The departure angles are θd = (sum of angles of poles - sum of angles of zeros + 180°) / (number of poles - number of zeros), The angles of the complex poles are symmetrical about the real axis.
To sketch the root locus of the unity feedback control system with the given transfer functions, we need to analyze the poles and zeros of the system as the gain K varies. Based on the provided transfer functions, I will outline the steps to sketch the root locus for each case.
a. G(s) = K(S+12) / (S(S^2 + 16S + 100))
Determine the open-loop transfer function:
G(s) = K(S + 12) / (S(S^2 + 16S + 100))
Find the poles of G(s):
Denominator = S(S^2 + 16S + 100) = S^3 + 16S^2 + 100S
Poles: S = 0, S = -8 ± 6j (complex conjugate)
Find the zeros of G(s):
Numerator = K(S + 12)
Zeros: S = -12
Determine the number of branches:
Since there are 3 poles and 1 zero, there will be 3 branches starting from the poles.
Determine the asymptotes:
The number of asymptotes is given by:
N = number of poles - number of zeros = 3 - 1 = 2
The asymptotes can be found using the angle criterion:
θa = (2k + 1) * 180° / N
where k = 0, 1, ..., N-1
Determine the centroid:
The centroid of the poles and zeros is given by:
σc = (sum of poles - sum of zeros) / (number of poles - number of zeros)
σc = (-8 + 8 - 12) / 2 = -6Determine the departure angles:
The departure angles are given by:
θd = (sum of angles of poles - sum of angles of zeros + 180°) / (number of poles - number of zeros)
Note that the angles of the complex poles are symmetrical about the real axis.
Sketch the root locus:t the asymptotes and centroid.
Draw the root locus branches using the departure angles and asymptotes.
Mark the locations of the poles and zeros.
Repeat the above steps for parts b, c, and d with the corresponding transfer functions to sketch the root locus for each case.
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What in the purpose of in-liquid-line filters?
Answer:
When you build a compressor that is supposed to run in an enclosed system you want the coolant medium (and the lubricants) in this system to function optimally during the service life of the system.
First of all, the coolant medium has a tendency to absorb water and this moisture can be aggressive on the internal components of the compressor so you want to remove this once the system is sealed.
Second, you want to filter out any particles that may shorten the life of the system.
Those are the two purposes of the liquid line filter drier in the refrigeration system.
Explanation:
d
K
A shaft consisting of a steel tube of 50-mm outer diameter is to transmit 100 kW of power while rotating at a frequency of 36 Hz.
Determine the tube thickness that should be used if the shearing stress is not to exceed 60 MPa.
The tube thickness that should be used is [
mm.
Based on the information, the tube thickness that should be used is 3.18 mm.
How to calculate the valuePower = Torque * Angular velocity
100 kW = Torque * (2 * pi * 36 Hz)
Torque = 2212.14 N-m
In this case, the polar moment of inertia is:
J = pi * 50⁴ / 32 = 196250 pi mm⁴
Maximum shear stress = Torque / J
Maximum shear stress = 2212.14 N-m / 196250 pi mm⁴ = 0.0499 MPa
Tube thickness = 2 * ✓(60 MPa / pi * 50²) = 3.18 mm
Therefore, the tube thickness that should be used is 3.18 mm.
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In what flight condition are torque effects more pronounced in a single-engine airplane?
A. Low airspeed, high power, high angle of attack.
B. Low airspeed, low power, low angle of attack.
C. High airspeed, high power, high angle of attack.
In low airspeed, high power, and high angle of attack flight conditions, torque effects are more pronounced in a single-engine airplane. Therefore, option A is correct.
A torque is a rotational or twisting force that tends to cause rotation around an axis or pivot point. It is a vector quantity, meaning that it has both a magnitude and a direction.
In flight, torque refers to the twisting force produced by an airplane's engine and propeller as they rotate. which can cause the airplane to roll or sheer in the opposite direction. Thus, option A is correct.
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Air flow at 15 m/s past a thin flat plate. Estimate the distance x from the leading edge at which the boundary layer thickness will be (a) 10 cm and (b) 1 mm. Use a transition Reynolds number of 5 x 105.
Answer:
a) x = 5.7791 m ( this a turbulent flow )
b) x = 0.04 m ( this is a Laminar flow )
Explanation:
For Air, take
p = 1.2 kg/m³ and u = 1.8×10⁻⁵ kg/m³
So for A , x = 10 cm
Guess turbulent flow;
(Sturb / x) = (0.16 / (p∪x / u)^1/7)
we substitute
(0.1/x = 0.16) / ( 1.2 × 15 × x / 1.8×10⁻⁵)^1/7
x = 5.7791 m
CHECK
Re = (1.2 × 15 × 5.7791) / 1.8×10⁻⁵ = 5.779×10⁶
Therefore this a turbulent flow
for B, x = 1mm
Guess Laminar flow
(S-laminar / x) = ( 5 / (Reₓ)^1/2)
x = (Stutb)²p∪ / 23u
x = ((0.001)² × 1.2 × 15) / (25 × 1.8×10⁻⁵)
x = 0.04 m
CHECK
Re = (1.2 × 15 × 0.04) / (1.8×10⁻⁵)
= 40000
Therefore this is a Laminar flow
A circuit has two resistors in parallel, each resistor is 6 ohms. This circuit is connected to a single resistor of 6 ohms, to form a series-parallel circuit. What is the total resistance of the circuit?
The tatal resistance of the series-parallel circuit with two resistor connected in parallel which combination is connected in series to a single resistor is 9 ohms.
What is a resistance?
This can be defined as the opposition to current flow in a circuit.
To calculate the total resistance, first we need to find the total resistance of the parallel resistor.
For parallel,
R' = (R₁R₂)/(R₁+R₂)............Equation 1Where:
R' = Total resistance of the parallel resistor.
From the question,
Given:
R₁ = 6 ohmsR₂ = 6 ohmsSubstitute these values into equation 1
R' = (6×6)(6+6)R' = 3 ohms.Finally, we combine the effective parallel resistance in series to the single resistance to the the total resistance of the circuit.
Rt = R'+R₃.................. Equation 2Where:
Rt = Total resistance of the circuit.From the question,
R' = 3 ohmsR₃ = 6 ohmsSubstitute these values into equation 2
Rt = 3+6Rt = 9 ohms.Hence, the total resistance of the circuit is 9 ohms.
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What can you do to protect your hands from any hazards on your worksite? Select the 2 answer options that apply. Use your gloves correctly Avoid jobs that could hurt your hands Always wear gloves Inspect your gloves for any damage before wearing
Answer:
"Use your gloves correctly" and "Inspect your gloves for any damage before wearing."
Explanation:
If you don't use your gloves correctly you could risk your hands being infected/burned. If your gloves are damaged they will provide minimum protection but there is still a potential safety hazard.
Answer:
Use your gloves correctly
Inspect your gloves for any damage before wearing
Can someone help me plz!!
A scale on a blue print drawing of a house shows that 666 centimeters represents 333 meters.
What number of centimeters on the blue print represents an actual distance of 272727 meters?
Answer:
545454cm
Explanation:
The blue print drawing of the house shows 666 centimeters, but the real picture of the house is 333 meters. So let the number of cm on the blueprint that represent the distance of 272727 meters be x. Firstly convert the meters to centimeters 666cm = 333m, x=272727m ; then cross multiply, 666cm=33300cm x=27272700cm ; x =(666cm×272727cm)/33300cm =545454cm.
How to create Profit Centric Design Professionals ?
Profit-Centric Design Professionals can be developed by training and educating people on design principles, business strategies, and user research in order to create profitable solutions.
What does profit-centric mean?A profit center is a branch or division of a company that directly contributes to the bottom-line profitability of the corporation. A profit center is treated as a separate business, with revenues recorded separately.
Developing Profit Centric Design Professionals entails design, business, and user research training in order to create profitable solutions for clients.
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The vertical force F acts downward at A on the twomembered frame. Determine the magnitudes of the two components of F directed along the axes of AB and AC. Set F = 500 N. Solve problem 4 with F = 350 lb.
Vector addition parallelogram law :If a force F needs to be broken down into its component parts along the axes b and c, one should start at the head of the force and build lines parallel to the axes until a parallelogram is formed.
Solve the problem ?Vector addition parallelogram law :If a force F needs to be broken down into its component parts along the axes b and c, one should start at the head of the force and build lines parallel to the axes until a parallelogram is formed.
The parallelogram's sides are represented by Fb and Fc.
Finding the force component F AB and F AC applied at diagram point A is our task.
We can employ the law of sines, as shown in the diagram.
The query is unfinished.
The entire question is included as an image in the attachment, and an explanation is given below.
F AB / sin 60 = 500/ sin 75
F AB = 500/0.965*0.866
F AB = 448.7 N
To find F AC
F AC /sin 45 =500 /sin 75
F AC = 500/0.965* 0.7071
F AC = 366.3 N
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Describe the extent of their own responsibility. When to act on their own innitiative to find , clarify and evaluate information , and to whom they should report if they have problems they cannot resolve in the work place
Answer:
whatsthe question choices
Given the binary number 11011011
What is its
Unsigned binary Number ?
Answer:
219
Explanation:
Unsigned binary number (base two) 1101 1011 converted to decimal system (base ten) positive integer = 219.
Answer:219
Explanation:128+64+16+8+2+1
A low-resistance path in a circuit, commonly called a _____ can cause a circuit breaker to trip
A. short circuit
B. closed circuit
C. parallel connection
D. series connection
Answer:
b
Explanation:
Based on your understanding of color’s relationship to wavelength, identify the approximate wavelength of light (nm) emitted by strontium when it was burned in Part C. (No quantitative data was collected for this; you are giving an approximate value only, based on what you observed. ) Strontium emission = _________________nm
Explain your reasoning in full, making sure to cite specific data and observations to support your answer.
Q. 5 What would you conclude about chloride based on your results in the flame tests in Part C?
Q. 6 Place the metal solutions you tested in order of increasing energy based on the colors observed in the flame test; i. E. , A < B < C
The approximate emmission of Crimson is 620 to 700 nm
We would have to identify the wavelength that are emitted by the strontium.
In the strontium test, the observations would be based on the flames that are crimson red.
In the color wheel, the color with the highest wavelength is red at 620 to 700 mm.
3. The original color that is present in the test comes from when metal salt is heated. This usually causes its outer electrons to be excited, falling back to different energy wavelength in the spectrum.
Higher wavelength = loosely bound electron in the outer shell so that less energy is required.
The metals are red when they are burnt. The red color is the one with the highest wave length.
What is a wavelength?This is defined as the existing distance that is found between waveds. These could be sound or electromagnetic waves.
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The system use to complete this drawing called as_____
Answer:
Technical drawing
Explanation:
The drawings reflect what the project specifications are unlikely to cover
Replace the loading by an equivalent force and couple moment acting at point O. Find the equivalent force.
The answer is ,the equivalent force is 600 N and the equivalent couple moment is 900 Nm, both acting at a distance of x = 3/2 m from point O.
What is Equivalent force?Equivalent force is a single force that replaces a system of forces, and has the same effect on an object or structure as the original system of forces. It is used to simplify the analysis of complex systems by reducing them to a single force that is easier to work with.
In this problem, we have a loading consisting of a distributed load of 200 N/m, as shown :
|<--3m-->|
|---------|
| |
| |
200 N/m| |
| |
| |
|---------|
4m
To find the equivalent force and couple moment, we first need to find the location of the force. Since the loading is distributed, the force must act at the centroid of the loading, which is located at the midpoint of the loading:
x = 3/2 m
So the force must act at a distance of x = 3/2 m from point O.
Next, we can find the magnitude of the equivalent force by taking the integral of the loading over the length of the loading and setting it equal to F:
F_equiv = integral of 200 N/m dx from x=0 to x=3
= 200*x |_0^3
= 600 N
Finally, we need to find the direction and magnitude of the equivalent couple moment. Since the force is vertical, the couple moment must be perpendicular to the plane of the diagram. so the equivalent couple moment will be:
M_equiv = F_equiv * x
= 600 N * 3/2 m
= 900 Nm
Therefore, the equivalent force is 600 N and the equivalent couple moment is 900 Nm, both acting at a distance of x = 3/2 m from point O.
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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
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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Brittany has gotten approval to start working on creating the cloud infrastructure for a new application the company wants to begin using. Before she starts creating anything, which of the following might she want to reference.
Brittany has received authorization to begin working on developing the cloud infrastructure for a new application that the business wants to start using. SOP might want to reference it before she starts producing.
Hardware, abstracted resources, storage, and network resources are all included in the phrase "cloud infrastructure," which refers to the elements required for cloud computing. Imagine cloud infrastructure as the resources required to construct a cloud. Cloud infrastructure is required to host applications and services in the cloud.
Each component of the cloud infrastructure is integrated with the others to form a single architecture that supports business operations. Hardware, virtualization, storage, and networking components are frequently found in typical solutions.
Cloud infrastructure is a word that can be used to refer to both the individual technologies and the entire cloud computing system once all the components have been put together.
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What quantity measures the effect of change?
control variable
independent variable
relative variable
dependent variable
Answer:
The Dependent Variable is the Effect, Its value depends on changes from the Independent Variable
Hope this Helps
Two first-order systems are in series, described by:
*****Image shows the two systems******
(a) Develop a transfer function for the two systems in series (an overall transfer
function)
(b) Give the forced, steady state response to the forcing function sin 3�
The overall transfer function for the two systems in series is 2/ s²(2s + 1)(3s + 1).
What is the transfer function?It should be noted that to develop the transfer function for the two systems in series, we need to first express them in terms of transfer functions:
For the first system:
2dy/dt + y = 1
2sY(s) + Y(s) = 1/s
Y(s)(2s + 1) = 1/s
Y(s) = 1/s(2s + 1)
For the second system:
3dy/dt + y = 2
3sY(s) + Y(s) = 2/s
Y(s)(3s + 1) = 2/s
Y(s) = 2/s(3s + 1)
The overall transfer function for the two systems in series is obtained by multiplying their individual transfer functions, since the output of the first system is the input to the second system.
Hence, the overall transfer function is given by:
G(s) = Y(s)/X(s) = (1/s(2s + 1)) * (2/s(3s + 1))
G(s) = 2/ s²(2s + 1)(3s + 1)
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Brainiest 4 Brainiest? (b4b)
huhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answer:
?
Explanation:
what do you mean
Using a small cube as a representative volume of material, illustrate graphically all the six independent components of strains that determine the state of strain in the volume of material that is enclosed by the cube. Indicate in your schematics, the change in shape produced by each of the normal strain and shear strain components.
Answer:
Attached below
Explanation:
Attached below is the schematic diagram of a small cube representing volume of material and all the six independent components of strains that will determine the state of strain
Note : Attached below is a free hand diagram of the cube indicating the six independent components of strains and a screen shot of the change in shape produced by each of the normal strain and shear strain components
( drawn with online tools )
A single direct acting controller used to control space temperature and set up for 72°F setpoint with an 8°F throttling range assigned. The system pressure range is from 3 to 13 psig. Predict the following: (a) Controller PB setting when remote sensors with spans of 50°F, 150°F, and 200°F are used. (b) Controller pressure range. (c) Controller setpoint. (d) Controller output pressure at T = 72°F using the same sensors as in (a). (e) Controller output pressure at T = 76°F. (f) Predict the output pressure of the controller at T = 80°F when th
The controller PB is 0.22, the range of the controller pressure is between 3 to 13 psig, the controller setpoint is at 72°F, and the output pressure at that temperature is 3 psig while the controller output pressure at 76°F is 6 psig
What is Controller SystemsA controller system is a type of feedback system used to regulate the performance of an output device by comparing the output to a desired set point. It uses the difference between the two values (error) to continuously adjust a control input to reduce the error. In simple terms, the controller system monitors, adjusts, and regulates the operations of the output device to achieve a desired result. Common examples of controllers include thermostats, cruise control systems, and PID controllers.
(a) Controller PB setting when remote sensors with spans of 50°F, 150°F, and 200°F are used:
This can be calculated as;
PB = (72°F - 50°F) / (200°F - 50°F) = 0.22
(b) Controller pressure range:
The range of the controller pressure is 3 - 13 psig
(c) Controller setpoint:
The controller set point is 72°F
(d)
The controller output pressure when T = 72°F while using the same sensors as in (a) is 3 psig
(e)
The controller output pressure at T = 76°F is 6.6 psig
(f) To predict the output pressure of the controller when T = 80°F with three remote sensors having spans of 50°F, 150°F, and 200°F are used will be 11.2 psig
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Caught in or -between hazards are related with excavations [trenches]; therefore, the hazard considered to be the greatest risk isCave-insSevering of underground utilitiesEquipment falling into trenches
The correct answer is The hazard considered to be the greatest risk in excavations [trenches] is cave-ins.
This is because cave-ins can occur suddenly and without warning, trapping workers and potentially causing serious injury or death. Severing of underground utilities and equipment falling into trenches are also significant hazards, but they can often be mitigated through proper planning and safety measures.Caught in or -between hazards are related with excavations [trenches]; therefore, the hazard considered to be the greatest risk isCave-insSevering of underground utilitiesEquipment falling into trenches
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what is dbr in om???
The debt-burden ratio (DBR), which includes loan and credit card payments, is the ratio of your total monthly expenses to your gross income.
How is DBR determined?Your debt-burden ratio (DBR), which includes payments for loans and credit cards, is the proportion of your total monthly expenses to your gross income. Banks use this figure to determine your eligibility for loans and credit cards because it reflects your present debts and repayment capacity.While dBm expresses the absolute power level, dB quantifies the ratio between two values. dBm is a dimensionless unit, whereas dB is an absolute unit. While dB is represented in watts and can be relative to various powers, dBm is always relative to 1mW.Your debt-burden ratio (DBR), which includes payments for loans and credit cards, is the proportion of your total monthly expenses to your gross income. Banks use this figure to determine your eligibility for loans and credit cards because it reflects your present debts and repayment capacity.DBR scheduling assists custom manufacturers by locating the resource in a shop that is causing delays, and then builds a plan around that resource to improve the efficiency and performance of the entire shop.To Learn more About dBr, Refer:
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vết nứt tế vi là gì?
real life problems solved in statistics using software engineering
Answer:
Explanation:
Using a machine learning algorithm, Aerosolve’s predictive model takes the optimal price for a rental based on its location
The no-load current of a transformer is 4.0 A at 0.25 p.f. when supplied at 250-V, 50 Hz. The number of turns on the primary winding is 200. Calculate the core loss component
The core loss component is 250W.
What is core loss?The term core loss refers to the total energy lost in the production of heat. Core loss is the loss due to the changing magnetization of the magnetic core, which is the sum of hysteresis loss and eddy current loss.
Core losses have two main causes ohmic or Joule heating caused by eddy currents induced by a changing magnetic field in a conducting medium, and losses due to cyclic reversals of magnetization in ferromagnetic materials, which are proportional to the area of the magnet. field hysteresis loop. Core loss is often measured using the Epstein frame method, which includes a primary and secondary coil.
therefore , by using this formula core loss can be calculated as
W =\(V_{1} I_{0}\)cosФ₀
= 250x 4x 0.25
= 250W.
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A satellite at a distance of 36,000 km from an earth station radiates a power of 10 W from an
antenna with a gain of 25 dB. What is the received power if the effective aperture area of the
receiving antenna is 20 m2?
The received power if the effective aperture area of the receiving antenna is 20 m2 is 177.77 m2.
What is Power?In physics, power is referred to as the rate of energy conversion or transfer over time. The unit of power in the SI system, often known as the International System of Units, is the Watt (W). A single joule per second is one watt.
Power was formerly referred to as activity in some research. A scalar quantity is power. As power is always a function of labor done, it follows that if a person's output varies during the day depending on the time of day, so will his power.
A measure of the pace at which energy is transferred, power is a physical quantity. As a result, it can be described as the pace of job completion relative to time.
Therefore, The received power if the effective aperture area of the receiving antenna is 20 m2 is 177.77 m2.
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write down the tracking error such that the adaptive cruise control objective is satisfied.
Answer:
The most common reason a cruise control stops working is due to a blown fuse or a defective brake pedal switch. It can also be caused by issues with the throttle control system or the ABS. In older cruise control systems it can be caused by a broken vacuum line.