Answer:
61.6 hours will be needed to reduce the diameter of solid spherical ball from 2 cm to 0.50 cm.
Explanation:
Find the given attachments
a) Describe the operation of a heat pump operating on the theoretical reversed Carnot cycle, with a neat sketch of the layout.
b) What modifications are required in order to convert a steam power plant working on the ideal Carnot cycle to a plant operating on the Rankine cycle? Explain briefly why these modifications are necessary to enable the operation of a practical cycle? Illustrate your answer with sketches using appropriate property diagrams (p-v and T-s diagrams).
Answer:
a) The operation of a heat pump involves the extraction of energy in the form of heat Q₁ from a cold source
b) The modifications required to convert a plant operating on an ideal Carnot cycle to a plant operating on a Rankine cycle involves
i) Complete condensation of the vapor at the condenser to saturated liquid for pumping to the boiler
ii) Heating of the pumped, pressurized water to the boiler pressure
Explanation:
a) 1 - 2. Wet vapor enters compressor where it undergoes isentropic compression to state 2 by work W₁₂
2 - 3. The vapor enters the condenser at state 2 where it undergoes isobaric and isothermal condensation to a liquid with the evolution of heat Q₂
3 - 4. The condensed liquid is expanded isentropically with the work done equal to W₃₋₄
4 - 1. At the state 4, with reduced pressure from the previous expansion, the liquid makes its way to the evaporator where it absorbs heat, Q₁, from the body to be cooled.
b. i) Complete condensation of the vapor at the condenser to saturated liquid for pumping to the boiler
Here the condensation process is modified from partial condensation to complete condensation at the same temperature which reduces the size of the pump required to pump the liquid water as opposed to pumping steam plus liquid
ii) Heating of the pumped, pressurized water to the boiler pressure
The pumped water at state 4 will be required to be heated to saturated water temperature equivalent to the boiler pressure, hence heat will need to be added at state.
Sketches of the schematic of a Basic Rankine cycle is attached
9.For a single-frequency sine wave modulating signal of 3 kHz with a carrier frequency of 36 MHz, what is the spacing between sidebands
The spacing between sidebands is equal to 6 kHz.
Given the following data:
Modulating signal = 3 kHz.Carrier frequency = 36 MHz.What is a sideband?A sideband can be defined as a band of frequencies that are lower or higher than the carrier frequency due to the modulation process. Thus, it will either be lower than or higher than the carrier frequency.
Generally, the frequency of the modulating signal is equal to the spacing between the sidebands. Therefore, a modulating signal of 3 kHz simply means that the lower sideband is 3 kHz higher while the upper sideband is 3 kHz lower.
Spacing = 3 kHz + 3 kHz = 6 kHz.
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The pressure gage on a 2.5-m3 oxygen tank reads 500 kPa. Determine the amount of oxygen in the tank (mass in kg) if the temperature is 28°C and the atmospheric pressure is 97 kPa.
Answer:
\(n=5.36kg\)
Explanation:
From the question we are told that:
Volume \(V=2.5m^3\)
Pressure\(\rho=500Kpa\)
Temperature \(T=28^o\)
Atmospheric pressure \(\rho_{atm} =97 kPa.\)
Generally the equation for an Ideal gas is mathematically given by
\(PV=nRT\)
Therefore
\(n=\frac{500*2.5}{8.314*28}\)
\(n=5.36kg\)
2. Because she has a Victim mindset and having low grade in her Math class, Julianna believes
O a. her low grades are the fault of her unfair teacher.
O b. she needs to take an easier class.
O c. that working with a tutor is the only way for her to pass the class.
O d. she can improve her grades if she studies more.
Because she has a Victim mindset and having low grade in her Math class, Julianna believes: A. her low grades are the fault of her unfair teacher.
What is a Victim mindset?A Victim mindset is also referred to as victim mentality and it can be defined as an acquired personality trait in which an individual tends to recognize and believe that the negative and unfair actions of others towards him or her, is responsible for the bad and unpleasant things that happens.
This ultimately implies that, an individual with a Victim mindset is prejudiced and strongly believes that every other person is against him or her, and as such these people are responsible for their failures.
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consider the image x and filter f given below. let x be convolved with f using no padding and a stride of 1 to produce an output y . what is the output y ?
The output of convolving image x with filter f using no padding and a stride of 1 is y.
When performing convolution without padding, the output size is determined by the size of the input image and the size of the filter. Since no padding is applied, the edges of the image are not extended, resulting in a smaller output size compared to the input.
To compute the output, we slide the filter over the input image with a stride of 1. At each position, we perform an element-wise multiplication between the filter and the corresponding patch of the input. Then, we sum up the results to obtain a single value, which forms one element of the output matrix. This process is repeated for all positions of the filter over the image.
Given the dimensions of image x and filter f, we can calculate the output size as follows:
- The output width is given by (input width - filter width + 1) / stride.
- The output height is given by (input height - filter height + 1) / stride.
Since the question does not provide the dimensions of image x or filter f, it is not possible to provide an exact value for the output y. However, by knowing the dimensions of x and f, you can apply the formulas mentioned above to calculate the dimensions of the output. The resulting output y will have a size determined by these calculations.
Keep in mind that after obtaining the dimensions of the output, you can populate the values of y by performing the convolution operation described earlier.
In summary, the output y is obtained by convolving image x with filter f without padding and using a stride of 1. The exact value of y depends on the dimensions of x and f, which are not provided in the question.
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FILL IN THE BLANK.motorcycles require __________ lane width to operate safely.
Motorcycles require a full lane width to operate safely.
Motorcycles, like any other vehicle on the road, need a full lane width to ensure safe operation. Motorcycles have the same rights and responsibilities as other vehicles, and they require sufficient space within a lane to maneuver, maintain stability, and respond to potential hazards.
The full lane width allows motorcycles to position themselves appropriately within the lane, maintain a safe distance from other vehicles, and have enough space for maneuvering to avoid obstacles, potholes, or debris on the road. It also provides enough room for the motorcycle to lean during turns, which is necessary for proper control and stability.
Motorcycles should not be forced to share a lane with another vehicle or be squeezed into a narrower space. It is essential for other motorists to be aware of and respect the space requirements of motorcycles, allowing them to occupy a full lane when necessary for their safety.
By providing motorcycles with the full lane width they require, it helps to enhance their visibility, reduces the risk of collisions, and promotes overall road safety for both motorcyclists and other road users.
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Using a definition of the limit of function, prove that the following functions are continuous
at = 0:
) () = 1 − 2 + 52, 0 = 1
Answer:
... you gotta do divson?
Explanation:
What should be done to reduce refrigerant loss from a purge unit on a r123 chiller?
A. Leak test and repair the chiller.
B. Seal the purge unit discharge line.
C. Pipe purge unit back into the low side.
D. Pipe purge unit back into recovery unit.
Answer:
A. Leak test and repair the chiller.
Explanation:
A refrigerant may be defined as a special compound used in the refrigerator or an AC or any other cooling device. It is generally a mixture or a substance used to carry over the heat and release the them to the atmosphere.
It acts as a carrying medium of heat.
A purge unit is a component of the refrigeration system used to remove the air.
When there is a leak in the refrigeration system, refrigerant escapes and it results in cooling loss.
Thus in order to reduce the refrigerant loss from the unit, we have to do a leak test to check for any leaks and then repair the chiller unit.
how do you fix this code? python
from random import randint
class Character:
def __init__(self):
self.name = ""
self.health = 1
self.health_max = 1
def do_damage(self, enemy):
damage = min(
max(randint(0, self.health) - randint(0, enemy.health), 0),
enemy.health)
enemy.health = enemy.health - damage
if damage == 0: print "%s evades %s's attack." % (enemy.name, self.name)
else: print "%s hurts %s!" % (self.name, enemy.name)
return enemy.health <= 0
The correct code that fixes this bug-filled python code is:
from random import randint
class Character:
def __init__(self):
self.name = ""
self.health = 1
self.health_max = 1
def do_damage(self, enemy):
damage = min(
max(randint(0, self.health) - randint(0, enemy.health), 0),
enemy.health)
enemy.health = enemy.health - damage
if damage == 0:
print("%s evades %s's attack." % (enemy.name, self.name))
else:
print("%s hurts %s!" % (self.name, enemy.name))
return enemy.health <= 0
class Enemy(Character):
def __init__(self, player):
Character.__init__(self)
self.name = 'a goblin'
self.health = randint(1, player.health)
class Player(Character):
def __init__(self):
Character.__init__(self)
self.state = 'normal'
self.health = 10
self.health_max = 10
def quit(self):
print(
"%s can't find the way back home, and dies of starvation.\nR.I.P." % self.name)
self.health = 0
def help(self): print(Commands.keys())
def status(self): print("%s's health: %d/%d" %
(self.name, self.health, self.health_max))
def tired(self):
print("%s feels tired." % self.name)
self.health = max(1, self.health - 1)
def rest(self):
if self.state != 'normal':
print("%s can't rest now!" % self.name)
self.enemy_attacks()
else:
print("%s rests." % self.name)
if randint(0, 1):
self.enemy = Enemy(self)
print("%s is rudely awakened by %s!" %
(self.name, self.enemy.name))
self.state = 'fight'
self.enemy_attacks()
else:
if self.health < self.health_max:
self.health = self.health + 1
else:
print("%s slept too much." % self.name)
self.health = self.health - 1
def explore(self):
if self.state != 'normal':
print("%s is too busy right now!" % self.name)
self.enemy_attacks()
else:
print("%s explores a twisty passage." % self.name)
if randint(0, 1):
self.enemy = Enemy(self)
print("%s encounters %s!" % (self.name, self.enemy.name))
self.state = 'fight'
else:
if randint(0, 1):
self.tired()
def flee(self):
if self.state != 'fight':
print("%s runs in circles for a while." % self.name)
self.tired()
else:
if randint(1, self.health + 5) > randint(1, self.enemy.health):
print("%s flees from %s." % (self.name, self.enemy.name))
self.enemy = None
self.state = 'normal'
else:
print("%s couldn't escape from %s!" %
(self.name, self.enemy.name))
self.enemy_attacks()
def attack(self):
if self.state != 'fight':
print("%s swats the air, without notable results." % self.name)
self.tired()
else:
if self.do_damage(self.enemy):
print("%s executes %s!" % (self.name, self.enemy.name))
self.enemy = None
self.state = 'normal'
if randint(0, self.health) < 10:
self.health = self.health + 1
self.health_max = self.health_max + 1
print("%s feels stronger!" % self.name)
else:
self.enemy_attacks()
def enemy_attacks(self):
if self.enemy.do_damage(self):
print("%s was slaughtered by %s!!!\nR.I.P." %
(self.name, self.enemy.name))
Commands = {
'quit': Player.quit,
'help': Player.help,
'status': Player.status,
'rest': Player.rest,
'explore': Player.explore,
'flee': Player.flee,
'attack': Player.attack,
}
p = Player()
p.name = input("What is your character's name? ")
print("(type help to get a list of actions)\n")
print("%s enters a dark cave, searching for adventure." % p.name)
while(p.health > 0):
line = input("> ")
args = line.split()
if len(args) > 0:
commandFound = False
for c in Commands.keys():
if args[0] == c[:len(args[0])]:
Commands[c](p)
commandFound = True
break
if not commandFound:
print("%s doesn't understand the suggestion." % p.name)
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What does the 1946-49 Greek civil war have to do with the Cold War?
The 1946-49 Greek civil war was closely linked to the Cold War as it was a proxy conflict between the Western powers and the Soviet Union.
The Greek civil war was a result of political tensions and ideological differences between communist and anti-communist forces in Greece. The Soviet Union supported the communist forces, while the United States and its Western allies supported the anti-communist forces.
The conflict was seen as a crucial battleground in the early years of the Cold War, and the United States provided significant military and economic aid to the Greek government.
The outcome of the Greek civil war had significant implications for the balance of power in Europe and the broader Cold War struggle between the United States and the Soviet Union.
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Leah's Toys makes rubber balls. The current process is capable of producing balls that weigh, on average, 2.5 ounces, with a standard deviation of 0.34 ounces. a. The upper and lower tolerance limits are 2.9 ounces and 2.1 ounces respectively. The process capability ratio is 392 . (Enter your response rounded to three decimal places.) Leah's capable of meeting the tolerance limits 99.7% of the time. b. In order to exactly meet the tolerance limits 99.7% of the time, Leah's Toys would need to reduce the standard deviation to olices. (Enter your response rounded to two decimal places.) c. Suppose Leah's ioys invests in process improvements that lower the standard deviation to just 0.13 ounces. This en gh for Leah's to achieve Six Sigma quality levels with regard to the weight of the balls, because a new process capat y ratio is (Enter your response rounded to three decimal places.)
Let's take this step by step.
a. The process capability ratio is given as Cp = 392. However, I believe there may be a misunderstanding or typo in the original question. Process capability ratio typically falls within the range 0-3. The formula for the process capability ratio (Cp) is:
Cp = (USL - LSL) / (6σ)
Where:
- USL is the upper specification limit (in this case, 2.9 ounces)
- LSL is the lower specification limit (in this case, 2.1 ounces)
- σ is the standard deviation (in this case, 0.34 ounces)
Let's recalculate the Cp given these inputs:
Cp = (2.9 - 2.1) / (6 * 0.34) = 0.800
This indicates that Leah's Toys' process is currently capable of producing balls within the tolerance limits about 80% of the time, assuming a normal distribution of weights. There may be a misunderstanding with the provided Cp of 392.
b. If Leah's Toys wants to meet the tolerance limits 99.7% of the time, then they would need to reduce the standard deviation such that the output falls within +/- 3σ (3 standard deviations from the mean). This is also known as achieving a "Six Sigma" level of quality.
We can rearrange the Cp equation to solve for σ:
σ = (USL - LSL) / (6 * Cp)
Assuming a Cp of 1.0 (which represents a process that meets tolerance limits 99.73% of the time under a normal distribution), we find:
σ = (2.9 - 2.1) / (6 * 1.0) = 0.13 ounces
This is the standard deviation Leah's Toys would need to achieve to meet the tolerance limits 99.7% of the time.
c. If Leah's Toys invests in process improvements and lowers the standard deviation to 0.13 ounces, then the new process capability ratio (Cp) would be:
Cp = (2.9 - 2.1) / (6 * 0.13) = 1.026
This means Leah's Toys could achieve Six Sigma quality levels (99.7% of products within specification limits) with this new standard deviation. Six Sigma is often represented by a Cp or Cpk (which takes into account mean shift) of 1.5 or more, but in a perfect process centered between the limits, a Cp of 1.0 represents 99.73% within limits, which aligns with your 99.7% target.
metal _____ flashing is commonly used to waterproof joints between sloping roofs and vertical walls.
Answer:
metal step-flashing flashing is commonly used to waterproof joints between sloping roofs and vertical walls.
Hope its helpful!
Answer:
step-flashing is the answer.
Explanation:
Technician A says that hoods are designed with reinforcements to prevent folding during a collision. Technician B says that some hoods are made from reinforced plastic. Who is right?
Technician A is wrong.
Usually, hoods have what is called "Crush Zones" underneath the panels. The function of the Crush Zone is to prevent the hoods, during a collision, from entering into the passenger space. The crush zones allow the hoods to fold instead.
Technician B is right.
Automobile producers now make use of a hybrid form of hood that consists of fiberglass reinforced with plastic.They are mostly used for trucks that have a low volume of production. The hood is built using a process called Resin Transfer Model (RTM).
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Which one of the following answer options are your employers responsibility
Where are your answer options?
Answer:
Implement a hazard communication program
Explanation: i took the quiz
Water flows through this orifice meter by gravity. The orifice diameter is 50 cm and water height difference is 10 m. If the contraction coefficient is 0.62 and velocity coefficient is 0.90, the flow rate through the orifice is most nearly:
Answer:
Q ≅ 1.53 m³/s
Explanation:
From the given information:
The flow rate of the orifice is:
\(v = c_v \sqrt{2gh}\)
\(v = 0.90 \times \sqrt{2*9.81 * 10}\)
where;
\(Q = c_d \times \sqrt{2gh} \times A\); &
\(c_d = c_c \times c_v\)
∴
\(Q = c_c \times c_v \sqrt{2gh} \times \dfrac{\pi}{4}\times d^2\)
\(Q = 0.90 \times 0.62 \sqrt{2*9.81*10} \times \dfrac{\pi}{4}\times 0.5^2\)
\(Q = 0.558 \times 14.00714104 \times 0.1963495408\)
Q ≅ 1.53 m³/s
What happens to the generated voltage, if a more powerful magnet is used?
1) The generated voltage gets higher
2) the generated voltage gets lower
3) the amount of voltage generated stay the same
consider the beam and loading shown. assume that the flexural rigidity ei of the beam is constant.
The answer is the slope at the free end is 0.50 \(PL^{2}\)/EI.
By replacing the boundary condition in the slope equation, the slope at the free end is computed. The largest slope will occur at the free end of a cantilever beam with a point load.
A stiff body's equilibrium:
When the sum of external forces and couplings equals zero, an item is said to be in equilibrium.
For a rigid body to be in three-dimensional equilibrium, the sum of external forces acting along.
For a rigid body to be in equilibrium in three dimensions, the sum of external couples about any point should be zero.
Moment of a force:
The moment of a force refers to the propensity of the force to cause rotation on the body it acts upon. The moment’s magnitude can be determined from the product of the force’s magnitude and the distance to the force measured perpendicularly.
Free body diagram:
It is a graphical, symbolic illustration that is used to visualize the applied forces, moments, and reactions on a body for a particular condition
Slope:
Slope refers to the inclination angle between the initial longitudinal axis of the beam and the tangent of the deflection curve.
To calculate the slope at the free end x=L
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A mechanical device rests in a level position on two supports, each 42 inches high, at 60°F. The support at one end is gray cast iron; at the other end, structural steel. What is the greatest amount the device can be out of level due to differences in expansion if the temperature rises to 165°F?
Answer:
0.006174 in
Explanation:
The thermal expansion coefficients I found were ...
5.8×10^-6/°F for gray cast iron
7.2×10^-6/°F for structural steel
Then the difference in expansion dimensions for a 42-inch length will be ...
(42 in)((7.2 -5.8)×10^-6/°F)(165 -60)°F = (42 in)(1.4×10^-6)(105) = 0.006174 in
The difference in thermal expansion over that temperature range will be about 0.006174 inches.
A rain gutter is to be constructed from a metal sheet of width 3m by bending up one-third of the sheet on each side through an angle θ. How should θ be chosen so that the gutter will carry the maximum amount of water?.
The area of the gutter is therefore equal to the area of the rectangle plus the area of the triangles.
A = rectangle + 2 * triangle
= 10h + 2 * (1/2 hw)
Using trig work out h and w.
h = 10 sin ?
w = 10 cos ?
A = 10h + hw
= 100sin? + 100sin?cos?
Differentiate the expression (either use the product rule for sin? cos?, or write 100sin?cos? as 50sin2? using the double angle formula)
A = 100sin? + 50sin2?
dA/dt = 100cos? + 100cos2?
For A to be a max or min the derivative must equal zero
100cos? + 100cos2? = 0
cos? + cos2? = 0
Use the double angle formula to write cos2? as 2cos^2 ? - 1
cos? + 2cos^2 ? - 1 = 0
2cos^2 ? + cos? - 1 = 0
This quadratic factorizes:
(2cos? - 1)(cos? + 1) = 0
This means that
cos ? = 1/2 or cos ? = 1
giving:
? = pi/3 or ? = pi
Which means that to achieve the maximum area ? should be pi/3 = 60 degrees
You can check that this is the max by substituting in these values of theta and the two end points (theta = 0, theta = pi), and seeing that pi/3 gives the maximum.
The maximum area is therefore
A = 100sin? + 100sin?cos?
= 100sin(pi/3) + 100sin(pi/3)cos(pi/3)
= 100 sqrt(3) / 2 + 100 sqrt(3)/2 * 1/2
= 100 * 3/2 * sqrt(3) / 2
= 3 * 25 * sqrt(3)
= 75 sqrt(3)
= 129.9...
= 130 cm^3
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An AM signal having a carrier frequency of 460 kHz is to be mixed with a local oscillator signal at a frequency of 1135 kHz. What does the output of the IF amplifier consist of
Answer:
the output of the IF amplifier consist of 675 kHz
Explanation:
Given the data in the question;
AM signal carrier frequency \(_{RF\) = 460 kHz
Local oscillator frequency\(_{lo\) = 1135 kHz
Now, The output of the IF amplifier consists of difference of local oscillator frequency & AM carrier signal frequency;
FREQUECY\(_{IF\) = FREQUECY\(_{lo\) - FREQUECY\(_{RF\)
so we substitute in our given values
FREQUECY\(_{IF\) = 1135 kHz - 460 kHz
FREQUECY\(_{IF\) = 675 kHz
Therefore, the output of the IF amplifier consist of 675 kHz
What is the maximum speed, in RPM, at which the magnetic field of a 50Hz polyphase motor can rotate, allowing for a 2-,3-,4- and 6-phase power source.
The maximum speed at which the magnetic field of a 50Hz polyphase motor can rotate for a 2-, 3-, 4-, and 6-phase power source is 3000 RPM, 2000 RPM, 1500 RPM, and 1000 RPM, respectively.
The maximum speed, in RPM, at which the magnetic field of a 50Hz polyphase motor can rotate, allowing for a 2-, 3-, 4-, and 6-phase power source is given by the formula N = 120f / P, where N is the synchronous speed in RPM, f is the frequency in Hz, and P is the number of poles in the motor.
For a 2-phase power source, the maximum speed is given by:
N = 120 x 50 / 2N = 3000 RPM
For a 3-phase power source, the maximum speed is given by:
N = 120 x 50 / 3N = 2000 RPM
For a 4-phase power source, the maximum speed is given by:
N = 120 x 50 / 4N = 1500 RPM
For a 6-phase power source, the maximum speed is given by:
N = 120 x 50 / 6N = 1000 RPM.
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1. When measuring a cylinder for wear, the most wear will be found at the
Answer:
Most cylinder wear occurs at the top of ring travel.
complete this program, prompting the user to to enter two positive numbers a and b so that a is less than b.
According to the question the program is as follows,
#include <iostream>
int main()
{
int a, b;
std::cout << "Please enter two positive numbers such that the first is less than the second: ";
std::cin >> a >> b;
if (a > b) {
std::cout << "The first number must be less than the second number!" << std::endl;
return 1;
}
int sum = 0;
for (int i = a; i <= b; ++i) {
sum += i;
}
std::cout << "The sum of the integers between " << a << " and " << b << " is: " << sum << std::endl;
return 0;
}
What is program?Program is a set of instructions or commands that tell a computer, device, or machine what to do and how to do it. A program can be written in any programming language, including C, C++, Java, Python, and more. Programs are written by programmers to provide instructions to a computer on how to complete a task. Programs are usually designed to perform a specific task and can be customized for different sets of data or to do an operation differently. Programs are usually composed of different elements such as data structures, algorithms, and control flow.
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the safety controls of comfort cooling systems include ____.
The safety controls of comfort cooling systems include thermostats. A device that monitors temperature fluctuations with the aim of keeping an enclosed space's temperature essentially constant.
The thermostat, air blowing unit, air filter evaporator, condenser coil, and compressor are the six major air conditioning parts that homeowners need to be aware of. The thermostat generates signals—typically electrical ones—when the temperature rises or falls above or below the intended level in a system that also includes relays, valves, switches, etc. A thermostat is a tool that regulates temperature by turning a system or motor on or off. For instance, thermostats are utilized in refrigerators and central heating systems. The thermostat shows the ambient temperature and uses this data to turn on and off your HVAC system.
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8. If you push a 2000 N weight up a ramp with 400 N of force and you raise the weight 1 meter,
how long is the ramp?
A) 3 m
B) 5 m
C) 10 m
D) 20 m
One signal vin=0.2sin(wt) is applied to a bridge rectifier where Silicon diodes are used. The peak value of output voltage is expected to be
a)can't be estimated due to insufficient data
b)0.0
c)0.2
d)0.4
Answer:
This problem has been solved!
See the answer
7. The voltage that must be less than the breakdown voltage of the diode in order to prevent damage to the diode is the ________.
peak inverse voltage
maximum diode voltage
reverse surge voltage
maximum peak voltage
8. Assume the input signal to a rectifier circuit has a peak value of Vm = 12 V and is at a frequency of 60 Hz. Assume the output load resistance is R = 2kΩ and the ripple voltage is to be limited to Vr= 0.4 V. Determine the capacitance required to yield this specification for a (a) full-wave rectifier and (b) half-wave rectifier. Show all work.
9.A full-wave rectifier is to be designed to produce a peak output voltage of 12 V, deliver 120 mA to the load, and produce an output with a ripple of not more than 5 percent. An input line voltage of 120 V (rms), 60 Hz is available. Consider a bridge type rectifier. Specify the transformer ratio and the size of the required filter capacitor. Show all work.
Explanation:
consider a stokes flow due to a sphere rotating near a wall, argue from kinematic reversibility weather or not the rotating sphere will experience a force pushing it away or drawing it into the wall
In Stokes flow, the fluid velocity is proportional to the forces acting on the fluid and the fluid is assumed to be viscous and incompressible. The fluid velocity near a rotating sphere in Stokes flow can be determined using the equations of fluid dynamics.
What is the reversibility about?Kinematic reversibility is a property of Stokes flow, which states that the fluid flow is symmetric with respect to time reversal. This means that if the fluid velocity is recorded at a certain time, then the same velocity field will be obtained if time is reversed and the flow is replayed in the reverse direction.
When a sphere is rotating near a wall, the flow of fluid around the sphere creates a velocity field that pushes the sphere away from the wall. This flow can be considered as the fluid being pushed away from the sphere and towards the wall. If the flow is time-reversed, the fluid velocity field would be the same, but the direction of the velocity would be reversed. This means that the fluid would be drawn towards the sphere and away from the wall, pulling the sphere towards the wall.
Therefore, based on the property of kinematic reversibility in Stokes flow, the rotating sphere near a wall will experience a force that could either push it away from the wall or draw it towards the wall, depending on the direction of the flow.
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to cool a given room it is necessary to supply 4 ft3 /s of air through an 8-in.-diameter pipe. approximately how long is the entrance length in this pipe?
To cool a given room it is necessary to provide 4 ft³/s of air through an 8-inches diameter pipe, for this Entrance length in this pipe = 17.7 ft
Q = 4ft³/s
Diameter = D = 8 inches
Entrance length in this pipe = \(l_{e}\) = ?
By using flow rate formula:
V = Q/A
V= Q/ π/4*D²
= 4ft³/s / π/4 (8/12 ft)²
V= 11.5 ft/s
Thus, with ν = 1.57 x 10⁻⁴ft²/s (value from table)
Re = VD/ν
Re = 11.5 ft/s (8/12 ft)/1.57x10⁻⁴ft²/s
Re = 48,800 > 4000 (based on the criteria)
so, the flow is turbulent
Hence,
\(l_{e} / D\) = \(4.4 R_{e}^{1/6}\)
\(l_{e}\) = 4.4 (48,800)\(^{1/6}\) (8/12)
\(l_{e}\) = 17.7 ft
Entrance Length of an 8-inch diameter pipe = 17.7 ft
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Counter argument for why engineers dont make a positive change in the world.
Answer:
They don't make a positive change in the world because they have made mistakes that aren't able to be made fixed and there are a lot of engineers who haven't study enough and know the important basis of coming to engineer.
Cuando la corriente a través de un resistor de 10 kOHm es de 20 mA, la potencia es
Answer:
La potencia disipada por el resistor es 200 watts.
Explanation:
Supóngase que el resistor trabaja en corriente continua (CC). La potencia disipada por el resistor (\(\dot W\)), medida en watts, es definida por la siguiente ecuación matemática:
\(\dot W = i^{2}\cdot R\) (1)
Donde:
\(i\) - Corriente eléctrica, medida en amperios.
\(R\) - Resistencia eléctrica, medida en ohms.
Si sabemos que \(R = 10000\,\Omega\) y \(i = 20\times 10^{-3}\,A\), la potencia disipada por el resistor es:
\(\dot W = (20\times 10^{-3}\,A)\cdot (10000\,\Omega)\)
\(\dot W = 200\,W\)
La potencia disipada por el resistor es 200 watts.