The root locus method can be used to determine the settling time. The damping ratio and natural frequency affect settling time. The root locus method can be used to derive these values.
What is the third order system's settling time formula?According to what I've read, this is a third-order system, and the settling time can be determined using the formula Ta=3n (correct me if I'm wrong), where n is the natural frequency and is the damping factor.
How is peak overshoot determined?The amplitude of the first peak corresponds to the overshoot, which is the response's greatest overshoot of the steady-state value. A common way to express the overshoot is as a percentage of the steady-state value
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Find the slope of the line containing the points (6, 4) and (6,8).
A. -1
B. 1
C. 0
D. undefined
Climate change isn't just about temperature! The amount of rain and snow (precipitation) in certain regions of the U.S. is also changing. In some areas, the amount of precipitation has decreased. Scientist predict that these dry areas will get even drier in the future.
If the warmer areas on the map also become drier, what will happen to wildfire risk?
Drier conditions will likely result in fewer wildfires
Drier conditions will likely result in more wildfires
No difference
If I had to guess, I'd say the answer is
Drier conditions will likely result in more wildfires
Studies show that warmer and drier areas will double in wildfires by 2050.
Calculate the magnitude of the velocity and the θ angular direction of the block and the bullet together when the 50 g bullet moves to sky at a speed of 600 m/s and hits a sliding 4 kg block with a speed of 12 m/s in a direction with 30o with respect to ground.
Answer:
Magnitude of the velocity = 16.82 m/s
Angular direction, θ = 52.41°
Explanation:
As given ,
mass of bullet, m₁= 50g = 0.05 kg
speed of bullet , u₁ = 600 m/s
mass of the block , m₂ = 4 kg
speed of the block before collision , u₂ = 12 m/s
direction , θ = 30°
Now,
Assume that the combined velocity of bullet and block after collision = v
and the direction = θ
Now, from the conservation of momentum in x - direction :
m₁ u₁ + m₂ u₂ = ( m₁ + m₂ ) vₓ
where v = final velocity after collision
u₁ = initial velocity of bullet before collision = 0
m₁ = mass of the bullet before collision = 0.05 kg
u₂ = velocity of block before collision = 12 cos(30° )
m₂ = mass of block before collision
m₁ + m₂ = combined mass of bullet and block after collision = 0.05 + 4
∴ we get
0.05 (0) + 4(12 cos(30° ) ) = ( 0.05 + 4 ) vₓ
⇒ 0 + 4(6√3) = 4.05 vₓ
⇒24√3 = 4.05 vₓ
⇒vₓ = 10.26 m/s
Now, from the conservation of momentum in y - direction :
m₁ u₁ + m₂ u₂ = ( m₁ + m₂ ) \(v_{y}\)
where v = final velocity after collision
u₁= initial velocity of bullet before collision = 600
m₁ = mass of the bullet before collision = 0.05 kg
u₂ = velocity of block before collision = 12 sin(30° )
m₂= mass of block before collision
m₁+ m₂= combined mass of bullet and block after collision = 0.05 + 4
∴ we get
0.05 (600) + 4(12 sin(30° ) ) = ( 0.05 + 4 ) \(v_{y}\)
⇒ 30 + 4(6) = 4.05 \(v_{y}\)
⇒30 +24 = 4.05 \(v_{y}\)
⇒54 = 4.05 \(v_{y}\)
⇒\(v_{y}\) = 13.33 m/s
Now, the magnitude of the velocity = √vₓ² + \(v_{y}\)² = √(10.26)² + (13.33)²
= √105.26 + 177.68
= √282.95 = 16.82
The angular direction, θ = \(tan^{-1}\)(\(\frac{v_{y} }{v_{x} }\)) = \(tan^{-1}\)(\(\frac{13.33}{10.26}\)) = \(tan^{-1}\)(1.299) = 52.41°
Durante el segundo trimestre de 2001, Tiger Woods fue el golfista que más dinero ganó en el PGATour. Sus ganancias sumaron un total de $5517777. De los 10 principales golfistas mejor remunerados, siete usaron pelotas de golf de la marca Titleist (sitio web de PGATour). Suponga que seleccionan al azar a dos de los 10 principales golfistas que ganan más dinero. Determine:
Answer: a. 0.4667
b. 0.4667 and C 0.0667
Explanation:
Given Data:
N = population size (10)
n = random selection (2)
r = number of observations = 7
Therefore
f(y) = ( r/y ) ( N - r / n - y ) / ( N /n )
When y = 1
f(1) = ( 7/1 ) ( 10 - 7 / 2 -1 ) / ( 10/2 )
= 7 / 15
= 0.4667
When y = 2
f(2) = ( 7/2 ) ( 10 - 7 / 2 -2 ) / ( 10/2 )
= 7 / 15
= 0.4667
When y = 0
f(0) = ( 7/0 ) ( 10 - 7 / 2 -0) / ( 10/2 )
= 1 / 15
= 0.0667
The encoding technique used to store negative numbers in the computer's memory is called OA) two's complement OB) Unicode OC) ASCII O D) floating-point notation Question 14 (1 point) validation loop is sometimes called an error trap or an error handler. A(n) Question 15 (1 point) The specifier is a special set of characters that specify how a value should be formatted.
The encoding technique used to store negative numbers in the computer's memory is two's complement, a validation loop is sometimes called an error trap or an error handler.
The encoding technique used to store negative numbers in the computer's memory is called two's complement. The Two's Complement is the most commonly used method of encoding positive and negative integers in computer memory, arithmetic operations and microprocessors. It is also known as radix complement or radix complement complement. Two's complement is a method of calculating the binary equivalent of a negative number.
Two's complement encoding is the most commonly used encoding method for signed binary numbers.Validation loop is sometimes called an error trap or an error handler. A Validation Loop is a type of while loop that can be used in a program to validate a user's input. When a user enters data into a program, there is always a possibility that the data will be invalid. This is where the validation loop comes in.
The validation loop is designed to test the input data to make sure that it meets certain criteria. If the data does not meet the criteria, the loop will continue to prompt the user until they enter valid data.The specifier is a special set of characters that specify how a value should be formatted. The specifier is used in computer programming to specify how a value should be formatted. The specifier tells the computer how many decimal places to display, whether to use scientific notation, whether to display the value in hexadecimal, and other formatting options.
The specifier is an important part of computer programming because it allows programmers to control how data is displayed to users. In summary, the encoding technique used to store negative numbers in the computer's memory is two's complement, a validation loop is sometimes called an error trap or an error handler, and the specifier is a special set of characters that specify how a value should be formatted.
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the most common connection method for the framework of a house is: gluing staping nailing screwing
Answer:Nailing
Explanation:I hope
What systems can you think of that are open-loop systems? (Provide three examples) Would they be improved if feedback was added to the loop? Why or why not?
Answer:
what do we do
Explanation:
You have a 12-inch PVC water main that is 850 feet long flowing at 5.6 cfs. Point A is at an elevation of 750 ft. Point B is at an elevation of 765 ft. If the pressure in a water main at Point A is 85 psi, what is the pressure at point B, in psi? (5 points)
Known :
D = 12 in = 1 ft
L = 850 ft
Q = 5.6 cfs
hA = 750 ft
hB = 765 ft
PA = 85 psi = 12240 lb/ft²
Solution :
A = πD² / 4 = π(1²) / 4
A = 0.785 ft²
Velocity of water :
U = Q / A = 5.6 / 0.785
U = 7.134 ft/s
Friction loss due to pipe length :
Re = UD / v = (7.134)(1) / (0.511 × 10^(-5))
Re = 1.4 × 10⁶
(From Moody Chart, We Get f = 0.015)
hf = f(L / d)(U² / 2g) = 0.015(850 / 1)((7.134²) / 2(32.2))
hf = 10 ft
PA + γhA = PB + γhB + γhf
PB = PA + γ(hA - hB - hf)
PB = 12240 + (62.4)(750 - 765 - 10)
PB = 10680 lb/ft²
PB = 74.167 psi
Jumbo Eggs are the most commonly used size egg when making a recipe because they are the highest produced size egg?
True or
False
Answer:
True
Explanation:
Many chickens lay eggs of that size and eggs from chickens are the most commonly used
A plant engineer wishes to know which of two types of lightbulbs should be used to light a warehouse. The bulbs that are currently used cost $41.1 per bulb and last 14600 hours before burning out. The new bulb (at $52.3 per bulb) provides the same amount of light and consumes the same amount of energy, but it lasts twice as long. The labor cost to change a bulb is $19. The lights are on 19 hours a day, 365 days a year. (Assume that the firm's marginal tax rate is 25%.) If the firm's MARR is 16%, what is the maximum price (per bulb) the engineer should be willing to pay to switch to the new bulb? Round the service life of the old bulb to the nearest whole number.
We have that the new bulb 's Price is P is mathematically given as
P= $100.68
Bulb PriceGenerally the Arithmetic equation for the life time of new bulb is mathematically given as
life time = old bulb life / (usage per 24 x 365)
Therefore
L= 14,600 / (19 x 365)
L= 2.10 years
Where
old bulb=(2 x 45.9) (1 + 15/100)2.10 x 2 + 16
Old bulb=$181.11
After tax
tax = 181.11(1 - 40%)
tax= $108.66
Therefore
the new bulb 's Price is P
108.66 = P x (1.7986) x (0.6)
P= $100.68
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Report of invertor to convert 12 volt to 220 volt.
A heat engine is a device able to transform work into heat.
a. True
b. False
Answer:
Option B: False
Explanation:
A heat engine is a device which operates in a manner that heat is converted into mechanical work.
A simple example of a heat engine is a drinking bird. The oscillatory motion of the drinking bird is as a result of the thermal expansion and contraction of a chemical compound in its beak, which creates an imbalance in its position of equilibrium. This causes it to oscillate.
Heat engines usually work by extracting heat once there is a temperature gradient available in the system and using it to perform work. Another good example is the internal combustion engine. It extracts heat from the explosion of the burning fuels and uses it to power the car.
T/F we do not use the salvage value in the calculation of depreciation charge using db and soyd.
True, when calculating depreciation using the declining balance (DB) method and the sum-of-the-years' digits (SOYD) method, the salvage value is not directly used in the calculation of the depreciation charge.
In the declining balance method, depreciation is calculated by applying a constant depreciation rate to the net book value of the asset (cost minus accumulated depreciation). The depreciation charge decreases over time, as the net book value decreases, but the salvage value is not directly factored into the calculation. In the sum-of-the-years' digits method, depreciation is determined by multiplying the asset's cost by a fraction, with the numerator being the remaining useful life of the asset, and the denominator being the sum of the years' digits. The salvage value is not used in the calculation of the depreciation charge. However, it is essential to monitor the accumulated depreciation to ensure that the asset's net book value does not fall below the salvage value.
Both the DB and SOYD methods are accelerated depreciation methods that result in higher depreciation expenses in the early years of an asset's life, reflecting the idea that an asset's value declines more rapidly in its initial years. Although the salvage value is not directly used in the calculations, it is essential for determining the asset's net book value and ensuring it doesn't fall below the salvage value.
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The fuel reduction zone, "Reduced Fuel Zone", is the remaining __________ and will depend on the steepness of your property and the vegetation.
Select one: a. 70 feet (or to property line) b. 450 feet (or to property line) c. 60 feet (or to property line) d. 30 feet (or to property line)
The fuel reduction zone, "Reduced Fuel Zone", is the remaining 30 feet (or to property line) and will depend on the steepness of your property and the vegetation. The correct answer is option d. 30 feet (or to property line).
Reduced Fuel Zones (RFZs) are areas of vegetation and fuel that have been managed or modified to reduce their flammability and to create fuel breaks. The objective is to remove or minimize the fuel load, as well as the continuity and distribution of fuel throughout the landscape.RFZs assist firefighters in controlling fires, particularly those that are moving rapidly, because they allow for a reduction in the fire's intensity, speed, and potential to spread. In fire suppression operations, RFZs are frequently used as safety zones for firefighters and as areas where strategic fire control operations, such as burning operations, can be conducted to bring the fire under control.In conclusion, the Reduced Fuel Zone (RFZ) is the remaining 30 feet (or to property line) and will depend on the steepness of your property and the vegetation.
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Help, quick please. I need help with my engineering word problem
Answer:
a
Explanation:
A series resistive circuit has two resistors. R1 is 570 ohms and R2 is 560 ohms.
The total circuit current is 17.9 milliamps.
Find the voltage drop across R1 in volts.
Answer:
10.203 Volts
Explanation:
For this problem, we need to understand that a series resistive circuit is simply a circuit with some type of voltage source and some resistors, in this case, R1 and R2.
First, we need to find the voltage in the circuit. To do this, we need to find the total resistance of the circuit. When two resistors are in series, you sum the resistance. So we can say the following:
R_Total = R1 + R2
R_Total = 570 Ω + 560 Ω
R_Total = 1130 Ω
Now that we have R_Total for the circuit, we can find the voltage of the circuit by using Ohm's law, V = IR.
V_Total = I_Total * R_Total
V_Total = 17.9 mA * 1130 Ω
V_Total = 20.227 V
Now that we have V_Total, we can find the voltage drop across each resistor by using Ohm's law once more. Note, that since our circuit is series, both resistors will have the same current (I.e., I_Total = I_1 = I_2).
V_Total = V_1 + V_2
V_Total = V_1 + I_2*R2
V_Total - I_2*R2 = V_1
20.227 V - (17.9 mA * 560 Ω) = V_1
20.227 V - (10.024 V) = V_1
10.203 V = V_1
Hence, the voltage drop across R1 is 10.203 Volts.
Cheers.
Brainiest 4 Brainiest? (b4b)
huhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answer:
?
Explanation:
what do you mean
For convenience, one form of sodium hydroxide that is sold commercially is the saturated solution. This solution is M, which is approximately by mass sodium hydroxide. What volume of this solution would be needed to prepare L of M solution
Sodium hydroxide, NaOH, is a very useful compound in the chemical industry. Sodium hydroxide is used to make soap, detergent, paper, and many other products. It is also used to clean drains, dissolve grease, and other materials.
For commercial convenience, one form of sodium hydroxide that is sold commercially is the saturated solution. This solution is M, which is approximately by mass sodium hydroxide.
To prepare L of M solution, we must first find the number of moles of NaOH that will be required.
Then we will find the volume of the saturated solution that is required to make this solution.
To find the number of moles of NaOH that will be required, we will use the formula:
\(N = C x V\)Where, N = number of moles of NaOH, C = concentration of the solution, and V = volume of the solution.
In this case, C = M, which is the concentration of the solution that we want to make. And V = L, which is the volume of the solution that we want to make.
So,
\(N = M x LV = N / MC = 40% = 40 / 100 = 0.4 M\)
Volume of the saturated solution required to prepare the M solution:
\(V = N / MV = 4.69 L\)
We will require approximately \(4.69 L\)of the saturated solution to prepare L of M solution.
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A moist rock mass is characterized by the following parameters: joint water pressure is nill; point load index is 3MPa; Joint spacing is 0.5m; and RQD is 55%; Joint condition is open joints filled with 5mm gouge. Classify the rock mass according to RMR method.
The RMR value is 413.15, which indicates that the rock mass is of excellent quality.
What is RMR method?The most important geologic criteria are combined by RMR, which depicts them as a single, comprehensive indicator of rock mass quality.
Based on the given parameters, we can use the Rock Mass Rating (RMR) method to classify the rock mass.
The RMR value is given by the formula:
RMR = 70Q + 10G + 5F + 8L + 7S - 3W
Using the given parameters, we can calculate the RMR value as follows:
Q = 10 x \((RQD/10)^{1/2\) x (Jn + Ja + Jw + Jr + Jsr)
Where Jn, Ja, Jw, Jr, and Jsr are the joint sets orientations, number, water pressure, roughness, and spacing rating, respectively.
Since we do not have information about the joint orientations and roughness, we can assume that they have a neutral effect on the RMR value, which means that Jn=Ja=Jr=1 and Jw=Jsr=0.5.
Therefore,
Q = 10 x\((55/10)^{1/2\) x (1 + 1 + 0.5 + 1 + 0.5) = 57.45
G = 0 (since joint water pressure is nil)
F = 5 (since the joint condition is open joints filled with gouge)
L = 8 - 2.6 x log10(0.5) = 5.44
S = 7 (since the joint condition is filled with 5mm gouge)
W = 0 (since joint water pressure is nil)
Thus, RMR = 7057.45 + 100 + 55 + 85.44 + 77 - 30 = 413.15
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The average value of a signal, x(t) is given by: 10 A = _lim 2x(1)dt T-10 Let xe (t) be the even part and xo(t) the odd part of x(t)- What is the solution for xo(l)? O a) A Ob) x(0) Oco
Previous question
Given that the average value of a signal, x(t) is given by: 10A = _lim2x(1)dt T-10. Let xe(t) be the even part and xo(t) the odd part of x(t) -
The even and odd parts of x(t) are defined as follows.xe(t) = x(t)+x(-t)/2xo(t) = x(t)–x(-t)/2Now, we are required to find the value of xo(l).Using the given formula, the average value of a signal, x(t) can be written as10A = _lim2x(1)dt T-10Using the value of the odd part of x(t), we have10A = _lim2xo(1)dt T-10 Integrating by parts, we get2xo(t) = t*Sin(t) + Cos(t)Since xo(t) is an odd function, it will have symmetry around the origin. Therefore,xo(l) = 0Hence, the correct option is (c) 0.
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what can be added to fcaw electrode fluxes to affect the arc resistance
Adding certain materials to face electrode fluxes can significantly affect the arc resistance.
How can the arc resistance be influenced by modifying the composition of face electrode fluxes?When it comes to face electrode fluxes, adding a flux coating can significantly influence the arc resistance. Flux coatings are commonly applied to welding electrodes to improve their performance and enhance the quality of the weld. These coatings are composed of various materials that serve different purposes, such as stabilizing the arc, reducing spatter, protecting against oxidation, and controlling the penetration depth.
Flux coatings contribute to arc resistance by creating a more stable arc during the welding process. They contain substances that generate gases or other components when heated, forming a protective atmosphere around the arc. This shielding effect minimizes the exposure of the arc to the surrounding air, preventing atmospheric contaminants from negatively affecting the welding process.
Moreover, flux coatings can also alter the chemical composition of the weld pool, thereby modifying its properties. By introducing specific elements or alloys into the electrode flux, they can enhance the strength, ductility, and corrosion resistance of the resulting weld. This can be particularly beneficial when welding dissimilar metals or when specific mechanical or chemical characteristics are desired.
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What is the basic requirement of measurements?
The basic requirement of measurements is to have a standard or reference point against which to compare the quantity being measured. This standard or reference point should be well-defined and stable, and the measurement process should be repeatable and consistent. Additionally, it is important to ensure that the measurement equipment is calibrated and in good working condition.
Answer:
The most basic requirement for measurements is the presence of a standard or reference point against which the quantity being measured can be compared. The measurement process should be repeatable and consistent, and the standard or reference point should be well-defined and stable. Furthermore, ensure that the measurement equipment is calibrated and in good working order.
Explanation:
auto mechanics, machine operators and process engineers are in what career cluster?
Auto mechanics, machine operators, and process engineers are in the Manufacturing career cluster.What is the Manufacturing career cluster?The Manufacturing career cluster focuses on designing, planning, and producing products that are used every day, such as machinery, cars, electronics, and a variety of consumer goods. It includes careers in the production, processing, marketing, and distribution of products.
This career cluster is ideal for those who enjoy working with their hands and using specialized tools and equipment to create or assemble products.Auto mechanics, machine operators, and process engineers are some of the professions found in this career cluster. They work with different manufacturing machinery, tools, and equipment to create, assemble, and maintain different types of products.
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A specimen of steel 100mm diameter with a guage length of 100mm tested a distruction it has an extension of 0.50mm under a load of 70KN and the load at elastic limit is 10KN the maximum load is 140KN the total extension of fracture is 58mm and the diameter at the neck is 16mm . find the Stress of elastic limit, young modulus, percentage enlogation, percentage reduction in area , and ultimate tensile stress?
The stress at elastic limit is 1.27 N/mm^2, the Young's modulus is 254 N/mm^2, the percentage elongation is 57.5%, the percentage reduction in area is 97.44%, and the ultimate tensile stress is 696.67 N/mm^2.
How to calculate the valuesStress = Force / Area
Young's modulus = Stress / Strain
Percentage elongation = (extension / gauge length) x 100%
Percentage reduction in area = [(original area - area at neck) / original area] x 100%
Ultimate tensile stress = Maximum load / Area
Diameter of specimen = 100 mm
Gauge length = 100 mm
Extension at 70 KN load = 0.50 mm
Load at elastic limit = 10 KN
Maximum load = 140 KN
Total extension at fracture = 58 mm
Diameter at neck = 16 mm
We can calculate the area of the specimen as follows:
Area = π/4 x d^2
Area = π/4 x (100 mm)^2
Area = 7853.98 mm^2
The stress at elastic limit can be calculated as:
Stress = Load / Area
Stress = 10 KN / 7853.98 mm^2
Stress = 1.27 N/mm^2
The Young's modulus can be calculated as:
Strain = Extension / Gauge length
Strain = 0.50 mm / 100 mm
Strain = 0.005
Stress = Load / Area
Load = Stress x Area
Load = 1.27 N/mm^2 x 7853.98 mm^2
Load = 9982.16 N
Young's modulus = Stress / Strain
Young's modulus = 1.27 N/mm^2 / 0.005
Young's modulus = 254 N/mm^2
The percentage elongation can be calculated as:
Percentage elongation = (extension / gauge length) x 100%
Percentage elongation = (58 mm - 0.50 mm) / 100 mm x 100%
Percentage elongation = 57.5%
The percentage reduction in area can be calculated as:
Original area = π/4 x (100 mm)^2 = 7853.98 mm^2
Area at neck = π/4 x (16 mm)^2 = 201.06 mm^2
Percentage reduction in area = [(original area - area at neck) / original area] x 100%
Percentage reduction in area = [(7853.98 mm^2 - 201.06 mm^2) / 7853.98 mm^2] x 100%
Percentage reduction in area = 97.44%
The ultimate tensile stress can be calculated as:
Area at neck = π/4 x (16 mm)^2 = 201.06 mm^2
Ultimate tensile stress = Maximum load / Area
Ultimate tensile stress = 140 KN / 201.06 mm^2
Ultimate tensile stress = 696.67 N/mm^2
Therefore, the stress at elastic limit is 1.27 N/mm^2, the Young's modulus is 254 N/mm^2, the percentage elongation is 57.5%, the percentage reduction in area is 97.44%, and the ultimate tensile stress is 696.67 N/mm^2.
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What distinguishes the research, investigation, and analysis phase from later phases of the historical preservation process?
It involves careful attention to the history of the structure.
It is the only phase that does not involve construction.
It is primarily involved with fact finding.
It is the only phase that does not involve design.
Answer:
c
Explanation:
Find the volume of water displaced and position of center of buoyancy for a wooden block of width 2.5m and of depth 1.5m. When it floats horizontally, in water. The density of wooden block is 650 kg/m3 and its length óm
Answer:
The mass density of a fluid is 980 kg/m3. ... If the specific gravity of a liquid is 0.79, determine its mass density and specific ... A wooden block of size 1m x 0.5m x 0.4m is floating in water with 0.4 m side ...
Explanation:
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The volume of the water displaced is 9.75m³ and the position of Center of Buoyancy is 0.975 m.
Volume of the water displacedWeight of the block=ρ×g×Volume
Weight of the block=650×9.81×4×2.5×1.5
Weight of the block=95,647.5N
Volume of water displaced =95,647.5 / (1000 × 9.81)
Volume of water displaced =95,647.5 /9,810
Volume of water displaced= 9.75m³
Depth of immersion,
h=9.75/2.5×4
h=9.75/10
h=0.975 m
Therefore the volume of the water displaced is 9.75m³ and the position of Center of Buoyancy is 0.975 m.
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Draw the block diagram of the front end of an embedded ECG that read only lead I and lead II that are connected to two channels of ADC in a microcontroller. How the Lead III and other three augmented leads can be calculated from these two leads
An amplifier is a piece of electrical equipment that increases the voltage, current, or power of a signal. Amplifiers are used in wireless communications, broadcasting, and other audio equipment. They can be classified as either power amplifiers or weak-signal amplifiers.
The following amplifier schematic is attached:
Wireless receivers are where weak-signal amplifiers are mostly used. Additionally, they are used in CD players, audio tape players, and acoustic pickups. It is possible for input signals to be so faint that they hardly register more than a few nanovolts (10-9 volts), therefore weak-signal amplifiers are made to handle such signals.
Such amplifiers must significantly boost the signal voltage while producing the least amount of internal noise. The field-effect transistor is the best gadget for this use.
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Write a program that prompts the user to enter two points (x1, y1) and (x2, y2) and displays their distance between them. The formula for computing the distance is:Square root of ((x2 - x1) squared + (y2 - y1) squared) Note that you can use pow(a, 0.5) to compute square root of a.Sample Run:Enter x1 and y1: 1.5 -3.4Enter x2 and y2: 4 5The distance between the two points is 8.764131445842194C++ Please
To solve this problem, you need to first prompt the user to enter the values of x1, y1, x2, and y2. Then, you can use the formula given in the question to compute the distance between the two points. Finally, you can display the result to the user. Here is the code in C++:
```
#include
#include
using namespace std;
int main() {
// Declare variables
double x1, y1, x2, y2, distance;
// Prompt the user to enter the values of x1, y1, x2, and y2
cout << "Enter x1 and y1: ";
cin >> x1 >> y1;
cout << "Enter x2 and y2: ";
cin >> x2 >> y2;
// Compute the distance between the two points
distance = pow(pow(x2 - x1, 2) + pow(y2 - y1, 2), 0.5);
// Display the result
cout << "The distance between the two points is " << distance << endl;
return 0;
}
```
Sample Run:
```
Enter x1 and y1: 1.5 -3.4
Enter x2 and y2: 4 5
The distance between the two points is 8.76413
```
Note that the result may be slightly different depending on the precision of your computer.
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You use a horizontal, 4 mm diameter, 100 mm long heater rod to boil water under atmospheric pressure. The rod material is of emissivity 0.5 and maintains its surface temperature at 455˚C during operation. Estimate the power dissipation of the heater rod (W).
Answer:
0.01 W
Explanation:
diameter d of rod = 4 mm
radius r of the rod = d/2 = 4/2 =0.002 m
length L of rod = 100 mm = 0.1 m
temperature of rod = 455 °C
temperature in kelvin = 455 + 273.3 = 728.3 K
emissivity ε of rod = 0.5
external radiative surface area of rod is calculated as
A = \(\pi r^{2} L\) = 3.142 x \(0.002^{2}\) x 0.1 = 1.26 x \(10^{-6}\) m^2
Power dissipiation P = εσA(\(T^{4}\))
where σ Stefan's constant = 5.67 x \(10^{-8}\) W-\(m^{2}\)-\(K^{4}\)
P = 0.5 x 5.67 x \(10^{-8}\) x 1.26 x \(10^{-6}\) x \(728.3^{4}\) = 0.01 W
For the beam loaded as shown in Fig Q2a. perform the following task:
Calculate the support reactions at A and E;
(i)
Draw the shear force diagram for the beam showing all important
values;
>
(iii)
Draw the bending moment diagram for the beam showing all
important values.
6 kN
10 KN
2 kN/m
B
D
1 m
1 m
1 m
1 m
Answer:
a
Explanation:
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