A coder F, used to record in digital form the rotation of shaft A, is connected to the shaft by means of the gear train shown, which consists of four gears and three solid steel shafts each of diameter d. Two of the gears have a radius r and the other two a radius nr. The rotation of the coder F is prevented. Determine the angle through which end A rotates when T = 5.2 lb·in., l = 2.4 in., d = 1/16 in., G= 11.2 ×106 psi, and n = 2
Answers
We can apply the torque transmission equation to a gear train. The angle through which end A rotates is 0.045 radians.
How to calculate angle through which end A rotates?
To solve this problem, we can use the equation for the torque transmitted through a gear train:
T = (P₁-P₂) * (r₂/r₁) * (r₄/r₃) * (1/n)
where:
T is the torque transmitted through the gear train
P₁ and P₂ are the power input and output, respectively
r₁ and r₂ are the radii of the first gear and second gear, respectively
r₃ and r₄ are the radii of the third gear and fourth gear, respectively
n is the gear train efficiency
Since the rotation of coder F is prevented, we can assume that P₂ = 0. We can also assume that the gears are all in contact and transmitting torque.
Solving for the angle of rotation, θ, we get:
θ = T * l / (G * π * d^4 / 32 * n * (r₂/r₁) * (r₄/r₃))
Plugging in the given values, we get:
θ = 5.2 lb·in. * 2.4 in. / (11.2 ×106 psi * π * (1/16 in.)^4 / 32 * 2 * (nr/r)^2)
θ = 0.045 radians
Therefore, the angle through which end A rotates is 0.045 radians.
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Related Questions
(a) At a simple interest rate of 12% per year, determine how long it will take $5000 to increase to twice as much. (b) Compare the time it will take to double if the rate is 20% per year simple interest.
Answers
Explanation:
10000=5000(1.12^x)
2=1.12^x
(log_1.12)(2)=x
x= about 6.1163
10000=5000(1.2^x)
2=1.2^x
(log_1.2)(2)=x
x= about 3.8019
compare them by saying like 20% will be 6.12/3.8 times faster
why does my man bun not have its own erodynamics
Answers
Answer:
umm okay for starters I have no clue lol.
what is aerodynamics????
The steepest, stable, slope angle possible in unconsolidated, granular materials like sand and gravel is called the angle of retention repose slope stability
Answers
The steepest, stable, slope angle possible in unconsolidated, granular materials like sand and gravel is called the angle of repose. This angle of repose is the angle at which a material can maintain a stable slope without sliding.
The angle of repose can differ depending on the type of granular material in question and other environmental factors. For example, dry sand usually has an angle of repose between 34 and 35 degrees, while wet sand has an angle of repose between 30 and 34 degrees.In addition to providing information on slope stability, the angle of repose is also used in industries such as mining and agriculture to determine the maximum angle at which materials can be safely piled or stored without collapsing or spilling.
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Q. How are you informed of what to do in the event of an on-site emergency?
Answers
Answer:
I don't know
Explanation:
sorry I am answering this for points
please follow and mark as brainliest for me I will also do same
Answer:
Adapting this case to a work environment, especifically an industry, there should be a security and health brigade in charge of response against emergencies within the organization. Said brigade has the duty of giving direction to all people that could be hurt in any way by a negative event caused by the emergency These directions are given orally in the case of emergencies. Also, emergency services personnel, such as police, firefighters, and paramedics, are certified professionals who have the responsibility of protecting people against harm, and this includes giving guidance during emergencies.
The oxygen consumption of an activated sludge plant is 60 g O2/L.d for the degradation of
carbon compounds. In addition, 50 % of this quantity is required for the nitrification. How many
percent of the nitrogen inflow load of 10 g N/L.d are oxidized with a specific oxygen
consumption of 4.6 g O2/g N?
Answers
Answer:
sorry di ko alam
Explanation:
️♀️️♀️
An electrical engineer at GRIDCO is given two separate toolboxes to keep his working tools. The first toolbox has 4 white fuses and 3 black fuses and the second toolbox has 3 white fuses and 5 black fuses. Suppose the engineer select a fuse from the first toolbox and placed unseen in the second toolbox. What is the probability that: (a) the fuse drawn from the second toolbox is black? (B) the fuse drawn from the second toolbox is white? (8) ane is white?
Answers
(a) The probability of drawing a black fuse from the second toolbox is 4/7.
(b) The probability of drawing a white fuse from the second toolbox is 3/7.
(c) The probability that one fuse is white is 27/49.
To calculate the probabilities, we need to consider the number of white and black fuses in each toolbox.
First, let's determine the total number of fuses in each toolbox:
First Toolbox:
Total fuses = 4 white fuses + 3 black fuses = 7 fuses
Second Toolbox:
Total fuses = 3 white fuses + 5 black fuses = 8 fuses
(a) The probability that the fuse drawn from the second toolbox is black:
The probability of drawing a black fuse from the second toolbox depends on the fuse selected from the first toolbox. There are two scenarios to consider:
Scenario 1: The fuse selected from the first toolbox is black.
In this case, the second toolbox will have 3 black fuses remaining out of the total 7 fuses.
Probability = (Number of black fuses in the second toolbox)/(Total number of fuses in the second toolbox)
Probability = 3/7
Scenario 2: The fuse selected from the first toolbox is white.
In this case, the second toolbox will have 5 black fuses out of the total 7 fuses.
Probability = (Number of black fuses in the second toolbox)/(Total number of fuses in the second toolbox)
Probability = 5/7
To calculate the overall probability, we need to consider the probability of each scenario and weigh it by the probability of selecting a fuse of that color from the first toolbox. Since the fuse from the first toolbox has an equal chance of being white or black, we need to take an average of the probabilities in both scenarios.
Probability of drawing a black fuse from the second toolbox = (Probability of scenario 1 + Probability of scenario 2)/2
Probability of drawing a black fuse from the second toolbox = (3/7 + 5/7)/2
Probability of drawing a black fuse from the second toolbox = 8/14
Probability of drawing a black fuse from the second toolbox = 4/7
Therefore, the probability of drawing a black fuse from the second toolbox is 4/7.
(b) The probability that the fuse drawn from the second toolbox is white:
Similarly, we can calculate the probability of drawing a white fuse from the second toolbox. It will be the complement of the probability of drawing a black fuse.
Probability of drawing a white fuse from the second toolbox = 1 - Probability of drawing a black fuse from the second toolbox
Probability of drawing a white fuse from the second toolbox = 1 - 4/7
Probability of drawing a white fuse from the second toolbox = 3/7
Therefore, the probability of drawing a white fuse from the second toolbox is 3/7.
(c) The probability that one is white:
To calculate the probability that one fuse is white, we need to consider both scenarios: either the fuse drawn from the first toolbox is white and the fuse drawn from the second toolbox is black, or the fuse drawn from the first toolbox is black and the fuse drawn from the second toolbox is white.
Scenario 1: Fuse drawn from the first toolbox is white, and the second toolbox has a black fuse:
Probability = (Probability of drawing a white fuse from the first toolbox) * (Probability of drawing a black fuse from the second toolbox)
Probability = (3/7) * (5/7)
Scenario 2: Fuse drawn from the first toolbox is black, and the second toolbox has a white fuse:
Probability = (Probability of drawing a black fuse from the first toolbox) * (Probability of drawing a white fuse from the second toolbox)
Probability = (4/7) * (3/7)
To calculate the overall probability, we need to sum up the probabilities of both scenarios:
Probability that one fuse is white = Probability
of scenario 1 + Probability of scenario 2
Probability that one fuse is white = (3/7) * (5/7) + (4/7) * (3/7)
Probability that one fuse is white = 15/49 + 12/49
Probability that one fuse is white = 27/49
Therefore, the probability that one fuse is white is 27/49.
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Consider the following incomplete code segment. Consider the following potential replacements for /* missing code */ . Which of these replacements will cause the code segment to always print false ? Assume that Math is imported correctly into our program. (int)(Math.random() * 10) + 20
(int)(Math.random() * 10) + 25
(int)(Math.random() * 10) + 30
(int)(Math.random() + 30)
Answers
That Math is imported correctly into our program is (int)(Math. Random() * 10) + 10
What is code segment?An object file or the corresponding area of the virtual address space of the program that includes executable instructions is referred to as a code segment in computing, often known as a text segment or simply as text. Exons are the segments that code, and introns are the portions that do not.This specifies a region of memory where the instruction codes are kept. Another fixed region, this one. Data values are provided to computer functions and procedures via the stack, which is a piece of code.The only distinction I can think of between code and data segment/code segment directives" is that when using code segment, segments must be closed, whereas. code does not.To learn more about code segment refer to:
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Which of the following is an example of a tax
Answers
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:
Problem 3. A mixture of 50 mol% Methanol (1) and 50 mol% water (2) at 25∘C and 101.325kPa pressure are fed into a flash tank at 80∘C and the same pressure. A mixture of vapor and liquid forms. 3a. 15 pts. Assuming Raoult's Law holds, determine the composition of the vapor and liquid phases, and the fraction of vapor and liquid that exit the flash tank.
Answers
According to the information we can infer that the composition of the vapor phase is 50 mol% Methanol and 50 mol% water, while the composition of the liquid phase is also 50 mol% Methanol and 50 mol% water. The fraction of vapor and liquid that exit the flash tank depends on the temperature and pressure conditions and can be determined using the equilibrium relationship.
How to determine the composition of the vapor and liquid phases?According to Raoult's Law, the partial pressure of a component in a mixture is proportional to its mole fraction. In this case, since the initial mixture is 50 mol% Methanol and 50 mol% water, the partial pressures of Methanol and water in the mixture will be equal to their mole fractions.
Additionally, we have to consider that the mixture is fed into the flash tank at 80∘C and the same pressure (101.325 kPa), we can determine the composition of the vapor and liquid phases using the equilibrium relationship.
By comparing the equilibrium data, we can find that the vapor and liquid phases will have the same composition as the initial mixture of 50 mol% Methanol and 50 mol% water.
According to the information, we can conclude that the composition of the vapor phase and the liquid phase will both be 50 mol% Methanol and 50 mol% water. The fraction of vapor and liquid that exit the flash tank will depend on the equilibrium conditions, and without additional information, we cannot determine the exact fractions.
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is released from under a vertical gate into a 2-mwide lined rectangular channel. The gate opening is 50 cm, and the flow rate into the channel is 10 m3/s. The channel is lined with reinforced concrete and has aManning roughness coefficient of 0.015, a horizontal slope, and merges with a river where the depth of flow is 3.5 m. Does a hydraulic jump occur in the lined channel
Answers
Answer:
hello your question is incomplete attached below is the complete question
answer: There is a hydraulic jump
Explanation:
First we have to calculate the depth of flow downstream of the gate
y1 = \(C_{c} y_{g}\) ----------- ( 1 )
Cc ( concentration coefficient ) = 0.61 ( assumed )
Yg ( depth of gate opening ) = 0.5
hence equation 1 becomes
y1 = 0.61 * 0.5 = 0.305 m
calculate the flow per unit width q
q = Q / b ----------- ( 2 )
Q = 10 m^3 /s
b = 2 m
hence equation 2 becomes
q = 10 / 2 = 5 m^2/s
next calculate the depth before hydraulic jump y2 by using the hydraulic equation
answer : where y1 < y2 hence a hydraulic jump occurs in the lined channel
attached below is the remaining part of the solution
where on a pallet should you ensure its scale weight is clearly marked?
Answers
Answer: on two sides (one on either 88-inch side and one on either 108-inch side)
Explanation: Ensure the scaled weight is clearly marked on two sides (one on either 88-inch side and one on either 108-inch side) of the 463L pallet. Pallet weight markings (Figure D-7) may be stapled to the net.
The scale weight of a pallet should be clearly marked on the side of the pallet. A pallet is a flat transport structure that is designed to support goods while they are being lifted by a forklift, pallet jack, or other jacking device.
The goods are usually placed on top of a pallet and secured with strapping, stretch wrap, or shrink wrap to keep them from falling during transportation. The scale weight of a pallet should be clearly marked on the side of the pallet. The purpose of marking the weight is to avoid overweighting the pallet, which can result in serious injury to workers or damage to the goods. The scale weight of a pallet should be clearly marked on the side of the pallet, to avoid overweighting the pallet, which can result in serious injury to workers or damage to the goods.
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Identify an object in your house that contains a physical system and list three questions you could use to define the system
Answers
Answer:
ALL CAREFULLY ANSWERED CORRECTLY
Explanation:
1) A loaf of Bread PHYSICAL SYSTEM
✓ How can the environment affect the edibility of the bread
✓ What are the constituents that makes up the bread
✓ What process is involved in these constituents mixing to form the loaf.
2) The law of thermodynamics makes us to understand that when heat/energy passes through a system, the systems internal energy changes with respect to the conservation of energy law. That is energy lost = energy gained. Typically, ice would melt in a cup of hot tea because of the thermal energy in the molecules of the hot tea. When you heat a material, you are adding thermal kinetic energy to its molecules and usually raising its temperature. The temperature of the ice raises due to the kinetic energy added to it and it melts to water.
3) The theory of systems view the world as a complex system of interconnected parts. If we consider the society; (financial systems, political systems, etc) we will agree that they individually have their own components and it's the summation of this components that makes the system, this implies that system thinking could be applicable in this kinda of systems as long as they are made up of components.
4) Technology has boosted every sector of our lives and it has the capacity to do more. Restricting it's importance to entertainment alone would be an underusing of its potentials. Engineering students infact should not need any drive to be encouraged about maximizing all it can do in shaping our world.
5) ~ Nature shows its splendid soul
~Never ceases to leave us in amazement
~And we are in love
An object that contains a physical system is a T.V. remote control. Three questions that contain physical systems are:
Is air a physical system?What steps are taken to combine these ingredients to create the loaf?How might the environment impact the bread's palatability?What is a physical system?Sensors, motors, and robots are examples of physical systems. The use of the TV remote controls, traffic lights, security systems, air conditioning systems, and automatic doors are just a few examples given. We give explanations for why we employ physical systems.
A physical system is made up of components or elements that when put together display behavior that its component parts alone do not. (Biological systems and living systems are included in this definition.) The two components of physical systems are matter and energy.
Therefore, a TV remote control is an item that houses a physical system. Three questions are:
Is the air a system of matter? How are these ingredients mixed together to make the loaf? How may the flavor of the bread be affected by the surroundings?To learn more about the physical system, refer to the link:
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Energy- Rich produces two products, A and B, which have profits of $9 and $7, respectively. Each unit of product must be processed on two assembly lines, where the required production times are as follows:
Product Hours/Unit
Line 1 Line 2
A
12
4
B
4
8
Total hours 60
40
a. Formulate a linear programming model to determine the optimal product mix that will maximize profit.
(8
points)
b. Solve this model by using graphical analysis
(12 points)
Answers
The maximum profit of $180 is obtained by producing 20 units of product A and 0 units of product B.
a. Linear Programming Model:
Let us assume that x and y be the units of A and B, respectively, that are produced. Then, the linear programming model can be formulated as:
Maximize Z = 9x + 7y,
Subject to:2x + 4y ≤ 40(Assembly Line 1)4x + 8y ≤ 60(Assembly Line 2)x ≥ 0, y ≥ 0b.
Graphical Analysis:
Given below is the graph of the constraints for the given problem, To find out the solution graphically, we need to look at the vertices of the feasible region, and then choose the one that will maximize our objective function.
The coordinates of the vertices of the feasible region are,(0, 10), (6, 7.5), (15, 5), and (20, 0).
By substituting these values in the objective function, we get the following results:
(0, 10): Z = 7 × 10 = 70(6, 7.5): Z = 9 × 6 + 7 × 7.5 = 94.5(15, 5): Z = 9 × 15 + 7 × 5 = 150(20, 0): Z = 9 × 20 = 180
Hence, the maximum profit of $180 is obtained by producing 20 units of product A and 0 units of product B.
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A 2.4-in diameter soap bubble is to be enlarged by blowing air into it. Taking the surface tension of solution to be 0.0027 ⁄, determine the work input (in ∙ ) required to inflate the bubble to a diameter of 2.7- in.
Answers
The work input required to inflate the bubble to a diameter of 2.7- in is 9.12 x 10⁻⁷.
What is work done?When an object is moved over a specific distance by an external force, the quantity of energy delivered to it is known as work.
Change in surface area
4π [2.7² - 2.4]
4π [7.29 -5.76]
19.22 m² = 19.22 x 0.083 = 0.132
Work done = surface tension x change into area
T x 2A
0.0027 x 2 x 0.132 lbf
0.00071 lbt. H
0.0007 x 0.00128 Bt
9.12 x 10⁻⁷
Therefore, the work input required to inflate the bubble to a diameter of 2.7- in is 9.12 x 10⁻⁷.
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Define hermetic compressor
Answers
Answer:
Hermetic compressors are ideal for small refrigeration systems, where continuous maintenance cannot be ensured.
Wire gages in an automobile generally range from gage 0 to gage ____.
A.
24
B.
18
C.
20
D.
30
Answers
Answer:
18 gauge
Explanation:
Standard automotive primary wire is 18 gauge. (internet search) Hope this helps
Give me source code of Simple openGL project. ( without 3D or Animation) simple just.
Answers
Answer:
Use GitHub or stackoverflow for this answer
Explanation:
It helps with programming a lot
When a heater is turned on, the fuse wire repeatedly gets burnt even after changing the same fuse wire with the same length and width, the wire keeps getting burnt. Which of the following is advisable?
Answers
First, because a current greater than its capacity is being flowed through, the fuse burns out repeatedly. Now,. I and R have an inverse relationship (current). The fuse wire's length and current rating are independent. Fuse wire is capable of carrying electricity over any distance, but thickness—which regulates melting—is crucial.
Why does fuse wire burn?All of the circuit's current flows through a metal ribbon that is inside the fuse. If too much current flows through the ribbon—which is sized to fit the gauge of the circuit wire—it melts through or "blows," and the circuit is destroyed.(ii) The fuse wire's length and current rating are independent. Fuse wire is capable of carrying electricity over any distance, but thickness—which regulates melting—is crucial.If the current is too high, the element heats up to a greater temperature, melts immediately, or melts a soldered junction inside the fuse, opening the circuit and cutting off the current. Therefore, it is irrelevant how long the fuse wire is.To learn more about Fuse wire refer to:
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state the parallelogram law of forces
Answers
Answer:
The law of parallelogram of forces states that if two vectors acting on a particle at the same time be represented in magnitude and direction by the two adjacent sides of a parallelogram drawn from a point their resultant vector is represented in magnitude and direction by the diagonal of the parallelogram drawn from .
the common∙ emitter amplifier has . voltage gain, current gain, and power gain current gain and power gain, but no voltage gain current gain and voltage gain, but no power gain voltage gain and power gain, but no current gain
Answers
The common-emitter amplifier is current gain and voltage gain, but no power gain. The correct option is 2).
What is a common-emitter amplifier?By inverting, a common emitter amplifier operates. The input impedance is low. It has a high output impedance despite having a low input impedance.
When it serves as a current buffer, the common base circuit operates at its peak efficiency. It has the capacity to accept a low input impedance input current and transfer almost the same current to a greater output impedance.
Therefore, the correct option is 2) current gain and voltage gain, but no power gain.
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The question is incomplete. Your most probably complete question is given below:
1) current gain and power gain, but no voltage gain 2) current gain and voltage gain, but no power gain 3) voltage gain, current gain, and power gain 4) voltage gain and power gain, but no current gain.
States with the GDL have experienced a reduction in traffic violations and accidents.
Responses
True
False
Answers
Traffic infractions and accidents have decreased in states that have the GDL. Yes False responses are more. five points added to the answer sketch of a report flag.
What is accident explain?
The number of accidents and moving violations has decreased in states that have the GDL. +. for the answers True False. 5 points added for the answer. Underlined report flag
Accidents are unanticipated occurrences that are often sudden in character and include harm, loss, or injury. Every year, a sizable number of people worldwide suffer lasting injury or impairment as a result of accidents, which are a common part of the human experience. Damage to or loss of property is a common occurrence in accidents.
You might be able to find out if a person's name was listed as having been involved in an accident recently if you call the police station where they are located.
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the mechanics and thermodynamics of continua solutions pdf
Answers
A unified account of continuum mechanics and thermodynamics is presented in The Mechanics and Thermodynamics of Continua,
which emphasizes the universality of the fundamental balances and the entropy imbalance. These rules are thought of as the fundamental pillars upon which theories of material behavior are built.
What does the book Continuum Mechanics aim to accomplish?
The topics of continuum mechanics and thermodynamics are presented in this book in a clear and comprehensive manner. It can be used as a thorough reference guide for people looking for the correct equation for a particular problem or phenomenon, as well as for theoretical research on the subject.
What is the thermodynamical model of viscoelastic malleable solids?
It is entirely Eulerian to formulate the thermochemical model of elasticity deformable solids at finite strains. moreover, the impact of thermal expansion or buoyancy brought on by changing mass.
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The monthly output of a certain product is Q(x)=2500x 5/2
where x is the capital investment in millions of dollars. Find dQ/dx, which can be used to estimate the effect on the output if an additional capital investment of $1 million is made. dQ/dx=
Answers
The monthly output of a certain product can be given by the function
\(`Q(x) = 2500x^(5/2)`\)
where x is the capital investment in millions of dollars.
differentiate the function Q(x) with respect to x.
\(dQ/dx = d/dx(2500x^(5/2))\)
Using the power rule of differentiation, we have:
\(dQ/dx = (5/2) * 2500 * x^(5/2 - 1)dQ/dx
= 6250x^(3/2) `dQ/dx
= 6250x^(3/2)`\)
which gives us the effect on the output if an additional capital investment of $1 million is made.
Note: To estimate the effect on the output if an additional capital investment of $1 million is made, we substitute x with x+1 in the expression for `dQ/dx`. This gives us the new output and the increase in output due to the additional investment.
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Answer every question of this quiz
Please note: you can answer each question only once.
Which number shows the intake valve?
OK
Answers
I'd say number 4, number 3 looks like an exhaust valve
5) Calculate the LMC wal thickness of a pipe and tubing with OD as 35 + .05 and ID as 25 + .05 A) 4.95 B) 5.05 C) 10 D) 15.025
Answers
Answer:
LMC wall thickness= 5.05
Explanation:
Given:
Minimum inner diameter = 25 - 0.05 = 24.95
Maximum outer diameter = 35 + 0.05 = 35.05
Find:
LMC wall thickness
Computation:
LMC wall thickness = (maximum outer diameter - minimum inner diameter) / 2
LMC wall thickness = (35.05 - 24.95) / 2
LMC wall thickness= 5.05
3. to be eligible to work with the swim team, an employee must have at least two years of experience or have completed cpr training. in cell k3 enter a formula using the if and or functions and structured references as follows to determine if tiffany adams can work with the swim team:
Answers
Tiffany adams can work with the swim team:IF(OR(K2>=2,K4="Yes"),"Yes","No") .
What is the swim ?Swimming is an activity enjoyed by people of all ages and abilities. It is a great form of exercise that provides a low-impact, full-body workout. It can help improve cardiovascular health, as well as build strength and endurance. Plus, it can be a great way to have fun and relax. Swimming is a lifetime sport that can be enjoyed by people of all ages, from infants to seniors. It is a great way to stay fit and healthy, while also providing a fun, social activity. Swimming can be done in a variety of forms, such as freestyle, breaststroke, butterfly, and backstroke.
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Members AB and BC of the truss shown are made of the same alloy. It is known that a 20-mm-square bar of the same alloy was tested to failure and that an ultimate load of 120 kN was recorded. If a factor of safety of 3.2 is to be achieved for both bars, determine the required cross-sectional area of (a) bar 1.4m AB, (b) bar AC.
Answers
The required cross-sectional area of both bars AB and AC is 125000 mm^2.
How did we get the value?To determine the required cross-sectional area of bars AB and AC, we need to calculate the maximum load that each bar can withstand with a factor of safety of 3.2, and then use the maximum load to calculate the cross-sectional area.
First, let's consider bar AB. We can analyze the forces acting on the truss to find the maximum load on bar AB. Since the truss is in static equilibrium, the sum of the forces in the x and y directions must be zero. In the y direction, we have:
F_AB + F_BC = W
where F_AB and F_BC are the forces acting on bars AB and BC, respectively, and W is the weight acting downwards at the joint C. Since the truss is symmetric, we can assume that F_AB = F_BC.
Therefore,
F_AB = W/2 = (1000 kg)(9.81 m/s^2)/2 = 4905 N
To find the maximum load that bar AB can withstand with a factor of safety of 3.2, we can use the formula:
maximum load = ultimate load / factor of safety
maximum load = 120 kN / 3.2 = 37.5 kN = 37500 N
Now we can use the maximum load to calculate the required cross-sectional area of bar AB:
maximum stress = maximum load / cross-sectional area
From the stress-strain curve of the alloy, we can assume that the ultimate stress is equal to the yield stress, since the bar will deform plastically beyond the yield stress. Let's assume that the yield stress of the alloy is 300 MPa.
maximum stress = 37500 N / cross-sectional area <= 300 MPa
cross-sectional area >= 37500 N / 300 MPa = 0.125 m^2
Therefore, the required cross-sectional area of bar AB is:
cross-sectional area = 0.125 m^2 = 125000 mm^2
For bar AC, we can repeat the same analysis to find the maximum load and then the required cross-sectional area. Since bar AC is inclined at an angle of 45 degrees, we need to resolve the forces into components in the x and y directions. We have:
F_AC = W/sin(45) = (1000 kg)(9.81 m/s^2)/sin(45) = 6945 N
maximum load = 120 kN / 3.2 = 37.5 kN = 37500 N
maximum stress = 37500 N / cross-sectional area <= 300 MPa
cross-sectional area >= 37500 N / 300 MPa = 0.125 m^2
Therefore, the required cross-sectional area of bar AC is:
cross-sectional area = 0.125 m^2 = 125000 mm^2
So the required cross-sectional area of both bars AB and AC is 125000 mm^2.
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For welding the most important reason to use jigs and fixtures in a welding shop is to
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Answer:
Reduce manufacturing costs.
Explanation:
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what does a submarine do when the air in its huge air tanks is decompressed?
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The more the gas is compressed, the less volume it takes up at a given pressure. There is a direct correlation between volume and temperature.
Many everyday facts allow you to observe this behaviour of gases, such as the fact that the volume of trapped air in a syringe decreases with pressure when you press down on the plunger while covering the exit hole. Boyle's law for ideal gases, which states that PV = constant and that P is inversely linked to volume, can also be used to demonstrate this. The average density will drop, making the submarine float since the volume of the tanks and the submarine isn't changing (stay constant) and the object's mass (the submarine with tanks) is decreasing (due to the discharge of a significant amount of air).
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Help please help please
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The specific gravity of each of the tabularized items are given as attached.
What is the explanation for the above response?To determine the specific gravity, we need to compare the density of each material to the density of water (which is 62.4 lb/ft^3). The specific gravity is defined as the ratio of the density of the material to the density of water.
Therefore, the specific gravity of Gold is 19.36, the specific gravity of Platinum is 21.47, the specific gravity of Silver is 10.48, the specific gravity of Sand is 1.52, the specific gravity of Freshly fallen snow is 0.50, the specific gravity of Tar is 1.19, the specific gravity of Hard Rubber is 1.00, and the specific gravity of Water is 1.00.
Note that Specific gravity is the ratio of the density of a substance to the density of a reference substance, typically water at a specified temperature and pressure. It is a dimensionless quantity that helps determine the buoyancy of a substance.
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