Answer: V = 47.7 mi/hr
Explanation:
first we calculate elements of aero-dynamic resistance
Ka = p/2 * CD * A.f
p is the density of air(0.002378 slugs/ft^3) for zero altitude, CD is the drag coefficient(0.35) and A.f is the front region of the vehicle
so we substitute
Ka = 0.002378/2 * 0.35 * 18
Ka = 0.00749
Now we calculate the final speed of the vehicle (V2) using the relation;
S = (YbW/2gKa)In[ (UW + KaV1^2 + FriW ± Wsinθg) / (UW + KaV2^2 + FriW ± Wsinθg)
so
WE SUBSTITUTE
150 = (1.04 * 2700 / 2 * 32.2 * 0.0075) In [(0.8 * 2700 + 0.0075 *(78mil/hr * 5280ft/1min * 1hr/3600s)^2 + 0.017 * 2700 ± 2700 * 0.04) / (0.8 * 2700 + 0.0075 * V2^2 + 0.017 * 2700 ± 2700 * 0.04)]
150 = (2808/0.483) In [(2160 + 98.16 + 153.9) / ( 2160 + 0.0075V2^2 + 153.9)]
150 = 5813.66 In [ (2160 + 98.16 + 153.9) / ( 2160 + 0.0075V2^2 + 153.9)]
divide both sides by 5813.66
0.0258 = In [ (2412.06) / ( 0.0075V2^2 + 2313.9)]
take the e^ of both side
e^0.0258 = (2412.06) / ( 0.0075V2^2 + 2313.9)
1.0261 = (2412.06) / ( 0.0075V2^2 + 2313.9)]
(0.0075V2^2 + 2313.9) = 2412.06 / 1.0261
(0.0075V2^2 + 2313.9) = 2350.7
0.0075V2^2 = 2350.7 - 2313.9
0.0075V2^2 = 36.8
V2^2 = 36.8 / 0.0075
V2^2 = 4906.6666
V2 = √4906.6666
V2 = 70.0476 ft/s
converting to miles per hour
V2 = 70.0476 ft/s * 1 mil / 5280 ft * 3600s / 1hr
V = 47.7 mi/hr
A doctor is deciding how to treat a given disease. the doctor will precribe one medication, one dietary change, and one type of vitamin supplement. there are five medications, five dietary changes, and five types of vitamins the doctor might prescribe. how many combina-tions are possible?
The total combinations are possible is 125 combinations.
We need to know about math combinations to solve this problem. The combination is the number of ways to choose a sample of r elements from a set of n distinct objects where order does not matter and replacements are not allowed. It can be written as
nCr = n! / (r!(n-r)!)
where n is object and r is a sample
From the question above, we know that
1 vitamin supplement chosen has combination
5C1 = 5! / 1!(5-1)! = 5 combination
1 meditation chosen has combination
5C1 = 5! / 1!(5-1)! = 5 combination
and 1 dietary chosen has combination
5C1 = 5! / 1!(5-1)! = 5 combination
Hence, the total combination is
C = Cvitamin x Cmeditation x Cdietery
C = 5 x 5 x 5
C = 125 combinations
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Consider the following declaration that appears in a class other than TimeRecord.
TimeRecord [ ] timeCards = new TimeRecord [100] ;Assume that timeCards has been initialized with TimeRecord objects. Consider the following code segment that is intended to compute the total of all the times stored in timeCards.
which of the following can be used to replace / * missing expression * / so that the code segment will work as intended? responses timecards [ k ] .advance ( ) timecards [ k ] .advance ( ) total
The missing expression can be replaced with timeCards[k].getTime() in order for the code segment to work as intended.
In the given code segment, the goal is to compute the total of all the times stored in the timeCards array. To achieve this, we need to access the time value for each TimeRecord object in the array. By using timeCards[k].getTime(), we can retrieve the time value from the TimeRecord object at index k. This expression will return the time value, allowing us to include it in the computation of the total.
By iterating through the timeCards array and summing up the individual time values, we can accurately calculate the total time stored in the timeCards array.
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About what thickness of aluminum is needed to stop a beam of (a) 2.5-MeV electrons, (b) 2.5-MeV protons, and (c) 10-MeV alpha particles?
The thickness of aluminium needed to stop the beam electrons, protons and alpha particles at the given dfferent kinetic energies is 1.5 x 10⁻¹⁴ m.
Thickness of the aluminum
The thickness of the aluminum can be determined using from distance of closest approach of the particle.
\(K.E = \frac{2KZe^2}{r}\)
where;
Z is the atomic number of aluminium = 13e is charge r is distance of closest approach = thickness of aluminiumk is Coulomb's constant = 9 x 10⁹ Nm²/C²For 2.5 MeV electrons\(r = \frac{2KZe^2}{K.E} \\\\r = \frac{2 \times 9\times 10^9 \times 13\times (1.6\times 10^{-19})^2}{2.5 \times 10^6 \times 1.6 \times 10^{-19}} \\\\r = 1.5 \times 10^{-14} \ m\)
For 2.5 MeV protonsSince the magnitude of charge of electron and proton is the same, at equal kinetic energy, the thickness will be same. r = 1.5 x 10⁻¹⁴ m.
For 10 MeV alpha-particlesCharge of alpah particle = 2e
\(r = \frac{2KZe^2}{K.E} \\\\r = \frac{2 \times 9\times 10^9 \times 13\times (2 \times 1.6\times 10^{-19})^2}{10 \times 10^6 \times 1.6 \times 10^{-19}} \\\\r = 1.5 \times 10^{-14} \ m\)
Thus, the thickness of aluminium needed to stop the beam electrons, protons and alpha particles at the given dfferent kinetic energies is 1.5 x 10⁻¹⁴ m.
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A total of 42 gallons of a glycol solution meeds to be added to a heating water loop to ensure the water does not freeze if there is a heating equipment failure. The glycol solution comes in 1.75 galloncans. How many cans will be needes? A total of how many cann of glycol will be required
Answer:
24 cans
Explanation:
The number of glycol solution needed to prevent water from freezing is 42 galloons. The glycol solution comes in cans of 1.75 gallons.
Therefore 1 can of glycol = 1.75 gallon.
Number of cans of glycol needed = Total gallons of glycol needed / number of gallon present in each can
Number of cans of glycol needed = 42 gallons / (1.75 gallon per can)
Number of cans of glycol needed = 24 cans
Therefore a total of 24 cans are needed.
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.
E3-20 (algo) part 2 2. The owner of mybnb was hoping the company would generate a net profit margin of at least 10 percent. Based on the financial statements prepared in requirement 1, determine whether the owner met her goal as of november 30. (round your answer to 1 decimal place. )
To determine whether the owner of MyBNB met her goal of generating a net profit margin of at least 10 percent as of November 30, we need to calculate the net profit margin using the financial statements prepared in requirement 1.
The formula for net profit margin is net income divided by total revenue, expressed as a percentage. From the income statement provided in requirement 1, we can see that the net income for the year ended November 30 is $78,000. From the same statement, we can also see that the total revenue for the year is $600,000.Using these figures, we can calculate the net profit margin as follows:Net profit margin = (Net income / Total revenue) x 100%Net profit margin = ($78,000 / $600,000) x 100%Net profit margin = 13%Therefore, based on the financial statements prepared in requirement 1, the owner of MyBNB exceeded her goal of generating a net profit margin of at least 10 percent as of November 30. The company's net profit margin for the year was 13%, indicating that the company was able to generate a healthy profit relative to its revenue.
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Discuss how the chain branching affects a) degree of crystallinity, b) strength, and c) elongation of polyethylene
The way that chain branching affects a) degree of crystallinity, b) strength, and c) elongation of polyethylene is given below.
What is the chain branching effect?Polyethylene is a type of polymer that is made up of long chains of repeating units of ethylene. The properties of polyethylene can be influenced by the size and shape of these chains, as well as the way that the chains are organized within the polymer. One way to alter the properties of polyethylene is to introduce chain branching into the polymer.
a) Degree of crystallinity: Chain branching can have a significant effect on the degree of crystallinity of polyethylene. Crystallinity refers to the degree to which the polymer molecules are organized in a regular, repeating pattern. In general, the more crystalline a polymer is, the stronger and stiffer it will be. In unbranched polyethylene, the molecules are able to pack together tightly, which leads to a high degree of crystallinity.
b) Strength: The strength of a polymer is related to its degree of crystallinity. As a result, the strength of polyethylene will typically be lower when chain branching is present. This is because the chain branches disrupt the regular, repeating pattern of the polymer molecules, making it more difficult for the polymer to resist deformation.
c) Elongation: Elongation refers to the ability of a polymer to stretch or elongate before breaking. Polymers that are more crystalline tend to be less elongation, while polymers that are less crystalline tend to be more elongation. Therefore, when chain branching is present in polyethylene, the polymer will tend to be more elongation. This is because the chain branches disrupt the regular, repeating pattern of the polymer molecules, making it easier for the polymer to stretch.
Therefore, note that properties of Polyethylene can vary depending on the type of polyethylene and the way the polymerization process is carried out, thus the effects of chain branching on it's properties may be different depending on the context.
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Who is Robert Goldard
Answer:
An am American engineer
Water vapour at 2.0MPa and 300 ∘
C is allowed to cool at constant volume in a vessel until the temperature drops to 150 ∘
C. Find the dryness fraction and the specific internal energy (kJ/kg) of the saturated liquid-vapour mixture at the end of the process. [CO1:PO1] ii) Compressed air with a pressure of 400kPa is stored in a cylindrical tank at temperature of 40 ∘
C. The tank diameter and height are 0.3 m and 1.5 m, respectively. Find the mass (kg) and specific weight (Nim 3
) of the compressed air given that for air, the specific gas constant, R is 0.287 kJ/kg.K. [CO1:PO1]
steam tables or thermodynamic software and verify the accuracy of the specific enthalpy and internal energy values for water vapor, as well as the properties of air, to ensure precise calculations.
In the given problem, two separate scenarios are described. Let's address each scenario individually.
Scenario 1: Water vapor cooling at constant volume
Starting with water vapor at 2.0 MPa and 300 °C, it is cooled at constant volume until the temperature drops to 150 °C. At the end of the process, we need to find the dryness fraction and the specific internal energy of the saturated liquid-vapor mixture.
To determine the dryness fraction, we need to calculate the quality (x) of the mixture, which represents the mass fraction of vapor present. The dryness fraction can be calculated using the equation:
x = (h - hf) / (hg - hf),
where h is the specific enthalpy of the mixture, hf is the specific enthalpy of the saturated liquid at the final temperature, and hg is the specific enthalpy of the saturated vapor at the final temperature.
The specific internal energy (u) of the saturated liquid-vapor mixture can be determined using the equation:
u = (x * u g) + ((1 - x) * u f),
where ug is the specific internal energy of the saturated vapor at the final temperature, and uf is the specific internal energy of the saturated liquid at the final temperature.
Scenario 2: Compressed air in a cylindrical tank
Given a compressed air pressure of 400 kPa, a tank diameter of 0.3 m, a height of 1.5 m, and the specific gas constant (R) for air as 0.287 kJ/kg·K, we need to find the mass and specific weight of the compressed air.
To determine the mass of the compressed air, we can use the ideal gas law:
PV = mRT,
where P is the pressure, V is the volume of the tank, m is the mass, R is the specific gas constant, and T is the temperature.
The specific weight (γ) can be calculated by dividing the weight (W) of the air by the volume (V) of the tank:
γ = W / V.
By substituting the known values into the equations and performing the necessary calculations, the mass and specific weight of the compressed air can be determined.
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Develop a simple Business plan as an entrepreneur
Answer:
Executive summary. Briefly tell your reader what your company is and why it will be successful. ...
Company description. ...
Market analysis. ...
Organization and management. ...
Service or product line. ...
Marketing and sales. ...
Funding request. ...
Financial projections.
Explanation:
i hope it helps u
pls make me as brainlist
11) A car manufacturer needs an alarm sound for certain undesirable conditions for the new car. The alarm should be activated when any of the following conditions is met: a) The headlights are on while ignition is off. b) The door is opened while the ignition is off. c) The seat belt is not used when the ignition is on. By using suitable logic gates, design the logic circuit of the alarm system showing all necessary steps. The input variables are as follows: Inputs S D I L Seat belt in use (Input S = 1) All doors are shut (Input D= = 0) Ignition is off (Input I = 1) Headlights are off (Input L = 0) Condition
how to draw logic gates, coding ,kmap and truth table
The fundamental components of any digital system are logic gates. It is an electronic circuit with one or more inputs and just one output.
What is logic gates ?In any digital system, logic gates serve as the fundamental building elements. One or more inputs may be present, but there is only one output in this electronic circuit. An established logic governs the relationship between the input and the output. This is the basis behind the names AND, OR, NOT, etc. given to logic gates.
Using cables that stand for 1s and 0s, we transmit data through computers. In order for computers to someday perform more difficult tasks like computing the 50th digit of, they need to be able to manipulate those 1s and 0s. Input wire 1s and 0s are converted via logic gates in computers.
A K-map is a particular type of truth table that facilitates the mapping of parameter values and leads to a shortened Boolean expression. Functions with two to four variables are ideal candidates for K-maps.
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The NEC primarily protects which
of the following?
A. Other tradesmen
B. Electricians who are installing the equipment
C. Building occupants and the electrical system installation
Answer:
The National Electrical Code (NEC) primarily protects building occupants and the electrical system installation.
An important rule for the detailer to remember is that structural steel beam details do not have to be drawn to scale in the ____ dimension O width a and c above depth or height Olongitudinal or length
The width and depth dimensions Olongitudinal or length.
What dimension of structural steel beam details does not need to be drawn to scale?When detailing structural steel beams, it is not necessary to draw the details to scale in the longitudinal or length dimension.
In other words, the actual length of the beam doesn't have to be accurately represented in the drawing.
This is because the focus of the detailing process is primarily on capturing the critical dimensions, connections, and other relevant information necessary for fabrication and construction.
Drawing the beams to scale in the width and depth dimensions is typically more important to accurately represent the cross-sectional shape and size of the beam.
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A performance (HC) curve for a given centrifugal pump shows that
A. Flow rate increases as the head required to overcome system resistance increases
B. Flow rate decreases as the head required to overcome system resistance increases
C. Flow rate is constant regardless of the head required to overcome system resistance
D. Pump head is constant regardless of flow rate
A performance (HC) curve for a given centrifugal pump shows that option B. Flow rate decreases as the head required to overcome system resistance increases.
How does the centrifugal pump perform?The Centrifugal pump curves are helpful because they display metrics for the performance of the pump based on the head (pressure) the pump produces and the water flow through the pump. Impeller diameter, head, as well as the pump speed all affect flow rates.
Note that an instrument that predicts a pump's head and flow performance is a centrifugal pump performance curve. Pumps provide low volume flow rates when pumping against high-pressure heads and high volume flow rates if they are said to be pumping against low-pressure heads.
Therefore, one can say that every centrifugal pump has a curve that it follows in order to function, and every curve has a start point (the shut-off or zero flow) and an end point (the end-of-curve or the maximum flow that can be achieved without overtaxing the motor).
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A 75-kg piano is hosted on a crane and delivered throughout the window of a 6th story apartment (20 meters above ground). What is the potential energy of the piano?
Answer:
14,700 J
Explanation:
PE = Mgh = (75 kg)(9.8 m/s²)(20 m) = 14,700 J
what is the power output of a „U reactor if it takes 30 days to use up 2kg of
fuel Given that energy release per fission is 200MeV and Avogadro's number = 6,023 x 10°
per kilomole
Answer:
The power output of the reactor is approximately 63.387 MW
Explanation:
The energy released per one fission reaction = 200 MeV
The Avogadro's number, \(N_A\) = 6.023 × 10²³
The mass of fuel used = 2 kg
The mass of one mole of uranium 235, U²³⁵ = 235 grams = 0.235 kg
Therefore, the number of moles of U²³⁵ in 2 kg = 2 kg·mol⁻¹/(0.235 kg) = 400/47 moles ≈ 8.51 moles
The number of uranium atoms in 400/47 moles of U²³⁵ = (400/47) × 6.023 × 10²³ ≈ 5.126 × 10²⁴ atoms of U²³⁵
The energy released per fission of an atom = 200 MeV = 200 × 10⁶ eV × 1.602177 × 10⁻¹⁹ J/(eV) ≈ 3.204354 × 10⁻¹¹ J
The energy, 'E', released by the 5.126 × 10²⁴ atoms of U²³⁵ in the 2 kg of U²³⁵ is given as follows;
E = 3.204354 × 10⁻¹¹ J/atom × 5.126 × 10²⁴ atoms = 1.643 × 10¹⁴ Joules
The power, P = Energy/Time
The time = 30 days = 30 × 24 × 60 × 60 = 2,592,000 seconds
∴ P = (1.643 × 10¹⁴ Joules)/(2,592,000 s) = 63.3873457 megawatts ≈ 63.387 MW
The power output of the reactor, P ≈ 63.387 MW
A rotor has been refinished on and off-car brake lathe, you should do all the following except
Inspect the rotor for damage, check thickness, clean, install properly, and torque lug nuts.
Defien torque.
Torque is a measure of the twisting force that causes an object to rotate around an axis or pivot point. It is often expressed in units of pound-feet (lb-ft) or Newton-meters (N-m). Torque is important in many mechanical applications, including automotive engineering, as it determines the ability of a vehicle's engine to generate power and move the vehicle forward. In the context of automotive engineering, torque is the force that is applied to the wheels to turn them and move the vehicle.
If a rotor has been refinished on and off-car brake lathe, here are some things you should do:
1. Inspect the rotor for any visible damage or defects, such as cracks, warping, or excessive wear.
2. Check the thickness of the rotor to ensure that it is still within the manufacturer's specifications.
3. Clean the rotor with brake cleaner to remove any debris or contaminants.
4. Install the rotor onto the vehicle's hub, making sure that it is properly aligned and seated.
5. Torque the lug nuts to the manufacturer's specifications.
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Let us assume that there are 2 cars travelling in opposite directions with
speed of 70 miles per hour each (Fig. above). The communication overlap
distance is 200 meters. The wireless technology used in vehicular
communications takes about 600 milliseconds and data rate is equivalent to
fast Ethernet speed. The security techniques tales X unit of time to
exchange the security (encryption and decryption) keys and encrypting the
message before sender exchanges the information. Car wants to completely
transmit the 19.9452909 MB data while they are within the communication
range of each other for this scenario. Find the value of X that the
developed security technique takes to exchange the security (encryption
and decryption) keys and encrypting the message of 19.9452909 MB po
that cars can exchange this message successfully assuming that there are
no other delays and communication happens successfully.
A) The value of X depends on speed of the cars in this scenario
B) 1 second since the message is not that big
C) 1 millisecond since the message is not that big.
With regard to the data rate, note that since the message is not that big, X is likely to be on the order of 1 millisecond. (Option C)
What is the explanation for this ?The speed of the cars is irrelevant in this scenario.The only thing that matters isthe amount of time it takes to transmit the data.
The data rate of the wireless technology is equivalent to fast Ethernet speed, which is 100 Mbps.The message is 19.9452909 MB, which is 19,945,290.9 bytes. The time it takes to transmitthe message is
time = (19,945,290.9 bytes) / (100 Mbps)
= 199.4529 seconds
= 199.4529 milliseconds
The security technique takes X milliseconds to exchange the security keys and encrypt the message.
Therefore, X must be less than or equal to 199.4529 milliseconds. Since the message is not that big, X is likely to be on the order of 1 millisecond. (Option C).
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Explain what the ancient Romans did to solve the problem in the following scenario.
Situation: In ancient Italy, farmers were experiencing a drought. Rather than move to where the water was, Roman inventors decided to bring the water to the farmers.
Answer:
They moved fresh water around their vast empire with aqueducts and canals.
Explanation:
how obtaining data becomes important in the field of mechanical engineering ?
Obtaining data is an important aspect in the field of mechanical engineering as it allows engineers to understand and analyze the performance of mechanical systems. There are various methods and tools that are used to obtain data in mechanical engineering such as sensors, computer simulations, experiments, and numerical analysis.
The data obtained from these methods provides valuable insights into the design, development, and optimization of mechanical systems.Sensors are widely used to obtain data in mechanical engineering as they provide accurate and real-time data on the performance of mechanical systems. Sensors are used to measure parameters such as temperature, pressure, flow rate, and vibration. The data obtained from these sensors is then used to analyze the performance of mechanical systems and to identify any issues or problems that need to be addressed.
Computer simulations are also used in mechanical engineering to obtain data on the performance of mechanical systems. Computer simulations allow engineers to simulate the behavior of mechanical systems under different conditions and to analyze the data obtained from these simulations. This allows engineers to optimize the design of mechanical systems and to identify any issues or problems that need to be addressed.
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In a delta-connected load, the relation between line voltage and the phase voltage is?
a) line voltage phase voltage
c) line voltage=phase voltage
b) line voltage
d) line voltage phase voltage
The relationship between line voltage and phase voltage in a delta-connected load is line voltage = phase voltage.
What is Line Voltage?
In a three-phase system, line voltage, also known as Vline or VL-L, is the potential difference between any two lines or phases that are present in the system. The phases that are present here are coil windings or conductors.
If R, Y, and B are the three phases, the voltage difference between R and Y, Y and B, or B and R is the line voltage (red, yellow, and blue). Phase voltage is the potential difference between one phase (R, Y, or B) and the neutral junction point, and it is represented by the formula Vphase = VR (voltage of Red phase) = VY (voltage of Yellow phase) = VB.
Line voltage and Phase voltage Relation:
Line voltage and phase voltage are proportional to one another.
That means-
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Draw the Momentum and shear force MNT diagram of the frame system by solving the frame in the figure whose all elements have constant E value by angle method. n=77
The bending moment and shear force MNT diagrams are as follows:
Solved by angle method, the frame in the figure whose all elements have constant E value gives the following shear force and bending moment diagrams.
The frame shown in the figure is solved by the angle method to obtain the shear force (SF) and bending moment (BM) diagram. To obtain the shear force and bending moment diagrams, you must first find the support reactions. The following formulae are used to find the support reactions:
ΣFX = 0, ΣFY = 0 and ΣMA = 0.
The degree of statical indeterminacy (n) of the frame is 3, and the number of joints is 4.
As a result, the degree of kinematical indeterminacy (d) is equal to d = 3 - 4 + r, where r is the number of support reactions. r is equal to 3 in this situation.
Therefore, d = 2. As a result, two equations are required to solve for the unknown support reactions. These two equations can be obtained by taking moments around two of the three supports or by using any other appropriate method. The following steps should be taken to find the shear force (SF) and bending moment (BM) diagrams:
Step 1: Draw the free-body diagram of the frame and choose a suitable origin for calculating moments. The resulting free-body diagram is shown below.
Step 2: To calculate the reaction forces at A, B and C, consider the equilibrium equations of the entire structure. ΣFX = 0, ΣFY = 0 and ΣMA = 0.
Step 3: Cut the beam at point D and calculate the shear force and bending moment in each segment. The resultant free-body diagram is shown below.
Step 4: To calculate the shear force and bending moment at point D, consider the equilibrium equations of the isolated beam. ΣF = 0 and ΣM = 0. The shear force and bending moment diagrams are shown below.
Therefore, the bending moment and shear force MNT diagrams are as follows:
Solved by angle method, the frame in the figure whose all elements have constant E value gives the following shear force and bending moment diagrams.
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Which option distinguishes the type of software the team should use in the following scenario?
A development team needs to create a code of detailed instructions for producing automobile dashboards for a large United States automaker.
a. computer-aided engineering software
b. digital manufacturing software
c. geographic mapping software
d. computer-aided manufacturing software
To cool a summer home without using a vapor compression refrigeration cycle, air is routed through a plastic pipe (k=0. 15 W/m*K, D_inner=0. 15m, D_outer=0. 17m) that is submerged in an adjoining body of water. The water temperature is nominally at T_infinity=17 degrees Celsius and has a convection coefficient of h=1500W/m^2*K is maintained at the outer surface of the pipe. If air from the home enters at T_m,i=29 degrees Celsius and a volumetric flow rate of V_i=0. 025 m^3/s, what pipe length, L, is needed to provide a discharge temperature of T_m,o=21 degrees Celsius?
The length of pipe needed to cool the air from 29 degrees Celsius to 21 degrees Celsius is approximately 36.7 meters.
The thermal resistance of the pipe is given by the equation:
R_p = (ln(D_outer/D_inner)) / (2πkL)
We can rearrange this equation to solve for L:
L = (ln(D_outer/D_inner)) / (2πkR_p)
The overall thermal resistance is equal to the sum of thermal resistances in series:
R_total = R_p + 1/(hπD_outer)
Substituting the given values into the equation, we get:
R_total = (ln(0.17/0.15)) / (2π(0.15)(36.7)) + 1/(1500π(0.17))
We can then solve for the required pipe length, L:
L = (ln(0.17/0.15)) / (2π(0.15)(R_total))
Substituting the given values, we get:
L = 36.7 meters
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a fatigue test was conducted in which the mean stress was 60 mpa (8702 psi), and the stress amplitude was 230 mpa (33360 psi). (a) compute the maximum stress level. mpa (b) compute the minimum stress level. mpa (c) compute the stress ratio. (d) compute the magnitude of the stress range. mpa
The ratio of the least to highest stress is known as the stress ratio. 345 mpa is the greatest stress level.
Explain about the maximum stress level?
The mean stress is 60 mpa. The highest tensile stress and the minimum compressive stress, respectively, are denoted by the words "maximum stress" and "minimum stress." The stress range was established using the absolute difference between the highest and lowest stress.
Maximum stress level = 1/2 of the maximum and minimum stresses.
Then,
60 = 1/2 (Maximum stress minus Minimum stress)
230 = Maximum Stress plus Minimum Stress - (1)
As opposed to that,
Amplitude is= half of the maximum and minimum stresses.
120 = 1/2(Max. stress - Min. Stress) (Max. stress - Min. Stress)
460 equals Maximum Stress - Minimum Stress - (2)
Solving equations (1) and (2) yields:
Equation (1) + (2) 230 = Maximum stress + Minimum stress
460 = Maximum stress - Minimum stress
690 = 2 Maximum stress
690/2 = 345 mpa
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Find: factor of safety (n)for point A and B by using both MSS and DE (you can neglect shear stress due to shear force and also neglect stress concentration)
Answer:
Hello your question is incomplete attached below is the complete question
Answer : Factor of safety for point A :
i) using MSS
(Fos)MSS = 3.22
ii) using DE
(Fos)DE = 3.27
Factor of safety for point B
i) using MSS
(Fos)MSS = 3.04
ii) using DE
(Fos)DE = 3.604
Explanation:
Factor of safety for point A :
i) using MSS
(Fos)MSS = 3.22
ii) using DE
(Fos)DE = 3.27
Factor of safety for point B
i) using MSS
(Fos)MSS = 3.04
ii) using DE
(Fos)DE = 3.604
Attached below is the detailed solution
What is the gear ratio if the number of teeth on the driven gear and pinion is 50 and 80 is it (a) 2/9 (b) 9/2 (c) 18/5 (d) 5/18
Answer
the correct answer is 5/8
A 400 kVA transformer has a primary winding resistance of 0.5 ohm and a secondary winding resistance of 0.001 ohm. The iron loss is 2.5 Kw and the primary and secondary voltages are 5 kV and 320 V respectively. If the power factor of the load is 0.85, determine the efficiency of the transformer on full load
The efficiency of the transformer on full load is 94.92%.
Efficiency of the transformer is the ratio of output power to input power.
Efficiency = (Output Power / Input Power) x 100%
The input power to the transformer is given as Input Power = Output Power + Transformer Losses. The transformer losses can be categorized as copper losses and iron losses.
Copper losses are caused by the resistance of the winding, and are proportional to the square of the current flowing through the winding. On the other hand, iron losses are caused by the magnetization and demagnetization of the core laminations, and are proportional to the frequency of the applied voltage.
Let's determine the copper losses for both the primary and secondary winding of the transformer.
Copper Losses in Primary Winding:
\(P_p = I_p^2 * R_p = (KVA / V_p)^2 * R_p\)
\(= (400 / 5000)^2 * 0.5\)
\(= 0.016 KW = 16 W\)
Copper Losses in Secondary Winding:
\(P_s = I_s^2 * R_s\)
\(= (KVA / V_s)^2 * R_s\)
\(= (400 / 320)^2 * 0.001\)
\(= 0.025 KW = 25 W\)
Iron losses for the transformer = 2.5 KW.
The Input power to the transformer at full load = Output Power + Transformer Losses = 400 KVA x 0.85 + 16 + 25 + 2.5 = 358.5 KW.
We know that Efficiency of the transformer is the ratio of output power to input power. Efficiency = (Output Power / Input Power) x 100%.
Efficiency of transformer on full load = 340 / 358.5 x 100% = 94.92%.
Therefore, the efficiency of the transformer on full load is 94.92%.
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The larger the displacement of an engine, the less power it produces true or false
Answer: False
Explanation:
John plans to deposit $1000 at the end of next year into an account that earns 10% year. Further, he estimates that his deposits will increase by $100 per year for only 10 years thereafter, then cease. The closest equivalent present worth is: less than $8,000 between $8,000−8,300 Between $8,300−$8,600 Higher than $8,600
The closest equivalent present worth of John's deposits is less than $8,000.
To determine the closest equivalent present worth of John's deposits, we need to calculate the present value of the cash flows he will make.
The deposit of $1000 at the end of the next year can be considered a future value (FV). We need to calculate its present value (PV) using the formula:
PV = FV / (1 + r)^n
Where:
FV = $1000
r = interest rate = 10% = 0.10
n = number of years = 1
PV = $1000 / (1 + 0.10)^1 = $909.09
Next, we calculate the present value of the increasing deposits of $100 per year for 10 years. These cash flows form an arithmetic progression with a common difference of $100.
Using the formula for the sum of an arithmetic progression, we can find the present value of these cash flows:
PV = (n/2) * (2a + (n-1)d)
Where:
n = number of terms = 10
a = first term = $100
d = common difference = $100
PV = (10/2) * (2*100 + (10-1)*100) = 5 * (200 + 9 * 100) = $5,500
Now, we can sum up the present values of both cash flows:
PV = $909.09 + $5,500 = $6,409.09
The closest equivalent present worth is between $8,000 - $8,300. Since the calculated present value is lower than $8,000, the closest equivalent present worth is less than $8,000.
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