Answer:Shock Absorbing
Explanation:
A) Estimate the concentration in (μg/m 3
) of SO 2
at the Atascadero Community Health Center's HVAC air intakes located on the roof (12.3 m above ground) as a results of emissions from the stack shown on the map. Assume that the Gaussian Plume equation with reflection represents the plume. The system is described by the following: physical stack height =13.6 m, exit gas velocity =8.7 m/s, stack diameter = 2.0 m, stack temperature =132 ∘
C, ambient temperature =22.1 ∘
C, sunny day, wind velocity at sack height =5.44 m/s, and stack emission rate =1300 g/s. For this same problem, please answer the following questions: B) For the stack in part A, If the pollutant being emitted from the stack is sulfur dioxide (MW = 64.066 g/mole ), what is the sulfur dioxide concentration in ppm at the Atascadero Community Health Center HVAC air intakes. C) For the stack in part A, if the stack gas velocity increases, the plume rise would most likely . Assume all other factors do not change. 1. increase 2. stay the same 3. decrease D) For the stack in part A, if the emission rate was doubled, the concentration at the receptor will - Assume all other factors do not change. 1. double 2. stay the same 3. decrease 4. increase 5. will be halved
The concentration of sulfur dioxide in ppm at the Atascadero Community Health Center HVAC air intakes is approximately 0.307 ppm.
Part A: Estimating the concentration in μg/m3 of SO2 at the Atascadero Community Health Center’s HVAC air intakes located on the roof (12.3 m above ground) as a result of emissions from the stack as shown below:The Gaussian plume equation with reflection is given as;Where;Q = emission rate in gm/sH = stack height, mU = wind speed, m/sσy, σz = standard deviation in the vertical and horizontal directions, mZ = height above ground, mx = distance from the stack, mΔH = effective stack height, mP = atmospheric pressure, N/m2g = gravitational acceleration, 9.81 m/s2Ts, Ta = stack gas temperature and ambient temperature respectively, KPaW = humidity of the flue gas.The following values have been given;Q = 1300 gm/sH = 13.6 mU = 5.44 m/sσy, σz = 1.63* (x/H)1/3 = 1.63 * (12.3/13.6)1/3 = 1.22 mZ = 12.3 mx = 0ΔH = 0.2 * H = 2.72 mP = 101.3 kPa (assume standard pressure)g = 9.81 m/s2Ts = 132+273 = 405 KTa = 22.1+273 = 295.1 KW = 0.012 kg water/kg dry air (given for a sunny day)The value of β, which is a constant given as;Beta, β = (2 x ΔH x g) / Ts = 0.0042/s.To convert g/s to μg/m3, we will use the following formula;1 gm/m3 = 1000 μg/m3.Quality check;Q = 1300 g/s = 1.3 kg/s which is similar to 1.3*3600 = 4680 kg/hr. Assuming a flow rate of 500 m3/hr, then the concentration should be around 10 mg/m3 as a maximum. Our answer should not be greater than this value.Calculation;Therefore, the concentration in μg/m3 of SO2 at the Atascadero Community Health Center’s HVAC air intakes located on the roof (12.3 m above ground) is approximately 189 μg/m3. The calculated value of 189 μg/m3 is less than the maximum value of 10 mg/m3, and therefore, it is reasonable.Part B:Sulfur dioxide, SO2, MW = 64.066 g/mol. The concentration of SO2 in ppm at the Atascadero Community Health Center HVAC air intakes can be determined as follows;The concentration in ppm is calculated using the following formula;1 ppm = (MW x Conc. in μg/m3) / (24.45 x temperature in K / P)Substituting the known values;T = 295.1 K (temperature)P = 101.3 KPa (pressure)MW = 64.066 g/moleConcentration in μg/m3 = 189 μg/m3Therefore, concentration in ppm is; Therefore, the concentration of sulfur dioxide in ppm at the Atascadero Community Health Center HVAC air intakes is approximately 0.307 ppm.Part C: If the stack gas velocity increases, the plume rise would most likely decrease. Assume all other factors do not change. Therefore, the answer is option 3, decrease.Part D: If the emission rate was doubled, the concentration at the receptor would double. Assume all other factors do not change. Therefore, the answer is option 1, double.
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A circuit has two resistors in parallel, each resistor is 6 ohms. This circuit is connected to a single resistor of 6 ohms, to form a series-parallel circuit. What is the total resistance of the circuit?
The tatal resistance of the series-parallel circuit with two resistor connected in parallel which combination is connected in series to a single resistor is 9 ohms.
What is a resistance?
This can be defined as the opposition to current flow in a circuit.
To calculate the total resistance, first we need to find the total resistance of the parallel resistor.
For parallel,
R' = (R₁R₂)/(R₁+R₂)............Equation 1Where:
R' = Total resistance of the parallel resistor.
From the question,
Given:
R₁ = 6 ohmsR₂ = 6 ohmsSubstitute these values into equation 1
R' = (6×6)(6+6)R' = 3 ohms.Finally, we combine the effective parallel resistance in series to the single resistance to the the total resistance of the circuit.
Rt = R'+R₃.................. Equation 2Where:
Rt = Total resistance of the circuit.From the question,
R' = 3 ohmsR₃ = 6 ohmsSubstitute these values into equation 2
Rt = 3+6Rt = 9 ohms.Hence, the total resistance of the circuit is 9 ohms.
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after one monkey sees a second monkey open a box that contains a banana, the first animal opens a similar box with great speed. this best illustrates
The behavior described, where a monkey quickly opens a box after observing another monkey do the same to access a banana, is an example of social learning or observational learning.
Observational learning is a process through which an individual acquires or modifies a behavior by observing the actions and outcomes of others. It involves the ability to learn by watching and imitating the behaviors of others, without requiring direct personal experience or trial-and-error learning.
In the given scenario, the first monkey observed the second monkey opening a box to access a banana. By witnessing this action and the positive outcome (obtaining the banana), the first monkey learned that the box can be opened to obtain a desired reward.
The quickness with which the first monkey opens a similar box suggests that it has learned through observation and is now applying that knowledge to achieve the same outcome. This behavior illustrates the ability to learn from others and imitate their actions, which is a characteristic of social learning.
Social learning is not limited to monkeys; it is a widespread phenomenon observed in many animal species, including humans. It plays a crucial role in the transmission of knowledge, acquisition of new skills, and the development of cultural traditions within a group or community.
In summary, the behavior of the first monkey quickly opening a box after observing another monkey do the same to access a banana exemplifies social learning or observational learning, where an individual learns and imitates behaviors by observing the actions and outcomes of others.
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The demand schedules for Jones, Smith, and other buyers are shown in the table below:
Draw the 4 demand curves for i) Jones ii) Smith iii) Other buyers and iv) All buyers.
The demand curve is the graphical representation of the relationship between the price of a good and the quantity demanded for a given period of time.
What is a demand schedule?A demand schedule is a table which shows the quantity demanded of a good or service at different price levels.
A demand schedule can be graphed as a continuous demand curve on a chart where the Y-axis represents the price and the X-axis represents quantity.
Here, a typical representation, the price will appear on the left vertical axis, the quantity demanded on the horizontal axis.
Note that the complete information wasn't found and an overview was given.
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A piece of iron of specific heat capacity 0.04 Jkg ¹K and mass 400 kg, is quickly
dropped into 30 kg of water at 10 °C contained in a calorimeter of 120 kg and specific
heat capacity of 0.1 Jkg¹K. If the temperature of the mixture is 30 °C, calculate the
initial temperature of the hot iron (4200 Jkg ¹K¹ = specific heat capacity of water)
(4 marks)
The hot iron's initial temperature is 157545°C.
What is iron?
Iron has the atomic number 26 and the chemical symbol Fe. It is a metal from the first transition series and group 8 of the periodic table.
Given mass of the iron mi = 400 kg
Specific heat capacity of iron Ci; = 0.04 Jkg⁻¹k⁻¹
Mass of water Mw = 30 kg
Specific heat capacity of water C w = 4200 Jkg⁻¹ k⁻¹
Temperature of water Tw = 10°c
Mass of Calorimeter Mc = 120 kg
Specific heat capacity of Calorimeter Cc = 0.1 Jkg⁻¹K⁻¹
Final temperature of the mixture of T f = 30°c
Let Ti be the initial temperature of the iron.
We know that, heat lost and heat gained will be equal.
So,
Mc Cc ( T f - 10 ) + Mw C w ( T f - 10 ) + Mi Ci; ( T f - T i ) = 0.
=120 x 0.1 ( T f - 10 )+ 30 x 4200 (T f - 10) + 400 x 0.04 (T f - T i) = 0.
=12Tf - 120 + 126000Tf - 1260000 + 16Tf - 16 T i = 0
= - 16 T i = 1260120 ( 26028 x T f)
T i = 157545°C.
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find x when ln2x=ln4
Answer:
x=\ln(2)\approx 0.693147181 please mark as brainliest
Fifty-one open-end welded steel storage boxes are welded from 0.48 cm steel plate. Find, in centimeters, the length of plate needed for one box. Carry the answer to two decimal places.
The length of plate needed for one box is 9470 cm.
Given that there are fifty-one open-end welded steel storage boxes, and each is welded from 0.48 cm steel plate, we can find the length of plate needed for one box using the formula:
The length of plate needed for one box = the surface area of the box ÷ thickness of the steel plate.
The surface area of the box is given as:
Surface area of the box = 2(lw + lh + wh), where l is the length, w is the width, and h is the height of the box. The thickness of the steel plate is given as 0.48 cm.
The volume of one open-end welded steel storage box is given as:l × w × h = 1.9 cubic meters. Hence, the volume of fifty-one open-end welded steel storage boxes is given as:51 × 1.9 cubic meters = 96.9 cubic meters.
The total surface area of fifty-one open-end welded steel storage boxes is given as:2(lw + lh + wh) × 51. Calculating the surface areas of each dimension of the box we get;lw = 0.6 × 0.6 × 51 = 18.36, lh = 0.6 × 0.8 × 51 = 24.48, and wh = 0.8 × 0.6 × 51 = 24.48. Therefore, the surface area of 51 boxes is:Surface area of 51 boxes = 2(lw + lh + wh) × 51 = 4549.44 square meters.
Thus, the length of plate needed for one box is:
The length of plate needed for one box = the surface area of the box ÷ thickness of the steel plate= 4549.44 / 0.48= 9470 cm. Therefore, the length of plate needed for one box is 9470 cm.
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Hey guys can anyone list chemical engineering advancement that has been discovered within the past 20 years
8. What are two ways SpaceX plans to change personal travel?
Answer:
as all the people should go near stratosphere
A stall occurs when the smooth airflow over the unmanned airplane`s wing is disrupted, and the lift degenerates rapidly. This is caused when the wing
A stall happens when the smooth airflow over the unmanned airplane`s wing is disrupted, and the lift degenerates rapidly. This is caused when the wing "exceeds its critical angle of attack."
The angle of attack refers to the angle at which the airplane's wing meets the air that is flowing over it. When an airplane actually is taking off, it is lifting the nose up into the air. And, if that nose continues to rise ultimately it reaches a point where the air is not able to smoothly flow over the wing, causing the airplane to drop. And, this is the point when the airplane exceeds its critical angle of attack.
Exceeding the critical angle of attack is known to be a stall. This has no concern with the engine stalling, it just concerns with the wings not producing enough lift to keep the airplane in the air.
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A helicopter landing pad is to be constructed over an area of 40 ft by 70 ft. It is to be 2 ft thick. How many cubic feet must be ordered?
The volume of cuboid in cubic feet which must be ordered is equal to 5,600 cubic feet.
Given the following data:
Length of helicopter landing pad = 40 ft.
Width of helicopter landing pad = 70 ft.
Height or thickness of helicopter landing pad = 2 ft.
How to calculate the volume of a geometric figure?Based on the information provided, we can reasonably infer and logically deduce that the shape of this helicopter landing pad is a cuboid.
Mathematically, the volume of a cuboid can be calculated by using this following formula:
Volume = l × w × h
Where:
l represents the length of a cuboid.w represents the width of a cuboid.h represents the height of a cuboid.Substituting the given parameters into the formula, we have;
Volume = 40 × 70 × 2
Volume = 5,600 cubic feet.
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How does Python handle memory management compared to other programming languages?
Answer:
Python optimizes memory utilization by allocating the same object reference to a new variable if the object already exists with the same value
Answer the following questions about your own experience in the labor force.
a. When you or one of your friends is looking for a part-time job, how many weeks does it typically take? After you find a job, how many weeks does it typically take?
b. From your estimates, calculate (in a rate per week) your rate of job finding, f, and your rate of job separation, s. (Hint: If f is the rate of job finding, then the average spell of unemployment is 1/f.)
c. What is the natural rate of unemployment for the population you represent?
Answer:
Following are the solution to this question:
Explanation:
In point a:
This takes me six weeks for both the took ideas that I was searching for but it continued for 3 years (12 weeks) as it's an intern.
In point b:
Finding job:
\(\to f = \frac{1}{6} = 0.166\) jobs weekly
Separation of jobs:
\(\to \frac{ 1}{12}=0.083\) employment per week.
In point c:
Its natural rate of unemployment is: \(\frac{U}{L} = s+(s \times f)\).
The normal level of employment for that community I represent, once we add up from that preceding section, is as follows:
\(\to \frac{U}{L} = 0.083+ (0.083\times 0.166) = 0.096\)
If on average, it requires six weeks to find another job or the work lasted 12 weeks, the group's unemployment level is \(0.096 \ \%\).
Type the correct answer in the box. Spell all words correctly.
A genetically engineered hormone, , can treat Mary’s child for growth hormone deficiencies by stimulating body growth and increasing muscle mass.
Answer:
recombinant human growth
Explanation:
Answer:
recombinant human growth
Explanation:
yes
The boost converter of Fig. 6-8 has parameter Vs 20 V, D 0.6, R 12.5 , L 10 H, C 40 F, and the switching frequency is 200 kHz. (a) Determine the output voltage. (b) Determine the average, maximum, and minimum inductor currents. (c) Determine the output voltage ripple. (d) Determine the average current in the diode. Assume ideal components.
Answer:
a) the output voltage is 50 V
b)
- the average inductor current is 10 A
- the maximum inductor current is 13 A
- the maximum inductor current is 7 A
c) the output voltage ripple is 0.006 or 0.6%V₀
d) the average current in the diode under ideal components is 4 A
Explanation:
Given the data in the question;
a) the output voltage
V₀ = V\(_s\)/( 1 - D )
given that; V\(_s\) = 20 V, D = 0.6
we substitute
V₀ = 20 / ( 1 - 0.6 )
V₀ = 20 / 0.4
V₀ = 50 V
Therefore, the output voltage is 50 V
b)
- the average inductor current
\(I_L\) = V\(_s\) / ( 1 - D )²R
given that R = 12.5 Ω, V\(_s\) = 20 V, D = 0.6
we substitute
\(I_L\) = 20 / (( 1 - 0.6 )² × 12.5)
\(I_L\) = 20 / (( 0.4)² × 12.5)
\(I_L\) = 20 / ( 0.16 × 12.5 )
\(I_L\) = 20 / 2
\(I_L\) = 10 A
Therefore, the average inductor current is 10 A
- the maximum inductor current
\(I_{Lmax\) = [V\(_s\) / ( 1 - D )²R] + [ V
given that, R = 12.5 Ω, V\(_s\) = 20 V, D = 0.6, L = 10 μH, T = 1/200 kHz = 5 hz
we substitute
\(I_{Lmax\) = [20 / (( 1 - 0.6 )² × 12.5)] + [ (20 × 0.6 × 5) / (2 × 10) ]
\(I_{Lmax\) = [20 / 2 ] + [ 60 / 20 ]
\(I_{Lmax\) = 10 + 3
\(I_{Lmax\) = 13 A
Therefore, the maximum inductor current is 13 A
- The minimum inductor current
\(I_{Lmax\) = [V\(_s\) / ( 1 - D )²R] - [ V
given that, R = 12.5 Ω, V\(_s\) = 20 V, D = 0.6, L = 10 μH, T = 1/200 kHz = 5 hz
we substitute
\(I_{Lmin\) = [20 / (( 1 - 0.6 )² × 12.5)] - [ (20 × 0.6 × 5) / (2 × 10) ]
\(I_{Lmin\) = [20 / 2 ] -[ 60 / 20 ]
\(I_{Lmin\) = 10 - 3
\(I_{Lmin\) = 7 A
Therefore, the maximum inductor current is 7 A
c) the output voltage ripple
ΔV₀/V₀ = D/RCf
given that; R = 12.5 Ω, C = 40 μF = 40 × 10⁻⁶ F, D = 0.6, f = 200 Khz = 2 × 10⁵ Hz
we substitute
ΔV₀/V₀ = 0.6 / (12.5 × (40 × 10⁻⁶) × (2 × 10⁵) )
ΔV₀/V₀ = 0.6 / 100
ΔV₀/V₀ = 0.006 or 0.6%V₀
Therefore, the output voltage ripple is 0.006 or 0.6%V₀
d) the average current in the diode under ideal components;
under ideal components; diode current = output current
hence the diode current will be;
\(I_D\) = V₀/R
as V₀ = 50 V and R = 12.5 Ω
we substitute
\(I_D\) = 50 / 12.5
\(I_D\) = 4 A
Therefore, the average current in the diode under ideal components is 4 A
Generic Motors (GM) is making plans for its weekly operation for next year. GM makes three lines of
cars: Luxury (L), Mid-sized (M), and Economy (E). They have divided the country into four regions:
Northeast (NE), Northwest (NW), Southeast (SE) and Southwest (SW). They have two factories that can
ship to the four distribution center via train. Each distribution center will need to provide cars to the
dealers in that region; this is done via trucking. Note that since customers need their cars within a week,
everything is built on a weekly production and shipment schedule. The following information is included:
1) Production costs and capacities at the two factories for the three lines.
2) Retail cost of the three lines.
I
3) A weekly demand model for each of the four regions.
4) Shipping information from the factories to the distribution center of the four regions.
5) Shipping information from the distribution center to the dealers.
You have been asked to maximize the expected weekly profit for GM.
Make sure the spreadsheet is well documented! Use the color coding and headers we used all
semester long. You do not need to reproduce the spreadsheet in the report except the decision tree,
and a summary of your results.
how would i be able to make a simple mechanism that will feed my bird in a pull of a lever, and know when to refill itself?
Answer: Take two cups. ...
Tie a string to one hole on a cup, then thread it through the hole on one end of a stick.
Tie the end of the string to the other hole in that cup.
Now, take the second cup. ...
Hold the stick on its side, with the cups hanging down. ...
Put weights in the cups to balance.
Explanation:
how long in minutes would it take to fabricate a 4 colored ball in diameter using fdm? assume a layer thickness of , a width of , and the extrudate being deposited at a rate of . the stage movement time is per layer, and it takes to switch between any two materials. assume the support structure has a volumetric fill ratio of .
FDM is a manufacturing process that creates objects layer by layer by depositing molten thermoplastic material.
The length of time it takes to create a four-colored ball with a diameter using FDM is determined by a variety of variables.
These variables are layer thickness, nozzle width, extrudate deposition rate, stage movement time per layer, and the time it takes to change between any two materials.
The ball's construction time can be calculated using these variables.
The following formula can be used to calculate the ball's production time:
Volume of Sphere = 4/3 * pi * r³
Volume of the sphere = 4/3 x pi x 2²³
Volume of the sphere = 33.51 cm³
The total volume of the ball will be 33.51 cm³.
We'll use this to figure out how long it will take to manufacture this ball.
We can use the following formula:
Time = (Layer height x Layer width x 60) / Extrudate Deposition Rate x Stage Movement Time x Fill ratio x Volume of sphere
Time = (0.15 x 0.4 x 60) / 6 x 1 x 0.3 x 33.51The time it takes to fabricate the ball is calculated as follows:
Time = 5.13 hours or 308 minutes
it will take around 308 minutes to fabricate a 4 colored ball in diameter using FDM,
assuming a layer thickness of 0.15mm, a width of 0.4mm, and the extrudate being deposited at a rate of 6 cubic mm per second.
Additionally, it is supposed that the stage movement time is 1 minute per layer, and it takes 1 minute to switch between any two materials.
Finally, assume the support structure has a volumetric fill ratio of 30%.
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write a java script function that allows the user to enter and convert Kenyan shillings into US dollars when a button is clicked on a web page. rate is 1 $ dollar 115 Ksh
Answer:
Explanation:
Like requested the following function is written in JavaScript and prompts the user for a total amount of Kenyan Currency that needs to be converted. It then places that value in a variable and divides it by 115 Ksh so that it gives us the USD value of that currency. Then that value is returned. The function can be attached to any button but it must be done manually when creating the button's onClick method.
function convertCurrency() {
var KenyanAmount = prompt("Please enter the amount of Kenyan you want to convert.");
var usdValue = "$" + (KenyanAmount / 115);
return usdValue;
}
The program is a sequential program, and does not require loops and conditional statements
The function in JavaScript where comments are used to explain each line is as follows:
//This defines the function
function convertCurrency() {
//This gets input for the amount to convert
var Amount = prompt("Kenyan Shillings: ");
//This converts the Kenyan Shillings to US Dollars
var usdValue = KenyanAmount / 115;
//This returns the converted amount to the main method
return usdValue;
}
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Consider a classroom for 56 students and one instructor, each generating heat at a rate of 100 W. Lighting is provided by 18 fluorescent lightbulbs, 40 W each, and the ballasts consume an additional 10 percent. Determine the rate of internal heat generation in this classroom when it is fully occupied. The rate of internal heat generation in this classroom when it is fully occupied is W.
Answer:
What is the probability of selecting the 4 of spade or black diamond from a deck of 52 playing cards?
a) 2/52
b) 4/52
c) 3/52
d) 1/5
Explanation:
List three specific clothing items that should not be worn in a machining setting.
Answer:
sandals, gloves, necklaces
Explanation:
sandals, gloves, necklaces
Applying fatigue failure criteria in 3D, determine the final relation (equation) for the following cases: - Considering only the internal pressure fluctuating from Pmax to Pmin Numerical Application: Pmax=1.0P and Pmin=0.2P σu= 690 MPa σe= 345 MPa Kf=1 ; Define P ? - Considering completely reversed internal pressure (P) and completely reversed bending moment (M) Write just the final equation (no numerical application)
Answer:
Hello your question is incomplete attached below is the complete question
answer :
I) P = t/R * 492.85
II) The final equation : PR / t + 4M/πR3 = б e
Explanation:
attached below is a detailed solution to the given problem
i) P = t/R * 492.85
ii) Final equation : PR / t + 4M/πR3 = б e
I'm interested in knowing if there are two adjacent strings in a list that are very similar to each other. For instance, "Zach" and "Zack" are only one character apart.
Write a function, named "CloseEnough" that takes a const reference to a vector of strings and an int. The vector is a list of strings (each of the same length). The int represents how many characters can be different between any two strings next to each other. This function should return the index (an int) of the string that is within the second arguments distance to the next string in the vector. If no index fulfills this criteria, it should return -1
Here's a function called Close Enough which takes a const reference to a vector of strings and an int. This function is used to check if there are two adjacent strings in a list that are very similar to each other by determining the number of characters that can be different between any two strings next to each other.
The function starts by iterating through the vector of strings from the first to the second to last string. For each string, it then counts the number of differences between it and the next string by comparing the characters at each position.
If the number of differences is less than or equal to the given integer n, the function returns the index of the current string. If there is no such index, the function returns -1.
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charging method .Constant current method
Answer:
There are three common methods of charging a battery; constant voltage, constant current and a combination of constant voltage/constant current with or without a smart charging circuit.
Constant voltage allows the full current of the charger to flow into the battery until the power supply reaches its pre-set voltage. The current will then taper down to a minimum value once that voltage level is reached. The battery can be left connected to the charger until ready for use and will remain at that “float voltage”, trickle charging to compensate for normal battery self-discharge.
Constant current is a simple form of charging batteries, with the current level set at approximately 10% of the maximum battery rating. Charge times are relatively long with the disadvantage that the battery may overheat if it is over-charged, leading to premature battery replacement. This method is suitable for Ni-MH type of batteries. The battery must be disconnected, or a timer function used once charged.
Constant voltage / constant current (CVCC) is a combination of the above two methods. The charger limits the amount of current to a pre-set level until the battery reaches a pre-set voltage level. The current then reduces as the battery becomes fully charged. The lead acid battery uses the constant current constant voltage (CC/CV) charge method. A regulated current raises the terminal voltage until the upper charge voltage limit is reached, at which point the current drops due to saturation.
Which of the following refers to the process in which engineers complete and repeat a sequence of steps to come closer to the project goal?
The process in question is referred to as the iterative design process. Engineers utilize this method by completing and repeating a sequence of steps in order to continually improve and refine their designs as they work towards achieving the project goal. This approach allows for flexibility and adaptability in the design process, as engineers can make adjustments and modifications based on feedback and testing, ultimately leading to a more successful outcome.
A company makes two products (X and Y) using two machines (A and B). Each unit of X that is produced requires 50 minutes processing time on machine A and 30 minutes processing time on machine B. Each unit of Y that is produced requires 24 minutes processing time on machine A and 33 minutes processing time on machine B. At the start of the current week there are 30 units of X and 90 units of Y in stock. Available processing time on machine A is forecast to be 40 hours and on machine B is forecast to be 35 hours. The demand for X in the current week is forecast to be 75 units and for Y is forecast to be 95 units. Company policy is to maximize the combined sum of the units of X and the units of Y in the stock at the end of the week. Solve this linear program graphically
The optimal solution is to produce 45 units of X and 5 units of Y to meet the demand—stock at the end of the week: 0 units of X and 0 units of Y.
How to solveTo maximize the combined sum of units X and Y in stock at the end of the week, we must determine how many units of X and Y can be produced given the available machine processing time.
Convert machine hours to minutes: Machine A = 40 * 60 = 2400 minutes; Machine B = 35 * 60 = 2100 minutes.
Set up equations for machine time: 50X + 24Y <= 2400 (Machine A); 30X + 33Y <= 2100 (Machine B).
Given initial stock and demand, calculate the remaining units needed: X = 75 - 30 = 45; Y = 95 - 90 = 5.
Find production quantities within constraints that maximize stock (use Integer Linear Programming or trial-and-error method).
The optimal solution is to produce 45 units of X and 5 units of Y to meet the demand—stock at the end of the week: 0 units of X and 0 units of Y.
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If you deposit $ 1000 per month into an investment account that pays interest at a rate of 9% per year compounded quarterly.how much will be in your account at the end of 5 years ?assume no interpèriod compounding
Answer:
5,465.4165939453
Explanation:
formula
A=P(1+r/n)^n(t)
p=1000
r=0.09
n=4
t=5
Student a says when tools like screwdrivers, punches, and chisels become worn they must be discarded. student b says these tools may be dressed when they become worn. who is correct? group of answer choices
student B is right because tools like screwdrivers, punches, and chisels that are worn can be dressed.
Fill your screwdriver with Coke to make it lighter. The two ideal possibilities are club soda and ginger ale. Use emery paper or your preferred sharpening stone.
Begin softly with one side. Simply turn the tool around and grind the opposite side. Continue doing this until the grind is equal on both sides.
However, you could also want to think about something a little more interesting like Dry Cucumber Soda or Q Ginger Ale. Alternately, add sparkling wine and get ideas from beverages like mimosa.
Here are a few techniques for cleaning up used and worn-out tools like screwdrivers.
Learn more about worn-out tools here:
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The system use to complete this drawing called as_____
Answer:
Technical drawing
Explanation:
The drawings reflect what the project specifications are unlikely to cover
What should you do if you encounter a fishing boat while out in your vessel?.
Answer:
if you encounter fishing or hunting boats while you are paddling, be courteous.
Give them a wide berth.
Never run overfishing lines. Be aware that anglers may have lines out to the sides of their boat or trolling behind them.
Explanation: