A tail recursive function is a function where the last operation performed is a recursive call. We can use an auxiliary function with an accumulator and a list of trees to iterate through the tree, summing up the values of all the nodes.
What is a tail recursive function and how can it be used to sum the values of a tree?
A tail recursive function is a type of function where the last operation performed is a recursive call. In this case, we want to write a tail recursive function called "sumtailrec" that will take a tree as input and return the sum of all the node values in the tree.
To do this, we can use an auxiliary function of type "int -> tree list -> int". This auxiliary function will take an accumulator (initialized to 0) and a list of trees as input. It will then iterate through the list of trees, adding the values of each node to the accumulator. If the tree has any children, it will add those children to the end of the list.
Here is the code for the "sumtailrec" function:
```
let sumtailrec tree =
let rec aux acc = function
| [] -> acc
| Node(value, children)::tl ->
let new_acc = acc + value in
let new_children = List.rev_append children tl in
aux new_acc new_children
in aux 0 [tree]
```
In this code, we start by defining the "aux" function that takes an accumulator and a list of trees as input. We then use pattern matching to handle two cases: if the list is empty, we return the accumulator; if the list contains a node, we add the node's value to the accumulator, add any children to the end of the list, and recursively call the "aux" function with the new accumulator and updated list of trees.
Finally, we call the "aux" function with an initial accumulator of 0 and a list containing just the input tree. This will recursively traverse the tree and sum up all the node values.
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Can space debris take out a whole state
Anew student in your class has something different about his appearance. No one wants to sit beside him. You step forward and decide to sit next to him and make him feel comfortable and welcoming. This is an example of:
Answer:
approaching a lady or a man
Hammer welding preceded resistance welding
True
False
Answer:false
Explanation:
Bc
How should backing plates, struts, levers, and other metal brake parts be cleaned?
Answer: Cleaning of mechanical parts is necessary to remove contaminants, and to avoid clogging of wastes which could restrict the functioning of the machine.
Explanation:
There are different agents used for cleaning different machine instruments to prevent their corrosion and experience proper cleaning.
Backing plates must be dry cleaned using a cotton cloth to remove the dirt, dust or any other dry contaminant.
Struts can be wet cleaned by applying alcoholic solvent.
Levers can be cleaned using a mineral spirit.
Metallic plates can be cleaned using water based solution or water.
This is the reflex response that occurs when electrical current passes through the human body.
SVect the best option.
Answer:
Electric shock
Explanation:
hope this helps
p.s. the next question is Flexible
On a day in which the local atmospheric pressure is 99.5 kPa, answer each of the following: (a) Calculate the column height of mercury in a mercury barometer in units of meters, feet, and inches. (b) Francis is concerned about mercury poisoning, so he builds a water barometer to replace the mercury barometer. Calculate the column height of water in the water barometer in units of meters, feet, and inches. (c) Explain why a water barometer is not very practical. (d) Ignoring the practicality issue, which of the two (mercury or water) would be more precise
Answer:
C . . . . . . . . . . . . . . . . . . . . . .
(a) The column height of mercury in a mercury barometer is 7.32 meters, or 24.0 feet, or 95.2 inches.
What is the column height?(b) The column height of water in a water barometer is 995 meters, or 3268 feet, or 33.9 feet.
(c) A water barometer is not very practical because it would need to be very tall to measure atmospheric pressure.
(d) Ignoring the practicality issue, a mercury barometer would be more precise because mercury is denser than water.
Mercury barometer: 7.32 m, 24 ft, 95.2 in
Water barometer: 995 m, 3268 ft, 33.9 ft
Water barometer not practical because it would be too tall
Mercury barometer more precise because mercury is denser
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A heat engine that rejects waste heat to a sink at 510 R has a thermal efficiency of 25 percent and a second-law efficiency of 50 percent. Determine the temperature of the source that supplies heat to this engine.
Answer:
The correct answer is "1020 K".
Explanation:
The given values:
\(n_{th} = 0,25\)
\(n_2=0.50\)
Now,
⇒ \(n_{th}(rev) = \frac{n_{th}}{n_2}\)
By putting the values, we get
\(=\frac{0.25}{0.50}\)
\(=0.50\)
As we know,
⇒ \(n_{th} (rev)=1-\frac{TL}{TH}\)
or,
⇒ \(TH=\frac{TL}{1-n_{th} (rev)}\)
\(=\frac{510}{1-0.50}\)
\(=\frac{510}{0.5}\)
\(=1020 \ K\)
Define the Economics which are related with consumption, and name the data required to prepare the cost estimate.
Economics related to consumption is also known as consumer economics, which is concerned with the ways in which households allocate their resources, including time and money, in the satisfaction of their wants and needs.
This branch of economics deals with the problems of resource allocation among consumers with limited resources. It attempts to provide an understanding of the consumer’s decision-making process when choosing between different goods and services. The data required to prepare the cost estimate are as follows:
1. Price data: The price data is the cost of inputs and other resources required to produce the product or service that is being analyzed.2. Historical data: This data is used to determine past trends and patterns that may help in forecasting future demand and costs.
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You are an architect invited to present the preliminary drawings to the structural team in order to brainstorm possible column locations on the first floor of a skyscraper. The meeting has been scheduled at the engineers’ office and five people will be present: you, your intern, the senior engineer, the structural engineer, and a mechanical engineer. What type of media would you use to present your drawing? Please justify your answer with your reasons and the outcomes you expect from the meeting.
Answer:
Explanation:I will bring the drawing of the skyscraper on my laptop, which will be equipped with a CAD software package. I will use an adaptor to project the drawings to a screen. The reasons I chose this is because CAD enables me to make the drawing efficiently and accurately. The software package will help avoid human error. Another advantage is that I can use layers to add new columns to the drawing so that I will not lose the original drawing. After I add the columns, we can view the structure in a three-dimensional view so that the structural engineer can check the location and dimensions of the column. The main advantage of CAD in this setting is that I can make immediate changes in the drawing, without having to change the entire drawing. This would not be possible if I used a paper-based presentation. Because I have my laptop at the meeting, I can also take notes about important points that arise during the meeting on a word processing program. I will be able to link the electronic document to the CAD file for further reference.
At the end of the meeting, I will be able to complete my drawings for the first floor of the skyscraper. The structural engineer can immediately approve the drawings and the mechanical engineer can then begin the preparation to start the build. The built-in features of the CAD software package enable the efficiency of this process.
Answer:
C
Explanation:
in some expensive cookware, the pot is made of copper but the handle is made of stainless steel. T/F?
Answer: False
Explanation:
The given statement "In some expensive cookware, the pot is made of copper but the handle is made of stainless steel" is True because, in some expensive cookware, the pot is made of copper while the handle is made of stainless steel.
Copper is an excellent conductor of heat and provides even heat distribution, making it a popular choice for cookware. However, copper is a reactive metal and can react with acidic foods, causing a metallic taste and discoloration. To avoid this, cookware manufacturers use a non-reactive material such as stainless steel for the handles, which is durable and does not react with food.
Stainless steel also provides a good grip and stays cool to the touch even when the pot is heated. The combination of copper and stainless steel in cookware provides the best of both worlds – excellent heat distribution and a durable, non-reactive handle. This type of cookware is often more expensive due to the use of high-quality materials and craftsmanship.
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Tidal turbines convert the energy of a flowing tide to generate electricity. Early designs of these machines commonly had their rotor attached to a supporting tower mounted on the seabed – see for example Figure QC2.1. A representation of a tide-driven flow of water past a tidal turbine is sketched in Figure QC2.2. An expansion of the flow from d1 to d2 is imagined to occur over the rotor, with half of the expansion (in area) happening upstream of the rotor, and half downstream.
(a) Explain why the active part of the inflow (the streamtube shown in Figure
QC2.2) expands its cross-section as it passes the turbine. (2)
Analysis for the analogous situation of a wind turbine with uniform inflow, attributed to Albert Betz and others in the 1920s, demonstrated that for optimum efficiency of energy extraction from the inflow, the far upstream flow speed should be reduced by the turbine such that the far downstream speed is 1/3rd of the far upstream speed.
(b) Suggest three reasons why this theoretical maximum efficiency will in general
not be achieved in a practical tidal turbine deployment. (3)
(c) The Alstom 1.4 MW OceadeTM turbine has a rotor diameter of 18 m. The
supporting tower has a height of 15 m and a diameter of 3 m. In a 3 ms-1 tidal
flow, estimate the total fluid loading experienced by the whole machine. State
and justify the assumptions that you make in arriving at this estimate. (12)
(d) How would you expect to use these estimates of forces when designing the
turbine and tower structure?
(a) The active part of the inflow expands its cross-section as it passes the tidal turbine due to conservation of mass and energy.
(b) Several reasons contribute to the theoretical maximum efficiency not being achieved in practical tidal turbine deployments, including turbulence, non-uniform flow, and mechanical losses.
(c) Estimating the total fluid loading on the Alstom 1.4 MW OceadeTM turbine requires considering the flow velocity, rotor and tower dimensions, and making assumptions about the flow characteristics and structural properties.
(d) The estimates of forces obtained from the fluid loading calculations are essential for designing the turbine and tower structure by ensuring that they can withstand the anticipated loads and stresses.
(a) The active part of the inflow expands its cross-section as it passes the tidal turbine due to the principle of conservation of mass and energy. As the tidal flow encounters the turbine rotor, some of the kinetic energy of the flow is converted into mechanical energy to drive the turbine. To satisfy the conservation of mass, the cross-sectional area of the flow must increase to compensate for the reduction in flow velocity caused by energy extraction.
(b) Achieving the theoretical maximum efficiency in practical tidal turbine deployments is challenging due to several reasons. First, tidal flows are often characterized by turbulence, which disrupts the uniformity of the flow and reduces overall efficiency. Second, tidal flow itself is not uniformly distributed, and the flow characteristics vary with tidal cycles, further impacting efficiency. Lastly, mechanical losses in the turbine's components, such as friction and resistance, reduce the efficiency of energy conversion.
(c) Estimating the total fluid loading on the Alstom 1.4 MW OceadeTM turbine involves considering the flow velocity, rotor diameter, and tower dimensions. Assuming a tidal flow velocity of 3 m/s, the fluid loading can be estimated by considering the momentum change and forces acting on the rotor and tower surfaces. Assumptions may include a simplified flow model, neglecting factors such as turbulence and non-uniform flow, and assuming a stationary tower. These assumptions simplify the calculation while providing a reasonable estimate of the fluid loading.
(d) The estimates of forces obtained from the fluid loading calculations are crucial for designing the turbine and tower structure. These estimates help engineers determine the required structural strength, material selection, and design considerations to ensure that the turbine and tower can withstand the anticipated fluid forces and mechanical stresses. By considering the estimated forces, designers can optimize the structural integrity, stability, and reliability of the turbine and tower, ensuring safe and efficient operation in tidal environments.
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A(n) ____ combines two planetary gearsets to provide more gear ratio possibilities. A)compound planetary gearset B)orifice C)detent D)lock-up torque converter
Answer:
The answer is A. Compound Planetary Gearset.
Explanation:
The Compound Planetary Gear block represents a planetary gear train with composite planet gears. Each composite planet gear is a pair of rigidly connected and longitudinally arranged gears of different radii. One of the two gears engages the centrally located sun gear while the other engages the outer ring gear.
Compound planetary gear sets have at least two planet gears attached in line to the same shaft, rotating and orbiting at the same speed while meshing with different gears. Compounded planets can have different tooth numbers, as can the gears they mesh with.
if you were responding on a concurrent vi-30 seconds with a 3-second cod, and you switched back and forth form one schedule to the other very 1. 5 seconds (that is, left, right, left, etc. ), reinforcement would occur: on the average, every 30 seconds and 15 responses on the average, every 30 seconds and 30 responses on the average, every 15 responses never
A concurrent schedule is made up of two or more separate schedules that are presented at the same time and lead to different reinforcers.
Parallel schedule A reinforcement process where the participant can select their response from one of two or more accessible simple reinforcement schedules at once. The assessment of choice between straightforward schedule alternatives is possible with concurrent schedules.
The reinforcement schedules that are in place when two or more behaviors are reinforced simultaneously on various schedules. An illustration would be watching TV while on the phone and browsing the internet.
Two stimuli are pitted against one another in a concurrent schedule of reinforcer assessment to see which will result in a larger increase in responding when presented as a reward for responding. The reinforcer with more responses is the more potent one.
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Please indicate which part the work is under
a. The power factor is 0989
b. The average power from the source is 2.125 kW
What is power factor?Power factor is the ratio of the real power absorbed by the load to the apparent power.
a. What is the power factor.
To find the power factor, we nedd to find the equivalent impedance of the circuit.
First, the the 8Ω resistor and -j6 Ω capacitor impedance are in series, their equivalent impedance is Z₁ = 8 Ω+ (- j6) Ω = (8 - j6)Ω.
Now, Z₁ is parallel to the Z₂ = j4 Ω impedance.
So, their equivalent inpedance is
Z₃ = Z₁Z₂/(Z₁ + Z₂)
= (8 - j6)j4 Ω/(8 - j6 + j4)
= (32 - j24)/(8 - j2)
Rationalizing the denominator, we have that
= (32 - j24)/(8 - j2) × (8 + j2)/(8 + j2)
= [32 × 8 + 32 × j2 - j24 × 8 + (-j42 × -j2)]/(8² + 2)²
= [256 + j64 - 192j + j²84)]/(8² + 2²)
= [256 + j64 - 192j - 84)]/(64 + 4)
= (172 - j128)/68
= (43 - j32)/17
Since the 10 Ω resistor is in series with Z₃, the equivalent impedance is
Z₄ = 10 Ω + (43 - j32)/17 Ω
= (10 + 43/17 - j32/17 )Ω
= (170 + 43)/17 - j32/17
= 213/17 - j32/17
We know that for an impedance Z = a + jb , tanФ = b/a
So, for Z₄, tanФ = b/a
= -32/17 ÷ 213/17
= -32/213
since the trigonometric identity
tan²Ф + 1 = sec²Ф
secФ = ±√(tan²Ф + 1)
So, substituting tanФ into the equation, we have that
secФ = ±√(tan²Ф + 1)
secФ = ±√[(-32/213)² + 1)
= ±√[(1024 + 45369)/45369)]
= ±√[46393/45369)]
= ±215.39/213
Now, the power factor P.F = cosФ
Since secФ = 1/cosФ
cosФ = ±213/215.39
= ±0.989
Since tanФ is negative, Ф is in the fourth quadrant.
So, cosФ = 0.989
So, the power factor is 0989
b. The average power
The average power P = I²R where
I = rms current and R = resistive part of impedanceNow, I = V/Z₄ where
V = rms voltage = 165 ∠ 0° and Z₄ = impedanceWe know that for an impedance Z = a + jb , tanФ = b/a
So, for Z₄ = , tanФ = b/a
= -32/17 ÷ 213/17
= -32/213
Ф = tan⁻¹(-32/213)
= -8.544
Also, the magnitude of impedance, Z = √(a² + b²)
So, the magnitude of Z = √[(213/17)² + (-32/17)²]
= √[(213)² + (-32)²]/17
= √[45369 + 1024]/17
= 215.39/17
= 12.67
So, Z = 12.67 ∠-8.544
So, the current I = V/Z
= 165 ∠ 0°/ 12.67 ∠-8.544
= 165/12.67 ∠ 0°- (-8.544)
= 13.02 ∠ 8.544° A
So, the average power P = I²R where
I = current = 13.02 A and R = resistive part of impedance = 213/17 Ωso, P = (13.02 A)² × 213/17 Ω
= 169.60 A² × 213/17 Ω
= 36123.754/17 A²Ω
= 2124.93 W
= 2.125 kW
The average power is 2.125 kW
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saan nag tungo si Aguinaldo at ilang pinuno ng kilusan pagkatapos mapairal ang kasunduan na pansamantalang nag dulot ng kapayapaan
Answer:
sa china po
Explanation:
sana makatulong ako
There is a proposal to replace the entire system with a single generator that has a reliability as good or better than the current one-year reliability. 6. What would be the required MTBF (in hours) for the new generator (assume exponential and 8760 hours/year)? 7. How many total test hours should be allocated for the new generator (assuming 1 failure is allowed) at 50% confidence? 8. Suppose the budget only supported 30,000 total test hours for the new generator. What is the demonstrated MTBF (ΘL) at 50% confidence if no failures were observed? Was the requirement demonstrated? Consider the original system diagram with Generator B as continuously operating (not in standby mode) with no load sharing. 9. What is the static relaibility of the system for this situation? 10. Convert the block diagram to a Fault Tree. Calculate the probability of the top-level event (system failure)?
The required MTBF (in hours) for the new generator (assuming exponential and 8760 hours/year) will be 8760 hours.
7. Total test hours should be allocated for the new generator (assuming 1 failure is allowed) at 50% confidence should be 688 hours.
8. The demonstrated MTBF (ΘL) at 50% confidence if no failures were observed will be 43,800 hours. Yes, the requirement was demonstrated.
9. The static reliability of the system for this situation can be determined by calculating the probability of no failure. The probability of no failure will be 0.85 * 0.95 * 0.98 * 0.99 = 0.764. Therefore, the static reliability of the system for this situation will be 0.764.10.
Probability of the top-level event (system failure) can be calculated by adding the probabilities of all the paths leading to the top-level event. The probability of the top-level event (system failure) will be:
P(system failure) = P(Gen A failure) + P(Gen B failure) + P(Gen C failure) + P(Tie Bus failure) * P(No load shedding) + P(Tie Bus failure) * P(Load shedding)
P(Gen A failure) = 1 - e^(-8760/30000) = 0.215
P(Gen B failure) = 0.85 * (1 - e^(-8760/18000)) = 0.37
P(Gen C failure) = 0.95 * (1 - e^(-8760/30000)) = 0.276
P(Tie Bus failure) = 0.98
P(No load shedding) = 0.99
P(Load shedding) = 0.01
P(system failure) = 0.215 + 0.37 + 0.276 + 0.98 * 0.99 + 0.98 * 0.01 * (1 - P(Gen A failure)) * (1 - P(Gen B failure)) * (1 - P(Gen C failure)) * P(Tie Bus failure)P(system failure) = 0.215 + 0.37 + 0.276 + 0.98 * 0.99 + 0.98 * 0.01 * (1 - 0.215) * (1 - 0.37) * (1 - 0.276) * 0.98P(system failure) = 0.9644
Therefore, the probability of the top-level event (system failure) will be 0.9644.
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Identify the prefixes used in the International System of
Units (SI)
Meaning
Prefix
Meaning
Prefix
1/1,000,000
1,000,000
1/1,000
1,000
1/100
100
1/10
10
nce
Answer:
i need points 425677
Explanation:
yurrrrrr awnser C
The space between two square flat parallel plate is filled with oil. Each side of
the plate is 600mm. The thickness of the oil films is 12.5mm. The upper
plate, which moves at 2.5m /s, requires a force of 98.1 N to maintain the
speed. Determine
I.The dynamic viscosity of the oil in poise.
Ii.The kinematic viscosity of the oil in strokes if the specific gravity of the oil
is 0.95
The dynamic viscosity of the oil in poise is 13.625 pois
The kinematic viscosity of the oil in strokes is 14.34
How to solve for the dynamic viscosityF viscous is given as n* ΔFr / Δy
where n = F * Δy / A * ΔVn
We have to define the terms of the formula
Δy = 12.5 x 10⁻³
ΔVr = 2.5m /s
A = 60 x 60 cm² = 0.36m
F = 98.1 n
We have to put the values in the formula
98.1 n * 12.5 x 10⁻³ / 0.36m * 2.5m /s
n = 1.3625 ns / m²
The kinematic viscosity of the oil in strokes if the specific gravity of the oil is 0.95
y = n / e
n = 1.3625
e = 0.95 x 10³
y = 1.3625 / 0.95 x 10³
= 1.434 x 10⁻³
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where is the most accurate reading in analogue multimeter is taken
Answer:
The most accurate reading for an analog meter is a pointer position between 2/3 of full scale and full scale. Typically, dc voltage measurements use the full count capability of the ADC, since signal conditioning is rather straight forward: it uses resistive dividers and filters.
casting of molten metal is important in many industrial processes. centrifugal casting is used for manufacturing pipes, bearings, and many other structures. a cylindrical enclosure is rotated rapidly and steadily about a horizontal axis, as in the figure below. molten metal is poured into the rotating cylinder and then cooled, forming the finished product. turning the cylinder at a high rotation rate forces the solidifying metal strongly to the outside. any bubbles are displaced toward the axis so that unwanted voids will not be present in the casting. suppose that a copper sleeve of inner radius 2.20 cm and outer radius 2.30 cm is to be cast. to eliminate bubbles and give high structural integrity, the centripetal acceleration of each bit of metal should be 119g. what rate of rotation is required? state the answer in revolutions per minute.
The rotation rate required to cast the copper sleeve is 92.2 revolutions per minute.
The speed of the required rotation of a cylinder in centrifugal casting is given. What is centrifugal casting? Centrifugal casting is the process of producing parts by pouring molten metal into a cylindrical mould rotating about a horizontal or vertical axis.
This can be achieved using two different methods, depending on the axis of rotation: horizontal or vertical. The horizontal method is commonly used for casting pipes, as well as many other structures, and is often referred to as spinning.In order to eliminate bubbles and provide high structural stability, each bit of metal must be subjected to a centripetal acceleration of 119g.
We must determine the necessary rotation rate to achieve this acceleration. The formula for calculating centripetal acceleration is as follows: a = v^2/r. Where a is the centripetal acceleration, v is the velocity of the particle, and r is the distance from the particle to the axis of rotation.
We can use this formula to solve for the rotation rate (in RPM) as follows: \(v^{2}\) = arv = \(\sqrt{ar}\) The rotational velocity required to produce a centripetal acceleration of 119g can be calculated by substituting a = 119g, r = 2.25 cm (the average radius of the sleeve), and g = 9.81 m/s2 (the acceleration due to gravity) into the formula:v = \(\sqrt{(119g * 0.0225 m)}\) = 25.9 m/s
Now that we have the velocity required for the centripetal acceleration, we must convert it to RPM. We can do so using the formula:v = rω where ω is the angular velocity. ω = v/r = 25.9 m/s / 0.0225 m = 1151.1 rad/s The rotational speed in RPM can now be calculated by dividing the angular velocity by 2π and converting it to minutes: rpm = 1151.1 rad/s / 2π rad/rev / 60 s/min = 92.2 RPM. Therefore, the answer is 92.2 revolutions per minute.
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PLEASE HELP I NEED THIS ASP!!
Answer:
up up down down
Explanation:
left right left right b a select start
where are sensors located on a vehicle equipped with side sonar system?
The sensors for a side sonar system are typically located on the sides of the vehicle, usually near the bottom. These sensors use sound waves to detect obstacles and provide the driver with a warning.
The side sonar system is designed to detect objects on the sides of the vehicle, and can provide visual and/or audible alerts to the driver if an object is detected in the blind spot.
Overall, the placement of the sensors may vary depending on the make and model of the vehicle, but they are usually located in areas that provide optimal coverage for detecting objects.
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A hollow shaft of diameter ratio 3/8 (internal dia to outer dia) is to transmit 375 kW power at 100 rpm. The maximum torque being 20% greater than the mean torque. The shear stress is not to exceed 60 N/mm2 and twist in a length of 4m not to exceed 2o. Calculate its external and internal diameters which would satisfy both the above conditions. (G= 0.85 X 105 N/mm2)
Answer:
External diameter = 158.15 mm mm
Internal diameter = 59.31 mm
Explanation:
We are given;
Diameter ratio; d_i = ⅜d_o
Where d_i is internal diameter and d_o is external diameter
Power;P = 375 KW = 375000 W
Rotational speed;N = 100 rpm
Max torque is 20% greater than mean torque; T_max = 1.2T_avg
Shear stress;τ = 60 N/mm²
Length; L = 4m = 4000 mm
Angle of twist; θ = 2° = 2π/180 radians
Modulus of rigidity;G = 0.85 X 10^(5) N/mm²
Formula for the power transmitted by the shaft is;
P = 2πNT_avg/60
Plugging in the relevant values, we have ;
375000 = 2π × 100T_avg/60
T_avg = (375000 × 60)/(2π × 100) = 35809.862 N.m = 35809862 N.mm
Since T_max = 1.20T_avg
Thus, T_max = 1.20(35809862) = 42971834.4 N.mm
Checking for strength, we'll use;
τ = Tr/J_p
Or since r = d/2
It can be written as;
τ = T(d_o)/2J_p - - - (1)
Where T is T_max
But Polar moment of inertia of hollow shaft is;
J_p = [π(d_o)⁴ - π(d_i)⁴]/32
Now, we are told that d_i = ⅜d_o
Thus;
J_p = [π(d_o)⁴ - π(⅜d_o)⁴]/32
J_p = (π/32) × d_o⁴(1 - 3⁴/8⁴)
J_p = 0.0926 d_o⁴
Plugging this for J_p in eq 1,we have;
τ = T(d_o)/2(0.0926d_o⁴)
Making d_o the subject gives;
d_o³ = T/(2 × 0.0926τ)
Plugging in the relevant values to give;
d_o³ = 42971834.4/(2 × 0.0926 × 60)
d_o³ = 3867155.7235421166
d_o = ∛3867155.7235421166
d_o = 156.96 mm
Thus, d_i = ⅜ × 156.96 = 58.86 mm
Checking for stiffness, we'll use;
T/J_p = Gθ/L
Again T is T_max
Plugging in the relevant values, we have;
42971834.4/0.0926 d_o⁴ = (0.85 × 10^(5) × 2π/180)/4000
464058686.825054/d_o⁴ = 0.7417649321
d_o⁴ = 464058686.825054/0.7417649321
d_o⁴ = 625614216.5028806
d_o = ∜625614216.5028806
d_o = 158.15 mm
d_i = ⅜ × 158.15 = 59.31 mm
So we will pick the highest valies.
Thus;
d_o = 158.15 mm
d_i = 59.31 mm
what should a level 1 technician do when they are unable to solve an issue
When a level 1 technician is unable to solve an issue, they should escalate the problem to a higher level of support or a more experienced technician for further assistance.
Level 1 technicians typically handle basic technical issues and provide initial troubleshooting and support. However, there are cases where they may encounter complex or challenging problems that go beyond their expertise. In such situations, it is important for the level 1 technician to recognize their limitations and escalate the issue to a higher level of support. This can involve seeking assistance from a more experienced technician, a specialized team, or a supervisor. By escalating the problem, the level 1 technician ensures that the issue is addressed by someone with the necessary skills and knowledge to effectively resolve it. This helps prevent prolonged downtime, minimizes potential mistakes, and ensures the problem is handled by the appropriate resources, ultimately leading to a more efficient and effective resolution.
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assume that the kvcu antenna is a half-wave transmitting antenna (oriented vertically with respect to the ground). how tall should it be?
To determine the height of a half-wave transmitting antenna like the KVCU antenna, we need to calculate the wavelength and then divide it by two.
The formula to calculate the wavelength is:
Wavelength = Speed of Light / Frequency
Assuming we know the frequency at which the antenna operates, we can substitute the values into the formula to find the wavelength.
For example, if the frequency is 100 MHz (100,000,000 Hz), and the speed of light is approximately 3 x 10^8 meters per second, the calculation would be:
Wavelength = (3 x 10^8) / (100 x 10^6) = 3 meters
Once we have the wavelength, we divide it by two to determine the height of the half-wave antenna:
Height = Wavelength / 2 = 3 meters / 2 = 1.5 meters
Therefore, for a half-wave transmitting antenna like the KVCU antenna, it should have a height of approximately 1.5 meters when oriented vertically with respect to the ground.
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Describe the differences between case hardening and through hardening, insofar as engineering applications of metals are concerned.
Answer:
The answer is below
Explanation:
Case hardening is a form of steel hardening that is applied on mild steel with a high temperature of heat.
It results in material forming a hard surface membrane, while the inner layer is soft.
It is mostly used for universal joints, construction cranes, machine tools, etc.
On the other hand, Through hardening is a form of steel hardening in engineering that involves heat treatment of carbon steel.
It increases the hardness and brittleness of the material.
It is often used for axles, blades, nuts and bolts, nails, etc.
La Patrulla Fronteriza de los Estados Unidos analiza la compra de un helicóptero nuevo para la vigilancia aérea de la frontera de Nuevo México y Texas con la República Mexicana. Hace 4 años se adquirió un helicóptero similar con un costo de $ 140,000.00. con una tasa de interés de 7% anual. Calcula el factor de pago único y el factor valor presente con los datos anteriores con la tabla y fórmula. Dibuja el diagrama de flujo.
Answer:
The Border Patrol of the United States analyzes the purchase of a new helicopter for the aerial surveillance of the border of New Mexico and Texas with the Mexican Republic. 4 years ago a similar helicopter was purchased at a cost of $ 140,000.00. with an interest rate of 7% per year. Calculate the single payment factor and the present value factor with the above data with the table and formula. Draw the flow chart.
Explanation:
A cylindrical bar of metal having a diameter of 20.5 mm and a length of 201 mm is deformed elastically in tension with a force of 46300 N. Given that the elastic modulus and Poisson's ratio of the metal are 60.5 GPa and 0.33, respectively, determine the following: (a) The amount by which this specimen will elongate in the direction of the applied stress. (b) The change in diameter of the specimen. Indicate an increase in diameter with a positive number and a decrease with a negative number.
Answer:
a) The amount by which this specimen will elongate in the direction of the applied stress is 0.466 mm
b) The change in diameter of the specimen is - 0.015 mm
Explanation:
Given the data in the question;
(a) The amount by which this specimen will elongate in the direction of the applied stress.
First we find the area of the cross section of the specimen
A = \(\frac{\pi }{4}\) d²
our given diameter is 20.5 mm so we substitute
A = \(\frac{\pi }{4}\) ( 20.5 mm )²
A = 330.06 mm²
Next, we find the change in length of the specimen using young's modulus formula
E = σ/∈
E = P/A × L/ΔL
ΔL = PL/AE
P is force ( 46300 N), L is length ( 201 mm ), A is area ( 330.06 mm² ) and E is elastic modulus (60.5 GPa) = 60.5 × 10⁹ N/m² = 60500 N/mm²
so we substitute
ΔL = (46300 N × 201 mm) / ( 330.06 mm² × 60500 N/mm² )
ΔL = 0.466 mm
Therefore, The amount by which this specimen will elongate in the direction of the applied stress is 0.466 mm
(b) The change in diameter of the specimen. Indicate an increase in diameter with a positive number and a decrease with a negative number.
Using the following relation for Poisson ratio
μ = - Δd/d / ΔL/L
given that Poisson's ratio of the metal is 0.33
so we substitute
0.33 = - Δd/20.5 / 0.466/201
0.33 = - Δd201 / 20.5 × 0.466
0.33 = - Δd201 / 9.143
0.33 × 9.143 = - Δd201
3.01719 = -Δd201
Δd = 3.01719 / - 201
Δd = - 0.015 mm
Therefore, The change in diameter of the specimen is - 0.015 mm
Hey guys can anyone list chemical engineering advancement that has been discovered within the past 20 years
What is computer programming
Answer:
Computer programming is where you learn and see how computers work. People do this for a living as a job, if you get really good at it you will soon be able to program/ create a computer.
Explanation:
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