The actual moisture content is the ratio of the water weight to the total weight, while the free moisture content is the ratio of the free water weight to the dry solid weight.
The mass of water vaporized (loss in weight) is equal to the mass of the free water plus the mass of the bound water (water of crystallization), while the mass of dry solid is equal to the mass of the original wet solid less the mass of the free water. For example, given a wet material that weighs 20 kg and a completely dry material that weighs 12.3 kg. The loss in weight is
20 - 12.3 = 7.7 kg.
The bound water is given as
15.8 kg H20/10019 dry solid.
To calculate the amount of bound water in this material, multiply the mass of dry solid by the bound water fraction.
15.8 kg H20/10019 dry solid × 12.3 kg dry solid = 1.996 kg H20
The free moisture content is the ratio of the weight of the free water to the weight of the dry solid. The free water is the difference between the total water and the bound water.
7.7 kg total water – 1.996 kg bound water = 5.704 kg free water
Free moisture content = 5.704 kg free water / 12.3 kg
dry solid = 0.464 kg H20 / kg dry solid
The actual moisture content is the ratio of the total water weight to the weight of the wet solid.
Actual moisture content
= 7.7 kg total water / 20 kg wet solid = 0.385 kg H20 / kg wet solid
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what could happen if the engine was uncowled during the starting and operating procedures
If an engine fails during rollout or just before takeoff, immediately shut both throttles and land the aircraft safely. Before reaching a safe single engine speed right away after takeoff, drop your nose to increase velocity.
What is the engine starting procedure?Closing the throttle, turning off the fuel pump, setting the mixture control to idle cutoff, and simply cranking the engine is the most reliable hot start method I've found.
What is the procedure for engine failure?If an engine fails during rollout or just before takeoff, immediately shut both throttles and land the aircraft safely. Before reaching a safe single engine speed right away after takeoff, drop your nose to increase velocity. If you are unable to climb, close both throttles and land straight ahead.
What happens if engine fails during take off?The typical practice for the majority of aircraft would be to abandon takeoff if an engine failed during takeoff. In small aircraft, the pilot should turn the throttles down to idle, activate the speed brakes (if provided), and apply the brakes as needed if the engine fails before VR (Rotation Speed).
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here you can find my "english language" practice test. thanks in advance to solve that.
***Rewrite the sentences correct form of either infinitive or ing form without losing the meaning of the given sentences.
1) No matter how hard you tried, you will not convince Sarah. -Its no use Sarah.
2) The kids cant wait to go on holiday. (look forward to) -The kids on holiday.
3) He decided he would go on a business trip in september rather than in may. (choose) - He on a business trip in september.
4)They made me study hard when i was at university. I was at university.
5) I went to my local bank about getting a loan. (view) I went to my local bank a loan.
1) No matter how hard you try, Sarah will not be persuaded.
2) The kids are excited to go on vacation.
3. He opted to travel for business in September as opposed to May.
4) They pushed me work hard on my studies while I was in college.
5) I went to my neighbourhood bank to ask about obtaining a loan.
Note: Number 5's corrected sentence was puzzling. I assumed that asking about loans was the intended meaning. If you would like more information so that I can understand what you meant, please let me know.
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Which of the following is a better thesis statement? Freedom is not free. American’s veterans pay a high price for our freedom. America’s veteran’s defend our freedom, but they sacrifice their personal ambitions and their lives, and many of them suffer physically and mentally from their experiences.
Answer:
C). America’s veterans defend our freedom, but they sacrifice their personal ambitions and their lives, and many of them suffer physically and mentally from their experiences.
Explanation:
A good thesis statement must provide the central idea or theme of the paper or the essay in a capsule form along with its theoretical base. The key characteristics of a thesis statement are its arguability, specificity, and intensity. As per these descriptions, the above statement correctly relates the main point('America's...freedom') very clearly and precisely. It also contains the arguability which can be supported through further evidences.
Which of the following is an example of a tax
Answer:
A tax is a monetary payment without the right to individual consideration, which a public law imposes on all taxable persons - including both natural and legal persons - in order to generate income. This means that taxes are public-law levies that everyone must pay to cover general financial needs who meet the criteria of tax liability, whereby the generation of income should at least be an auxiliary purpose. Taxes are usually the main source of income of a modern state. Due to the financial implications for all citizens and the complex tax legislation, taxes and other charges are an ongoing political and social issue.
I dont know I asked this to
Explanation:
Factors such as brake shoe orientation, pin location, and direction of rotation determine whether a particular brake shoe is considered to be self-energizing or self-deenergizing. Sketch a brake drum where the left shoe is self-energizing and the right shoe is self-deenergizing. Which shoe will produce more braking torque, assuming equal actuation forces and identical brake shoes
Answer:
Self energizing brake shoe produces more Torque
Explanation:
Attached below is the sketches of the various cases
The cases are :
case 1 ; deenergizing
case 2 ; self energizing
case 3 ; produces high braking torque
For a brake to be self energizing when the Frictional torque and braking torque are in the same direction
summary from equation 3
when: b > uc the brake is controllable
b = uc It is self locking
b < uc The brake is uncontrollable
Assume quicksort always chooses a pivot that divides the elements into two equal parts.
1. How many partitioning levels are required for a list of 8 elements?
2. How many partitioning "levels" are required for a list of 1024 elements?
3. How many total comparisons are required to sort a list of 1024 elements?
Assuming quicksort always chooses a pivot that divides the elements into two equal parts, the answers are:
1. The number of partitioning levels required for a list of 8 elements is 3.
2. The number of partitioning levels required for a list of 1024 elements is 10.
3. The total number of comparisons required to sort a list of 1024 elements is 9217.
Step-by-step explanation:
1. For a list of 8 elements with an ideal pivot that divides the elements into two equal parts, the number of partitioning levels required is 3. Here's a step-by-step explanation:
- Level 1: 8 elements are divided into 2 groups of 4 elements each.
- Level 2: Each group of 4 is divided into 2 groups of 2 elements each.
- Level 3: Each group of 2 is divided into 2 groups of 1 element each (sorted).
2. For a list of 1024 elements with an ideal pivot that divides the elements into two equal parts, the number of partitioning levels required is 10. This is because 2^10 = 1024. In each level, the number of elements in each group is halved, so after 10 levels, there will be groups of 1 element each (sorted).
3. To calculate the total number of comparisons required to sort a list of 1024 elements using quicksort with an ideal pivot, we can use the formula n * log2(n) - n + 1.
In this case, n = 1024:
- 1024 * log2(1024) - 1024 + 1 = 1024 * 10 - 1024 + 1 = 10240 - 1024 + 1 = 9217.
So, a total of 9217 comparisons are required to sort a list of 1024 elements with an ideal pivot.
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If quicksort always chooses a pivot that divides the elements into two equal parts, then we can assume that the algorithm will use the median element as the pivot.
1. For a list of 8 elements, quicksort with this assumption will require 3 partitioning levels. The first partitioning will divide the list into two equal parts, each with 4 elements. The second partitioning will divide each of these parts into two equal parts, each with 2 elements. Finally, the third partitioning will divide each of these parts into two equal parts, each with 1 element. 2. For a list of 1024 elements, quicksort with this assumption will require 10 partitioning levels. Each level will divide the list into two equal parts, and since 2^10 = 1024, we need 10 levels to reduce the list to single elements. 3. The total number of comparisons required to sort a list of 1024 elements using quicksort with this assumption can be calculated using the formula 1024 * log2(1024), which is approximately 10,240 comparisons. This is because each level of partitioning requires comparisons between each element and the pivot, and there are a total of 10 levels of partitioning.
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1. When jump starting a car, make sure it is in __________.
Answer:
Make sure both cars are in park or neutral with the parking brake engaged. This makes sure that all electrical functions (headlights, radios, etc.) are turned off.
When jump starting a car, make sure it is in the right distance of the cables to reach battery.
What is jump starting a car?Jump starting a car is commonly done from another car, and also it can be done from a jump battery. If we have to jump start a car in a safe way, the following steps are more necessary,Take out your jumper cables.Before the cable was taking, Make sure cars are in the right distance to have the jumper cables reach each battery.Place both vehicles in Park or Neutral and shut off the ignition in both cars.When jump-starting a car, it was must to remember jumper cables typically have two clamps, one with the label “positive” in red and “negative” in black.Attach one of the red clips to the positive terminal of your battery. Attach the other red clip to the positive terminal of the other car. The similar way do for the negative terminals.Thus, when jump-starting a car, always remember the cables are in the right position.
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(a) (6 points) Find the integer a in {0, 1,..., 26} such that a = -15 (mod 27). Explain. (b) (6 points) Which positive integers less than 12 are relatively prime to 12?
a. a = 12 is the solution to the given congruence relation. b. the positive integers less than 12 that are relatively prime to 12 are 1, 5, 7, and 11.
(a) The main answer: The integer a that satisfies a ≡ -15 (mod 27) is 12.
To find the value of a, we need to consider the congruence relation a ≡ -15 (mod 27). This means that a and -15 have the same remainder when divided by 27.
To determine the value of a, we can add multiples of 27 to -15 until we find a number that falls within the range of {0, 1,..., 26}. By adding 27 to -15, we get 12. Therefore, a = 12 is the solution to the given congruence relation.
(b) The main answer: The positive integers less than 12 that are relatively prime to 12 are 1, 5, 7, and 11.
Supporting explanation: Two integers are relatively prime if their greatest common divisor (GCD) is 1. In this case, we are looking for positive integers that have no common factors with 12 other than 1.
To determine which numbers satisfy this condition, we can examine each positive integer less than 12 and calculate its GCD with 12.
For 1, the GCD(1, 12) = 1, which means it is relatively prime to 12.
For 2, the GCD(2, 12) = 2, so it is not relatively prime to 12.
For 3, the GCD(3, 12) = 3, so it is not relatively prime to 12.
For 4, the GCD(4, 12) = 4, so it is not relatively prime to 12.
For 5, the GCD(5, 12) = 1, which means it is relatively prime to 12.
For 6, the GCD(6, 12) = 6, so it is not relatively prime to 12.
For 7, the GCD(7, 12) = 1, which means it is relatively prime to 12.
For 8, the GCD(8, 12) = 4, so it is not relatively prime to 12.
For 9, the GCD(9, 12) = 3, so it is not relatively prime to 12.
For 10, the GCD(10, 12) = 2, so it is not relatively prime to 12.
For 11, the GCD(11, 12) = 1, which means it is relatively prime to 12.
Therefore, the positive integers less than 12 that are relatively prime to 12 are 1, 5, 7, and 11.
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Three rectangular rods have the same length L. Which rod will experience the smallest normal strain? • the rod with a 1.00-mm-deformation • the rod with a 0.01-mm-deformation • the rod with a 0.10-mm-deformation
The rod with a 0.01-mm deformation will experience the smallest normal strain.
Normal strain is a measure of the deformation or elongation of a material along the direction perpendicular to the applied force. It is calculated as the change in length divided by the original length of the object. In this case, we have three rectangular rods with the same length, L, but different deformations.
The normal strain experienced by a rod is directly proportional to its deformation. The smaller the deformation, the smaller the normal strain. Therefore, the rod with the smallest deformation, which is the rod with a 0.01-mm deformation, will experience the smallest normal strain.
The other rods with greater deformations, 1.00 mm and 0.10 mm, will have larger normal strains compared to the rod with a 0.01-mm deformation. This means that the rod with a 0.01-mm deformation will be less elongated or strained under the same applied force compared to the other rods.
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describe a process that would satisfy the conservation of energy principle but does not actually occur in nature
The only process I can think of that would satisfy the conservation of energy principle but does not occur in nature is a perpetual motion machine.
Working principle of perpetual motion machinePerpetual Motion Machine would produce work indefinitely without any external input of energy, thus violating the first law of thermodynamics which states that energy cannot be created or destroyed, only converted from one form to another.
While it is theoretically possible to design a machine that appears to produce more energy than it consumes, such a machine cannot exist in reality due to the various energy losses that occur in any real-world system.
These losses can occur due to factors such as friction, heat transfer, and resistance in electrical circuits, among others.
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Tech A says that radial ply tires have much more flexible sidewalls than bias-ply tires because of their construction. Tech B says that bias-ply tires have a more durable construction than radial tires. Who is correct?
Answer:
Tech A and Tech B are correct
Explanation:
Tech A is correct because radial ply tires have more flexible sidewalls than radial tires due to the fact that radial tires make use of two or more layers of casing piles and are thus not much flexible.
Also, tech B is correct because bias-ply tires typically have more durable construction than radial tires
+ The single bridge rectifierop righas to deliverade current
Of 30A at a dc output Voltage of 100v. if it's supplied by a simple
Phase transformer of ratio 4il.compute the premary and secondary
Voltages and currents. Also calculate the ripple factor for the load
Voltape wave form. Assume the load is highly inductive.
AD2
Eve Ymsinut
load
ADA
DA
93
Answer:
you are so smart
Explanation:
i have 8 cARS
Which of these is the number of degrees of crankshaft rotation for which the valve is
lifted off the seat?
A. Duration
B. Lift
C. Overlap
D. Underlap
Why is the reasoning important when you make a scientific argument?
Determine the length of the base if the height of a triangle is 28 feet and the area of the triangle is 350 square feet.
Answer: 25 ft
Explanation:
For a triangle, the area is given by
A = (1/2)base*height
Rearranging,
base = 2A/height
Substituting the given values,
base = 2(350 ft^2)/(28 ft) = 25 ft
What strategy may help a visual learner process data?
A strategy that may help a visual learner process data is a pie chart or histogram.
dentify the recommended practices when putting a tip on a micropipette. Select one or more: Gently push the micropipette into the tip and tap lightly to load the tip. Hold the micropipette at a 45 degree angle to the tip rack. Use the tip size designed for the micropipette size in use. Remove the tip from the rack and place it on micropipette by hand.
Answer:
Gently push the micropipette into the tip box and tag tightly to load the tip.
Explanation:
The recommended practice when putting a tip on a micropipette is ; Gently push the micropipette into the tip box and tag tightly to load the tip.
Given that it is not advisable to remove tip from rack so as not to contaminate it, if we want to put a tip on a micropipette we should gently push the micropipette into the tip box.
1). An electronic PID temperature controller is at steady state with an output of 10 mA. The set point equals the initial steady-state process temperature. At t = 0, the error signal is increased at the rate of 0. 4 mA/min, which is equivalent to a rate of 2°F/min. If the current settings are Kc = 3 (dimensionless), τI = 1. 5 min, τD = 0. 5 min, then (a) Derive an expression for the controller output p(t) (b) Repeat (a) for τD = 0 (a PI controller only) (c) Plot the two controller outputs and qualitatively discuss their differences. (d) What is the transmitter calibration of mA/°F? (e) Say after 1 min, the error signal went back to zero. What would p(t) be in that case?
With an output of 10 mA, an electronic PID temperature controller is in steady state. The initial steady-state process temperature is the same as the set point. The error signal increases at a rate of 0. 4 mA/min, or 2°F/min, starting at time t = 0. What is the transmitter calibration in mA/°F if the settings are Kc = 3 , I = 1. 5 min, and D = 0. 5 min?
Comparing the measurement results supplied by a device under test with those of a known-accurate calibration standard is the process of calibration in measurement technology and metrology. Such a standard could be an apparatus that produces the quantity to be measured, such as a voltage generator, sound generator, or physical artefact like a metre ruler. Each of these choices has a known level of accuracy. The comparison could show that the device under test has no significant errors, has significant errors but no modifications have been made, has adjustments to reduce the errors to acceptable levels, or has none of these results. The term "calibration" strictly speaking only relates to the comparison itself and does not include any further modifications.
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I2 + KOH = KIO3 + KI + H2O Marque la(s) respuesta(s) falsas: La suma de coeficientes mínimos del agua y el agente reductor es 6 El KI es la forma reducida El KOH es el agente reductor La suma de electrones transferidos más el coeficiente mínimo del agua suman 16 La relación entre el agente oxidante y el agente reductor es 1
Answer:
Las declaraciones falsas incluyen
- El KOH es el agente reductor.
- La suma de electrones transferidos más el coeficiente mínimo de agua suman 16.
Todas las otras declaraciones son ciertas.
The false statements include
- The KOH is the reducing agent.
- The sum of transferred electrons plus the minimum coefficient of water add up to 16.
All the other statements are true.
Explanation:
Es evidente que esta es una reacción redox en presencia de medio básico. Entonces, equilibraremos esta reacción redox en pasos. I₂ + KOH → KIO₃ + KI + H₂O
Paso 1 Eliminar los iones espectadores; Estos son los iones que aparecen en ambos lados de la reacción. Es evidente que solo el ion de potasio (K⁺) es el ion espectador de esta reacción.
I₂ + OH⁻ → IO₃⁻ + I⁻ + H₂O
Paso 2
Separamos la reacción en las medias reacciones de oxidación y reductina. La oxidación es la pérdida de electrones que conduce a un aumento del número de oxidación del ion, mientras que la reducción es la ganancia de elecrones que conduce a una disminución en el número de oxidación del ion. También es evidente que es el gas de yodo el que se reduce y oxida para esta reacción.
El gas de yodo se reduce a I⁻ (el número de oxidación se reduce de 0 a -1) y el gas de yodo se oxida a IO₃⁻ (el número de oxidación de yodo aumenta de 0 en gas de yodo a +5 en IO₃⁻)
Reducción media reacción
I₂ → I⁻
Media reacción de oxidación
I₂ + OH⁻ → IO₃⁻ + H₂O
Paso 3
Equilibramos las medias reacciones y agregamos los respectivos electrones transferidos
Reducción media reacción
I₂ → 2I⁻
I₂ + 2e⁻ → 2I⁻
Media reacción de oxidación
I₂ + 12OH⁻ → 2IO₃⁻ + 6H₂O
I₂ + 12OH⁻ → 2IO₃⁻ + 6H₂O + 10e⁻
Paso 4
Balancee el número de electrones en las dos medias reacciones
[I₂ + 2e⁻ → 2I⁻] × 5
[I₂ + 12OH⁻ → 2IO₃⁻ + 6H₂O + 10e⁻] × 1
5I₂ + 10e⁻ → 10I⁻
I₂ + 12OH⁻ → 2IO₃⁻ + 6H₂O + 10e⁻
Paso 5
Agregue las dos medias reacciones y elimine cualquier especie que aparezca en ambos lados
5I₂ + 10e⁻ + I₂ + 12OH⁻ → 10I⁻ + 2IO₃⁻ + 6H₂O + 10e⁻
Entonces, eliminamos los 10 electrones que fueron transferidos en la reacción balanceada
6I₂ + 12OH⁻ → 10I⁻ + 2IO₃⁻ + 6H₂O
Paso 6
Reintroducimos la especie eliminada desde el principio (el ion potasio)
6I₂ + 12KOH → 10KI + 2KIO₃ + 6H₂O
Los coeficientes mínimos son entonces
3I₂ + 6KOH → 5KI + KIO₃ + 3H₂O
Luego verificamos cada una de las declaraciones proporcionadas para elegir las falsas.
- La suma de los coeficientes mínimos del agua y el agente reductor es 6.
El gas yodo es el agente reductor y oxidante. Coeficiente mínimo de agua y gas de yodo = 3 + 3 = 6 Esta afirmación es cierta.
- El KI es la forma reductora KI resulta de la semirreacción de reducción.
Por lo tanto, es la forma reducida del gas de yodo. Esta afirmación es cierta. - El KOH es el agente reductor. KOH no es el agente reductor. Esta afirmación es falsa.
- La suma de los electrones transferidos más el coeficiente mínimo de agua suman 16.
Electrones transferidos = 10
Coeficiente mínimo de agua = 3
Suma = 13 y no 16.
Esta afirmación es falsa.
- La proporción del agente oxidante y el agente reductor es 1.
Dado que el gas yodo es el agente reductor y oxidante, la proporción de estos dos es verdaderamente 1. Esta afirmación es cierta.
¡¡¡Espero que esto ayude!!!
I want to explain what 2000 feet looks like to young children so that they can imagine it in class
Answer:
maybe take a really common toy kids play with or often see, find the average height for the toy and do the math to see how many of those toys stacked ontop of eachother would make up 2000 feet. For example (this isn't accurate btw just an idea of what it would sound like but) "Have you ever seen a barbie doll? well if you stack 400 barbie dolls ontop of their head it would be equal to 2000 feet."
Explanation:
sometimes taking common or beloved objects children have into your examples makes them have a better image of how small or how big something is.
What are baselines in geodetic control networks?
Baselines in geodetic control networks are a critical component of modern surveying and mapping. Baselines are defined as the straight-line distance between two points in a geodetic survey, which is used to create a reference system for all other measurements.
The baseline is then used to calculate distances and angles between other points, which can be used to create maps and survey data. Baselines are typically measured using a variety of methods, including satellite-based Global Positioning Systems (GPS), which provide highly accurate measurements. Geodetic control networks are used for a wide range of applications, including construction, mining, land management, and environmental studies.
By providing accurate, reliable data about the earth's surface, these networks are essential for effective management of natural resources and development projects. In summary, baselines in geodetic control networks are the fundamental building blocks that allow surveyors and mapping professionals to create accurate and reliable data about the earth's surface.
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What does efficiency measure?
Answer:
Efficiency is defined as any performance that uses the fewest number of inputs to produce the greatest number of outputs. Simply put, you're efficient if you get more out of less.
Explanation:
Find the voltage gain v0/vs of the circuit given below, where R1 = 14 kΩ and R2 = 13 kΩ
Answer:
The voltage gain is 2.07.
Explanation:
Given that,
Resistance \(R_{1}=14\ k\Omega\)
Resistance \(R_{2}=13\ k\Omega\)
We need to calculate the voltage gain
Using formula of voltage source
\(V_{s}=\dfrac{V_{o}\times R_{2}}{R_{1}+R_{2}}\)
\(\dfrac{V_{o}}{V_{s}}=\dfrac{R_{1}+R_{2}}{R_{2}}\)
Where, \(R_{1}\) = first resistance
\(R_{2}\) =second resistance
\(V_{s}\) = source voltage
\(V_{o}\) = output voltage
Put the value into the formula
\(\dfrac{V_{o}}{V_{s}}=\dfrac{14+13}{13}\)
\(\dfrac{V_{o}}{V_{s}}=2.07\)
Hence, The voltage gain is 2.07
ina wants to protect a worksheet with a password to allow changes by other users in only selected elements. to do so, she can first unlock editable cells, then click review tab > protect sheet > allow all users of this worksheet to list > select the elements you want people to be able to change > ok. True or False
True: ina wants to protect a worksheet with a password to allow changes by other users in only selected elements. to do so, she can first unlock editable cells, then click review tab > protect sheet > allow all users of this worksheet to list > select the elements you want people to be able to change > ok.
The workbook's protection is distinct from the password-protected Excel file or worksheet protection. For more details, see below:
See Safeguard an Excel file for information on locking a file so that others cannot access it.
You must safeguard your worksheet if you want to keep specific portions of the data from users. See Safeguard a worksheet for further details.
See Protection and security in Excel to understand the distinctions between securing your Excel file, workbook, or worksheet.
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True. To protect a worksheet with a password and allow changes only in selected elements, Ina needs to first unlock editable cells, then go to the Review tab > Protect Sheet > Allow all users of this worksheet to list > select the elements she wants people to be able to change > OK.
To protect a worksheet with a password and allow changes only in selected elements, Ina needs to follow the steps as mentioned in the statement. First, she needs to unlock the editable cells. Then, she can go to the "Review" tab and select "Protect Sheet". In the pop-up dialog box, she can allow all users of the worksheet to make changes by selecting the appropriate option. After that, she can select the elements that people are allowed to change by checking the boxes. Once she clicks OK, the worksheet will be protected with a password and only the selected elements will be editable by other users. This way, Ina can ensure the security and integrity of her worksheet while still allowing collaborative editing.
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A 75-hp, 850 r/min, 500-V series motor has an efficiency of 90.2 percent
when operating at rated conditions. The series field has 30 turns/pole, and
the motor parameters are:
Armature
0.1414 ohms
IP + CW
0.0412 ohms
Series
0.0189 ohms
Resistance,
The motor has a maximum safe speed of 1700 r/min. Is it safe to operate the
motor with a 10-hp shaft load? Use the magnetization curve in Figure
11.16, and show all work. Neglect changes in windage and friction
It is not safe to operate the motor with a 10-hp shaft load.
Explanation :
Solution-
First, determine the rated speed and current of the motor:
Rated speed = 850 r/min
Rated current = 500 V / (0.1414 ohms + 0.0412 ohms + 0.0189 ohms) = 30.22 A
Next, determine the speed and current for a 10-hp shaft load:
Speed = 1700 r/min
Current = 10 hp / (75 hp * 0.902) = 0.1343 A
Finally, determine whether it is safe to operate the motor with the 10-hp shaft load using the magnetization curve. we can see that the current at 1700 r/min is 0.1264 A, which is less than the current for the 10-hp shaft load (0.1343 A).
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A competitive, profit-maximizing pays its workers a wage of $200 per day and it sells its output for $10 per unit. Determine the marginal product, on a daily basis of the last worker hired.
The marginal product, on a daily basis of the last worker = $2000
What is a marginal product?Marginal product = Wage of worker * Output sale amount= $200 * $10
= $2000
When one unit of an input, like labour, is added to the current mix of productive variables, the additional output that occurs is known as the marginal product of that input. The marginal product is the marginal physical productivity of an input or factor of production in economics.And especially in neoclassical and engineering economy, it is the change in output that results from using one more unit of a specific input.For example, the change in output when a firm's labour is increased from five to six units, assuming that the quantities of other inputs are kept constant. The slope of the total product curve the production function plotted against labour usage for a constant level of capital input usage represents the marginal product of labour.To learn more about engineering economy, refer:
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Consider a machine of mass 70 kg mounted to ground through an isolation system of total stiffness 30,000 N/m, with a measured damping ratio of 0.2. The machine produces a harmonic force of 450 N at 13 rad/s during steady-state operating conditions. Determine
Complete Question
Consider a machine of mass 70 kg mounted to ground through an isolation system of total stiffness 30,000 N/m, with a measured damping ratio of 0.2. The machine produces a harmonic force of 450 N at 13 rad/s during steady-state operating conditions. Determine
(a) the amplitude of motion of the machine,
(b) the phase angle of the motion,
(c) the transmissibility ratio,
(d) the maximum dynamic force transmitted to the floor, and
(e) the maximum velocity of the machine.
Answer:
a) \(X=0.0272m\)
b) \(\phi=22.5 \textdegree\)
c) \(T_r=1.57\)
d) \(F=706.5N\)
e) \(V_{max}=0.35m/s\)
Explanation:
From the question we are told that:
Mass \(M=70kg\)
Total Stiffness \(\mu=30000\)
Damping Ratio \(r=0.2\)
Force \(F=450N\)
Angular velocity \(\omega =13rad/s\)
Generally the equation for vibration in an isolated system is mathematically given by
\(\omega_n=\sqrt{\frac{k}{m}}\)
\(\omega_n=\sqrt{\frac{30000}{70}}\)
\(\omega_n=20.7rad/s\)
a)
Generally the equation for Machine Amplitude is mathematically given by
\(X=\frac{F_O/m}{(\omega_n^2-\omega^2)^2-(2*r*\omega)*\omega_n*\omega^2)^{1/2}}\)
\(X=\frac{450}{70}}{(20.7^2-(137^2)^2-(2*0,2*(20.7(13)))^2)^{1/2}\)
\(X=0.0272m\)
b)
Generally the equation for Phase Angle is mathematically given by
\(\phi=tan^{-1}\frac{2*r*\omega_n*\omega}{\omega_n^2*\omega^2}\)
\(\phi=tan^{-1}\frac{2*0.2*20.7*13}{\20.7^2*13^2}\)
\(\phi=22.5 \textdegree\)
c)
Generally the equation for transmissibility ratio is mathematically given by
\(T_r=\sqrt{\frac{1+(2r\beta)^2}{(1-r^2)^2+(2*\beta*r)^2}}\)
Where
\(\beta=Ratio\ of\ angular\ velocity\)
\(\beta=\frac{13}{20.7}\\\beta=0.638\)
Therefore
\(T_r=\sqrt{\frac{1+(2*(0.2)(0.638))^2}{(1-(0.2)^2)^2+(2*0.2*0.638)^2}}\)
\(T_r=1.57\)
d)
Generally the equation for Maximum dynamic force transmitted to the floor is mathematically given by
\(F=(T_r)*F_o\)
\(F=(1.57)*450\)
\(F=706.5N\)
e)
Generally the equation for Maximum Velocity of Machine is mathematically given by
\(V_{max}=\omega*x\)
\(V_{max}=13*0.0272\)
\(V_{max}=0.35m/s\)
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