An extremum is a point where the function has its highest or lowest value, and at which the slope is zero.
The dimensions to be used if the volume is fixed and the cost of construction is to be kept to a minimum is as follows;
Height of cylinder = 2 × Radius of cylinderReason:
The given parameters are;
Form of silo = Cylinder surmounted by a hemisphere
Cost of construction of hemisphere per square unit = 2 × The cost of of construction of the cylindrical side wall
Required:
The dimensions to be used if the volume is fixed and the cost of construction is to be kept to a minimum
Solution:
The fixed volume of the silo, V, can be expressed as follows;
[tex]V = \pi \cdot r^2 \cdot h + \dfrac{2}{3} \cdot \pi \cdot r^3[/tex]
[tex]h = \dfrac{V - \dfrac{2}{3} \cdot \pi \cdot r^3 }{\pi \cdot r^2 }[/tex]Where;
h = The height of the cylinder
r = The radius of the cylinder
The surface area is, Surface Area = 2·π·r·h + 2·π·r²
The cost, C = 2·π·r·h + 2×2·π·r² = 2·π·r·h + 4·π·r²
Therefore;
[tex]C = 2 \times \pi \times r\times \dfrac{V - \dfrac{2}{3} \cdot \pi \cdot r^3 }{\pi \cdot r^2 } + 4 \cdot \pi \cdot r^2 = \dfrac{8 \cdot r^3 \cdot \pi + 6 \cdot V}{3 \cdot r}[/tex]
[tex]C = \dfrac{8 \cdot r^3 \cdot \pi + 6 \cdot V}{3 \cdot r}[/tex]At the minimum value, we have;
[tex]\dfrac{dC}{dr} =0 = \dfrac{d}{dr} \left(\dfrac{8 \cdot r^3 \cdot \pi + 6 \cdot V}{3 \cdot r} \right) = \dfrac{16 \cdot r^3 \cdot \pi - 6 \cdot V}{3 \cdot r^2}[/tex]Which gives;
16·π·r³ = 6·V
[tex]V = \dfrac{16 \cdot \pi \cdot r^3}{6} = \dfrac{8 \cdot \pi \cdot r^3}{3}[/tex]Which gives;
[tex]h = \dfrac{\dfrac{8 \cdot \pi \cdot r^3}{3} - \dfrac{2}{3} \cdot \pi \cdot r^3 }{\pi \cdot r^2 } = 2 \cdot r[/tex]
h = 2·r
The height of the silo, h = 2 × The radius, 2
Therefore, the dimensions to be used if the volume is fixed and the cost is to be kept to a minimum is, height, h = 2 times the radius
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Tech a says both oem and tcmc brake pad kits come with new shims. Tech b says tcmc products have a 13 digit part number instead of the traditional 10 digits. Who is correct?
A two-stage air compressor operates at steady state, compressing 10 m3 /min of air from 100 kPa, 300 K, to 1200 kPa. An intercooler between the two stages cools the air to 300 K at a constant pressure of 350 kPa. The compression processes are isentropic. Calculate the power required to run the compressor, in kW, and compare the result to the power required for isentropic compression from the same inlet state to the same final pressure.
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Comparing this to the actual power required for the two-stage compressor (242.6 kW), we can see that the actual power required is significantly higher.
What is work done?Work done is the amount of energy transferred to or from a system as a result of a force acting on it over a distance.
To solve this problem, we can use the following steps:
Step 1: Determine the state points of the air at various stages of the compression process.
Stage 1: Inlet state = State 1
P1 = 100 kPa, T1 = 300 K, V1 = 10 m³/min
Stage 2: After the first stage of compression = State 2
P2 = 1200 kPa, T2 = ? (isentropic compression)
Stage 3: After intercooling = State 3
P3 = 350 kPa, T3 = 300 K, V3 = V2
Stage 4: After the second stage of compression = State 4
P4 = 1200 kPa, T4 = ? (isentropic compression)
Step 2: Calculate the temperature and specific volume at states 2 and 4 using the isentropic compression process.
For an isentropic compression process, we have:
(P2/P1)^((γ-1)/γ) = T2/T1
(P4/P3)^((γ-1)/γ) = T4/T3
where γ is the ratio of specific heats for air, which is approximately 1.4.
Solving for T2 and T4, we get:
T2 = T1*(P2/P1)^((γ-1)/γ) = 300*(1200/100)^((1.4-1)/1.4) = 742.6 K
T4 = T3*(P4/P3)^((γ-1)/γ) = 300*(1200/350)^((1.4-1)/1.4) = 892.5 K
Next, we can use the ideal gas law to calculate the specific volume of air at states 2 and 4:
V2 = V1*(P1/P2)(T2/T1) = 10(100/1200)(742.6/300) = 0.1867 m³/kg
V4 = V3(P3/P4)(T4/T3) = 10(350/1200)*(892.5/300) = 0.2604 m³/kg
Step 3: Calculate the work done in each stage of the compressor.
For an isentropic compression process, the work done can be calculated using the following equation:
W = (mCp)(T2-T1) = (mCp)(T4-T3)
where m is the mass flow rate of air, which can be calculated using the specific volume and inlet volumetric flow rate:
m = V1/(v160) = 10/(0.831460) = 0.2016 kg/s
Cp is the specific heat at constant pressure for air, which is approximately 1.005 kJ/kg-K.
Thus, the work done in each stage of the compressor is:
W1 = (0.20161.005)(742.6-300) = 77.2 kW
W2 = (0.20161.005)(892.5-300) = 116.9 kW
The total work done by the compressor is:
W_total = W1 + W2 = 77.2 + 116.9 = 194.1 kW
Step 4: Calculate the power required to run the compressor.
The power required to run the compressor can be calculated using the following equation:
Power = W_total/η
where η is the compressor efficiency.
We are not given the efficiency, but for a two-stage compressor, a reasonable estimate for η is reasonable estimate for the efficiency of a two-stage compressor is around 75-85%. Therefore, we can assume η = 0.8.
Using this efficiency value, the power required to run the compressor is:
Power = W_total/η = 194.1/0.8 = 242.6 kW
Step 5: Compare the result to the power required for isentropic compression from the same inlet state to the same final pressure.
For isentropic compression from the same inlet state to the same final pressure, the work done can be calculated using the following equation:
W = (mCp)(T2-T1) = (mCp)(T4-T3) = (m*Cp)*ΔT
where ΔT = T2-T1 = T4-T3 = 442.5 K
Thus, the work done for isentropic compression is: W_iso = (0.2016*1.005)*442.5 = 89.1 kW
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Explain the relationship between separation and economic efficiency in mineral processing.
Answer:
Post navigation. The technical excellence of separation achieved in a mineral concentration process, or any other process where two constituents of any kind are physically separated from each other, is expressed uniquely and quantitatively by the Separation Efficiency: Es = (R – Rg)
Explanation:
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What size resistor would produce a current flow of 5 Amps with a battery voltage of 12.6 volts
Answer:
resistance = 2.52 ohms
Explanation:
from the formula
V =IR
Voltage = (current)(resistance)
Resistance =
R=
R= 2.52 ohms
why a hard disk called a random access stroage device
RAM is called “random access” because any storage location on the computer can be accessed directly (as opposed to randomly).
1. Plot the normal and shear components of stress on the fictitious element relative to (1) Cartesian coordinator system, (2) a cylindrical coordinator system, and (3) a spherical coordinate system. Note: Your drawing should be by hand and in a 3D manner. Write the stress notation in matrix form for three coordinator systems. Explain the biological motivations for using the above three coordinator systems.
Answer:
d
Explanation:
3)A steel plant is to be constructed at a site where cooling water can be taken from a groundwater aquifer. It is planned to discharge the used cooling water to a small river. Summer flows and temperatures have historically ranged from 25 to 40 m3/s and 15 to 22 oC, respectively. The TCEQ has set a maximum stream temperature requirement of 25oC below the proposed discharge. Groundwater temperature is known to be constant at 120C. Heat dissipation requirements are 2x108J/s. Determine the maximum groundwater flow rate required to meet TCEQ requirements in water temperature. (4pts)
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Which of these include some basic characteristics of taxi services? (Select all that apply.)Transactions are often negotiated at the time of use.Many taxi services are one-person and mom-and-pop businesses.Few taxi services are as extensive in range as either urban mass transit orcommercial airlines options.They do not usually involve long-term planning, beyond a single use.
The basic characteristic of the taxi service is that some taxi services are as extensive in range as either urban mass transit or commercial airlines.
Waht is a taxi service?A taxi is a cab that one hired b a single person or a group and they have a nonshared ride. The taxi service is found in various international destinations all over the world and especially at the airports, restaurants and hotels. Some place's taxi services are extensive and include the urban transits.
Find out more informaion about the taxi services.
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Escribe dos gemplos de los cambios de conducta que
adquiere el trabajador
al momento de capacitarse.
Aprendizajes del buen vivir ya que al compartir con la comunidad y te desarrollas, tu desarrollas otra manera de pensar y adquieres el aprendizaje del buen vivir con todos sin excepción alguna
Además el aprendizaje de experimentar compartir con otras personas que no son tu familia, eso hará que desarrolles el aprendizaje de tus cualidades y en este caso sería la cualidad de la imparcialidad
The disk spins about the fixed axis BB, which is inclined at the angle α to the vertical z-axis. A small block A is placed on the disk in its lowest position P at a distance r from the axis when the disk is at rest. The angular velocity ω = theta dot. is then increased very slowly, starting from zero. At what value of ω will the block slip, and at what value of θ will the slip first occur? Use the values α = 25°, r = 0.55 m, and μs = 0.67. What is the critical value of ω if α = 0?
Answer: A small block A is placed on the disk in its lowest position P at a distance r from the axis when the disk is at rest. The angular velocity
Explanation:
The device in Figure P6.27 is a sloshing bath used to wash vegetable produce. For the configuration shown, use the relative velocity method to graphically determine the angular velocity of the water bath as the crank is driven clockwise at 75 rpm.
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The angular velocity of the water bath as the crank is driven clockwise is 6.66rpm/ms.
How to calculate the angular velocity?From the complete information, we are to use the relative velocity method to determine the angular velocity of the water bath.
This will be:
60/V = 1085.4/120.58
Cross multiply.
(1085.4 × V) = (120.58 × 60)
V = (120.58 × 60/1085.4)
V = 6.66rpm/ms
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An ideal Otto cycle with air as the working fluid has a compression ratio of 8. The minimum and maximum temperatures in the cycle are 540 and 2400 R. Accounting for the variation of specific heats with temperature, determine (a) the amount of heat transferred to the air during the heat-addition process, (b) the thermal efficiency, and (c) the thermal efficiency of a Carnot cycle operating between the same temperature limits
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i need your help to answer in the picture plss help me!
this looks like its the different phases of a single cylinder 4 stroke engine what are you doing in the picture or assignment though matching the numbers to the descriptions on the side?
1. A drawing of a cabinet shows that its dimensions are 9cm. by 4cm. The drawing indicates 1:50 scaling. What are the actual dimensions of the cabinet?
2. Bongbong is tasked to draw a floor plan with a scale of 1:100. If the total length of the actual house is 8 meters, what will be its corresponding measurement in centimeters in floor plan?
3.The length of a bedroom measures 2.5 m., what will be the measurement in centimeters to be used in the drawing if it is in 1:50 scale?
Explanation:
This means that for every 1 cm on the drawing, there is 80 cm in reality. To put it another way, take this
1:80 means that the building is 80 times the size of the drawing
80:1 means that the drawing is 80 times the size of the building
If it were 80:1, the drawing itself would be over 100m long.
Why did you choose agricultural and biosystem as a course? Help me guys
Answer:
To be able to develop as a human and give back to the community. To ensure that people have safe food and water to drink, clean fuel and energy sources, and in general a safe enviornment to live in.
Explanation:
The reasons why someone might choose to study agricultural and biosystems engineering are highly individual and can depend on a variety of factors, such as personal interests, career goals, and educational background.
What is agricultural and biosystem engineering?Many students who decide to study agricultural and biosystems engineering are interested in farming, making food, and sustainable agriculture. They might want to find new ways to make more food or improve how farmers work.
Agricultural and biosystems engineering is a field that focuses on creating systems and processes that are good for the environment.
Students who care about the environment may decide to learn about this subject because it focuses on reducing waste, saving resources, and causing less harm to the environment.
Agricultural and biosystems engineering is a field that combines different areas of knowledge such as biology, chemistry, physics, and computer science. Students who like to work in different subjects might find this field perfect for their interests and abilities.
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Which of the following procedures best applies to assessing the embodied energy of a building?
analyzing the building’s materials
analyzing the building’s function
analyzing the building’s age
analyzing the building’s blueprints
100 POINTS
analyzing building materials???????????? but i can try i think it is analyzing the materials of the building
Calculate moments about points A,B,C,D
Answer:
24cm sureeeereereeeeee
Who is Mario and Luigi
Answer:
they are fictional characters featured in video games etc
Answer: Mario and Luigi are game characters, which feature in the Super Mario Maker series, the Paper Mario series, but most notably, the Super Mario Bros. series. Mario debuted in Donkey Kong (1981), while Luigi debuted in Mario Bros (1983, not to be confused with Super Mario Bros, which released two years after Mario Bros).
A gas turbine power plant is being designed using an air-standard Brayton cycle. Air enters the compressor with a volumetric flow rate of 7 m3 /s at 100 kPa, 300 K. The turbine inlet temperature is expected to be 1400 K. The compressor pressure ratio is 10. The turbine exhaust goes back to the atmosphere at 100 kPa. (a) Draw the schematic and T-s diagrams. (b) Determine the thermal efficiency. (c) Determine the back work ratio of this power plant.
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Why do some ladders have a white tip or reflective tape attached to the tip?
Where you attend college could costmore to borrow and refinance loans
a hallow steel tube 3.5m long has external diameter of 120mm. in order to determine the internal diameter the tube was subjected to a tensile load of 400KN and extension was measured to be 2 mm. if the modulus of elasticity for the tube material is 200 GPa. determine the internal diameter of the tube.
Answer:
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Which of the following most accurately describes an institutional conflict of interest?
Answer:
Defined as a situation in which the financial investments or holdings of Stanford University or the personal financial interests or holdings of institutional leaders might affect or reasonably appear to affect institutional processes for the design, conduct, reporting, review, or oversight of human subjects research.
Project stem unit 0 lesson 5
Answer: Project STEM
Explanation: Develop a model to illustrate the role of photosynthesis and cellular respiration in the cycling of carbon among the biosphere
Your vehicle is/ are not part of regulated safety system 
Answer:
Amends the FMVSS on air brake systems to improve the stopping distance performance of truck tractors. The rule requires the vast majority of new heavy truck tractors to achieve a 30 percent reduction in stopping distance compared to currently required levels. For these heavy truck tractors (approximately 99 percent of the fleet), the amended standard requires those vehicles to stop in not more than 250 feet when loaded to their gross vehicle weight rating (GVWR) and tested at a speed of 60 miles per hour (mph). For a small number of very heavy severe service tractors, the stopping distance requirement will be 310 feet under these same conditions. In addition, this final rule requires that all heavy truck tractors must stop within 235 feet when loaded to their “lightly loaded vehicle weight” (LLVW).
Amends the FMVSS on air brake systems to improve the stopping distance performance of truck tractors. The rule requires the vast majority of new heavy truck tractors to achieve a 30 percent reduction in stopping distance compared to currently required levels. For these heavy truck tractors (approximately 99 percent of the fleet), the amended standard requires those vehicles to stop in not more than 250 feet when loaded to their gross vehicle weight rating (GVWR) and tested at a speed of 60 miles per hour (mph). For a small number of very heavy severe service tractors, the stopping distance requirement will be 310 feet under these same conditions. In addition, this final rule requires that all heavy truck tractors must stop within 235 feet when loaded to their “lightly loaded vehicle weight” (LLVW).
Answer:
power window controls
Explanation:
If a construction company is considering a new type of material to use in their construction, which factors would they
focus on? (Select all that apply.)
that the new material does the same thing as an existing material but better
that the new material does the same thing as an existing material but cheaper
that the science behind the material be familiar to and understood by its employees
that the properties of the new material meet their construction needs
I would honestly select every one of the given options. Gor a company evaluating this new material it would be very valuable to hit each of these factors.
If the probability of a bit error is p, what is the probability of a single, double, and triple error in a 10-bit word? Express it in terms of p.
Answer:
single bit error: 10pdouble bit error: 45p²triple bit error: 120p³Explanation:
The probability of n bits being in error is 10Cn × p^n, where ...
10Cn = 10!/(n!(10-n!))
10C1 = 10
10C2 = 45
10C3 = 120
This is the product of the probability that n bits can be in error and the number of ways that n bits can be chosen from the 10 in the word.
n = 1: 10p
n = 2: 45p²
n = 3: 120p³
A house that was heated by electric resistance heaters consumed 1500 kWh of electric
energy in a winter month. If this house were heated instead by a heat pump that has an
average COP of 2.5, determine how much money the homeowner would have saved
that month. Assume a price of Tk 6/kWh for electricity.
Answer:
2.5=1500/Whp=> Whp=600 kWh
delWgain=1500-600=900 kWh
Money saved= 900* 6tk*=5400 tk
For an electrical system, short dashed lines indicate?
A solid line around a component indicates that the component is complete. A dashed line around the component indicates that the component is being shown is not complete.
__________ is an example of an electrical device.
Plug
Cord
Cable
All of the above
Explanation:
is an example of an electrical device.
Cable
