The object-oriented principle of polymorphism means that different classes can have different behaviors for the same operation.
Polymorphism is one of the core concepts of object-oriented programming (OOP) and it helps describe situations in which something occurs in several different forms. It allows objects of different classes to be treated as objects of a common superclass, enabling the same function or method to be applied to them, while exhibiting different behaviors depending on the actual class of the object.
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The object-oriented principle you're looking for is called "polymorphism." Polymorphism means that different classes can have different behaviors for the same operation. This allows for more flexibility and easier code maintenance in object-oriented programming
The object-oriented principle of polymorphism means that different classes can have different behaviors for the same operation. This is achieved through the use of methods that are overridden or implemented differently in each class, allowing for flexibility and customization in the behavior of objects. Content loaded with the object-oriented principle of polymorphism can provide dynamic and adaptable solutions to programming challenges.Polymorphism means "many forms", and it occurs when we have many classes that are related to each other by inheritance. Like we specified in the previous chapter; Inheritance lets us inherit attributes and methods from another class. Polymorphism uses those methods to perform different tasks.
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An engine has been diagnosed with blowby. Technician a says the engine could have a cracked flywheel. Technician b says the compression rings could be worn. Who is right?.
When an engine has been diagnosed with blowby, technician B is only correct who states that the compression rings could be worn.
Engine blowby happens when a mixture of combustion gases or air-fuel leaks between the pistons and cylinder wall into the crankcase of the engine because of the lose pistons's rings. Engine blowby can occur within both gas and diesel engines. Minor levels of engine blowby are normal but excessive levels of engine blowby are an indicator of larger issues. So technician B says correctly.
While technician A is not right to say that a cracked flywheel could be a reason for the blowby engine.
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Suppose you need to design a single stub tuner to match a load of Z L
= 20+j45 to a feed line with characteristic impedance Z ∘
=50Ω. (a) What is the longer of the two options for d, the length of the series transmission line? i. If you use the longer option for d, what should the length ℓ be of an open circuit stub? ii. If you use the longer option for d, what should be the length ℓ of a short circuit stub? (b) What is the shorter of the two options for d, the length of the series transmission line? i. If you use the shorter option for d, what should the length ℓ be of an open circuit stub? ii. If you use the shorter option for d, what should the length ℓ be of a short circuit stub?
To match a load of ZL = 20+j45 to a 50Ω feed line using a single stub tuner, the longer option for the length d of the series transmission line should be chosen. In this case, the length ℓ of an open circuit stub should be approximately λ/4, and the length ℓ of a short circuit stub should be approximately 3λ/4.
A single stub tuner is a technique used to match a load impedance to a transmission line with a different characteristic impedance. The stub tuner consists of a series transmission line and a stub connected to it. The length of the series transmission line, d, is chosen to achieve the desired impedance transformation.
(a) Longer option for d:
To determine the longer option for d, we need to calculate the electrical length of the load impedance from the characteristic impedance. Using the formula:
\(d =\frac{\beta}{2} \times (\frac{Z_L}{Z_0} - 1)\), where β is the propagation constant and Z0 is the characteristic impedance.
Assuming the transmission line is operating at its fundamental frequency, we can calculate β using β = 2π/λ, where λ is the wavelength of the signal. Once we have d, we can determine the length of the stubs.
i. Open circuit stub length:
For an open circuit stub, the length ℓ is approximately λ/4, where λ is the wavelength corresponding to the frequency of operation.
ii. Short circuit stub length:
For a short circuit stub, the length ℓ is approximately 3λ/4.
(b) Shorter option for d:
To determine the shorter option for d, we follow the same process as in (a). Once we have d, we can calculate the lengths of the stubs.
i. Open circuit stub length:
For the shorter option of d, the length ℓ of the open circuit stub is approximately 3λ/4.
ii. Short circuit stub length:
For the shorter option of d, the length ℓ of the short circuit stub is approximately λ/4.
In conclusion, to match the load impedance of ZL = 20+j45 to a 50Ω feed line using a single stub tuner, the longer option for d should be chosen. The length of the open circuit stub should be approximately λ/4, and the length of the short circuit stub should be approximately 3λ/4.
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Your job is to perform the steps of MapReduce to calculate a count of the number of squares, stars, circles, hearts and triangles in a dataset.Step 0: Store the dataset across 4 partitions in HDFS.
Note: we have already done one partition for you. Hint: Balance the load, but there is more than on possible "correct" partitioning.
Step 1: Map the data.
Hint: Mapping involves clustering like keys together. Show this in the visual placement of keys within a partition.
Step 2: Sort and Shuffle.
Note: as mentioned in lecture, you don't have to use the same number of nodes in this step as you did before. Let's use three instead. Hint: Balance the load.
Step 3: Reduce to calculate the final counts.
Hint: Fill in the blank lines to finalize the key-value pairs
Answer:
Explanation:
Step 0: Store the dataset across 4 partitions in HDFS.
Partition 1 (already done):
- Partition 1 contains a subset of the dataset.
Partition 2:
- Partition 2 contains another subset of the dataset, balancing the load across the partitions.
Partition 3:
- Partition 3 holds a portion of the dataset to distribute the data evenly.
Partition 4:
- Partition 4 stores the remaining part of the dataset, ensuring load balance across all partitions.
Step 1: Map the data.
In this step, we cluster similar keys together within each partition.
Partition 1:
- Map function clusters keys: squares, stars, circles, hearts, triangles.
Partition 2:
- Map function clusters keys: squares, stars, circles, hearts, triangles.
Partition 3:
- Map function clusters keys: squares, stars, circles, hearts, triangles.
Partition 4:
- Map function clusters keys: squares, stars, circles, hearts, triangles.
Step 2: Sort and Shuffle.
In this step, we sort and shuffle the data across three nodes while maintaining load balance.
Node 1:
- Receives and processes data from Partition 1, Partition 2, and Partition 3.
Node 2:
- Receives and processes data from Partition 1, Partition 2, and Partition 4.
Node 3:
- Receives and processes data from Partition 3 and Partition 4.
Step 3: Reduce to calculate the final counts.
In this step, we perform the final reduction to calculate the counts for each key.
Node 1:
- Reduce function calculates the count of squares: count_squares = _____.
- Reduce function calculates the count of stars: count_stars = _____.
Node 2:
- Reduce function calculates the count of circles: count_circles = _____.
- Reduce function calculates the count of hearts: count_hearts = _____.
Node 3:
- Reduce function calculates the count of triangles: count_triangles = _____.
By following these steps of MapReduce, we can calculate the final counts for squares, stars, circles, hearts, and triangles in the dataset.
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Demonstrate the Current Divider formula for the following circuit.
Answer:
Demonstrate the Current Divider formula for the following circuit.
Explanation:
The Current Divider Rule allows us to calculate the current flowing through each parallel resistive branch as a percentage of the total current.
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.
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
1. A thin-walled cylindrical pressure vessel is capped at the end and is subjected to an internal pressure (p). The inside diameter of the vessel is 6 ft and the wall thickness is 1.5 inch. The vessel is made of steel with tensile yield strength and compressive yield strength of 36 ksi. Determine the internal pressure required to initiate yielding according to (a) The maximum-shear-stress theory of failure, and (b) The maximum-distortion-energy theory of failure, if a factor of safety (FS) of 1.5 is desired.
I have an AC waveform with the voltage peak value of 100 V. I'm trying to find the RMS value of the voltage
Answer:
98 x 100=9,00
Explanation:
If two current are in the same direction at any instant of time in a given branch of a circuit, the net current at that instant
If two currents are in the same direction at any instant of time in a given branch of a circuit, the net current at that instant will be the sum of the two individual currents. In other words, the net current is the algebraic sum of the two currents.
How can this be illustrated?For example, if one current is 2 amperes and the other current is 3 amperes, and they are flowing in the same direction in a given branch of the circuit, then the net current at that instant will be 5 amperes (2 + 3 = 5).
It's important to note that this only applies at a specific instant in time, and the net current may change as the circuit changes or the currents vary.
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Which of the following is false about most machine learning models?
They require numbers or collections of numbers as input.
They are flexible enough to handle all issues you might see in your dataset (lack of data, incorrect data, etc)
They are trained by iteratively adjusting their parameters to minimize a loss function.
Once trained, their model parameters can be used to make new predictions in a process called a “model inference algorithm.”
The false statement about most machine learning models is that: B. they are flexible enough to handle all issues you might see in your dataset (lack of data, incorrect data, etc).
What is machine learning?Machine learning (ML) is also referred to as deep learning or artificial intelligence (AI) and it can be defined as a subfield in computer science which is typically focused on the use of data-driven techniques (methods), computer algorithms, and technologies to develop a smart computer-controlled robot with an ability to automatically perform and manage tasks that are exclusively meant for humans or solved by using human intelligence.
Generally speaking, machine learning models are designed and developed to accept numerical data (numbers) or collections of numerical data (numbers) as an input.
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A body, with a volume of 2 m3, weighs 40 kN.
Determine its weight when submerged in a liquid
with S 1.59.
Answer:
The weight of the body when submerged in the liquid will be (40 kN) * (1.59) = 63.6 kN.
Explanation:
Un buque de 500ton de desplazamiento tiene un KG de 5m y un KM de 7.5, la embarcación recibe un carga de 700ton con un KG de 4m. Calcule la cantidad de carga que puede llevar para que el buque navegue con un GM positivo de 0.3 y proponga la posición del centro de gravedad de la carga.
Answer:
500 kG con 0 .3Explanation:
700 gramosA lake with a surface area of 525 acres was monitored over a period of time. During onemonth period the inflow was 30 cfs (ie. ft3 /sec), the outflow was 27 cfs, and a 1.5 in seepage loss was measured. During the same month, the total precipitation was 4.25 inches. Evaporation loss was estimated as 6 inches. Estimate the storage change for this lake during the month.
Answer:
The storage of the lake has increased in \(4.58\times 10^{6}\) cubic feet during the month.
Explanation:
We must estimate the monthly storage change of the lake by considering inflows, outflows, seepage and evaporation losses and precipitation. That is:
\(\Delta V_{storage} = V_{inflow} -V_{outflow}-V_{seepage}-V_{evaporation}+V_{precipitation}\)
Where \(\Delta V_{storage}\) is the monthly storage change of the lake, measured in cubic feet.
Monthly inflow
\(V_{inflow} = \left(30\,\frac{ft^{3}}{s} \right)\cdot \left(3600\,\frac{s}{h} \right)\cdot \left(24\,\frac{h}{day} \right)\cdot (30\,days)\)
\(V_{inflow} = 77.76\times 10^{6}\,ft^{3}\)
Monthly outflow
\(V_{outflow} = \left(27\,\frac{ft^{3}}{s} \right)\cdot \left(3600\,\frac{s}{h} \right)\cdot \left(24\,\frac{h}{day} \right)\cdot (30\,days)\)
\(V_{outflow} = 66.98\times 10^{6}\,ft^{3}\)
Seepage losses
\(V_{seepage} = s_{seepage}\cdot A_{lake}\)
Where:
\(s_{seepage}\) - Seepage length loss, measured in feet.
\(A_{lake}\) - Surface area of the lake, measured in square feet.
If we know that \(s_{seepage} = 1.5\,in\) and \(A_{lake} = 525\,acres\), then:
\(V_{seepage} = (1.5\,in)\cdot \left(\frac{1}{12}\,\frac{ft}{in} \right)\cdot (525\,acres)\cdot \left(43560\,\frac{ft^{2}}{acre} \right)\)
\(V_{seepage} = 2.86\times 10^{6}\,ft^{3}\)
Evaporation losses
\(V_{evaporation} = s_{evaporation}\cdot A_{lake}\)
Where:
\(s_{evaporation}\) - Evaporation length loss, measured in feet.
\(A_{lake}\) - Surface area of the lake, measured in square feet.
If we know that \(s_{evaporation} = 6\,in\) and \(A_{lake} = 525\,acres\), then:
\(V_{evaporation} = (6\,in)\cdot \left(\frac{1}{12}\,\frac{ft}{in} \right)\cdot (525\,acres)\cdot \left(43560\,\frac{ft^{2}}{acre} \right)\)
\(V_{evaporation} = 11.44\times 10^{6}\,ft^{3}\)
Precipitation
\(V_{precipitation} = s_{precipitation}\cdot A_{lake}\)
Where:
\(s_{precipitation}\) - Precipitation length gain, measured in feet.
\(A_{lake}\) - Surface area of the lake, measured in square feet.
If we know that \(s_{precipitation} = 4.25\,in\) and \(A_{lake} = 525\,acres\), then:
\(V_{precipitation} = (4.25\,in)\cdot \left(\frac{1}{12}\,\frac{ft}{in} \right)\cdot (525\,acres)\cdot \left(43560\,\frac{ft^{2}}{acre} \right)\)
\(V_{precipitation} = 8.10\times 10^{6}\,ft^{3}\)
Finally, we estimate the storage change of the lake during the month:
\(\Delta V_{storage} = 77.76\times 10^{6}\,ft^{3}-66.98\times 10^{6}\,ft^{3}-2.86\times 10^{6}\,ft^{3}-11.44\times 10^{6}\,ft^{3}+8.10\times 10^{6}\,ft^{3}\)
\(\Delta V_{storage} = 4.58\times 10^{6}\,ft^{3}\)
The storage of the lake has increased in \(4.58\times 10^{6}\) cubic feet during the month.
The volume of water gained and the loss of water through flow,
seepage, precipitation and evaporation gives the storage change.
Response:
The storage change for the lake in a month is 1,582,823.123 ft.³How can the given information be used to calculate the storage change?Given parameters:
Area of the lake = 525 acres
Inflow = 30 ft.³/s
Outflow = 27 ft.³/s
Seepage loss = 1.5 in. = 0.125 ft.
Total precipitation = 4.25 inches
Evaporator loss = 6 inches
Number of seconds in a month is found as follows;
\(30 \ days/month \times \dfrac{24 \ hours }{day} \times \dfrac{60 \, minutes}{Hour} \times \dfrac{60 \, seconds}{Minute} = 2592000 \, seconds\)
Number of seconds in a month = 2592000 s.
Volume change due to flow, \(V_{fl}\) = (30 ft.³/s - 27 ft.³/s) × 2592000 s = 7776000 ft.³
1 acre = 43560 ft.²
Therefore;
525 acres = 525 × 43560 ft.² = 2.2869 × 10⁷ ft.²
Volume of water in seepage loss, \(V_s\) = 0.125 ft. × 2.2869 × 10⁷ ft.² = 2,858,625 ft.³
Volume gained due to precipitation, \(V_p\) = 0.354167 ft. × 2.2869 × 10⁷ ft.² = 8,099,445.123 ft.³
Volume evaporation loss, \(V_e\) = 0.5 ft. × 2.2869 × 10⁷ ft.² = 11,434,500 ft.³
\(Storage \, change \, \Delta V = \mathbf{V_{fl} - V_s + V_p - V_e}\)Which gives;
ΔV = 7776000 - 2858625 + 8099445.123 - 11434500 = 1582823.123
The storage change, ΔV = 1,582,823.123 ft.³Learn more about water resources and hydrology here:
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Once the external shape and internal features of a part are represented by a combination of lines, further information is provided by ____.
Once the external shape and internal features of a part are represented by a combination of lines, further information is provided by Dimension.
What is Shape Dimension?In regards to geometry, the three-dimensional shape is known to be one that can be said to be a form of solid figure or an object/shape that is of known to be made up of three dimensions which are length, width, and height.
Note that the three-dimensional shapes have height as well as thickness or depth.
Therefore, Once the external shape and internal features of a part are represented by a combination of lines, further information is provided by Dimension.
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TRUE/FALSE. rip protocol incurs more control communication overhead (i.e., exchange of routing updates) as compared to ospf protocol.
This is a true statement. The RIP (Routing Information Protocol) and OSPF (Open Shortest Path First) are both interior gateway protocols (IGPs) that determine the best path for data packets to reach their destination within a network.
However, RIP incurs more control communication overhead compared to OSPF. This is because RIP updates its routing tables every 30 seconds by broadcasting complete routing information to all its neighbors, regardless of whether there have been any changes in the network or not. OSPF, on the other hand, only sends incremental updates when there are changes in the network topology, reducing the amount of control communication overhead. Furthermore, OSPF also uses link-state advertisements (LSAs) instead of RIP's distance vector algorithm, resulting in more efficient routing table updates. In conclusion, OSPF is a more efficient and scalable protocol compared to RIP.
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Given the following code, explain what it does. const char * mysterious (const char *s, char f, long & w) const char * p = S; while (p != f &p != '\0') p++; WE (âp != '\0' ? P-S : -1); P = (p = '\0' ? P: nullptr): return p: A) calculates the length of the C-string-S-returning this in wand a pointer to the null character in p B) (linear) searches a C-string-s-for a certain character-f-returning (via w) the offset it found or -1 if not and the address (via p) if found or nullptr if not C) (binary) searches a C-string-s-for a certain character-f-returning (via w) the offset if found or -1 if not and the address (via p) if found or nullptr if not D) sorts the C-string-S-into descending or ascending order based on whether wis - 1 or not E) validates the theories espoused by various religious sects of the Disc World that no good deed goes unpun- ished and no good punishment is truly needed - most of the code is actually syntactic sugar, as such
(linear) searches a C-string --s-- for a certain character --f-- returning (via w) the offset it found or -1 if not and the address (via p) if found or nullptr if not. Option B.
The code starts by declaring a function called "mysterious" which takes in a C-string (s), a character (f), and a long variable (w) by reference. The function also returns a pointer to a character.
Inside the function, a new pointer variable "p" is created and assigned the value of "s". A while loop is then started which continues until either the character pointed to by "p" is equal to "f" or it reaches the end of the string ('\0').
Inside the while loop, "p" is incremented to point to the next character in the string. Once the loop ends, the function checks if the character pointed to by "p" is the null character ('\0'). If it is, it means the character "f" was not found in the string, so the function sets "p" to a nullptr and returns it.
If the character pointed to by "p" is not the null character, it means "f" was found in the string. The function then calculates the offset of "f" in the string by subtracting the starting address of the string "s" from the address pointed to by "p". This value is stored in the long variable "w".
Finally, the character pointed to by "p" is set to the null character ('\0'), effectively truncating the string at the location of "f". The function then returns the pointer variable "p".
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Analyze the example of this band saw wheel and axle. The diameter of the wheel is 14 inches. The diameter of the axle that drives the wheel is 3/4 inch. The actual force needed to cut through a one-inch-thick softwood board is 1.75 pounds. Consider the efficiency of this band saw to be 22%.
Questions: Calculate ideal mechanical advantage when the effort force is applied to the axle.
Questions: considering the efficiency calculate the actual mechanical advantage of the wheel and axle.
Questions: If you used the same wheel and axle in a different way and applied effort force to the wheel to drive the axle, what is the ideal mechanical advantage of the wheel and axle?
The answer for the ideal mechanical advantage and actual mechanical advantage for the different scenarios are;
A) Ideal Mechanical Advantage = 18.67
B) Actual Mechanical Advantage = 4.1067
We are given;
Input distance; The diameter of the wheel; d_w = 14 inches
Output distance; The diameter of the axle that drives the wheel; d_a = 3/4 inches
The force needed to cut a one-inch-thick softwood board; F = 1.75 pounds
The efficiency of the band saw; η = 22% = 0.22
A) Formula for Mechanical advantage is;
M.A = Force output/Force input = (Input distance)/(Output distance)
Thus;
Ideal mechanical advantage = 14/(3/4)
Ideal mechanical advantage = 18.67
B) Now, we are given that efficiency of the band saw is η = 22% = 0.22.
Thus using the mechanical advantage formula above;
Actual mechanical advantage = 0.22 × Expected output
Actual mechanical advantage = 0.22 × 18.67
Actual mechanical advantage ≈ 4.1067
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A(n) ______ is used to measure fluid flow in engineering
Answer:
A pitot tube is used to measure fluid flow in engineering
Air enters an adiabatic gas turbine at 1590 oF, 40 psia and leaves at 15 psia. The turbine efficiency is 80%, and the mass flow rate is 2500 lbm/hr. Determines:
a) The work produced, hp.
b) The exit temperature, oF.
Answer:
a) 158.4 HP.
b) 1235.6 °F.
Explanation:
Hello there!
In this case, according to the given information, it turns out possible for us to set up an energy balance for the turbine's inlets and outlets:
\(m_{in}h_{in}=W_{out}+m_{out}h_{out}\)
Whereas the mass flow is just the same, which means we have:
\(W_{out}=m_{out}(h_{out}-h_{in})\)
And the enthalpy and entropy of the inlet stream is obtained from steam tables:
\(h_{in}=1860.7BTU/lbm\\\\s_{in}= 2.2096BTU/lbm-R\)
Now, since we assume the 80% accounts for the isentropic efficiency for this adiabatic gas turbine, we assume the entropy is constant so that:
\(s_{out}= 2.2096BTU/lbm-R\)
Which means we can find the temperature at which this entropy is exhibited at 15 psia, which gives values of temperature of 1200 °F (s=2.1986 BTU/lbm-K) and 1400 °F (s=2.2604 BTU/lbm-K), and thus, we interpolate for s=2.2096 to obtain a temperature of 1235.6 °F.
Moreover, the enthalpy at the turbine's outlet can be also interpolated by knowing that at 1200 °F h=1639.8 BTU/lbm and at 1400 °F h=174.5 BTU/lbm, to obtain:
\(h_{out}=1659.15BUT/lbm\)
Then, the isentropic work (negative due to convention) is:
\(W_{out}=2500lbm/h(1659.15BUT/lbm-1860.7BUT/lbm)\\\\W_{out}=-503,875BTU\)
And the real produced work is:
\(W_{real}=0.8*-503875BTU\\\\W_{real}=-403100BTU\)
Finally, in horsepower:
\(W_{real}=-403100BTU/hr*\frac{1HP}{2544.4336BTU/hr} \\\\W_{real}=158.4HP\)
Regards!
(a) (6 points) Find the integer a in {0, 1,..., 26} such that a = -15 (mod 27). Explain. (b) (6 points) Which positive integers less than 12 are relatively prime to 12?
a. a = 12 is the solution to the given congruence relation. b. the positive integers less than 12 that are relatively prime to 12 are 1, 5, 7, and 11.
(a) The main answer: The integer a that satisfies a ≡ -15 (mod 27) is 12.
To find the value of a, we need to consider the congruence relation a ≡ -15 (mod 27). This means that a and -15 have the same remainder when divided by 27.
To determine the value of a, we can add multiples of 27 to -15 until we find a number that falls within the range of {0, 1,..., 26}. By adding 27 to -15, we get 12. Therefore, a = 12 is the solution to the given congruence relation.
(b) The main answer: The positive integers less than 12 that are relatively prime to 12 are 1, 5, 7, and 11.
Supporting explanation: Two integers are relatively prime if their greatest common divisor (GCD) is 1. In this case, we are looking for positive integers that have no common factors with 12 other than 1.
To determine which numbers satisfy this condition, we can examine each positive integer less than 12 and calculate its GCD with 12.
For 1, the GCD(1, 12) = 1, which means it is relatively prime to 12.
For 2, the GCD(2, 12) = 2, so it is not relatively prime to 12.
For 3, the GCD(3, 12) = 3, so it is not relatively prime to 12.
For 4, the GCD(4, 12) = 4, so it is not relatively prime to 12.
For 5, the GCD(5, 12) = 1, which means it is relatively prime to 12.
For 6, the GCD(6, 12) = 6, so it is not relatively prime to 12.
For 7, the GCD(7, 12) = 1, which means it is relatively prime to 12.
For 8, the GCD(8, 12) = 4, so it is not relatively prime to 12.
For 9, the GCD(9, 12) = 3, so it is not relatively prime to 12.
For 10, the GCD(10, 12) = 2, so it is not relatively prime to 12.
For 11, the GCD(11, 12) = 1, which means it is relatively prime to 12.
Therefore, the positive integers less than 12 that are relatively prime to 12 are 1, 5, 7, and 11.
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The one end of a hollow square bar whose side is (10.01) in with (1.01) in thickness is under a tensile stress 102,500 psi and the other end is connected with a U bracket using a double-pin system. Find the minimum diameter of pin is used according to shear strength. Take the factor of safety as 1.5 and σ_all=243 ksi for pin material.
Answer:
The one end of a hollow square bar whose side is (10+N/100) in with (1+N/100) in thickness is under a tensile stress 102,500 psi and the other end is connected with a U bracket using a double-pin system. Find the minimum diameter of pin is used according to shear strength. Take the factor of safety as 1.5 and σ_all=243 ksi for pin material.
Explanation:
Assuming you determine the required section modulus of a wide flange beam is 200 in3, determine the lightest beam possible that will satisfy this condition.
Answer:
W18 * 106
Explanation:
Given that the section modulus of the wide flange beam is 200 in^3 the lightest beam possible that can satisfy the section modulus must have a section modulus ≥ 200 in^3. also the value of the section modulus must be approximately closest to 200in^3
From wide flange Beam table ( showing the section modulus )
The beam that can satisfy the condition is W18 × 106 because its section modulus ( s ) = 204 in^3
Which three items below should a driver be able to identify under the hood of a car?
Answer:
Engine oil level.
Brake fluid.
Power steering fluid.
4) A chemist wishes to test the effect of different chemical agents and on the strength of different types of cloth. She selects three cloths and applies three chemicals in random order to each cloth two times. What is the best design to use? Write the statistical effects model and calculate the degrees of freedom for each term in the model.
The chemist can employ a two-factor factorial design, considering cloth type (factor A) and chemical agent (factor B) as the factors, each with three levels.
What is the statistical model to use?The statistical model is Y_ijk = µ + α_i + β_j + (αβ)_ij + ε_ijk, where Y_ijk is the observed strength, µ is the overall mean, α_i is the effect of the i-th cloth, β_j is the effect of the j-th chemical, (αβ)_ij is the interaction effect, and ε_ijk is the random error.
Degrees of Freedom (DF):
Cloth DF = (3-1) = 2
Chemical DF = (3-1) = 2
Interaction DF = (3-1)(3-1) = 4
Error DF = [332 - (2+2+4+1)] = 10
Total DF = 33*2 - 1 = 17.
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if the contactor contacts become burned or pitted it is possible that they could develop voltage drop
T/F
The given statement "if the contactor contacts become burned or pitted it is possible that they could develop voltage drop" is true because when the contactor contacts become burned or pitted, it can lead to voltage drop.
Can voltage drop occur if the contactor contacts are burned or pitted?When the contacts of a contactor become burned or pitted, it can lead to voltage drop. The contactor is an electrical switch used in various applications to control the flow of electricity. It consists of movable contacts that make or break the electrical circuit when energized. Over time, due to arcing and electrical currents passing through the contacts, they can become damaged and worn out.
Burned or pitted contacts have a reduced surface area for electrical conduction, which can impede the flow of current and result in voltage drop across the contactor. This can have detrimental effects on the performance of the electrical system, leading to issues such as reduced voltage at the load or increased power consumption.
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Water flows through a straight 10-cm-diameter pipe at a Reynolds number of 250,000. If the pipe roughness is 0.06 mm, what is the approximate Moody friction factor? (a) 0.015 (b) 0.017 (c) 0.019 (d) 0.026 (e) 0.032
The approximate Moody friction factor is 0.019 which is (c) in the given options. Given parameters: Diameter of pipe (D) = 10 cm = 0.1 m Reynolds number (Re) = 250,000Roughness of pipe (ε) = 0.06 mm = 0.00006 m
Calculation: The formula for Moody friction factor is given by f = (0.79 log (Re) - 1.64) ^ {-2}. So, we can calculate the Moody friction factor using the formula mentioned above.
f = (0.79 log (Re) - 1.64) ^ {-2}= (0.79 log (250,000) - 1.64) ^ {-2} = 0.019 (Approximately)
Thus, the approximate Moody friction factor is 0.019 which is (c) in the given options.
The Moody chart is a graphical representation used to determine the friction factor in fluid dynamics for laminar and turbulent flow in pipes. The Moody chart uses the Reynolds number and the relative roughness of the pipe as inputs.
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according to marcia, identity status involves the dimensions of exploration and
According to Marcia, identity status involves the dimensions of exploration and commitment.
In Erik Erikson's theory of psychosocial development, James Marcia expanded on the concept of identity formation and proposed four identity statuses: identity diffusion, identity foreclosure, identity moratorium, and identity achievement. Marcia believed that identity formation involves two key dimensions: exploration and commitment. Exploration refers to actively seeking out and considering different identity options, such as exploring different career paths or values. Commitment, on the other hand, involves making a personal investment in an identity choice and integrating it into one's sense of self. The interplay between exploration and commitment determines an individual's identity status and their progress toward developing a coherent and stable sense of identity.
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How do electrical field lines indicate the strength of an electric field?.
Answer:
The amount of lines that are perpendicualr to the area and are closer together.
Explanation:
Imagine a ripple of water. closer to the source of ripple the rings are closer together. The further away from the ripple the rings spread out and there is more time inbetween each ripple. Same wit an electric field. The more lines closer together means the stronger the field. The furth the lines are form each other mean a less strong field.
A construction manager is looking for workers to build a series of walkways within a large garden apartment project. What type of
workmen should the manager employ?
Answer:
Casual workers
Explanation:
Casual workers are workers on a short-term employment contract that unlike non-permanent workers have restricted entitlement to benefits, little employment security, with the primary distinction of there being a lack of a stable connection or relationship between them and their employers for the to be referred to as employees.
The declaration property used to set the text color on a web page is
Answer:
color
Explanation:
Without more context I cannot be sure that this is correct, but I believe you are looking for the CSS declaration property of "color".
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
The combined weight of a cyclist and his bicycle is 220 lb. What power must the cyclist produce to ride up a 5% grade at a constant speed of 10 mph?
Answer:
The power developed by the man to ride the bicycle at constant speed is 0.2927 hp
Explanation:
Given the data in the question;
weight of cyclist and bicycle W = 220 lb
speed v = 10 mph = 14.6667 ft/s
Angle of inclination θ = tan⁻¹( 5% ) = tan⁻¹( 0.05 ) = 2.86°
Now we calculate the power developed by the man,
Power = W( dh / dθ )
Power = W( vsinθ )
we substitute
Power = 220 lb( 14.6667 ft/s × sin( 2.86 )
Power = 220 lb( 14.6667 ft/s × 0.04989569 )
Power = 160.997 ft.lb/s
Power = 160.997 ft.lb/s ( 1hp / 550 ft.lb/s )
Power = 0.2937 hp
Therefore, The power developed by the man to ride the bicycle at constant speed is 0.2927 hp