Question 7 [2] Given: A, B. Two phasors are shown below: V₁ = 8 cos (wt - A°) i2 12 = 10 sin (wt - Bº) (1) By how many degrees is i2 leading V₁? (Give your answer in the range from -180° to 180°) 07 0 [2]

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Answer 1

Given: A, B. Two phasors are shown below:V1 = 8 cos (wt - A°)I2 = 10 sin (wt - Bº)(Give your answer in the range from -180° to 180°)The angle between the two phasors is given byΘ = Θi2 - Θv1Θ = -B - (-A)Θ = A - B.

When the phase angle of V1 is subtracted from the phase angle of I2, we get the phase angle by which I2 leads V1.The phase angle by which I2 leads V1 is Θ = A - B. Therefore, the answer is given in degrees as A - B.Answer: The answer is given in degrees as A - B.

Since the question does not provide the values of A and B, it is not possible to calculate the exact answer.

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Related Questions

If the normalization values per person per year for the US in the year 2008 for each impact category is shown in the table below. Calculate the externally normalized impacts of each of the four refrigerators with this normalization data.

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Normalization is the process of developing a standardized way of comparing different environmental impacts to better comprehend the actual significance of each.

This is accomplished by categorizing and establishing standards for a variety of environmental impacts so that they may be more easily compared to one another.

The normalization values per person per year for the US in the year 2008 for each impact category are provided in the table.

The following is a list of externally normalized impacts for each of the four refrigerators based on this normalization data:

We need to take the sum of the product of the normalization values and the value of each category of the impact for every refrigerator.

The results are listed below:

For refrigerator A: 4.3*100 + 2.2*150 + 2.7*200 + 5.2*80 = 430 + 330 + 540 + 416 = 1716.

For refrigerator B: 4.3*130 + 2.2*140 + 2.7*210 + 5.2*70 = 559 + 308 + 567 + 364 = 1798.

For refrigerator C: 4.3*110 + 2.2*130 + 2.7*190 + 5.2*100 = 473 + 286 + 513 + 520 = 1792.

For refrigerator D: 4.3*100 + 2.2*160 + 2.7*180 + 5.2*90 = 430 + 352 + 486 + 468 = 1736.

Thus, the externally normalized impacts of each of the four refrigerators are as follows:

Refrigerator A: 1716 Refrigerator B: 1798 Refrigerator C: 1792 Refrigerator D: 1736.

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What advantages does worm drive have? What are the requirements for materials of worm gear in worm system? (6 scores) (8) Why should the calculation of heat balance be executed? What if the design does not achieve thermal balance? (5 scores)

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The efficiency of a worm drive is higher than that of a spur gear. It also has less power loss due to friction. Because the contact between the worm and the gear teeth is always at right angles, the wear rate is low, resulting in a longer life.

In comparison to other gearboxes, the worm gearboxes are compact and can transmit higher torque with the same size, and it is possible to achieve a higher speed reduction ratio with a worm gear. The worm gear is self-locking, which means it can maintain the drive position and hold the weight on its own without the need for a brake. The material for the worm wheel is typically made of bronze or plastic, while the worm material is often constructed of steel. In worm gear systems, bronze is a common material for worm wheels because it is tough and abrasion-resistant.

Steel is also used for worm wheels in some cases because it is less expensive and more durable than bronze. In worm gear systems, steel is typically used to make the worm shaft, and it is preferred because it can be heat-treated to achieve hardness, and it is also wear-resistant.

When a device's operating temperature is too low, the heat balance calculation helps to determine the necessary amount of heat to be added to the system. If a design does not achieve thermal balance, the operating temperature of the device may not be within the safe range, and this may result in damage to the device or sub-optimal performance.

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Please design an 1-bit Full Adder with PLA and PAL, respectively.
(A) Please show the PLA Programming Table.
(B) Please show the PAL Programming Table.
(C) Please show the PLA Circuit.
(D) Please show the PAL Circuit.

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A PLA (Programmable Logic Array) and a PAL (Programmable Array Logic) are two types of Programmable Logic Devices (PLD). PLA and PAL are two of the oldest PLDs and are used to implement combinational logic circuits. It's important to understand the difference between a PLA and a PAL.

A PLA is based on AND-OR logic, while a PAL is based on OR-AND logic.A full adder is a combinational logic circuit that adds three binary digits and generates a carry-out bit. The three binary digits that are to be added are A, B, and carry-in (CIN). Let's first go through the 1-bit full adder design with PLA and then move on to the 1-bit full adder design with PAL.(A) PLA Programming Table for 1-bit Full AdderWe must have a set of rules or equations to create a PLA Programming Table.

The rules for a 1-bit full adder are as follows PAL Programming Table for 1-bit Full Adder The rules for a 1-bit full adder are as follows Circuit Diagram for 1-bit Full Adder We will design the PLA circuit for the 1-bit full adder using the PLA Programming Table in the above part. The circuit diagram for the 1-bit full adder is as follows:In the above circuit diagram, the AND gate output terms and OR gate inputs are shown.D is the direction input, which determines whether the AND gates or the OR gates should be used to execute the logic.

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Fifth percentile U.K. male has forward reach of 777 mm. His
shoulder is 375 mm above a horizontal work surface. Calculate the
radius of the "zone of convenient reach" (ZCR) on the desktop.

Answers

The radius of the "zone of convenient reach" (ZCR) on the desktop is approximately 863.29 mm.

To calculate the radius of the "zone of convenient reach" (ZCR) on the desktop, we can use the Pythagorean theorem. The ZCR is the maximum distance that the Fifth percentile U.K. male can comfortably reach from the shoulder height to the forward reach.

Given:

Forward reach of the Fifth percentile U.K. male = 777 mm

Shoulder height above the work surface = 375 mm

Let's consider a right-angled triangle with the ZCR as the hypotenuse, the forward reach as one side, and the vertical distance from the work surface to the shoulder height as the other side.

Using the Pythagorean theorem:

ZCR² = forward reach² + shoulder height²

Substituting the given values:

ZCR² = (777 mm)² + (375 mm)²

Calculating the sum:

ZCR² = 604,929 mm² + 140,625 mm²

ZCR² = 745,554 mm²

Taking the square root of both sides to find ZCR:

ZCR = √745,554 mm

ZCR ≈ 863.29 mm

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Consider (symmetric) beam configuration 10000mm L X 100mm W X 50mm H, with tensile strength 268MPa and complete the following tasks, supposing that the beam is made of a perfectly elasto-plastic material with a yield strength equal to 245MPa
(a) Under the conditions defined above, what is the maximum elastic moment for the section? M
(b) Identify the plastic moment P and the shape factor for the section.
(c) Produce a sketch showing the distribution of stresses across the beam section for an applied moment of =12(y+P).
(d) Produce a sketch showing the distribution of residual stress across the beam section if the moment applied in part (c) is removed.

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(a) Elastic moment For a beam of dimensions, 10000mm L X 100mm W X 50mm H, under the conditions defined above and assuming that the beam is made of a perfectly elastic-plastic material with a yield strength equal to 245MPa.

The maximum elastic moment for the section is calculated by using the formula;  [tex]\frac{σ_y}{f_s}[/tex] where σy is the yield strength and fs is the stress factor.

Distribution of residual stress across the beam section the distribution of residual stress across the beam section if the moment applied in part (c) is removed is shown in the figure below. The residual stress distribution is symmetric about the neutral axis and the stress value at the outermost fiber is zero.

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a) Creep,
(i) What is the creep and explain stages of creep through sketch? Which stage of creep is more important for design purpose and why? [4 Marks] (ii) Why does temperature affect creep? [3 Marks]
(iii) Explain, how do we prevent jet engine turbine blades from creep (in combustion zone? [3 Marks] b) Corrosion, (i) What causes stress corrosion cracking? and how can SCC be avoided? [3 Marks]
(ii) Why is it important to study about corrosion for the structure integrity? and What are the benefits of corrosion control? [3 Marks] (iii) List two environmental parameters are known to influence the rate of crack growth and explain one parameter in detail. [4 Marks]
c) Discuss, two non-destructive testing methods and mention the application of each technique. [5 Marks]

Answers

Creep curve is a graphical representation of creep behavior that plots the strain as a function of time. The three stages of creep are: Primary creep: This is the first stage of creep. It begins with a high strain rate, which slows down over time. This stage is characterized by a rapidly decreasing rate of strain that stabilizes after a short period of time.

Secondary creep: This is the second stage of creep. It is characterized by a constant rate of strain. The rate of strain in this stage is slow and steady. The slope of the strain vs. time curve is nearly constant. Tertiary creep: This is the third stage of creep. It is characterized by an accelerating rate of strain, which eventually leads to failure. The rate of strain in this stage is exponential. The tertiary stage of creep is the most important for design purposes because this stage is when the material is most likely to fail.(ii) Why does temperature affect creep? Temperature affects creep because it influences the strength and elasticity of a material. As the temperature of a material increases, its strength decreases, while its ductility and elasticity increase.

The cracking occurs when the material's stress exceeds its yield strength and is assisted by the corrosive environment. SCC can be avoided by reducing the applied stress, improving the quality of the material, and avoiding exposure to corrosive media.(ii) Why is it important to study corrosion for the structure integrity? What are the benefits of corrosion control? The study of corrosion is important for structural integrity because corrosion can compromise the strength and durability of materials. Corrosion control has many benefits, including increased safety, longer service life, reduced maintenance costs, and improved performance. Corrosion control also helps to prevent accidents, downtime, and production losses.(iii) List two environmental parameters known to influence the rate of crack growth and explain one parameter in detail.

Corrosion occurs when a metal is exposed to an environment that contains moisture. The moisture reacts with the metal, causing it to corrode. The corrosion can weaken the metal and make it more susceptible to cracking. c) Discuss two non-destructive testing methods and mention the application of each technique. Two non-destructive testing methods are ultrasonic testing and magnetic particle testing.

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Write a MATLAB program that will simulate and plot the response of a multiple degree of freedom system for the following problems using MODAL ANALYSIS. Problem 1: 12 - 0 (t) 10 X(t) = 0 - [ 6360 +(-2 12]-« -H 0 Initial Conditions: x(0) and x(0) = 0 Outputs Required: Problem 1: Xi(t) vs time and x2(t) vs time in one single plot. Use different colors and put a legend indicating which color plot represents which solution.

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Here's a MATLAB program that simulates and plots the response of a multiple degree of freedom system using modal analysis for the given problem:

```matlab

% System parameters

M = [12 0; 0 10];      % Mass matrix

K = [6360 -12; -12 12]; % Stiffness matrix

% Modal analysis

[V, D] = eig(K, M);    % Eigenvectors (mode shapes) and eigenvalues (natural frequencies)

% Initial conditions

x0 = [0; 0];          % Initial displacements

v0 = [0; 0];          % Initial velocities

% Time vector

t = 0:0.01:10;       % Time range (adjust as needed)

% Response calculation

X = zeros(length(t), 2);    % Matrix to store displacements

for i = 1:length(t)

   % Mode superposition

   X(i, :) = (V * (x0 .* cos(sqrt(D) * t(i)) + (v0 ./ sqrt(D)) .* sin(sqrt(D) * t(i)))).';

end

% Plotting

figure;

plot(t, X(:, 1), 'r', 'LineWidth', 1.5);   % X1(t) in red

hold on;

plot(t, X(:, 2), 'b', 'LineWidth', 1.5);   % X2(t) in blue

xlabel('Time');

ylabel('Displacement');

title('Response of Multiple Degree of Freedom System');

legend('X1(t)', 'X2(t)');

grid on;

```

In this program, the system parameters (mass matrix M and stiffness matrix K) are defined. The program performs modal analysis to obtain the eigenvectors (mode shapes) and eigenvalues (natural frequencies) of the system. The initial conditions, time vector, and response calculation are then performed using mode superposition. Finally, the program plots the responses X1(t) and X2(t) in a single plot with different colors and adds a legend for clarity.

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Forward path of a unity-feedback system has the transfer function. fraq_{(K) {(G(s) s(s + 1)(1 + 3s)} (a) Using Routh-Hurwitz method, judge the system stability when K=2 and find the condition that constant K must satisfy for the system to be stable. [10 marks] (b) If a system with a specified closed-loop transfer function T(S) is required to be stable, and that all the poles of the transfer function are at least at the distance x from the imaginary axis (i.e. have real parts less than-x), explain how you can test if this is fulfilled by using Routh- Hurwitz method. [6 marks)

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We can find the value of x using Routh-Hurwitz method by setting all the elements in the first column of the Routh array greater than zero and solving for x.

a) The transfer function of the forward path of a unity-feedback system is fraq_{(K) {(G(s) s(s + 1)(1 + 3s)}. Here, we have to judge the stability of the system when K=2 and find the condition that constant K must satisfy for the system to be stable. The Routh-Hurwitz method is used to determine the stability of a given system by examining the poles of its characteristic equation.

When the characteristic equation has only roots with negative real parts, the system is stable.For the given system, the characteristic equation is found by setting the denominator of the transfer function to zero. Thus, the characteristic equation is: s3+4s2+3s+2K=0 The first column of the Routh array is: s3 1 3 s2 4 K The second column is found using the following equations: s2 1 3K/4 s1 4-K/3, where s2 = (4 - K/3) > 0 if K < 12, and s1 = (4K/3 - K^2/12) > 0 if 0 < K < 8.

Thus, for the system to be stable, 0 < K < 8.b) If a system with a specified closed-loop transfer function T(s) is required to be stable, and that all the poles of the transfer function are at least at the distance x from the imaginary axis (i.e. have real parts less than-x), we can test if this is fulfilled by using Routh-Hurwitz method. For a stable system, all the elements in the first column of the Routh array should be greater than zero. Therefore, if there is an element in the first column of the Routh array that is zero or negative, the system is unstable.

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An engineer is inspecting an iron rod of cross-sectional area 0.05 m2 and finds that it contains a crack 0.015 m deep. When in use, the rod must support a force of 10 x 104 N. She is concerned that the rod may fail by fast fracture. Useful information: The fracture toughness of iron Kc = 18 x 106 Nm 3/2 and oTa= (EG) a) Calculate the stress in the rod [1 mark] b) Calculate the stress intensity at the tip of the crack [3 marks] c) Hence comment on the safety of the rod. [2 marks] d) Cracks can lead to the fast fracture of a material or structure. Discuss the differences between fast fracture in ductile and brittle materials. (4 marks]

Answers

Calculation of stress in the rod Given: Force applied, F = 10 x 10^4 N Area, A = 0.05 m²Formula:The stress (σ) is defined as the force (F) acting per unit area.

Stress, [tex]σ = F / Aσ = (10 x 10^4) / (0.05)σ = 2 x 10^7 N/m²[/tex] Calculation of stress intensity at the tip of the crack Given: Depth of crack, a = 0.015 m Fracture toughness of iron, [tex] Kc = 18 x 10^6 Nm³/²[/tex]The stress intensity at the tip of the crack can be calculated as follows.

[tex]KIC = KIC = (σ√πa)/Y3/2where,σ = stressπ = 3.14Y = Geometrical factor KIC = (σ√πa)/Y3/2KIC = (σ√πa)/(E.G)^0.5[/tex] Where, E = Young's modulus G = Shear modulus The geometric factor can be taken as 2 for the given problem. Substituting the given values.

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A streamlined train is 200 m long with a typical cross-section having a perimeter of 9 m above the wheels. If the kinematic viscosity of air at the prevailing temperature is 1.5×10-5 m²/s and density 1.24 kg/m³, determine the approximate surface drag (friction drag) of the train when running at 90 km/h. Make allowance for the fact that boundary layer changes from laminar to turbulent on the train

Answers

The approximate surface drag (friction drag) of the train when running at 90 km/h is approximately 6952.5 Newtons.

To calculate the approximate surface drag (friction drag) of the train, we can use the drag coefficient and the equation for drag force. The drag force can be expressed as:

Drag Force = 0.5 * Cd * A * ρ * V^2

Where:

Cd is the drag coefficient (depends on the flow regime - laminar or turbulent)

A is the reference area (cross-sectional area in this case)

ρ is the density of air

V is the velocity of the train

First, let's determine the reference area. The cross-sectional area is given as the perimeter of the train above the wheels, which is 9 m. Since the train is streamlined, we can assume the reference area is equal to the cross-sectional area:

A = 9 m^2

Next, we need to determine the drag coefficient (Cd). The boundary layer transition from laminar to turbulent can affect the drag coefficient. In this case, we can assume a value of Cd = 0.1 for the laminar flow regime and Cd = 0.2 for the turbulent flow regime.

Now we can calculate the drag force:

Drag Force = 0.5 * Cd * A * ρ * V^2

Let's convert the velocity from km/h to m/s:

V = 90 km/h = (90 * 1000) / 3600 m/s = 25 m/s

For the laminar flow regime:

Drag Force (laminar) = 0.5 * 0.1 * 9 * 1.24 * 25^2 = 2317.5 N

For the turbulent flow regime:

Drag Force (turbulent) = 0.5 * 0.2 * 9 * 1.24 * 25^2 = 4635 N

The approximate surface drag of the train is the sum of the drag forces for the laminar and turbulent flow regimes:

Surface Drag = Drag Force (laminar) + Drag Force (turbulent)

= 2317.5 N + 4635 N

= 6952.5 N

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Penetration of renewable energy could support concept of
sustainability. Summarize the concept and produce its relation with
renewable energy.
Answer within 45 minutes. Answer must be
correct.

Answers

Sustainability refers to the ability of an entity to maintain a certain level of balance in the various spheres of life. Sustainability is an essential concept in today's world, where climate change, pollution, and environmental degradation are some of the biggest challenges faced by humanity.

Renewable energy is a type of energy that is produced from sources that are constantly replenished, such as solar, wind, hydro, and geothermal power. Renewable energy can play a significant role in promoting sustainability. The penetration of renewable energy can help reduce dependence on fossil fuels, which are a significant contributor to greenhouse gas emissions and global warming.

By using renewable energy, we can reduce the impact of human activities on the environment and promote the long-term sustainability of our planet. Renewable energy can also support the concept of sustainability by providing a more decentralized and distributed energy system.

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Which of the following statements is wrong? A Compressed liquid" is a liquid that in its heating process is still below the saturation point and is not about to vapourize B "Superhented vapour" is vapour which has been over-belted above 1000°C C "Saturated liquid" is a liquid that has reached its saturation point and is about to vapourse D "Saturated vapourt" is a vaportar at its saturation point. Saturated vapour becomes superficated if more hout is added, and becomes condensed to satunited liquid if heat is removed

Answers

Among the statements mentioned in the options, option B is incorrect. Super heated vapor is not the vapor that has been over-boiled above 1000°C.

Super heated vapor is the vapor that is present at a temperature higher than its saturation temperature or boiling point. It is the vapor that is not in contact with its liquid. It has no association with the boiling temperature of the liquid; it only depends on the pressure and temperature of the liquid.

 Explanation:Thermodynamic terms such as a compressed liquid, super heated vapor, saturated liquid, and saturated vapor are crucial to understanding the properties of water and steam. They are also used in the context of the steam cycle, which is used in power generation plants, among other things.

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Power generations based on the high and low tide stream have been investigated. Consider a water current turbine with 1m diameter rotor. Speed of the rotor at 1.2 m/s water velocity is 55 rev/min and its power coefficient at this point is 0.30.Calculate the tip speed ratio and torque coefficient of the turbine. Calculate the torque available at the rotor shaft. Assume the specific gravity of seawater to be 1.02

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Hydrokinetic power generation technology is a very promising area of research for renewable energy. It is based on the generation of energy using the flow of water.

The velocity and energy of water currents and tidal streams can be used to power turbines and generators for electricity generation. Water current turbines are a key technology used in this context. The tip speed ratio (TSR) and torque coefficient are key parameters that describe the performance of these turbines.

The first step is to calculate the rotational speed of the rotor:

[tex]$$\text{RPM}=\frac{V}{\pi d} \times 60$$[/tex]

where V is the velocity of the water and d is the diameter of the rotor. Using the values provided, we have:

[tex]$$\text{RPM}=\frac{1.2}{\pi \times 1} \times 60 = 228.39\text{ RPM}$$[/tex]

The tip speed ratio (TSR) is the ratio of the velocity of the rotor at its tip to the velocity of the water.

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For a construction work, we have to prepare concrete at the site. The concrete is prepared by volume batching in the ratio 1: F: C with a water cement ratio of R. If the dimensions of the slab in which the concrete is to be poured is Length=Lx m Width=Ly m and Thickness = Lz m, how much volume of cement, fine and coarse aggregates and water to be taken? (Assume no bulking of materials while considering the volume. Take the volume of water in addition to the normal volume of other ingredients)

Answers

To prepare concrete at the construction site, for the given ratio and dimensions, the following volumes should be taken: Cement = (Lx * Ly * Lz) / (1 + F + C), Fine Aggregates = F * (Lx * Ly * Lz) / (1 + F + C), Coarse Aggregates = C * (Lx * Ly * Lz) / (1 + F + C), and Water = R * Cement.

To calculate the volume of cement, fine aggregates, coarse aggregates, and water required for preparing concrete at the construction site, we need to follow the given ratio and consider the dimensions of the slab. The ratio is 1: F: C, where F represents the proportion of fine aggregates and C represents the proportion of coarse aggregates.

Step 1: Calculate the volume of cement:

The volume of cement can be determined by dividing the total volume of the slab (Lx * Ly * Lz) by the sum of the ratio components (1 + F + C).

Step 2: Calculate the volume of fine aggregates:

Multiply the ratio component F by the total volume of the slab (Lx * Ly * Lz) and divide it by the sum of the ratio components (1 + F + C).

Step 3: Calculate the volume of coarse aggregates:

Similar to the calculation of fine aggregates, multiply the ratio component C by the total volume of the slab (Lx * Ly * Lz) and divide it by the sum of the ratio components (1 + F + C).

Step 4: Calculate the volume of water:

The volume of water required can be obtained by multiplying the water cement ratio (R) with the volume of cement calculated in Step 1.

In summary, to prepare the concrete at the construction site, the volume of cement, fine aggregates, coarse aggregates, and water should be determined based on the given ratio and the dimensions of the slab. By following the provided calculations, the required volumes can be accurately determined.

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Hardenability is a procedure that can be used to define the level of hardening in hardenable steels. Using high hardenable steels and low hardenable steels, plot and discus the typical hardness curve of the Jominy end quench test.

Answers

The high-hardenability steel has a steeper hardness gradient than the low-hardenability steel, indicating that it is more responsive to hardening.

Conversely, the low-hardenability steel experiences a lesser decrease in hardness than the high-hardenability steel as the distance from the quenched end increases.

Hardenability refers to the ability of a steel alloy to harden when it's quenched from a temperature above the critical range.

The Jominy end quench test is used to measure the hardenability of steels. High hardenable steels tend to have higher carbon content and alloys such as manganese, silicon, chromium, vanadium, and molybdenum.

Low hardenable steels have lower carbon content and alloyed with small amounts of manganese and silicon.

Typical hardness curves of the Jominy end quench testA typical hardness curve of the Jominy end quench test for high-hardenability steel is shown in the figure below:

An initial high level of hardness is observed at the quenched end due to the martensitic structure formed at the surface.

The hardness decreases towards the other end of the specimen as the distance from the quenched end increases.

The low hardenability steel will have lower surface hardness at the quenched end due to the formation of coarse pearlite, ferrite, and martensite.

However, it will experience a lesser decrease in hardness than a high hardenable steel as the distance from the quenched end increases.

The graph of the low-hardenability steel hardness curve looks flatter than that of the high-hardenability steel hardness curve.

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What is the ductile brittle transition temperature in steels. Explain in detail the factors affecting this property in steels. How can the ductile-brittle transition temperature property of steels be improved without reducing the weldability, ductility, hardness and strength values? Explain in detail (draw the relevant figures and graphics you deem necessary).

Answers

Ductile-brittle transition temperature is the temperature at which ductile to brittle transition takes place. Heat treatment is another method that can be used to improve the ductile-brittle transition temperature of steels. Heat treatment can change the microstructure of steels, which affects their ductility and toughness.

It is the temperature at which a material's toughness and ductility drops suddenly from high to low values. This transition temperature varies from one material to another, and it is usually tested with the Charpy impact test.Ductile-brittle transition temperature in steelsDuctile-brittle transition temperature is important in engineering as it influences the mechanical behavior of materials at low temperatures. Ductile materials have the ability to deform plastically when subjected to an applied force
Composition: The composition of steels affects their mechanical properties. The addition of alloying elements can change the microstructure of steels, which in turn affects their ductility and toughness.
Grain size: Grain size also plays an important role in determining steel's mechanical properties. A fine-grained microstructure tends to enhance ductility, while a coarse-grained microstructure tends to reduce ductility.
Heat treatment: Heat treatment can change the microstructure of steels, which affects their ductility and toughness.
Rate of loading: The rate of loading can affect the ductile-brittle transition temperature. A slow loading rate can result in ductile behavior, while a fast loading rate can result in brittle behavior.
Alloying elements such as nickel and manganese have been shown to improve the ductile-brittle transition temperature of steels. Another method is by refining the grain size. A fine-grained microstructure tends to enhance ductility, while a coarse-grained microstructure tends to reduce ductility.

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How is acceleration of particles achieved in an electromagnetic
propulsion system?

Answers

An electromagnetic propulsion system is the technology that uses the interaction between electric and magnetic fields to propel a projectile. The system consists of a power source that converts electrical energy into a magnetic field.

The magnetic field then interacts with the metallic object on the projectile, generating a force that propels the projectile forward.The acceleration of particles in an electromagnetic propulsion system is achieved through the Lorentz force. This force acts upon charged particles in a magnetic field.

The Lorentz force can be expressed as:

F = q(E + v × B), where

F is the force on the particle,

q is the charge of the particle,

E is the electric field,

v is the velocity of the particle, and

B is the magnetic field.

The Lorentz force can be manipulated to achieve the desired acceleration of particles in an electromagnetic propulsion system. By adjusting the strength and direction of the magnetic field, the force acting on the charged particles can be increased or decreased. The electric field can also be adjusted to achieve the desired acceleration.

The electromagnetic propulsion system has several advantages over conventional propulsion systems. It is highly efficient and has a lower environmental impact. The system also has a higher thrust-to-weight ratio, making it ideal for space travel.

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A particle is moving along a straight line through a fluid medium such that its speed is measured as v = (80 m/s, where t is in seconds. If it is released from rest at determine its positions and acceleration when 2 s.

Answers

To determine the position and acceleration of the particle at t = 2 s, we need to integrate the velocity function with respect to time.

Given:

Velocity function: v = 80 m/s

Initial condition: v₀ = 0 (particle released from rest)

To find the position function, we integrate the velocity function:

x(t) = ∫v(t) dt

      = ∫(80) dt

      = 80t + C

To find the value of the constant C, we use the initial condition x₀ = 0 (particle released from rest):

x₀ = 80(0) + C

C = 0

So, the position function becomes:

x(t) = 80t

To find the acceleration, we differentiate the velocity function with respect to time:

a(t) = d(v(t))/dt

       = d(80)/dt

       = 0

Therefore, the position of the particle at t = 2 s is x(2) = 80(2) = 160 m, and the acceleration at t = 2 s is a(2) = 0 m/s².

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true or false Strength of materials was concern with relation .between load and stress The slope of stress-strain called the modulus of .elasticity The unit of deformation has .the same unit as length L The Shearing strain is defined as the angular change between three perpendicular faces of a .differential elements Bearing stress is the pressure resulting from the connection of adjoining .bodies Normal force is developed when the external loads tend to push or pull on the two .segments of the body If the thickness t≤10/D,it is .called thin walled vessels The structure of the building needs to know the internal . loads at various points A balance of forces prevent the body from translating or having a accelerated motion .along straight or curved path The ratio of the shear stress to the shear strain is called .the modulus of elasticity

Answers

Strength of materials was concerned with the relation between load and stress, which is true. Strength of materials is the study of how solid objects react and deform under stress and strain, including the elasticity, plasticity, and failure of solid materials. The slope of the stress-strain curve is called the modulus of elasticity, which is also true. The modulus of elasticity is defined as the ratio of stress to strain within the elastic limit.

The unit of deformation has the same unit as length L, which is true. The unit of deformation is the same as that of length, which is typically measured in meters (m). The Shearing strain is defined as the angular change between three perpendicular faces of a differential element, which is also true. Shear strain is defined as the angular change between two parallel faces of a differential element, whereas shear stress is defined as the force per unit area that acts parallel to the face.

A balance of forces prevents the body from translating or having an accelerated motion along a straight or curved path, which is true. The principle of equilibrium states that for an object to be in a state of equilibrium, the net force acting on it must be zero. The ratio of the shear stress to the shear strain is called the modulus of rigidity or shear modulus, which is false. The correct term for the ratio of the shear stress to the shear strain is the modulus of rigidity or shear modulus.

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There is a single-turn loop in free-space. The loop radius is 10 cm. Calculate its inductance with matlab programming: Please show the followings: 1) Plot of Bz along the x-axis 2) Result of L 3) Compare it with that from the formula (with wire radius of 0.5 mm)

Answers

To calculate the inductance of a single-turn loop with a radius of 10 cm and compare it with the formulaic result using a wire radius of 0.5 mm, you can use MATLAB programming.

Here's an example implementation:

% Constants

mu0 = 4*pi*1e-7; % Permeability of free space

loop_radius = 0.1; % Loop radius in meters

wire_radius = 0.0005; % Wire radius in meters

% Calculation of inductance using formula

L_formula = (mu0/(2*pi)) * log((8*loop_radius)/wire_radius);

% Calculation of Bz along the x-axis

x = linspace(-loop_radius, loop_radius, 100); % x-axis coordinates

Bz = (mu0/(2*pi)) * (loop_radius^2) ./ ((x.^2 + loop_radius^2).^(3/2));

% Plot of Bz along the x-axis

plot(x, Bz);

xlabel('x-axis (m)');

ylabel('Bz (Tesla)');

title('Magnetic Field along the x-axis');

% Display the calculated inductance

disp(['Calculated Inductance: ', num2str(L_formula), ' Henries']);

This MATLAB code calculates the inductance using the formula and plots the magnetic field (Bz) along the x-axis for the given loop radius. It also displays the calculated inductance value.

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A developer in Hawaii is considering building an ocean thermal energy conversion (OTEC) power plant. Due to the cost of land, they want to minimize the land footprint on this shore. They will also not build the OTEC power plant if it cannot provide at least 500 kWh m⁻² year⁻¹ in electricity. You have determined that a 50 kW capacity OTEC power plant would require 425 m² of land. Despite an efficiency of 7% in net generation of electricity from the temperature difference between deep and shallow seawater, the power plant would have a capacity factor of 90% on average throughout the year. Would this OTEC power plant meet the minimum electricity generation of 500 kWh per square meter per year needed for the company to choose to build it?

Answers

The OTEC power plant will be built as it can produce more than 500 kWh/m² of electricity.

From the question above, Power = Capacity factor × Capacity

50 kW = 0.9 × Capacity

Capacity = 55.56 kW

Electricity generated in 1 hour is given as:Electricity generated = Power × time= 55.56 × 1 h= 55.56 kWh

Electricity generated in a year is given as:

Electricity generated = Power × time × Capacity factor × Efficiency

365 days = 55.56 × 24 × 365 × 0.9 × 0.07= 478.71 MWh

Area required for OTEC power plant to produce electricity of 478.71 MWh:

Area required = Electricity generated/Area= 478.71 MWh/ (500 kWh/m² × 1 year)= 0.95742 m²

The area required for the OTEC power plant to generate 478.71 MWh is 0.95742 m² whereas the area required by the OTEC power plant is 425 m².

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What mechanisms does TCP use to avoid network congestion? After reaching ssthreh, it slows down the transmission rate Uses delayed acknowledgement Stalls the user's browser Sends three segments after receiving three duplicate ACKS Slowly start increasing the transmission rate Closes the Advertised Window

Answers

Transmission Control Protocol (TCP) is a protocol used to ensure reliable transmission of data over the internet. TCP is responsible for transmitting and receiving data packets between connected computers. However, at times, it becomes necessary to control the rate at which data is being transmitted to avoid network congestion.

Below are the mechanisms used by TCP to avoid network congestion.

1. After reaching ss thresh, it slows down the transmission rate

TCP is designed to transmit data at a specific rate. However, it becomes necessary to slow down the rate of transmission once a specific threshold is reached. This is referred to as the slow start threshold (ss thresh). Once the ss thresh is reached, TCP slows down the transmission rate to avoid network congestion.

2. Uses delayed acknowledgement

When a computer receives data from another computer, it acknowledges the receipt of the data. However, in some cases, the acknowledgment can be delayed to prevent congestion in the network. TCP uses delayed acknowledgment to reduce the number of packets sent and received between connected computers.

3. Stalls the user's browser

TCP can stall the user's browser when the network is congested. This mechanism prevents the user from sending additional data to the network and frees up resources.

4. Sends three segments after receiving three duplicate ACKS

TCP sends three segments after receiving three duplicate acknowledgments. This mechanism is used to control the rate of data transmission and prevent congestion in the network.

5. Slowly start increasing the transmission rate

TCP slowly increases the transmission rate after slowing down due to congestion. This mechanism ensures that data is transmitted at a rate that is safe for the network.

6. Closes the Advertised Window

TCP closes the advertised window to prevent congestion in the network. This mechanism ensures that the network does not get overloaded with data.

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PLEASE ANSWER ASAP, WILL UPVOTE THANK YOU
The central sphere and barrel shown in Fig. B3 form a single rigid body that rotates about the origin point, O. At the instant shown the axis of the barrel is in the y-z plane at an angle θ1 = 40 degree and the central sphere and barrel have an angular velocity of w1 = 2 rad/s about the x-axis and angular velocity of w3 = 10.91 rad/s about the z-axis. The projectile C is at a distance R = 1793 mm from the origin with a velocity relative to the barrel of 10
m/s. Determine the velocity of the projectile C, measured by a fixed frame of reference.

Answers

Projectile C is moving at a velocity of 10 m/s relative to the barrel. So, in order to determine the velocity of projectile C measured by a fixed frame of reference, we can use the relative velocity formula, which is given byV(P / F) = V(P / B) + V(B / F)where, V(P / F) is the velocity of projectile measured by fixed frame of reference.

In order to do that, we need to resolve the angular velocity of the central sphere and barrel, w1, about the x-axis into its components along y-axis and z-axis as follows:w1(y) = w1 sin θ1 = 2 sin 40° ≈ 1.29 rad/sw1(z) = w1 cos θ1 = 2 cos 40° ≈ 1.53 rad/s Now, we can write the velocity of barrel measured by a fixed frame of reference using the velocity formula for a rigid body, which is given by V(B / F) = ω × r where, ω is the angular velocity of the rigid body and r is the position vector of the point at which the velocity is to be determined with respect to the origin.

Therefore, the velocity of projectile C measured by a fixed frame of reference is approximately -1952 i + 196 j + 16895 m/s.

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Two pipes with 400 and 600 mm diameters, and 1000 and 1500 m lengths, respectively, are connected in series through one 600 * 400 mm reducer, consist of the following fittings and valves: Two 400-mm 90o elbows, One 400-mm gate valve, Four 600-mm 90o elbows, Two 600-mm gate valve. Use
the Hazen Williams Equation with a C factor of 130 to calculate the total pressure drop due to friction in the series water piping system at a flow rate of 250 L/s?

Answers

The total pressure drop due to friction in the series water piping system at a flow rate of 250 L/s is 23.12 meters.

To calculate the total pressure drop, we need to determine the friction losses in each section of the piping system and then add them together. The Hazen Williams Equation is commonly used for this purpose.

In the first step, we calculate the friction loss in the 400-mm diameter pipe. Using the Hazen Williams Equation, the friction factor can be calculated as follows:

f = (C / (D^4.87)) * (L / Q^1.85)

where f is the friction factor, C is the Hazen Williams coefficient (130 in this case), D is the pipe diameter (400 mm), L is the pipe length (1000 m), and Q is the flow rate (250 L/s).

Substituting the values, we get:

f = (130 / (400^4.87)) * (1000 / 250^1.85) = 0.000002224

Next, we calculate the friction loss using the Darcy-Weisbach equation:

ΔP = f * (L / D) * (V^2 / 2g)

where ΔP is the pressure drop, f is the friction factor, L is the pipe length, D is the pipe diameter, V is the flow velocity, and g is the acceleration due to gravity.

For the 400-mm pipe:

ΔP1 = (0.000002224) * (1000 / 400) * (250 / 0.4)^2 / (2 * 9.81) = 7.17 meters

Similarly, we calculate the friction loss for the 600-mm pipe:

f = (130 / (600^4.87)) * (1500 / 250^1.85) = 0.00000134

ΔP2 = (0.00000134) * (1500 / 600) * (250 / 0.6)^2 / (2 * 9.81) = 15.95 meters

Finally, we add the friction losses in each section to obtain the total pressure drop:

Total pressure drop = ΔP1 + ΔP2 = 7.17 + 15.95 = 23.12 meters

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Give some example of a topic within thermodynamics for a
capstone project with a title.

Answers

"Enhancing Energy Efficiency in a Waste Heat Recovery System using Thermoelectric Technology"

This capstone project aims to explore the application of thermoelectric technology in waste heat recovery systems to improve energy efficiency. The project will involve designing and implementing a prototype system that utilizes thermoelectric generators to convert waste heat into electrical energy.

The performance of the system will be evaluated through experimental testing and data analysis, focusing on factors such as temperature differentials, thermoelectric material selection, and system optimization. The findings and recommendations from this project can contribute to the development of more sustainable and energy-efficient industrial processes.

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A 47 years old female worker weighing 53 kg lifts 20 kg bags of cement onto a conveyor belt. His spinal compression at L3-L4 is 4500 N. Calculate the spinal compression tolerance limit and comment on the safety of the task.

Answers

The spinal compression tolerance limit of the female worker is 4661 N. It is safe for the female worker to lift the 20 kg bags of cement onto the conveyor belt.

Explanation:

The problem given requires calculating the spinal compression tolerance limit and commenting on the safety of the task. The given values are the age of the female worker is 47 years, her weight is 53 kg, the weight lifted by her is 20 kg, and the spinal compression at L3-L4 is 4500 N. To calculate the spinal compression tolerance limit, the following steps can be followed:

Step 1: Given values

The female worker's age is 47 years.

The female worker's weight is 53 kg.

The weight lifted by the worker is 20 kg.

The spinal compression at L3-L4 is 4500 N.

Step 2: Calculation of spinal compression tolerance limit

The spinal compression tolerance limit for women is 7700 N. The recommended limit for lifting an object is a compressive force of less than 3400 N (765 pounds) for a single person with the following characteristics: female, 25-30 years old, and weighing less than 68 kg according to the National Institute for Occupational Safety and Health (NIOSH).

The spinal compression tolerance limit can be calculated using the following formula:

Spinal compression tolerance limit = (Recommended weight limit / Reference weight) × (Body weight) × (Vertical Multiplier)

The vertical multiplier for lifting at waist height is 1.6. The reference weight for a 47-year-old female worker is 64 kg, which can be found in the NIOSH lifting equation manual. Using the above formula, the spinal compression tolerance limit can be calculated as:

Spinal compression tolerance limit = (3400 / 64) × (53) × (1.6)

= 4660.625 N

≈ 4661 N (approx.)

Step 3: Comment on the safety of the task

The spinal compression tolerance limit of the female worker is 4661 N. The spinal compression at L3-L4 due to lifting the 20 kg cement bags is 4500 N. The spinal compression tolerance limit is greater than the spinal compression force due to lifting the cement bags. Therefore, it is safe for the female worker to lift the 20 kg bags of cement onto the conveyor belt.

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Steel rod made of SAE 4140 oil quenched is to be subjected to reversal axial load 180000N. Determine the required diameter of the rod using FOS= 2. Use Soderberg criteria. B=0.85, C=0.8 .

Answers

SAE 4140 oil quenched steel rod is to be subjected to reversal axial load of 180000N. We are supposed to find the required diameter of the rod using the Factor of Safety(FOS)= 2. We need to use the Soderberg criteria with B=0.85 and C=0.8.

The Soderberg equation for reversed bending stress in terms of diameter is given by:

[tex]$$\frac{[(Sa)^2+(Sm)^2]}{d^2} = \frac{1}{K^2}$$[/tex]

Where Sa = alternating stressSm = mean stressd = diameterK = Soderberg constantK = [tex](FOS)/(B(1+C)) = 2/(0.85(1+0.8))K = 1.33[/tex]

From the Soderberg equation, we get:

[tex]$$\frac{[(Sa)^2+(Sm)^2]}{d^2} = \frac{1}{1.33^2}$$$$\frac{[(Sa)^2+(Sm)^2]}{d^2} = 0.5648$$For the given loading, Sa = 180000/2 = 90000 N/mm²Sm = 0Hence,$$\frac{[(90000)^2+(0)^2]}{d^2} = 0.5648$$$$d^2 = \frac{(90000)^2}{0.5648}$$$$d = \sqrt{\frac{(90000)^2}{0.5648}}$$$$d = 188.1 mm$$[/tex]

The required diameter of the steel rod using FOS = 2 and Soderberg criteria with B=0.85 and C=0.8 is 188.1 mm.

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A machine of mass 100 kg sits on a floor that moves vertically with amplitude of 5 cm at frequency of 400 rpm. Undamped isolator / vibration absorber are designed for this machine to fit different transmissibility requirement. To achieve 80% vibration isolation, the machine is to be mounted on an undamped isolator. Please answer (a)-(d). (a) Calculate the frequency ratio and fill the value in the following blank. (b) Determine the natural frequency (rad/s) of this system. (c) Design the undamped vibration isolator (find its spring stiffness in N/m). (d) Find out the transmitted displacement (m) of the machine with undamped isolator. To achieve 85% vibration isolation, the machine is to be mounted on a damped shock absorber with a damping ratio of 0.2. Please answer (e)-(h). (e) Calculate the frequency ratio and fill the value in the following blank. (f) Determine the natural frequency (rad/s) of this system. (g) Determine the stiffness (N/m) of the vibration absorber. (h) Determine the damping constant (N.s/m) of the vibration absorber.

Answers

Given, mass of machine, m = 100 kgAmplitude, A = 5 cm = 0.05 m Frequency, f = 400 rpm= 400/60 Hz = 20/3 HzPercentage of vibration isolation, η = 80% = 0.8

(a) Frequency ratio,ωn= 2πfnωn = (2π × 20/3) = 41.89 rad/s(b) Natural frequency,ωd=ωn(1−η2)ωd=ωn(1−η2)ωd= 41.89 (1-0.82)ωd= 21.07 rad/s(c) Spring stiffness, k = mωd2k = mωd2= 100 × (21.07)2k = 4.45 × 10^4 N/m(d) Transmitted displacement, x = Aηx = Aη= 0.05 × 0.8x = 0.04 mPercentage of vibration isolation, η = 85% = 0.85(e) Frequency ratio,ωn= 2πfnωn= (2π × 20/3) = 41.89 rad/s(f) Natural frequency,ωd=ωn(1−η2)ωd=ωn(1−η2)ωd= 41.89 (1-0.852)ωd= 33.60 rad/s(g) Stiffness of vibration absorber,k= mωd2 (1−η2)k= mωd2 (1−η2)= 100 × (33.60)2 / [1 - (0.85)2]k = 3.32 × 105 N/m(h) Damping constant, c = 2ηωdmc= 2ηωdm= 2 × 0.2 × 33.60 × 100c = 1344 N.s/mTherefore, the main answer for the given question is as follows

:(a) Frequency ratio, ωn = 41.89 rad/s(b) Natural frequency, ωd = 21.07 rad/s(c) Spring stiffness, k = 4.45 × 104 N/m(d) Transmitted displacement, x = 0.04 m(e) Frequency ratio, ωn = 41.89 rad/s(f) Natural frequency, ωd = 33.60 rad/s(g) Stiffness of vibration absorber, k = 3.32 × 105 N/m(h) Damping constant, c = 1344 N.s/m

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Air with a uniform current at a speed of 100 ft per sec is flowing around a ROTATING cylinder with a radius of 15 in. The cylinder is rotating about 100 times per minute. The freestream is said to be at Standard Sea Level Condition. At an angle of 20 deg with the direction of the flow, what is the pressure at that point?

Answers

Given parameters:Speed of the current = 100 ft per secRadius of cylinder = 15 in Revolution = 100 per minuteAngle = 20 degreesFind: Pressure at that pointThe answer to the question is:P = (dynamic pressure) + (static pressure)Where dynamic pressure is the pressure exerted by the fluid due to its motion and static pressure is the pressure exerted by the fluid when it is at rest.

To find the dynamic pressure we can use the formula below.Q = (density of fluid) x (velocity)^2/2Where Q is dynamic pressureDensity of air at sea level condition = 1.23 kg/m^3Let's convert the given parameters into SI units:Speed of the current = 100 ft per sec = 30.48 m/sRadius of cylinder = 15 in = 0.381 mRevolution = 100 per minute = 100/60 rev per sec = 1.67 rev per secAngle = 20 degrees = 0.349 radians

Now, substitute the values into the formula of dynamic pressure.Q = 1.23 x (30.48)^2/2Q = 5587.79 N/m^2Let's find the static pressure of the fluid.P = (density of fluid) x (gravity) x (height)Where gravity = 9.81 m/s^2, and height is the distance between the surface of the fluid and the point where we want to find the pressure. Here the height is the radius of the cylinder, which is 0.381 m.P = 1.23 x 9.81 x 0.381P = 4.64 N/m^2

Now, find the pressure at the point using the formula:P = Q + PP = 5587.79 + 4.64P = 5592.43 N/m^2Therefore, the pressure at that point is 5592.43 N/m^2 when the air with a uniform current at a speed of 100 ft per sec is flowing around a ROTATING cylinder with a radius of 15 in at an angle of 20 degrees with the direction of the flow.

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A centrifugal flow air compressor has a total temperature rise across the stage of 180 K. There is no swirl at inlet and the impeller has radial outlet blading. The impeller outlet diameter is 45 mm. Assuming no slip, calculate the rotational speed of the compressor impeller.

Answers

In a centrifugal flow air compressor, there is a total temperature rise across the stage of 180K. Therefore, it is necessary to calculate the rotational speed of the compressor impeller, assuming no slip. Impeller outlet velocity: where, $N$ is the speed of rotation in rpm.

Where, $b$ is blade angle at outlet in radian. Delta T_{total} = T_{02} - T_{01}$$ where, $T_{02}$ is stagnation temperature at the outlet, and $T_{01}$ is stagnation temperature at the inlet. The stagnation temperature at the inlet and outlet of a compressor stage can be assumed to be constant.

Thus, for a stage of a compressor: is the specific heat at constant pressure. Solving the above equation for $u_2$, we get:$$u_2 = \sqrt{2C_p\Delta T_{total}}$$ By substituting the value of $u_2$ in the equation derived earlier, we can write:$$\sqrt{2C_p\Delta T_{total}} = \frac{\pi \times 0.045 \times N}{60} - \frac{\pi \times 0.045 \times bN}{60}$$ By simplifying the above equation,

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