (655.6 R)W = 112.3 Btu/lbmThe change in internal energy is also 112.3 Btu/lbm, since Q = 0. The change in temperature is T2 - T1 = 1183.3 R - 527.7 R = 655.6 R.Answer: The work done by the air is 112.3 Btu/lbm, and the change in internal energy and temperature of the gas are also 112.3 Btu/lbm and 655.6 R, respectively.

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1. Convenience receptacles that are installed in bedrooms in a house are required to be protected by
a(n)
a. arc-fault circuit interrupter
e. ground-fault circuit interrupter
b. surge suppressor
surface-mounted incandescent luminai (light fir

Answers

Convenience receptacles that are installed in bedrooms in a house are required to be protected by a arc-fault circuit interrupter. (Option A)

What is the explanation for the above response?


Arc-fault circuit interrupters (AFCIs) are designed to detect dangerous electrical arcs in wiring and shut off power before they can cause a fire. AFCIs are required by the National Electrical Code (NEC) to be installed in certain areas of the home, including bedrooms, to provide increased electrical safety.


Ground-fault circuit interrupters (GFCIs) are also required in areas where water and electricity may come into contact, such as bathrooms, kitchens, and outdoor outlets, to protect against electric shock. Surge suppressors and surface-mounted incandescent luminaires are not required for bedroom receptacles.

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What happens to the generated voltage, if a more powerful magnet is used?

1) The generated voltage gets higher
2) the generated voltage gets lower
3) the amount of voltage generated stay the same

Answers

1)The generated voltage gets higher

Which statement about the seal between the respirator and the wearer's face is true?
POSSIBLE ANSWERS:
Negative pressure respirators prevent ambient air from entering the mask.
Cosmetic surgery can be completed without a re-evaluation of respirator fit.
Positive pressure respirators tighten the face mask when the wearer inhales.
Facial hair can prevent a respirator from properly sealing to the wearer’s face.

Answers

A true statement about the seal between the respirator and the wearer's face is: D. facial hair can prevent a respirator from properly sealing to the wearer’s face.

What is a respirator?

A respirator can be defined as a personal protective equipment that is typically worn over the face to protect the mouth and nose, while protecting the wearer from inhaling smoke, dust, or other toxic chemical substances.

In this context, a true statement about the seal between the respirator and the wearer's face is that facial hair has the ability to prevent a respirator from properly sealing to the wearer’s face.

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2. Who is responsible for the safe operation of the aerial lift and anyone on the platform?
a) The supervisor.
b) The operator.
The owner.
d) The service technician.

Answers

Answer:

D. the service technician

Explanation:

hope it's help

Answer:

c) the owner

Explanation:

this is because when there is no owner there is no manager

Please list 2 advantageous of cloud computing. Please keep your responses succinct and cogent.

Answers

1. Scalability: Cloud computing offers the advantage of scalability, allowing businesses to easily scale their computing resources up or down based on their needs.

With cloud services, businesses can quickly adapt to changing demands, whether it's handling high traffic during peak periods or scaling down during periods of low activity. This flexibility eliminates the need for businesses to invest in expensive hardware or infrastructure that may remain underutilized.

2. Cost Efficiency: Cloud computing offers cost efficiency by reducing the need for upfront investments in hardware, software, and IT infrastructure. Instead of purchasing and maintaining physical servers, businesses can leverage cloud services and pay for the resources they consume on a subscription or pay-per-use basis.

This pay-as-you-go model allows businesses to optimize their costs, as they only pay for the resources they need when they need them. Additionally, cloud services often provide automatic updates, maintenance, and support, reducing the burden on internal IT teams function and further lowering costs.

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It is okay to download information without asking a lab instructor as long as it is for your online class. truefalse

Answers

Answer:

False

Explanation:

It is not okay to download information without asking a lab instructor, even if it is for an online class. Academic integrity policies and copyright laws still apply to online courses and students are expected to follow ethical and legal guidelines when accessing and using information. If you are unsure about whether it is appropriate to download certain information or materials, it is always best to check with your instructor.

). A 50 mm diameter cylinder is subjected to an axial compressive load of 80 kN. The cylinder is partially

enclosed by a well-fitted casing covering almost the whole length, which reduces the lateral expansion by half.

Determine the ratio between the axial strain when the casing is fitted and that when it is free to expand in diameter.

Take v = 0.3.​

Answers

Answer:

\(\frac{e'_z}{e_z} = 0.87142\)

Explanation:

Given:-

- The diameter of the cylinder, d = 50 mm.

- The compressive load, F = 80 KN.

Solution:-

- We will form a 3-dimensional coordinate system. The z-direction is along the axial load, and x-y plane is categorized by lateral direction.

- Next we will write down principal strains ( εx, εy, εz ) in all three directions in terms of corresponding stresses ( σx, σy, σz ). The stress-strain relationships will be used for anisotropic material with poisson ratio ( ν ).

                          εx = - [ σx - ν( σy + σz ) ] / E

                          εy = - [ σy - ν( σx + σz ) ] / E

                          εz = - [ σz - ν( σy + σx ) ] / E

- First we will investigate the "no-restraint" case. That is cylinder to expand in lateral direction as usual and contract in compressive load direction. The stresses in the x-y plane are zero because there is " no-restraint" and the lateral expansion occurs only due to compressive load in axial direction. So σy= σx = 0, the 3-D stress - strain relationships can be simplified to:

                          εx =  [ ν*σz ] / E

                          εy = [ ν*σz ] / E

                          εz = - [ σz ] / E   .... Eq 1

- The "restraint" case is a bit tricky in the sense, that first: There is a restriction in the lateral expansion. Second: The restriction is partial in nature, such, that lateral expansion is not completely restrained but reduced to half.

- We will use the strains ( simplified expressions ) evaluated in " no-restraint case " and half them. So the new lateral strains ( εx', εy' ) would be:

                         εx' = - [ σx' - ν( σy' + σz ) ] / E = 0.5*εx

                         εx' = - [ σx' - ν( σy' + σz ) ] / E =  [ ν*σz ] / 2E

                         εy' = - [ σy' - ν( σx' + σz ) ] / E = 0.5*εy

                         εx' = - [ σy' - ν( σx' + σz ) ] / E =  [ ν*σz ] / 2E

- Now, we need to visualize the "enclosure". We see that the entire x-y plane and family of planes parallel to ( z = 0 - plane ) are enclosed by the well-fitted casing. However, the axial direction is free! So, in other words the reduction in lateral expansion has to be compensated by the axial direction. And that compensatory effect is governed by induced compressive stresses ( σx', σy' ) by the fitting on the cylinderical surface.

- We will use the relationhsips developed above and determine the induced compressive stresses ( σx', σy' ).

Note:  σx' = σy', The cylinder is radially enclosed around the entire surface.

Therefore,

                        - [ σx' - ν( σx'+ σz ) ] =  [ ν*σz ] / 2

                          σx' ( 1 - v ) = [ ν*σz ] / 2

                          σx' = σy' = [ ν*σz ] / [ 2*( 1 - v ) ]

- Now use the induced stresses in ( x-y ) plane and determine the new axial strain ( εz' ):

                           εz' = - [ σz - ν( σy' + σx' ) ] / E

                           εz' = - { σz - [ ν^2*σz ] / [ 1 - v ] } / E

                          εz' = - σz*{ 1 - [ ν^2 ] / [ 1 - v ] } / E  ... Eq2

- Now take the ratio of the axial strains determined in the second case ( Eq2 ) to the first case ( Eq1 ) as follows:

                            \(\frac{e'_z}{e_z} = \frac{- \frac{s_z}{E} * [ 1 - \frac{v^2}{1 - v} ] }{-\frac{s_z}{E}} \\\\\frac{e'_z}{e_z} = [ 1 - \frac{v^2}{1 - v} ] = [ 1 - \frac{0.3^2}{1 - 0.3} ] \\\\\frac{e'_z}{e_z} = 0.87142\)... Answer

20. The preferred method for applying the field excitation voltage uses a field relay which operates on the
principle of
Ar speed application
B. time application
C. thermal application
D. angle application

Answers

I’m pretty sure the answer is C but if not I’m sorry
Answer D

Explanation:

A house that was heated by electric resistance heaters consumed 1500 kWh of electric
energy in a winter month. If this house were heated instead by a heat pump that has an
average COP of 2.5, determine how much money the homeowner would have saved
that month. Assume a price of Tk 6/kWh for electricity.

Answers

Answer:

2.5=1500/Whp=> Whp=600 kWh

delWgain=1500-600=900 kWh

Money saved= 900* 6tk*=5400 tk

Ew Wakefield Hospital has only one portable X-ray machine. The emergency room staff claim to have the greatest need for the machine, but the surgeons in the operating room demand ready access to the machine. The conflict between these two groups is a result of Group of answer choices

Answers

Ew Wakefield Hospital has only one portable X-ray machine. The emergency room staff claim to have the greatest need for the machine, but the surgeons in the operating room demand ready access to the machine. The conflict between these two groups is a result of scarcity.

Science and technology are the driving forces behind today's modern medicine, allowing us to identify and treat a range of medical problems. X-ray technology has had a significant impact on medicine, and it is commonly used to diagnose various diseases, making it an essential tool for hospitals.

Despite the advantages, the scarcity of portable X-ray machines creates difficulties for hospital employees, including a dispute between the emergency room and the operating room staff at Ew Wakefield Hospital. There is only one portable X-ray machine available at Ew Wakefield Hospital.

The conflict between the emergency room and the operating room staff is a result of scarcity. Both departments require ready access to the X-ray machine. Scarcity can generate rivalry, competition, and conflict when people and organizations compete for the same resource.

The staff's conflict is a direct result of the lack of accessibility to the X-ray machine. Thus, scarcity can be a significant factor contributing to interpersonal conflict.

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An eddy current separator is to separate aluminum product from an input streamshredded MSW. The feed rate to the separator is 2,500 kg/hr. The feed is known to contain174 kg of aluminum and 2,326 kg of reject. After operating for 1 hour, a total of 256 kg ofmaterials is collected in the product stream. On close inspection, it is found that 140 kg ofproduct is aluminum. Estimate the % recovery of aluminum product and the % purity of thealuminum produc

Answers

Answer:

the % recovery of aluminum product is 80.5%

the % purity of the aluminum product is 54.7%

Explanation:

feed rate to separator = 2500 kg/hr

in one hour, there will be 2500 kg/hr x 1 hr = 2500 kg of material is fed into the  machine

of this 2500 kg, the feed is known to contain 174 kg of aluminium and 2326 kg of rejects.

After the separation, 256 kg  is collected in the product stream.

of this 256 kg, 140 kg is aluminium.

% recovery of aluminium will be = mass of aluminium in material collected in the product stream ÷ mass of aluminium contained in the feed material

% recovery of aluminium = 140kg/174kg x 100% = 80.5%

% purity of the aluminium product = mass of aluminium in final product ÷ total mass of product collected in product stream

% purity of the aluminium product = 140kg/256kg

x 100% = 54.7%

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