Answer:
Zero 1 = -1
Zero 2 = -3
Pole 1 = 0
Pole 2 = -2
Pole 3 = -4
Pole 4 = -6
Gain = 4
Explanation:
For any given transfer function, the general form is given as
T.F = k [N(s)] ÷ [D(s)]
where k = gain of the transfer function
N(s) is the numerator polynomial of the transfer function whose roots are the zeros of the transfer function.
D(s) is the denominator polynomial of the transfer function whose roots are the poles of the transfer function.
k [N(s)] = 4s² + 16s + 12 = 4[s² + 4s + 3]
it is evident that
Gain = k = 4
N(s) = (s² + 4s + 3) = (s² + s + 3s + 3)
= s(s + 1) + 3 (s + 1) = (s + 1)(s + 3)
The zeros are -1 and -3
D(s) = s⁴ + 12s³ + 44s² + 48s
= s(s³ + 12s² + 44s + 48)
= s(s + 2)(s + 4)(s + 6)
The roots are then, 0, -2, -4 and -6.
Hope this Helps!!!
An ocean thermal energy conversion system is being proposed for electric power generation. Such a system is based on the standard power cycle for which the working fluid is evaporated, passed through a turbine, and subsequently condensed. The system is to be used in very special locations for which the oceanic water temperature near the surface is approximately 300 K, while the temperature at reasonable depths is approximately 280 K. The warmer water is used as a heat source to evaporate the working fluid, while the colder water is used as a heat sink for condensation of the fluid. Consider a power plant that is to generate 2 MW of electricity at an efficiency (electric power output per heat input) of 3%. The evaporator is a heat exchanger consisting of a single shell with many tubes executing two passes. If the working fluid is evaporated at its phase change temperature of 290 K, with ocean water entering at 300 K and leaving at 292 K. 
Required:
a. What is the heat exchanger area required for the evaporator? 
b. What flovw rate must be maintained for the water passing through the evaporator?
Answer:
a) the heat exchanger area required for the evaporator is 11178.236 m²
b) the required flow rate is 1993630.38 kg/s
Explanation:
Given the data in the question;
Water temperature near the surface = 300 K
temperature at reasonable depths ( cold ) = 280 K
power plant output W' = 2 MW
efficiency η = 3% = 0.03
we know that; efficiency η = W'\(_{power-out\) / Q\(_{supplied\)
we substitute
0.03 = 2 / Q\(_{supplied\)
Q\(_{supplied\) = 2 / 0.03
Q\(_{supplied\) = 66.667 MW = 66.667 × 10⁶ Watt
T\(h_{in\) = 300 K T\(h_{out\) = 292 K
T\(c_{in\) = 290 K T\(c_{out\) = 290 K
Now, Heat transfer in evaporator;
Q = UA( LMTD )
so
LMTD = (ΔT₁ - ΔT₂) / ln( ΔT₁ / ΔT₂ )
first we get ΔT₁ and ΔT₂
ΔT₁ = T\(h_{in\) - T\(c_{out\) = 300 - 290 = 10 K
ΔT₂ = T\(h_{out\) - T\(c_{in\) = 292 - 290 = 2 K
so we substitute into our equation;
LMTD = (10 - 2) / ln( 10 / 2 )
LMTD = 8 / ln( 5 )
LMTD = 8 / 1.6094379
LMTD = 4.97
a) Heat transfer Area will be;
Q\(_H\) = UA( LMTD )
we substitute
66.667 × 10⁶ = 1200 × A × 4.97
66.667 × 10⁶ = 5964 × A
A = (66.667 × 10⁶) / 5964
A = 11178.236 m²
Therefore, the heat exchanger area required for the evaporator is 11178.236 m²
b) Flow rate
we know that;
Q\(_H\) = m'C\(_P\)( \(T_{in\) - \(T_{out\) )
specific heat capacity of water Cp = 4.18 (kJ/kg∙°C)
we substitute
66.667 × 10⁶ = m' × 4.18 × ( 300 - 292 )
66.667 × 10⁶ = m' × 33.44
m' = ( 66.667 × 10⁶ ) / 33.44
m' = 1993630.38 kg/s
Therefore, the required flow rate is 1993630.38 kg/s
the total number of species in an area is termed as
Answer:
biodiversity, also called biological diversity, the variety of life found in a place on Earth or, often, the total variety of life on Earth. A common measure of this variety, called species richness, is the count of species in an area.
Explanation:
A particle moving on a straight line has acceleration a = 5-3t, and its velocity is 7 at time t = 2. If s(t) is the distance from, the origin, find s(2)-S(1).
Given acceleration a = 5-3t, and its velocity is 7 at time t = 2, the value of s2 - s1 = 7
How to solve for the value of s2 - s1
We have
= \(\frac{dv}{dt} =v't = 5-3t\\\\\int\limits^a_b {v'(t)} \, dt\)
\(= \int\limits^a_b {(5-3t)} \, dt\)
\(5t - \frac{3t^2}{2} +c\)
v2 = 5x2 - 3x2 + c
= 10-6+c
= 4+c
\(s(t) = \frac{5t^2}{2} -\frac{t^3}{2} +3t + c\)
S2 - S1
\(=(5*\frac{4}{2} -\frac{8}{2} +3*2*c)-(\frac{5}{2} *1^2-\frac{1^2}{2} +3*1*c)\)
= 6 + 6+c - 2+3+c
12+c-5+c = 0
7 = c
Read more on acceleration here: https://brainly.com/question/605631
What are the two tools used to create an HTML code? Name one example of each tool.
Answer:
please mark me as BRAINLIEST
Explanation:
There are so many software packages available to develop HTML. The software packages can be grouped into two main categories: text-based (or code-based) editors.
...
WYSIWYG editors
Macromedia Dreamweaver.
Microsoft FrontPage.
Adobe GoLive.
A student made a table comparing erosion caused by glaciers and hurricanes. Is the table correct?
Glaciers Hurricanes
The movement of glaciers causes rocks to move
Occurs slowly The strong winds and waves common to hurricanes causes sand to move
Occurs quickly
 Yes, because both forms of erosion involve the movement of rocks and soil.
 No, because erosion always occurs quickly.
 Yes, because erosion is a process that only involves water.
 No, because only hurricanes use their movement to cause rocks and soil to move.
Answer: A. yes
Explanation:
3. The National Fire Protection Association (NFIPA) 704 Diamond Label system helps firefighters and employees
easily recognize the hazardous substances stored on the site.
A) © True
B) O False
The National Fire Protection Association (NFIPA) 704 Diamond Label system helps firefighters and employees easily recognize the hazardous substances stored on the site is A) True.
What is the statement about?The NFPA 704 Diamond Label is a standardized system used to identify the level of hazard posed by various substances. The label consists of a diamond-shaped sign with four sections, each color-coded to indicate the degree of hazard posed by the substance.
The system helps firefighters and other first responders quickly identify the potential risks posed by hazardous materials, which can help them make informed decisions and take appropriate safety measures.
Therefore, By providing clear and easily recognizable information about the hazards posed by various substances, the NFPA 704 Diamond Label system helps to promote safety and reduce the risk of accidents and incidents involving hazardous materials.
Learn more about firefighters from
https://brainly.com/question/25483991
#SPJ1
The given statement is true about the fact that the Diamond Label system helps firefighters and employees easily recognize the hazardous substances stored on the site.
What is NFIPA?The Standard System for the Identification of the Hazards of Materials for Emergency Response is a safety standard that describes how hazardous materials are identified for emergency responders.
The National Fire Protection Association (NFIPA) 704 makes it simple for employees and firemen to identify the many types of hazardous materials housed on the property.
The National Fire Protection Association publishes it to complement the labeling system for emergency responders and to be useful to those operating under regular circumstances.
Read more about fire protection here:
https://brainly.com/question/29634607
#SPJ1
A pinion and gear pair is used to transmit a power of 5000 W. The teeth numbers of pinion 
and gear are 20 and 50. The module is 5 mm, the pressure angle is 20o
and the face width is 45 mm. The 
rotational speed of pinion is 300 rev/min. Both the pinion and the gear material are Nitralloy 135 Grade2 with a hardness of 277 Brinell. The quality standard number Qv is 5 and installation is open gearing 
quality. Find the AGMA bending and contact stresses and the corresponding factors of safety for a 
pinion life of 109
cycles and a reliability of 0.98
                                                Answer:
mark me as a brainleast
Explanation:
209781
Draw a sinusoidal signal and illustrate how quantization and sampling is handled by 
using relevant grids.
An ordinary egg with a mass of 0.1 kg and a specific heat of 3.32 kJ/kg· 0C is dropped into boiling water at 95 0C. If the initial temperature of the egg is 5 0C, the maximum amount of heat transfer to the egg, correct to 1dp, is
Answer:
29.9
Explanation:
data
mass(m)= 0.1kg, c=3.32KJ/kg, final temperature= 95, initial temperature= 5
heat transferred Q= mc (T2-T1)
=0.1 ×3.32 ×(95-5)= 29.88
Q= 29.9KJ
NOTE; The x was use as multiplication sign
A settling tank has an influent rate of 0.6 mgd. It is 12 ft deep and has a surface area of 8000 ft². What is the hydraulic retention time?
Answer: hydraulic retention time,τ=28.67 hours
Explanation:
The hydraulic retention time τ (tau), is given as The volume of the settling tank(V) divided by the influent flowrate(Q)
τ =V/Q
But Volume is not known and is given as
Volume = surface area x depth of the tank
= 8000 ft² X 12 ft
= 96,000 ft³
Also, the influent flow rate is in mgd ( million gallons per day), we change it to ft³/sec so as to be in same unit with the volume in ft³
1 million gallons/day = 1.5472286365101 cubic feet/second
0.6mgd = 1.5472286365101 cubic feet/second x 0.6
=0.93cubic feet/second
τ =V/Q
96,000 ft³/0.93 ft³/sec
τ=103,225.8 secs
changing to hours
103,225.8 /3600 =28.67 hours
The hydraulic retention time =28.67 hours
The  number-average molecular weight of a poly (styrene-butadiene)  alternating copolymer is 1,350,000 g/mol. What is the average number of  styrene and butadiene repeat units per molecule.    
a) 6,806                                                 
b) 6,944                                                 
c) 4,801                                                 
d) 8,544   
To put out a class D metal fire, you must _______ the fire.
To put out a class D metal fire, you must smother the fire and eliminate the oxygen element in the fire.
What is a Class D fire?A class D fire is a type of fire that cannot be extinguished by water. This is because adding water to it reacts with other elements in the fire intensifying the fire even more.
Smothering in this context involves adding a solution like carbon dioxide (CO2) into the fire, this results in a reduction of oxygen in the atmosphere surrounding the class D fire.
By so doing, smothering the fire eliminates the oxygen element in the fire, thereby extinguishing the fire.
You can learn more about extinguishing fires here https://brainly.in/question/760550
#SPJ1
Help me!!
Within the processes of a power plant, combustion product gases are available at 430 ºC. It is required to take advantage of the heat of these gases and it is proposed to size an economizer to heat pressurized water from 70ºC to 180ºC.
It is known that there is 8 kg/s of water with Cp=4260 J/kg.K. The gases have a flow of 30 kg/s and Cp=1100 J/kg.K. Calculate:
a) the heat that can be transferred from the gases to the water, in kW.
b) the outlet temperature of the combustion gases, in ºC.
b) the average logarithmic difference of temperatures of the economizer, in ºC.
c) the required heat transfer area in m2, for a counterflow configuration if the overall heat transfer coefficient is 60 W/m2 K.
d) If you plan to use a coil of tubes 4 m long and 15 cm in diameter, calculate the number of tubes needed for the economizer.
Answer: System Consists Of 1 Kg Of CO2 (Cp = 46.4 J Moll K:') Gas Initially At 1 Bar And 300K. The System Undergo
Explanation:
Air flows adiabatically between two sections in a constant
area pipe. At upstream section (1), p0,1 100 psia, T0,1 600
R, and Ma1 0.5. At downstream section (2), the flow is choked.
Estimate the magnitude of the force per unit cross-sectional area
exerted by the inside wall of the pipe on the fluid between sections
(1) and (2).
The magnitude of the force per unit cross-sectional area exerted by the inside wall of the pipe on the fluid between sections (1) and (2) is approximately 833.33 lbf/ft^2.
Since the flow is choked at section (2), the Mach number at this location is equal to 1. From the conservation equations for adiabatic, steady, one-dimensional flow, the static pressure at section (2) can be calculated as p0,2 = p0,1 * (2/(gamma + 1))^(-gamma/(gamma-1)) = 38.53 psia, where gamma is the ratio of specific heats.
Using the definition of the Mach number, the static temperature at section (2) can be calculated as T0,2 = T0,1 / (1 + (gamma-1)/2 * Ma1^2) = 365.44R. Assuming ideal gas behavior, the density of the fluid at section (2) can be calculated as rho2 = p0,2 / (R * T0,2) = 0.044 lbm/ft^3, where R is the gas constant.
From the conservation of momentum equation for one-dimensional flow, the force per unit cross-sectional area exerted by the inside wall of the pipe on the fluid between sections (1) and (2) can be calculated as F/A = (p0,1 - p0,2) / (gamma * R * T0,1) * A2 / A1 = 833.33 lbf/ft^2, where A2 / A1 is the area ratio of sections (2) and (1), respectively.
For more questions like Adiabatic click the link below:
https://brainly.com/question/13002309
#SPJ11
what do you think the author is trying to express to society during his time of period through this story? in the open window
which of the following is a function of a safety device
Answer:
what are the options available?
What safety concerns must be addressed before
welding on a large assembly outside of a welding
booth?
Answer:
the clothing you wear, what's in the air (gases), surrounding and weather
a(n) is a support system that is completely concealed in the wall and supports the load of the fixture by means of a suitable face plate and base support firmly anchored to the floor.
Carrier fitting is used to be a support system to complete secret in the wall and supports the load of the fixture by means of a suitable feature plate and base support firmly tie up to the floor.
Carrier means the term used to create a pipe, which carries a liquid or gas from its source to its destination and is laid underground, it is also used to support system. The drain in the conveyance pipe will discharge groundwater into the pipe or contaminate the environment with the product flowing in the pipe. The advantage of this is that it offers options to meet installation codes and demands while allowing flexibility to design a functional and compact plumbing drainage system.
Learn more about carrier fitting at https://brainly.com/question/28119674
#SPJ4
QUESTION 1
1.1. Explain why it is expected that two soil samples separated by 50 kilometers will
have different mineral compositions and particle size distributions.
(4)
1.2. Your geotechnical laboratory team has been tasked with identifying two different
types of rocks for a project in Free State. Discuss briefly the three physical
properties you will utilize to visually identify the rock type.
[13 marks]
(9)
Due to variation in environmental and geological factors, two soil samples from 50 kilometers are expected to have different mineral composition.
Why will two soil samples separated by a distance expected to have different mineral composition1. Two soil samples separated by 50 kilometers are expected to have different mineral compositions and particle size distributions due to variations in geological and environmental factors. Soil is formed through the weathering and breakdown of rocks, which can differ in composition and characteristics depending on the type of rock and geological history of the area. Environmental factors such as climate, topography, and vegetation can also affect soil formation and characteristics. Therefore, the soil samples in two different areas can have different mineral compositions and particle size distributions depending on the local geology and environment.
2. The three physical properties that can be utilized to visually identify different types of rocks are color, texture, and grain size. Color can indicate the presence of certain minerals in the rock, which can help identify the type of rock. Texture refers to the size and arrangement of mineral grains in the rock, which can vary depending on the type of rock and how it was formed. Grain size can also help identify the type of rock, as different rock types have characteristic grain sizes that can be observed with the ordinary eye or under a microscope. Other physical properties that can be used to identify rocks include hardness, density, and porosity.
Learn more on soil sample here;
https://brainly.com/question/23744269
#SPJ1
Do not ________________ a tool. *
-clean up
-force
-stop
-unplug
Design a ductile iron pumping main carrying a discharge of 0.35 m3/s over a distance of 4 km. The elevation of the pumping station is 140 m and that of the exit point is 150 m. The required terminal head is 10 m. Estimate the pipe diameter and pumping head using the explicit design procedure g
Answer:
\(D=0.41m\)
Explanation:
From the question we are told that:
Discharge rate \(V_r=0.35 m3/s\)
Distance \(d=4km\)
Elevation of the pumping station \(h_p= 140 m\)
Elevation of the Exit point \(h_e= 150 m\)
Generally the Steady Flow Energy Equation SFEE is mathematically given by
\(h_p=h_e+h\)
With
\(P_1-P_2\)
And
\(V_1=V-2\)
Therefore
\(h=140-150\)
\(h=10\)
Generally h is give as
\(h=\frac{0.5LV^2}{2gD}\)
\(h=\frac{8Q^2fL}{\pi^2 gD^5}\)
Therefore
\(10=\frac{8Q^2fL}{\pi^2 gD^5}\)
\(D=^5\frac{8*(0.35)^2*0.003*4000}{3.142^2*9.81*10}\)
\(D=0.41m\)
1. Use the charges to create an electric dipole with a horizontal axis by placing a positive and a negative charge (equal in magnitude but opposite in sign) 4 meters away from each other. (Axis of a dipole is a line passing through both charges.) Place positive charge on the left and negative on the right. 
2. Describe the field at the following locations, and explain these results using the superposition principle: 
on the horizontal axis to the right of the dipole; 
on the horizontal axis between charges; 
on the horizontal axis to the left of the charges; 
on the vertical line bisecting the line segment connecting the charges, above the dipole; 
on the vertical line bisecting the line segment connecting the charges, below the dipole; 
is there a location where the electric field is exactly zero? 
Remove the negative charge and replace it with equal in magnitude positive charge. 
3. Observe the change in electric field, and again describe the field at the following locations, explaining these results using the superposition principle: 
on the horizontal axis to the right of the charges; 
on the horizontal axis between charges; 
on the horizontal axis to the left of the charges; 
on the vertical line bisecting the line segment connecting the charges, above the charges; 
on the vertical line bisecting the line segment connecting the charges, below the charges; 
is there a location where the electric field is exactly zero?
Answer:
2)
a) to the right of the dipole E_total = kq [1 / (r + a)² - 1 / r²]
b)To the left of the dipole E_total = - k q [1 / r² - 1 / (r + a)²]
c) at a point between the dipole, that is -a <x <a
E_total = kq [1 / x² + 1 / (2a-x)²]
d) on the vertical line at the midpoint of the dipole (x = 0)
E_toal = 2 kq 1 / (a + y)² cos θ
Explanation:
2) they ask us for the electric field in different positions between the dipole and a point of interest. Using the principle of superposition.
This principle states that we can analyze the field created by each charge separately and add its value and this will be the field at that point
Let's analyze each point separately.
The test charge is a positive charge and in the reference frame it is at the midpoint between the two charges.
a) to the right of the dipole
The electric charge creates an outgoing field, to the right, but as it is further away the field is of less intensity
E₊ = k q / (r + a)²
where 2a is the distance between the charges of the dipole and the field is to the right
the negative charge creates an incoming field of magnitude
E₋ = -k q / r²
The field is to the left
therefore the total field is the sum of these two fields
E_total = E₊ + E₋
E_total = kq [1 / (r + a)² - 1 / r²]
we can see that the field to the right of the dipole is incoming and of magnitude more similar to the field of the negative charge as the distance increases.
b) To the left of the dipole
The result is similar to the previous one by the opposite sign, since the closest charge is the positive one
E₊ is to the left and E₋ is to the right
E_total = - k q [1 / r² - 1 / (r + a)²]
We see that this field is also directed to the left
c) at a point between the dipole, that is -a <x <a
In this case the E₊ field points to the right and the E₋ field points to the right
E₊ = k q 1 / x²
E₋ = k q 1 / (2a-x)²
E_total = kq [1 / x² + 1 / (2a-x)²]
in this case the field points to the right
d) on the vertical line at the midpoint of the dipole (x = 0)
In this case the E₊ field points in the direction of the positive charge and the test charge
in E₋ field the ni is between the test charge and the negative charge,
the resultant of a horizontal field in zirconium on the x axis (where the negative charge is)
E₊ = kq 1 / (a + y) 2
E₋ = kp 1 / (a + y) 2
E_total = E₊ₓ + E_{-x}
E_toal = 2 kq 1 / (a + y)² cos θ
e) same as the previous part, but on the negative side
E_toal = 2 kq 1 / (a + y)² cos θ
When analyzing the previous answer there is no point where the field is zero
The different configurations are outlined in the attached
3) We are asked to repeat part 2 changing the negative charge for a positive one, so in this case the two charges are positive
a) to the right
in this case the two field goes to the right
E_total = kq [1 / (r + a)² + 1 / r²]
b) to the left
E_total = - kq [1 / (r + a)² + 1 / r²]
c) between the two charges
E₊ goes to the right
E₋ goes to the left
E_total = kq [1 / x² - 1 / (2a-x)²]
d) between vertical line at x = 0
E₊ salient between test charge and positive charge
E_total = 2 kq 1 / (a + y)² sin θ
In this configuration at the point between the two charges the field is zero
                                                            Find and write the mathematical problem formulation of shortest path problem
Discuss the relation between the force exerted and pressure.
Answer:
When a force is exerted on an object it can change the object's speed, direction of movement or shape. Pressure is a measure of how much force is acting upon an area. Pressure can be found using the equation pressure = force / area. Therefore, a force acting over a smaller area will create more pressure
Explanation:
hope it will become helpful to you ☺️☺️
Now, you get a turn to practice writing a short program in Scratch. Try to re-create the program that was shown that turns the sprite in a circle. After you have completed that activity, see if you can make one of the improvements suggested. For example, you can try adding a sound. If you run into problems, think about some of the creative problem-solving techniques that were discussed.
When complete, briefly comment on challenges or breakthroughs you encountered while completing the guided practice activity.
Pls help im giving 100 points for this i have this due in minutes
Answer:
u need to plan it out
Explanation:
u need to plan it out
Answer:
use the turn 1 degrees option and put a repeat loop on it
Explanation:
u can add sound in ur loop
Pls answer and I will give a like!
                                                Answer:
a
Explanation:
Which option identifies the section of the project charter represented in the following scenario?
For the past five years, students at New School have been in desperate need of a playground. The closest playground is a mile away, at Safe
Park. Our project is to design a playground for the students and to find funding in the community to support it.
O executive summary
O constraints
O project objectives
O project development cycle
Answer:
Executive Summary
Explanation:
It is Executive Summary because I used process of elimination. Constraints are set backs. Project objectives are the goals that you want to achieve. Project development cycle are basically the steps that will be used.
thermal energy measured by?
Answer:
Thermal energy is measured using a thermometer denominated in Fahrenheit, Celsius and Kelvin
Technician A says that collapsible steering columns may use a pyrotechnic charge. Technician B says that collapsible brake pedals assemblies reduce the risk of trapping the drivers feet. Who is right
Answer:
I think A is correct
The two technicians are right in their given assessment about the use of collapsible steering columns and collapsible brake pedals to reduce the risk of trapping the driver's feet.
What is Safe Driving?This refers to the vehicular movement from one point to another, obeying traffic rules, and respect for other drivers and pedestrians.
Hence, we can see that with regards to safe driving, the opinions of both Technicians A and B are both correct as they both want the safety of the car and the driver.
Read more about safe driving here:
https://brainly.com/question/26084890
#SPj2
What are the limitations of portable computers?
You can read about it here https://www.cornellcollege.edu/information-technology/policies/technology-policies/limitations-of-laptops.shtml