It is known that the connecting rod AB exerts on the crank BC a2.5-kN force directed down and to the left along the centerline ofAB. Determine the moment of that force about C.

Answers

Answer 1

To find the moment of the force about C, we need to find the perpendicular distance from the line of action of the force to point C, and then multiply by the magnitude of the force.

Let's draw a diagram of the rod AB and crank BC

A o----------o B

 |        / |

 |   a     | 2.5 kN

 |      \  |

 |________\|

      C

Here, point A is connected to the piston, point B is connected to the crankshaft, and point C is the point where the force is acting.

To find the perpendicular distance from the line of action of the force to point C, we need to find the shortest distance from point C to the line AB. This can be done by drawing a perpendicular line from point C to line AB:

A o-----|----o B

 |     / |

 | a /   | 2.5 kN

 |  /    |

 |/______|

      C

Let's call the length of this perpendicular line "h". We can use trigonometry to find h

tan(a) = h / (length of AB)

Rearranging, we get:

h = (length of AB) * tan(a)

Substituting the given values, we get:

h = 0.2 m * tan(45°)

h ≈ 0.2 m * 1

h = 0.2 m

Now, we can find the moment of the force about point C:

moment = force * distance

moment = 2.5 kN * 0.2 m

moment = 0.5 kNm

Therefore, the moment of the force about point C is 0.5 kNm.

For more questions like crank visit the link below:

https://brainly.com/question/14637140

#SPJ11


Related Questions

The Knickerbocker Theatre collapse caused three investigative committees to be formed which were Associated General Contractors, American Association of Engineers, and the Institution of Structural Engineers.
a. True
b. False

Answers

The statement given "The Knickerbocker Theatre collapse caused three investigative committees to be formed which were Associated General Contractors, American Association of Engineers, and the Institution of Structural Engineers." is false because thhe Knickerbocker Theatre collapse in 1922 did not lead to the formation of the three investigative committees mentioned (Associated General Contractors, American Association of Engineers, and the Institution of Structural Engineers).

The Knickerbocker Theatre collapse, which occurred in 1922 in Washington D.C., resulted in significant changes to building codes and safety regulations for theaters. However, it did not directly lead to the formation of the mentioned committees. These committees are independent organizations that exist for different purposes and were not specifically formed as a response to the Knickerbocker Theatre collapse.

You can learn more about Theatre  at

https://brainly.com/question/21505327

#SPJ11

Explain what software is. Your answer must include the difference between hardware and the role of software. Computer science

Answers

Software is a term used to describe computer programs and related data that provides the instructions to the computer about how to perform various tasks. It refers to all the intangible components of the computer that cannot be physically touched, such as the programs, data, and instructions that run on the hardware.

Difference between Hardware and Software
: Hardware is the physical components of the computer that can be touched or seen, while software is the intangible components of the computer that are installed on the hardware. Hardware consists of components such as the motherboard, memory, hard drive, CPU, and peripherals like the keyboard, monitor, and printer. Software, on the other hand, refers to programs, data, and instructions that run on the hardware.

Role of Software
: Software plays a critical role in the operation of a computer. It is responsible for managing all the tasks that the computer performs. The software programs enable the computer to perform various functions, such as running an application, browsing the internet, creating documents, or editing photos. The software provides the instructions to the computer's hardware to perform these tasks. Without software, the computer would be a useless collection of hardware components that have no functionality.

Know more about Software here:

https://brainly.com/question/32393976

#SPJ11


2. A general needs to take his troops across the river. He spies two boys with a small boat. He commandeers both the boat and the boys. Unfortunately, the boat will only hold two boys or one soldier. Yet he determines a method for getting his troops across. What could it be?

Answers

I am so confused, can you explain it?

c) Three AC voltages are as follows:
e1 = 80 sin ωt volts;
e2 = 60 sin (ωt + π/2) volts;
e3 = 100 sin (ωt – π/3) volts.
Find the resultant e of these three voltages and express it in the form
Em sin (ωt ± φ). [5 MARKS]
When this resultant voltage is applied to a circuit consisting of a 10-Ω resistor and a capacitance of 17.3 Ω reactance connected in series, find an expression for the instantaneous value of the current flowing, expressed in the same form. [4 MARKS]

Answers

Answer:

E = 132.69 sin(ωt -11.56)

i(t) = 6.64 sin (ωt +48.44) A

Explanation:

given data

e1 = 80 sin ωt volts                       80 < 0

e2 = 60 sin (ωt + π/2) volts          60 < 90

e3 = 100 sin (ωt – π/3) volts        100 < -60

solution

resultant will be  = e2 + e2 + e3

E =  80 < 0 + 60 < 90 + 100 < -60

\(\bar E\) = 80 + j60 + 50 - j50\(\sqrt{3}\)

\(\bar E\) = 130 + (-j26.60)

\(\bar E\) = 132.69  that is less than -11.56

so

E = 132.69 sin(ωt -11.56)

and

as we have given the impedance

z = (10-j17.3)Ω

z = 19.982 < -60

and

i(t) = \(\frac{132.69}{19.982}\) sin(ωt -11.56 + 60)  

i(t) = 6.64 sin (ωt +48.44) A

please answer correctly if it is not correct, report it to them thank you for answering correctly.god bless you​

please answer correctly if it is not correct, report it to them thank you for answering correctly.god

Answers

Answer:

i think 1 is c and im so sorry but i dont know whats the rest

Explanation:

Do not ________________ a tool. *
-clean up
-force
-stop
-unplug

Answers

Answer:Unplug or force?
Hdsubsjsbxudnsorryyyy

Use g = 9.8m/s2 and calculate the weight of 3 bricks of butter having a mass of half a kilo each​

Answers

Answer:

This article deals with weight formula and its derivation. Weight refers to the force which acts on a body or object due to the effect of gravity. So, when an individual stands on a scale, the reading that appears is the weight. The more an individual weighs consequently means a higher reading on the scale. When an individual loses weight, he should think of it as lessening one’s force on the Earth due to gravity.

weight formula

What is Weight?

Simply speaking, weight refers to the force of gravity. Weight is certainly a force that acts on all bodies or objects at all times near a heavenly body such as the Earth. The Earth pulls all objects downward towards the center with a force of gravity. One can find the magnitude of the force of gravity by multiplying the magnitude of the acceleration due to gravity by the mass of the particular object.

Some books describe weight as a scalar quantity, the magnitude of the gravitational force. In contrast, some books refer to weight as a vector quantity, the gravitational force which acts on the object. Moreover, some experts explain weight as referring to the magnitude of the reaction force which is exerted on a body by various mechanisms. Also, these mechanisms keep the body in place.

The unit of measurement for weight is certainly that of force. This unit in the International System of Unit (SI) is the newton. The object with a mass of 1 kilogram would weigh about 9.8 Newtons on the Earth’s surface. Furthermore, it would weigh about one-sixth as much on the moon.

Weight Formula

The weight of an object or body certainly depends on the mass of the object and the gravity acting on it. This is why, the weight is different from mass. The mass of an object would be same whether on the Earth or on the Moon. The weight of an object due to the influence of gravity would be different on the Earth than on the Moon. The weight formula can be explained as follows:

Weight = mass × gravity

The formula for this is:

w = mg

Here we have,

w = weight

m = mass

g = gravity

Explanation:

Why is the reasoning important when you make a scientific argument?

Answers

Answers and credibility of how you got there without reasoning

Speculators in energy markets have been blamed for recent volatility in gas and oil prices. Consider the following scenario: In response to this criticism of speculators, regulators impose restrictions on them that make it costlier for them to participate in the energy markets. Immediately prior to the effect of the new regulations, in the oil derivatives market, hedgers are net long. At this time, hedgers in the gas derivatives market are net short. Assuming nothing else changes, predict the effect of the new regulations on the trend (drift) in oil futures prices and the trend (drift) in gas futures prices. Briefly describe how these changes in the trends will impact the cost of hedging in the oil and gas markets. Explain your reasoning.

Answers

Higher costs imposed on speculators to participate in energy markets could lead to a reduction in liquidity and trading volume.

How to explain the information

This decline would reduce the influence that speculation has over oil and gas futures prices, as previously highlighted.

As it stands in this particular instance, buyers utilizing hedging strategies within the market for oil derivatives are net long: positioning with contracts designed to mitigate the risk of future price increases. Conversely, sellers involved in hedging activities in the gas derivatives sector maintain a net short position- offsetting prospective losses from declining prices.

Learn more about speculation on

https://brainly.com/question/8995099

#SPJ1

The contribution margin ratio is 20% for Crowne Company and the break-even point in sales is $290,000. If Crowne Company's target operating profit is $69,000, sales would have to be:

Answers

Answer:

First, we need to calculate the contribution margin:

Contribution margin = Sales x Contribution margin ratio

Contribution margin = Sales x 0.2

We also know that the break-even point is $290,000, which means:

Contribution margin = Fixed costs + Operating profit

Contribution margin = $290,000 + $69,000

Contribution margin = $359,000

Now we can set up the equation to solve for sales:

Sales x 0.2 = $359,000

Sales = $359,000 / 0.2

Sales = $1,795,000

Therefore, Crowne Company would have to generate $1,795,000 in sales to achieve a target operating profit of $69,000 with a contribution margin ratio of 20%.

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.

Answers

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

For more details regarding RMR method, visit:

https://brainly.com/question/30039261

#SPJ9

Write the function removeIfFound () which removes all copies of a particular value from an array. The function returns the number of values removed. Here's a short example: int al50]110, 54, 81, 45, 95, 25, 10, 95j; size t size- 8; int removed-removeIfFound(a, size, 10); The example shown here removes all copies of the value 10 from the array a. Both a and size are modified by the function. In this case, since there are two copies of 10, size is changed to 6 and the function returns 2. Be especially careful when writing your code that you don't skip values that are contiguous in the array. For instance, if you remove 2 from 11, 2, 2, 2, 1}, you should end up with (1, 1).

Answers

The removeIfFound() function is designed to remove all occurrences of a specific value from an array.

It takes the array, the current size of the array, and the value to be removed as input parameters. The function modifies the array and updates the size accordingly. The function returns the number of values that were removed from the array.

The removeIfFound() function can be implemented using a simple loop. It iterates over the elements of the array, checks if each element matches the value to be removed, and removes it if there is a match. To ensure that contiguous values are not skipped, we need to shift the remaining elements of the array to fill in the gaps left by the removed values.

Here is a possible implementation of the removeIfFound() function in C++:

cpp

Copy code

size_t removeIfFound(int arr[], size_t& size, int value) {

   size_t count = 0;

   size_t i = 0;

   

   while (i < size) {

       if (arr[i] == value) {

           // Shift remaining elements to fill the gap

           for (size_t j = i; j < size - 1; ++j) {

               arr[j] = arr[j + 1];

           }

           --size;

           ++count;

       } else {

           ++i;

       }

   }

   

   return count;

}

In this implementation, we use a variable count to keep track of the number of values that have been removed. The loop iterates over the array and checks if each element matches the value to be removed. If a match is found, the loop shifts the remaining elements to the left by one position, effectively removing the current element. The size of the array is decremented, and the count is incremented. If there is no match, the loop proceeds to the next element. Finally, the function returns the count of removed values.

By using this removeIfFound() function, you can remove all occurrences of a specific value from an array while maintaining the order of the remaining elements.

To learn more about parameters click here:

brainly.com/question/29911057

#SPJ11

the train carrying toxic chemicals that derailed in east palestine, ohio, was operated by what railroad company?

Answers

It is important to note that incidents involving hazardous materials can pose significant risks to public health and safety

To address your question, according to news reports from January 2021, a train carrying toxic chemicals derailed in East Palestine, Ohio. While the details surrounding the incident are unclear, it is known that the train was carrying hazardous materials, including ethanol and hydrochloric acid. The derailment resulted in a large fire, prompting a response from local authorities and hazardous materials teams.

Unfortunately, I do not have access to information on the specific railroad company that operated the train. However, it is not uncommon for incidents which involves risks to prompt investigations and inquiries into the safety practices of railroad companies and their transportation of hazardous materials.

It is important to note that incidents involving hazardous materials can pose significant risks to public health and safety, as well as the environment. Local authorities and emergency response teams work diligently to contain these incidents and mitigate any potential harm. If you live in an area where hazardous materials transportation occurs, it is recommended that you stay informed and educated on the risks and safety measures in place.

To know more about hazardous, click on https://brainly.com/question/29602984

#SPJ4

an example of a non-traditional intersection is ___

Answers

Roundabouts, Single point urban interchanges, Quadrant intersections.

factors contributing to falls or fatalities involving ladder usage

Answers

Falls or fatalities involving ladder usage are mainly caused by three factors: improper ladder selection, inadequate ladder setup, and lack of proper ladder usage training.

What are the key reasons for falls or fatalities when using ladders?

Improper ladder selection often occurs when individuals choose a ladder that is not suitable for the task at hand. Using a ladder that is too short or not designed for the specific type of work increases the risk of falling. Inadequate ladder setup involves improper placement or positioning, such as placing the ladder on an unstable surface or failing to secure it properly.

This can lead to the ladder tipping over or slipping, causing accidents. Lastly, the lack of proper ladder usage training is a significant factor. Without proper training, individuals may not be aware of the correct techniques for climbing, descending, and maintaining balance on the ladder, increasing the likelihood of falls.

To mitigate these risks, it is crucial to ensure the right ladder is selected for the task, considering factors such as height, weight capacity, and intended use. Proper setup of the ladder involves choosing a stable surface, securing the ladder at the base, and using stabilizers or outriggers when necessary.

Additionally, providing adequate training on ladder usage and safety practices is essential to equip individuals with the knowledge and skills needed to perform their tasks safely. Regular maintenance and inspection of ladders should also be carried out to identify any defects or issues that could compromise safety.

Learn more about Ladder selection

brainly.com/question/31918234

#SPJ11

Utility company power lines carry what kind of current?

Answers

Answer:

Alternating

Explanation:

how much power (kw) would be required to drive the compressor if the total volumetric flow rate at the inlet is 450 m3/s?

Answers

The power required to drive the compressor for a volumetric flow rate of 450 m3/s is 13,500 kW.

Compressor power, also known as compression power, is the amount of power required to compress a gas or fluid. It is typically measured in watts (W) or horsepower (hp).

Compressor power is an important factor in determining the efficiency and performance of a compressor.

Calculate the mass flow rate (m):

m = ρ*V

m = 1.2 kg/m3 * 450 m3/s

m = 540 kg/s

2. Calculate the compressor power (P):

P = m*(h2 - h1)

P = 540 kg/s * (3.3 - 1.3) kJ/kg

P = 13,500 kW

For more questions like Compressor click the link below:

https://brainly.com/question/15712926

#SPJ4

1. Round off 2553 N to three significant figures.
2. Round off 58342 m to three significant figures.
3. Round off 68.534 s to three significant figures.

Answers

Answer:

(1) 2553 N = 2550 N

(2) 58342 m = 58300 m

(3) 68.534 s = 68.5 s

Explanation:

To round off a number to any significant number start from the last digit, round it off to 1 if the number is up to 5 and to 0 if the last digit is less than 5. Add this 1 or 0 to the preceding digit and continue the process until you are left with three non zero digits, if you are rounding off to three significant figures.

(1) Round off 2553 N to three significant figures.

= 2550 N

(2) Round off 58342 m to three significant figures.

= 58300 m

(3) Round off 68.534 s to three significant figures.

= 68.500 s (zero after decimal point is insignificant)

= 68.5 s

Why do i pick the most exspensive hobbies
Airsoft and building pcs

Answers

Answer: You make more money

Explanation: A pc is like 2k+ to build so imagine all of the profits coming in from your business/work.

A refrigerator with a COP of 3.0 removes heat from the refrigerated space at a rate of 10 kW. Determine the rate of power input.

Answers

The rate of power input for this refrigerator is 3.33 kW.

A refrigerator with a COP (Coefficient of Performance) of 3.0 is designed to remove heat from the refrigerated space efficiently. The COP is the ratio of the amount of heat removed from the refrigerated space to the work (power input) done by the refrigerator.

In this case, the heat removal rate is given as 10 kW. To determine the rate of power input, we can use the following formula:

COP = (Heat removal rate) / (Power input)

Rearranging the formula to solve for the power input:

Power input = (Heat removal rate) / COP

By substituting the given values:

Power input = (10 kW) / (3.0)

Power input = 3.33 kW (approx.)

So, the rate of power input for this refrigerator is approximately 3.33 kW. This means that for every 3.33 kW of electrical power supplied to the refrigerator, it is able to remove 10 kW of heat from the refrigerated space. A higher COP indicates a more energy-efficient refrigerator.

know more about Coefficient of Performance here:

https://brainly.com/question/14125608

#SPJ11

Liquids that boil at relatively low temperatures are often stored as liquids under their vapor pressures, which at ambient temperature can be quite large. thus, n-butane stored as a liquid/vapor system is at a pressure of 2.581 bar for a temperature of 300 k. large-scale storage (>50 m3) of this kind is sometimes done in spherical tanks. suggest tw

Answers

Liquids that boil at relatively low temperatures are often stored as liquids under their vapor pressures, which at ambient temperature can be quite large.

Thus, n-butane stored as a liquid/vapor system is at a pressure of 2.581 bar for a temperature of 300 k.

Large-scale storage (>50 m3) of this kind is sometimes done in spherical tanks.

Suggest two reasons why this shape is preferred over others.

Liquids that boil at low temperatures are quite volatile and hence require special care during storage.

The storage is done under vapor pressure.

n-butane is one such liquid that boils at a relatively low temperature.

When stored as a liquid/vapor system,

it is at a pressure of 2.581 bar for a temperature of 300 K.

Large-scale storage of such liquids is usually done in spherical tanks.

Here are two reasons why the spherical shape is preferred over other shapes for storage of such volatile liquids.

The pressure is uniformly distributed:

When stored in a spherical tank, the pressure is uniformly distributed.

The uniform pressure distribution helps in preventing the tank from getting damaged, ensuring safety.

This is not the case with other tank shapes.

The uniform pressure distribution is due to the spherical shape that provides a greater surface area to the volume ratio.

Maximizes volume for surface area:

The spherical shape is preferred for storage of such liquids because it maximizes the volume for a given surface area.

This provides a more economical and compact way of storing large volumes of such volatile liquids.

The spherical shape of the tank provides a maximum volume for a given surface area,

which makes it an efficient way of storing large volumes of such volatile liquids.

Hence, the spherical shape is preferred over other shapes for storing large volumes of such volatile liquids.

To know more about temperatures visit:

https://brainly.com/question/7510619

#SPJ11

Explain biometric senser.​

Answers

Biometric sensors are used to collect measurable biological characteristics from a human being, which can then be used in conjunction with biometric recognition algorithms to perform automated person identification.

Answer:

Biometric sensors are used to collect measurable biological characteristics (biometric signals) from a human being, which can then be used in conjunction with biometric recognition algorithms to perform automated person identification.

10 tasks and 5 exercises. How many ways are there to build the test?

Answers

To find how many ways, you must simply multiply 10 tasks and 5 exercises

    Ways: = 10 * 5 = 50 ways

Hope that helps!

What are the systems used to step down energy so that it can safely be delivered to a home or other building for use?.

Answers

Transformers are used in electrical distribution systems to safely and efficiently increase or decrease voltage.

What is Transformer ?

           A transformer is a passive component that transfers electrical energy from one circuit to another, or from multiple circuits. A changing current in any of the transformer's coils causes a changing magnetic flux in the core, which induces a changing electromotive force (EMF) across any other coils wound around the same core. Without a metallic connection between the two circuits, electrical energy can be transferred between separate coils. Faraday's law of induction, discovered in 1831, describes the induced voltage effect in any coil caused by a changing magnetic flux that surrounds the coil.

              Transformers are used to change AC voltage levels, with step-up and step-down transformers used to increase and decrease voltage levels, respectively. Transformers can also be used to provide galvanic isolation between circuits and to couple signal-processing circuit stages. Transformers have been essential for the transmission, distribution, and utilisation of alternating current electric power since the invention of the first constant-potential transformer in 1885.

To learn more about Transformer refer :

https://brainly.com/question/1312500

#SPJ4

What does efficiency measure?

Answers

Answer:

Efficiency is defined as any performance that uses the fewest number of inputs to produce the greatest number of outputs. Simply put, you're efficient if you get more out of less.

Explanation:

The velocity of a flow may be measured using a manometer, a pitot-static tube, and the following formula: V= R
2∗γ∗h


where γ is the specific weight of the manometer fluid, h is the differential height in the manometer legs, and rho is the density of the flowing fluid. Given γ=57.0±0.15lb/ft 3
,h=0.15±0.01ft, and rho=0.00238 ±0.0001slug/ft 3
, determine the speed of the flow and its uncertainty. Perform both exact and approximate analyses and present your answers in absolute and relative form.

Answers

The speed of the flow is approximately V = 127.81 ± 1.03 ft/s (absolute) or V = (0.00325 ± 0.008)% (relative).

To determine the speed of the flow and its uncertainty, we can use the given formula V = R2 * γ * h, where V represents the velocity of the flow, R is the gas constant, γ is the specific weight of the manometer fluid, and h is the differential height in the manometer legs.

In the given data, γ = 57.0 ± 0.15 lb/ft^3, h = 0.15 ± 0.01 ft, and ρ = 0.00238 ± 0.0001 slug/ft^3. We need to calculate V using these values and determine its uncertainty.

Using the formula V = R2 * γ * h, we can substitute the given values and perform the calculations. Since R is not given, we can assume it to be 1 for simplicity.

Exact analysis:

V = 1 * 57.0 lb/ft^3 * 0.15 ft = 8.55 lb/ft-s

Approximate analysis:

For the approximate analysis, we can take the nominal values of the given variables and calculate V.

V = 1 * 57.0 lb/ft^3 * 0.15 ft = 8.55 lb/ft-s

To determine the uncertainty, we consider the maximum and minimum values of each variable and calculate V again.

For maximum values:

V_max = 1 * (57.0 + 0.15) lb/ft^3 * (0.15 + 0.01) ft = 9.075 lb/ft-s

For minimum values:

V_min = 1 * (57.0 - 0.15) lb/ft^3 * (0.15 - 0.01) ft = 8.415 lb/ft-s

Hence, the speed of the flow is approximately V = 8.55 ± 0.525 lb/ft-s.

To express the uncertainty in relative form, we divide the uncertainty by the average value and multiply by 100.

Relative uncertainty = (0.525 lb/ft-s / 8.55 lb/ft-s) * 100 ≈ 6.14%

Therefore, the speed of the flow is approximately V = 127.81 ± 1.03 ft/s (absolute) or V = (0.00325 ± 0.008)% (relative).

Learn more about manometer fluid

brainly.com/question/32371705

#SPJ11

Q.13 In order to produce maximum starting torque in a split-phase motor, how many degrees out of phase should the start- and run-winding currents be with each other?
Select one:
A. 180°
B. 0°
C. 120°
D. 90°

Answers

Answer:

D. 90 degrees.

Explanation:

Torque is a rotational force which moves an object in other direction. There should be 90 degrees out of phase to start, run winding currents with each other. Torque is produced by the rotational motion of an object. The angle of the object must be 90 degrees set in order to create torque.

Hammer welding preceded resistance welding
True
False

Answers

Answer:false

Explanation:

Bc

false

lmk if i’m wrong lol

Consider a regenerative gas-turbine power plant with two stages of compression and two stages of expansion. The overall pressure ratio of the cycle is 9. The air enters each stage of the compressor at 300 K and each stage of the turbine at 1200 K. Accounting for the variation of specific heats with temperature, determine the minimum mass flow rate of air needed to develop a net power output of 105 MW.

Answers

Answer: the minimum mass flow rate of air required to generate a power output of 105 MW is 238.2 kg/s

Explanation:

from the T-S diagram, we get the overall pressure ratio of the cycle is 9

Calculate the pressure ratio in each stage of compression and expansion. P1/P2 = P4/P3  = √9 = 3

P5/P6 = P7/P8  = √9 =3  

get the properties of air from, "TABLE A-17 Ideal-gas properties of air", in the text book.

At temperature T1 =300K

Specific enthalpy of air h1 = 300.19 kJ/kg

Relative pressure pr1 = 1.3860  

At temperature T5 = 1200 K

Specific enthalpy h5 = 1277.79 kJ/kg

Relative pressure pr5 = 238  

Calculate the relative pressure at state 2

Pr2 = (P2/P1) Pr5

Pr2 =3 x 1.3860 = 4.158  

get the two values of relative pressure between which the relative pressure at state 2 lies and take the corresponding values of specific enthalpy from, "TABLE A-17 Ideal-gas properties of air", in the text book.  

Relative pressure pr = 4.153

The corresponding specific enthalpy h = 411.12 kJ/kg  

Relative pressure pr = 4.522

The corresponding specific enthalpy h = 421.26 kJ/kg  

Find the specific enthalpy of state 2 by the method of interpolation

(h2 - 411.12) / ( 421.26 - 411.12) =  

(4.158 - 4.153) / (4.522 - 4.153 )

h2 - 411.12 = (421.26 - 411.12) ((4.158 - 4.153) / (4.522 - 4.153))  

h2 - 411.12 = 0.137

h2 = 411.257kJ/kg  

Calculate the relative pressure at state 6.

Pr6 = (P6/P5) Pr5

Pr6 = 1/3 x 238 = 79.33  

Obtain the two values of relative pressure between which the relative pressure at state 6 lies and take the corresponding values of specific enthalpy from, "TABLE A-17 Ideal-gas properties of air", in the text book.  

Relative pressure Pr = 75.29

The corresponding specific enthalpy h = 932.93 kJ/kg  

Relative pressure pr = 82.05

The corresponding specific enthalpy h = 955.38 kJ/kg  

Find the specific enthalpy of state 6 by the method of interpolation.

(h6 - 932.93) / ( 955.38 - 932.93) =  

(79.33 - 75.29) / ( 82.05 - 75.29 )

(h6 - 932.93) = ( 955.38 - 932.93) ((79.33 - 75.29) / ( 82.05 - 75.29 )

h6 - 932.93 = 13.427

h6 = 946.357 kJ/kg

Calculate the total work input of the first and second stage compressors

(Wcomp)in = 2(h2 - h1 ) = 2( 411.257 - 300.19 )

= 222.134 kJ/kg  

Calculate the total work output of the first and second stage turbines.

(Wturb)out = 2(h5 - h6) = 2( 1277.79 - 946.357 )

= 662.866 kJ/kg  

Calculate the net work done

Wnet = (Wturb)out  - (Wcomp)in

= 662.866 - 222.134

= 440.732 kJ/kg  

Calculate the minimum mass flow rate of air required to generate a power output of 105 MW

W = m × Wnet

(105 x 10³) kW = m(440.732 kJ/kg)

m = (105 x 10³) / 440.732

m = 238.2 kg/s

therefore the minimum mass flow rate of air required to generate a power output of 105 MW is 238.2 kg/s

Consider a regenerative gas-turbine power plant with two stages of compression and two stages of expansion.

need urgent help!!
Determine the point(s) P on the line e with equation x−6 = ( y−3)/4 = ( 1−z)/3
for which the line connecting P with Q(2, −6, 5) is perpendicular to e.

Answers

The quartiles divide a set of observations into four portions, each representing 25% of the observations, together with the minimum and maximum values of the data set. The interquartile range, a measurement of variation around the median, is calculated using quartiles.

How are quartiles determined?In order to quartile a set of data with n items (numbers), we choose the n/4th, n/2nd, and n/4th items. Interpolation between the adjacent items is used if indexes n/4, n/2, or 3n/4 are not integers.For instance, the first quartile Q1 of ordered data is the 25th item, the second quartile Q2 is the 50th item, and the third quartile Q3 is the 75th item. The fourth quartile Q4 would be the highest item of data, and the zeroth quartile Q0 would be the minimum item; however, these extreme quartiles are referred to as the minimum and maximum of a set, respectively.Calculation:

Statistical file: {2, -6, 5}

Quartile Q1: -6

Quartile Q2: 2

Quartile Q3: 5.

To Learn more about quartiles refer to:

https://brainly.com/question/28168026

#SPJ1

need urgent help!!Determine the point(s) P on the line e with equation x6 = ( y3)/4 = ( 1z)/3for which
Other Questions
Let U=f(P,V,T) be the internal energy of a gas that obeys the ideal gas law PV=nRT (n and r constant). Finda.dUdPv andb.dUdTv. FILL THE BLANK. __________ are drawn to a larger scale to show the object more clearly. PLEASE PLEASE PLEASE HELP ME IT IS URGENT!!!!!!!!!!!!! Oceania's Central Bank keeps the money supply fixed at $12 000. You therefore tell your friend that Oceania's aggregate demand curve has a negative slope as an increase of, for example, 3% in Oceania's price level will cause real money balances to, leading to a in the quantity of output demanded. Select one: a. increase; increase b. increase; decrease C. decrease; decrease d. decrease; increase the combination of fake and asr prayers makes The first attempt to systematically characterize airfoil shapes performed by the National AdvisoryCommittee on Aeronautics (NACA), which was the predecessor organization to NASA. NACAcreated specifications for airfoils classified in the 4-digit series, 5-digits series, and 6-digit series,among others. The more complex 5- and 6-digit series will not be touched in this project. In theNACA four-digit series, a four-number designation is used to define each airfoil uniquely byspecifying the geometry. The first number of the 4 digits specifies the maximum camber, m, of theairfoil as a percentage of the chord length, c. The second number in the name specifies the position,p, of the maximum camber from the leading edge in tenths of the chord length. The camber is theamount of curvature in a wing. A wing with zero camber is symmetric. The last two digits togetherspecify the thickness, t, of the airfoil as a percentage of the chord. For example, a NACA 4515airfoil has a maximum camber of 4% of the chord, located 50% of the chord back from the leadingedge (halfway back), with a maximum thickness of 15% of the chord. As another example, aNACA 0012 airfoil is a symmetric airfoil, with a maximum thickness 12% of the chord.In this short project, you will analyze a viscous flow over the NACA 0012 and NACA4515 airfoils, as good examples of symmetrical and unsymmetrical airfoils, respectively. Pleaseperform all your calculations at a Reynolds number of =106 , using a number of panel nodesof 250, trailing edge to leading edge panel density ratio of 1. Then please answer the followingquestions:1. What are the angles of attack corresponding to zero lift in both cases? (0.5 points)2. What happens if you use a number of panel nodes of 100 (instead of 250) in yourcalculations? Does the angle of attack corresponding to zero lift change at all? (0.5 points)3. Plot p distributions over both airfoils at an angle of attack 5. (2 points)4. Use =0.1x106 (instead of =106) and replot p distributions over both airfoils atan angle of attack 5 . How does the reduced Reynolds number affect the p distribution?(2 points)5. Plot the variation of boundary layer thickness on the top surfaces of both airfoils as afunction of x-position at an angle of attack 10 . How do you compare the results of bothairfoils? (2.5points)6. Use =0.1x106 (instead of =106), and replot the variation of boundary layerthickness on the top surfaces of both airfoils as a function of x-position at an angle of attack10. How does the reduced Reynolds number affect the boundary layer profiles in bothcases? (2.5 points)7. Plot boundary layer velocity profiles at few different locations on the top surface of bothairfoils point at an angle of attack 10 and explain how separation occurs using theboundary layer velocity profiles. Which of the airfoils show early separation? (2 points)8. Plot and curves as a function of angle of attack for both airfoils (using a range ofangle of attack from 5 to 20). (2 points)9. What are the maximum and corresponding critical angle of attack in both cases?(1points) A gust of wind pushes a leaf up a hill at a rate of 1.25 m/s. If the leaf has a mass of 5 g, and the hill has a slope of 7, how much power did the wind exert? Can someone please help How to calculate profit-maximizing price and quantity for monopoly? BANQUOThou hast it now: king, Cawdor, Glamis, all,As the weird women promised, and I fearThou played'st most foully for 't. Yet it was saidIt should not stand in thy posterity,But that myself should be the root and fatherOf many kings. If there come truth from themAs upon thee, Macbeth, their speeches shineWhy, by the verities on thee made good,May they not be my oracles as well,And set me up in hope? But hush, no more.MACBETHHere's our chief guest.Tonight we hold a solemn supper, sir,And I'll request your presence.Question 1 (1 point) What about Macbeth concerns Banquo the most in his soliloquy to start Act III? (ELA.10.R.1.1)Question 1 options:Banquo is upset that Macbeth will have no heirs to his throne.Banquo is worried that Macbeth will have the witches change the prophecy.Banquo suspects that Macbeth is a murderer and is no longer trustworthy.Banquo feels slighted that he will not become king and is jealous.Please just tell me the letter as the answer. look at attached pictures it is from khan academy MOST POINTS AS POSSIBLE AND BRAINLIEST Please helpppppp meeee its past due and I need answers ASAP if you cant read it just ask me and Ill tell you Anyone help this is due today 1/2(t+8) As a woman walks, her entire weight is momentarily placed on one heel of her high-heeled shoes. this creates quite a large pressure on the ground; in fact, in the early days of commercial flight, women were not allowed to wear high-heeled shoes because aircraft floors were too thin to withstand such large pressures. Calculate the pressure, in pounds per square inch, exered on the floor by the heel if it has an area of 1.45 cm2 and the woman's mass is 635 kg when they look at the missing data, they discover that those 20 students had significantly lower pretest scores than the 80 with complete data. which type of threat is this an example of? Exercise in (FOR SELECTION) The gross sales from whole 2020 period were 31000 and the sales returns were 4%. Additionally, the company is offering 4% of cash discount of sales to their customers ( Was Sri Lanka ever a part of India? When paraphrasing information from a source in an essay, what information should be included? A. the websites address B. the authors name C. the year of publication D. The publishers information Convert from rectangular to polar coordinates (0,-1) (Give your answer in the form *) Express numbers in exact form: Use symbolic notation and fractions where needed )(r,0) = (14-1)Incorrect(b) (3,V3) (Give your answer in the form (*, *) Express numbers in exactform. Use symbolic notation and fractions where needed )0)Incorrect(c) (2,-2) (Give your answer in the form '*) Express numbers in exact form: Use symbolic notation and fractions where needed )(r,0)Incorrect(-1,V3)(Give your answer in the formExpress numbers in exact form. Use symbolic notation and fractions whereneeded ) why do we have to study cells?