The mechanical energy of an object is a combination of its potential energy and its kinetic energy.
2. A silo (base not included) is to be constructed in the form of a cylinder surmounted by a hemisphere. The cost of construction per square unit
of surface area is twice as great for the for the hemisphere as it is for the cylindrical side wall. Determine the dimensions to be used if the volume is fixed and the cost of construction is to be kept to a minimum. Neglect the thickness of the silo and waste in construction.
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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Alvaro designs machinery and equipment for ships. His job title is best described as . Jeanette draws maps and plans for freeway projects. Her job title is best described as . Joseph designs a new airport. His job title is best described as . Geraldine designs imaging systems that use light. Her job title is best described as .
Answer:
Alvaro designs machinery and equipment for ships. His job title is best described as Marine Engineer.
Jeanette draws maps and plans for freeway projects. Her job title is best described as Civil Drafter.
Joseph designs a new airport. His job title is best described as Transportation Engineer.
Geraldine designs imaging systems that use light. Her job title is best described as Photonics Engineer.
Hope this helps sorry I am late to respond, but anyone else who needs the answer it is here.
Based on the above, Alvaro is a Marine Engineer;
Jeanette is a Civil Drafter.Joseph is a Transportation Engineer.Geraldine is a Photonics Engineer.What is machinery and equipment?Machinery and Equipment are known to be a type of industrial tools, devices, and items that aids facilities.
Conclusively, They are said to be tangible personal property that are used as a tool for repair parts, etc. Professions in ship jobs includes, Marine Engineer, Photonics Engineer, etc.
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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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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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The use of seatbelts in a car has significantly reduced the number of crash fatalities. Which statement best explains how societal demand guided the development of the seatbelt technology
as the public need for preventing injuries and deaths from car crashes became known,laws were enacted to mandate the inclusion of seatbelts in almost all passengers vehicles
How to make coconut harder
Now hear me out: Steel-Coated Coconuts
If you want to make a coconut harder you can take that shell up to heights its natural husk never even knew it could reach! Combining the raw, brown scraglley-ness with the tough, durable properties of steel would most definitely make a coconut harder.
Valid answer? Probably not.
Thank you for coming to TedTalk :))
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
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 workers are not likely to be paid during an election?
campaign press secretary
volunteer coordinator
poll worker
director of communications
Answer:
volunteer coordinator
Explanation:
because they are volunteering for that and in most of the cases they do not expect to be paid
__________ is an example of an electrical device.
Plug
Cord
Cable
All of the above
Explanation:
is an example of an electrical device.
Cable
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.
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
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:
hope it helps.
Calculate moments about points A,B,C,D
Answer:
24cm sureeeereereeeeee
Why do some ladders have a white tip or reflective tape attached to the tip?
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
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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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
It is given thatopen parenthesis, x minus 2y, close parenthesis, times open parenthesis, x + 2y, close parenthesis, = 4Quantity A: x squared, minus, 4 times the quantity y squared Quantity B: 8 A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.
Answer:
Quantity B is greater.
Explanation:
Given:
(x -2y)(x +2y) = 4
A = x² -4y²
B = 8
Find:
the relationship between A and B
Solution:
The given expression can be expanded to give ...
x(x +2y) -2y(x +2y) = x² +2xy -2xy -4y² = x² -4y²
This is precisely the expression designated as A. Its value is 4.
4 < 8
A < B
Quantity B is greater.
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:
what are the temperature ranges in which a piece of equipment is classified to work?
A gas can auto ignite when exposed to a temperature higher than its
autoignition temperature
Temperature ranges gives the maximum exposed surface temperature
allowable of a device that is to be used in a hazardous, atmosphere
To enable end users determine the suitability of a product for a particular
usage, an equipment is put through test in order to classify them according
to temperature of exposed (to the atmosphere) unprotected surface
Whereby the atmosphere is explosive, there is a temperature at which the
it can spontaneously ignite known as the autoignition temperature,
therefore, it is important to use only equipment that belong to a temperature classification that is less than the auto ignition temperature of the location
The temperature classification can be presented as follows;
[tex]\begin{array}{|c|c|}Class&Surface \ Temperature \ ^{\circ }C\\T1&<450\\T2&<300\\T3&<200\\T4&<135 \\T5&<100\\T6&<85\end{array}[/tex]
The maximum allowable surface temperature of operation of a device
intended for use in an hazardous atmosphere is defined by the
temperature classification, which is also known as the T class
With knowledge of the gases present in the atmosphere, and the
autoignition temperature, accidents can be prevented
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Where you attend college could costmore to borrow and refinance loans
After turning off the television, you approach it. As you get close, but not touching it, the hairs on your arm start to stand up. This is an excellent example of static charge built up by_______
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.
Determine the gage pressure at the center of pipe A in pounds per square inch and
in kilopascals.
Answer: the stress is 384 pounds per square inch.
Step-by-step explanation:
Let S represent the stress in the material of the pipe.
Let P represent internal pressure of the pipe.
Let D represent internal diameter of the pipe.
Let T represent the thickness of the pipe.
The stress in the material of a pipe subject to internal pressure varies jointly with the internal pressure and the internal diameter of the pipe and inversely with the thickness of the pipe. Introducing a constant of proportionality, k, the expression becomes
S = kPD/T
The stress is 100 pounds per square inch when the diameter is 5 inches, the thickness is 0.75 inch, and the internal pressure is 25 pounds per square inch. It means that
100 = (k × 25 × 5)/0.75
125k = 100 × 0.75 = 75
k = 75/125 = 0.6
The equation representing the relationship becomes
S = 0.6PD/T
If the internal pressure is 40 pounds per square inch, the diameter is 8 inches and the thickness is 0.50 inch, then the stress would be
S = (0.6 × 40 × 8)/0.5
S = 384
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).
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
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).
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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Investigate the ripple factor of half wave and full wave rectifier, which rectifier has improved ripple factor?
Answer:The ripple factor is the ratio between the RMS value of the AC voltage (on the input side) and the DC voltage (on the output side) of the rectifier. The formula for ripple factor is: Which can also be rearranged to equal: The ripple factor of half wave rectifier is equal to 1.21 (i.e. γ = 1.21).
Explanation: i no it