p5.7 during a test, the four-cycle, 15.649 l (955 in3) engine in a large tractor consumes 73 l/h (19.3 gal/h) of diesel fuel while running at 2100 r/min (rpm) and producing 1160 nm (856 lb-ft) of torque. the imep during the test is 1110 kpa (161 psi). the fuel density is 0.835 kg/l (7.0 lb/gal), and its heating value is 45,434 kj/kg (19,533 btu/lb). calculate:

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Answer 1

During a test, the four-cycle FEP=1051.44 hp, IP=407.43 HP and brake power BP= 342.26 hr

Given : Displacemen Volume Vs = 955 in³

density S: 7 lbigat

ΔV = volumetric fuel consumption = 19.3 gal/h

N = 2100 pm

Ti ( Torque ) = 856 lb-it

Calorific value ( C . V ) = 19 ,533 BTU /lb

( After cut off ) 7F = 163 lb- ft .

Fuel consumption ( mf ) = δx ΔV

= 7 x 19 .3

mf = 135 . 1 lb/ br

Now Brake power :

BP = TixN/5252(hp )

B. P =

85 6X 2100/5252

= 342 . 26 hp

B . P = 342 . 26 hp

Now Fuel equivalent power

fEr :my x C . V

135. 1 ( eb / hr ) x 19, 533 ( BTU/ RD )

135. 1 X19533/60 x 41.83

FEP

= 1051.44 hp

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Related Questions

a neural network using a perceptron to distinguish between apples and oranges, based on three sensor measurements (shape, texture and weight). now you are to design a perceptron to distinguish between bananas and pineapples:

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Neural networks are a set of algorithms that simulate how an animal brain works in order to find connections among enormous amounts of data.

A neural network is a collection of algorithms that aims to identify underlying links in a set of data using a method that imitates how the human brain functions. In this context, neural networks are systems of neurons that can be either organic or synthetic in origin.

Since neural networks are capable of adapting to changing input, they can produce the best results without having to change the output criteria. The artificial intelligence-based concept of neural networks is quickly gaining popularity in the design of trading systems.

Neural networks are a set of algorithms that simulate how an animal brain works in order to find connections among enormous amounts of data.

As a result, they frequently resemble the synapses and connections between neurons in the brain.

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what type of truss is constructed of wood or metal and is generally used to support flat roofs and floor assemblies?

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The parallel chord truss is constructed of wood or metal and is generally used to support flat roofs and floor assemblies.

What is The parallel chord truss?In contrast to the majority of other timber frame trusses, a parallel chord truss is not triangular in shape. They are rectangular in shape, with intermediate components known as webs strengthening and separating the top and bottom chords (the long, straight truss parts).Although they are commonly employed as floor joists, parallel chord trusses with diagonal bracing can also be used as rafters in sloped roofs.Most frequently waterproof, felt or underlayment is also sometimes referred to as tar paper. It is sprayed on top of the decking to provide an additional layer of protection from the outdoors and water underneath the shingles.

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a 220-v-rms, 60 hz, 3-phase y-connected induction motor draws 31.87 a at a power factor of 75% lagging. for all three phases, the total stator copper losses are 400 w, and the total copper losses are 150 w. the rotational losses are 500 w

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If the rotor resistance is increased in any way, it is possible to alter the slip and speed at which the greatest torque occurs.

This may be done in the case of slip ring or wound rotor type motors, right?

via rotor circuit's addition of external resistance. When the rotor conductors are shorted-circuit, a transformer-like effect between the stator winding and the rotor winding takes place.

As a result, a powerful current flow is felt in the rotor. If the applied beginning voltage is lowered in an effort to lower this high starting current, the starting torque is also affected.

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Cognitive computing, which is also called _____ computing, aims to mimic the functioning of the human brain through greater interconnectivity among memory, processors, and communications.
a. hybrid memory
b. core
c. neurosynaptic
d. quantum
Answer: c

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Cognitive computing, which is also called neurosynaptic computing, aims to mimic the functioning of the human brain through greater interconnectivity among memory, processors, and communications.

A cognitive chip or neurosynaptic chip is a type of computer processor that works more like a biological brain than a normal CPU.

Neurosynaptic chips are designed to operate like human brains on the hardware level, in contrast to cognitive computing and neural networks, which use software to simulate human thought and learning. Even if a normal computer is effective at processing language, mathematics, and data analytics, it can be labor-intensive for it to carry out tasks that even rudimentary biological brains are proficient at. These processes, which include pattern recognition, sensory processing, and learning, are more effectively performed by a neurosynaptic device. The neurosynaptic chip has the potential to change capabilities, particularly in mobile technologies where computation and power are constrained.

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water emerges from under a gate into a trapezoidal, concrete channel. the gate opening is 0.55m, and the flow rate is 12.6 m3/s. the entry channel has a 1.5m bottom width, side slopes of 1:1 (h:v), and a bottom slope of 0.015. determine the channel and flow classification (e.g., m-1, s-2) and explain your supporting logic.

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The channels and flow classification is M-1, S-2.

M-1 stands for "Minor Stream", which is a small stream with a low amount of flow. S-2 stands for "Secondary Stream", which is a medium-sized stream with moderate flow.

Channel Classification: M-1

Flow Classification: S-2

Supporting Logic:

The channel is trapezoidal with a bottom width of 1.5m, side slopes of 1:1 (h:v), and a bottom slope of 0.015, which is considered to be a wide, shallow channel. This would classify the channel as an M-1 channel.

The flow rate of 12.6 m3/s is considered to be an S-2 flow, which is a moderate flow.

Therefore, the channel and flow classification is M-1, S-2.

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consider the loading shown. note: this is a multi-part question. once an answer is submitted, you will be unable to return to this part. identify the equation of the elastic curve for the cantilever beam ab.

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I is the section's second moment of area or moment of inertia. The following techniques can be used to determine the equation for the elastic curve of a beam.

The first and second derivatives of the function that represents the curve in terms of the Cartesian coordinates x and y are dydx and d2ydx2, respectively. Assuming that the longitudinal stresses on the fibers are within the elastic limit, the elastic curve of a beam is the curve formed by the intersection of the neutral surface with the side of the beam. The Bending Moment Equation's double integral is taken in order to perform the fundamental calculation. There are formulas for both cantilever beams and beams that are simply supported.

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the amplitude of the measurable nmr signal is reduced from 2 mvpeak-peak to 1 mvpeak- peak. how many discrete signal levels become useless when the adc has 10 bits? (use the same gain of the amplifier that is calculated in 1b).

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It can detect 1,024 (2¹⁰) discrete analog levels because the Arduino's ADC is a 10-bit ADC.

The precision of a measurement is based on resolution. The accuracy of the measurement values increases with digitizer resolution. The input amplifier's vertical range is split into 256 discrete levels by a digitizer with an 8-bit ADC. The typical vertical resolution for digital oscilloscopes is 8 bits. However, a 10-bit analog-to-digital converter (ADC) has a resolution that is four times higher than an 8-bit ADC. Signal details are much clearer to see. Calculating the Effective Number of Bits (ENOB) for an Analog-to-Digital Converter (ADC) involves solving for N, substituting the measured Signal-to-Noise Ratio plus Distortion (SINAD) value into the equation describing the Signal-to-Noise Ratio (SNR) for an ideal ADC, and then multiplying the result by the number of bits in the ADC.

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what electronic component is generally used to change the ac voltage into dc voltage in large dc motor controllers?

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SCR because it can be controlled with reference to the point in the cycle at which it will turn on.

the shear strength of each of ten test spot welds is determined, yielding the following data (psi): 392 376 401 367 389 362 409 415 358 375 a. assuming that shear strength is normally distributed, estimate the true average shear strength and standard deviation of shear strength using the method of maximum likelihood. b. again assuming a normal distribution, estimate the strength value below which 95% of all welds will have their strengths. [hint: what is the 95th percentile in terms of m and s? now use the invariance principle.] c. suppose we decide to examine another test spot weld. let x 5 shear strength of the weld. use the given data to obtain the mle of p(x

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(a) The sample mean is calculated as 382.3 psi and sample standard deviation is calculated as 19.76 psi.

(b) The 95th percentile is calculated as 414.80 psi that is below 414.80 psi, the 95% of all the welds have their strengths.

(c) There are 81.5% chances that the shear strength of the welds is less than or equal to 400 psi.

What is standard deviation?

A statistic known as the standard deviation, which is calculated as the square root of variance, gauges a dataset's dispersion from its mean. By figuring out how far off from the mean each data point is, the standard deviation can be calculated as the square root of variance.

A higher deviation exists within a data set if the data points are further from the mean; consequently, the higher the standard deviation, the more dispersed the data.

By comparing the annual rate of return of an investment to the standard deviation, a statistical measurement used in finance, one can learn more about the historical volatility of that investment.

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ipcc not incorporating the impact of climate change on hazards such as heat waves and flooding will potentially significantly underestimate the risks presented by these hazards

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The most important thing humans can do to assist nature in battling climate change is to safeguard the world's natural environments, which hold billions of tons of this "living carbon."

However, the conclusion is that regional climate changes, particularly temperature rises, are having an impact on natural systems all over the world, and that these temperature increases are very likely caused by anthropogenic emissions of greenhouse gases. By the end of this century, extreme sea level occurrences that formerly happened once every 100 years could occur annually. The loss of seasonal snow cover, glacier and ice sheet melting, and summer Arctic Sea ice will all be accelerated by further warming.

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which type of furnace can operate to produce either full heat output or produce at a fixed level that is less than full heat?

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A two-stage furnace can run at a predetermined output level that is either less than full heat or at maximum heat output.

What kinds of furnaces have AFUE ratings over 90% and are considered high efficiency?

Condensing furnaces are those that run with an AFUE of greater than 90%. This indicates that the furnace turns escaping water vapour back into energy and heat by condensing them. The furnace is therefore more effective than a noncondensing furnace.

What two factors affect the efficiency of a furnace and a boiler?

The ability of a burner to burn fuel is indicated by the boiler's combustion efficiency. The amount of unburned fuel in the exhaust and the amount of extra oxygen in the exhaust are the two factors that influence the burner efficiency.

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the farmer wants to install a well to supply water for crop irrigation. where should the well be installed to ensure that the contaminant plume never reverses direction and intersects the home water supply well?

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The distance between the well and the home's water supply well should be at least 500 to 1000 feet.

Irrigation – what is it?

The technique of artificially supplying water to crops to meet their needs is known as irrigation. Irrigation is another method of supplying nutrients to the crops. Wells, ponds, lakes, canals, tube-wells, and even dams are some of the several water sources used for irrigation. For germination, growth, and other related processes, irrigation provides the moisture needed. For different crops as well as varying based on the types of soils and seasons, irrigation frequency, pace, amount, and timing must be considered.

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what process variable is affected when the cooling tower performance has an increase in ambient temperature that causes and increase in cooling tower demands

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The process variable that is affected when the cooling tower performance has an increase in ambient temperature is lowering the efficiency of the condenser and reducing the cooling power.

The factors that is influenced performance of cooling tower are:

RangeHeat loadAmbient wet-bulb temperature or relative humidity.Approach.

The temperature difference between the hot water inlet and cold water outlet at the tower is called a range. The temperature of tower's ambient is generally  4 ° C to 6 ° C (or even higher​) less than the ambient temperature. Because of the temperature is cool, the cooling tower ready to cool the water at a temperature below ambient temperature. The impact of ambient temperature makes energy consumption increase.

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water flows past a flat plate that is oriented parallel to the flow with an upstream velocity of 0.5 m/s. determine the approxi- mate location downstream from the leading edge where the bound- ary layer becomes turbulent. what is the boundary layer thickness at this location?

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Along with a flat, smooth plate, the following variables have an impact on the thickness of the boundary layer formation: The fluid's kinematic viscosity affects the thickness of the boundary layer.

As the distance from the leading edge gets less, the boundary layer thickness gets thinner. The narrow region of flow next to a surface known as a boundary layer is the layer in which friction between the fluid and solid surface affects the flow [2]. The theory was founded on certain significant System. In some areas, the viscosity of the fluid in motion cannot be ignored. The thickness of the boundary layer at a distance from the leading edge is discovered to be 5 mm for laminar flow over a flat plate.

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Many corporations are now utilizing point of sale to collect customer data. This use of technology to realize efficiencies supports which one of Porter's value chain activities? Human resources Outbound Logistics Operations Marketing & Sales Service

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promoting and selling Which one of Porter's value chain activities is supported by this use of technology to achieve efficiencies.

Describe technology.

Technology is also the specific, repeatable use of knowledge to accomplish meaningful objectives. Technology is another name for the result of such an attempt. The use of technology is pervasive in many aspects of modern life, including science, business, communication, and transportation. Both material tools like machinery or utensils and immaterial ones like software are considered technologies. As a result of countless technological advancements, society has evolved. The stone tool, which was employed during the prehistoric age, is in fact the oldest technology that is currently known. The use of fire came next, which fueled the emergence of the Ice Age.

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determine the 0.2% offset yield strength from the stress-strain data. the sample is cylindrical with a radius of 1.25 mm.

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By building a parallel line offset from the linear stress-strain line by 0.002 strain, the 0.2% offset yield strength is computed.

Because the yield strength of steel, according to ASTM, is 0.2% permanent strain (offset). This definition serves as a good "rule of thumb" for the majority of steels and typically equates to a 0.5% total strain. The predetermined amount of permanent strain is set along the strain axis of the graph, to the right of the origin, in order to determine yield strength. Figure 5 designates it as Point. Point (D) is crossed by a straight line that has the same slope as the first part of the stress-strain curve.

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Entrapment and transfer of hear from the sun to a building without use of machinery
passive solar system

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Solar system that is active. a device that stores solar energy as heat energy and transports it somewhere else through mechanical means.

What is a system that stores solar energy as heat energy and uses machinery to transport it?Solar system that is active. a device that stores solar energy as heat energy and transports it somewhere else through mechanical means.Renewable energy is created by natural processes that are constantly renewed.This includes the sun, geothermal heat, wind, tides, water, and other biomasses. This energy is endlessly replenished.The term "renewable" is typically used to describe energy sources and technological advancements that share the trait of being naturally replenishable or non-depletable.  

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Which statement about the filtering result of the following ACL is true?
Router(config-ext-nacl)# permit tcp 192.168.1.0 0.0.0.255 host 192.168.100.1 eq 80
Router(config-ext-nacl)# deny tcp any host 192.168.100.1 eq 80

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If you want to prevent traffic from entering the internal server network, use the command ip access-list 6 deny 192.168.1.00.0.0.255.

How does the router's ACL filter work?A set of rules known as a "Access Control List" (ACL) governs how any traffic passing through routers is allowed, permitted, or denied. By filtering and managing the traffic flow between routers, it functions at layer 3 to ensure security.According to the source IP address, destination IP address, and port numbers, packet filtering occurs in the Extended access list. Services will either be allowed or blocked according to an extended access list. From 100 to 199, and 2000 to 2699, are the extended ACL ranges that are produced.If you want to prevent traffic from entering the internal server network, use the command ip access-list 6 deny 192.168.1.00.0.0.255.            

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It's the law. Under New York law, you can get a citation for riding your bike while listening to music using headphones or earbuds in both ears. It is lawful, however, to listen to music with only one earbud keeping the other ear free.
Sensory deprivation. One of the main ways that people alert each other to danger on the road is through sound. Whether it's honking, yelling or ringing a bicycle bell, you're less likely to hear any of these warnings if you're listening to music putting you at higher risk of an accident.
Decreased attention. The more stimuli you have to contend with, the more difficult it is to dedicate your full attention to one particular task. If you get caught up in a song or story you're listening to while cycling, it can increase your distractibility which could have disastrous consequences.
The majority of cycling-related accidents involve a cyclist and a motor vehicle. Not surprisingly, the injuries a cyclist suffers in such collisions tend to be disproportionately serious and often fatal. Therefore, if you're cycling in traffic, foregoing the headphones can prove to be a life-saving decision.

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Answer:s

Explanation:s

It's the law. Under New York law, you can get a citation for riding your bike while listening to music using headphones or earbuds in both ears. It is lawful, however, to listen to music with only one earbud keeping the other ear free.

Sensory deprivation. One of the main ways that people alert each other to danger on the road is through sound. Whether it's honking, yelling or ringing a bicycle bell, you're less likely to hear any of these warnings if you're listening to music putting you at higher risk of an accident.

Decreased attention. The more stimuli you have to contend with, the more difficult it is to dedicate your full attention to one particular task. If you get caught up in a song or story you're listening to while cycling, it can increase your distractibility which could have disastrous consequences.

The majority of cycling-related accidents involve a cyclist and a motor vehicle. Not surprisingly, the injuries a cyclist suffers in such collisions tend to be disproportionately serious and often fatal. Therefore, if you're cycling in traffic, foregoing the headphones can prove to be a life-saving decision.

two samples are generally sufficient to compare questioned photocopier, printer or fax machine documents to obtain a sufficient representation of a machine's characteristicsTrue or False

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Two samples are generally sufficient to compare questioned photocopier, printer or fax machine documents to obtain a sufficient representation of a machine's characteristics is False.

What are the machine's characteristics?

A machine is made up of an engine, which provides the power, and a transmission, which regulates how this power is used. Power, the result of combining force and motion, is a crucial aspect of a machine.

A machine is a physical system that use power to exert forces, regulate movement, and carry out an action. The phrase is frequently used to describe both natural biological macromolecules, such as molecular machines, and manmade devices, such as those using engines or motors.

Digitizing is the process of scanning an image and turning it into a collection of digital intensity values, or "picture elements," that are then stored in memory.

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technician a says that a transaxle first-gear ratio of 3.5:1 means input torque is increased by 3.5 times. technician b says that a transaxle first-gear ratio of 3.5:1 means input speed is increased by 3.5 times. which technician is correct?

Answers

The technician A is right. When the transaxle's first gear is 3.5:1, the input torque is multiplied by 3.5. The output torque is thus 3.5 times greater than the input torque. The first-gear ratio of the transaxle has no impact on the input speed.

What is a torque?

The force that can force an object to spin along an axis is measured as torque. In linear kinematics, force is what drives an object's acceleration. Similar to this, an angular acceleration is brought on by torque. As a result, torque can be thought of as the rotational counterpart to force.

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technician a says that viscosity index improvers thicken oil when it becomes hot and thins it when it becomes cold. technician b says that viscosity index improvers thin oil when it's hot and thicken it when it's cold. who is correct?

Answers

Technician a is correct that he says Oil is thickened by viscosity index improvers when it is hot and thinned when it is cold.

The viscosity index (VI) is an arbitrary, unitless measurement of how much a fluid's viscosity changes as a function of temperature. It is mostly used to describe the behavior of lubricating lubricants' viscosity-temperature relationship. The more the viscosity is impacted by temperature variations, the lower the VI. The viscosity index is a way to quantify how viscosity changes in response to temperature changes. The viscosity index, to put it simply, indicates how well a fluid can maintain its viscosity throughout temperature fluctuations. An arbitrary scale known as the viscosity index is used to assess how quickly viscosity changes as temperature rises. The rate of viscosity change as a result of temperature change is measured by a lubricant's viscosity index (VI).

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Which of the following is shared among threads? Select all that apply. file descriptors registers stack memory virtual address space

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Every thread have its own stack, register, and PC, so only address space that is shared by all thread for a single process.

Why threads are important?The use of threads has a number of advantages. A thread is more effective. For a new thread, the operating system does not need to construct a new memory map (as it does for a process). In order to monitor the status of open files and increase reference counts on open file descriptors, it is not necessary to allocate new structures.Additionally, threading makes some programming styles simple. Although it is true that shared memory among threads increases the risk of problems, shared memory also makes it simple to communicate data among threads. All threads in a process can read from and write to the same global and static variables.

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how can the elevation of an intermediate turning point be calculated from the usual note format of differential levels?

Answers

By deducting the foresight rod reading from the instrument's height, the elevation is computed. The elevation reading of a site with unknown elevation is called a foresight.

How do you calculate elevation using differential leveling?

If you are aware of A's elevation (E(A)), you can use the formula BS - FS + E to get B's elevation (E(B)) (A).

However, the instrument's height or the elevation of the line of sight directed from the level is determined by BS + E(A) = HI.

By deducting the foresight rod reading from the instrument's height, the elevation is computed. The elevation reading of a site with unknown elevation is called a foresight.

An intermediate location between benchmarks known as a turning point (T.P.) offers a temporary point of known elevation for a level circuit between two benchmarks that are far apart.

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ote: this is a multi-part question. once an answer is submitted, you will be unable to return to this part.consider the given figure. knowing that the radius of each pulley is 200 mm, p

Answers

The calculated torque is 91.55 KN-mm. Yes, the radius of the pulley has an effect on the belt tensions.

For a given frictional torque at the axle, the tension difference between the pull side and the load side is smaller because a larger radius produces a greater moment.

Each pulley's radius is 50 mm;

R1 = R2 = 50 mm.

R1 = 50 mm for the driver's radius

50mm for the radius of the driven,

1800 for the angle of contact (in radians), and

0.3 for the coefficient of friction. T1 = 3KN of permissible stresses Always, T1 is bigger than T2.

Utilizing the formula T1/T2 = e After adding together all the values,

T2 = 1.169KN and 3/T2 = e(0.3)().

Because both pulleys' radiuses are the same, they both experience the same amount of torque (T1–T2). R1

= (T1–T2) (T1–T2). R2

When we add up everything,

(3 - 1.169) X 50

= 91.55 KN-mm.

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sediment transported on top of a glacier is being transported , whereas sediment being transported within the glacier is being transported

Answers

Supraglacially - Sediment is transported on top of the glacier. Subglacially - Sediment is transported at the base of the glacier.

How do glaciers move sediments?Deformed glacier beds can also move a lot of sediment, especially in marginal areas. By regelation into subglacial materials and by freeze-on from rising supercooled waters, rapid sediment entrainment that results in thick debris-rich basal zones is possible.Similar to a river, water running down the glacier's base carries and deposits detritus. The movement of a meltwater stream beneath the ice creates an esker, which is a sinuous ridge comprised of sediment.Through the process of erosion, sediment is transferred from one location to another. The removal and transportation of rock or soil is erosion. Sediment can be transported by erosion through water, ice, or wind. Water can carry debris from a creek, like gravel or stones, into a body of water.

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Briefly explain how each of the following influences the tensile modulus of a semicrystalline polymer and why: (a) molecular weight (b) degree of crystallinity (c) deformation by drawing (d) annealing of an undeformed material (e) annealing of a drawn material

Answers

The molecular weight Increases, degree of crystallinity Decreases, deformation by drawing Increases, annealing of an undeformed material Increases, annealing of a drawn material Increases.

Molecular Weight: As the polymer's molecular weight rises, it does as well. Degree of crystallinity: As the degree of crystallinity of a semi-crystalline polymer grows, so does its tensile strength. Drawing-induced deformation: Drawing-induced deformation of a polymer results in a finely oriented chain structure, and the increased secondary interchain bonding structure increases the polymer's tensile strength. The tensile strength of the material also increases as a result of annealing an undeformed substance.

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The following tabulated data were gathered from a series of Charpy impact tests on a tempered 4340 steel alloy. Temperature (°C) 0 25 50 75 100 113 125 150 175 200 Impact Energy (J) 105 104 103 97 63 40 34 28 25 24 (a) Plot the data as impact energy versus temperature. (Hint: use engineering paper for the graph) (b) Determine a ductile-to-brittle transition temperature as the temperature corresponding to the average of the maximum and minimum impact energies. (c) Determine a ductile-to-brittle transition temperature as the temperature at which the impact energy is 50J

Answers

To establish the temperature at which the transition from ductile to brittle occurs as being 80J. Another answer is 65 J.

To calculate the transition temperature from deductile to brittle that corresponds to the average of the maximum and least impact energy.

Standard = 124J + 6J / 2 = 65J

According to this criterion, the ductile-to-brittle transition temperature is approximately -105°C, as seen on the plot by the single set of dashed lines.

to establish the temperature at which the transition from ductile to brittle occurs as being 80J.

Additionally, the ductile-to-brittle transition temperature for an impact energy of 80 J is approximately -95°C, as shown on the plot by the other set of dashed lines.

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identify the number returned by the dequeue operation on the following priority queue. array containing 7 elements: 21, 36, 45, 54, 60, 73, 90. group of answer choices 54 36 21 90

Answers

90 is the number returned by the dequeue operation on the priority queue.

What is meant by priority queue with example?The highest number in a queue with priorities arranged in descending order is given the highest priority. The priority queue, for instance, has six numbers in it:21, 36, 45, 54, 60, 73, 90. . Ascending order is the first order in which you should organize these numbers. According to the updated list:90,73,60,54,45,36.In contrast to a standard queue or stack data structure, a priority queue is an abstract data type in which each element also has a priority assigned to it. In a priority queue, a high-priority element receives service before a low-priority element.90 is the number returned by the dequeue operation on the priority queue.

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use the myhill-nerode theorem to prove that the languages in exercise 1.29 (a and c), page 88 and problem 1.46 (b and c) page 90, are not regular. Aa. A1 = {01" 2" | n >0} b. 12 = {www w€ {a,b}*} Ac. Az = {a?" | n >0} (Here, a?" means a means a string of 2" a's.)

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A string, often known as a word, is a limited collection of an alphabet's symbols.

Instances of strings over the letters "a, b" include "b, a" and "aabab," whereas "0, 10" and "001" are examples of strings over the letters "0, 1." A language is a collection of words written in an alphabet. As a result, (b + ab)* can be used to represent a string before the aa. Therefore, if a language string contains aa, the regular expression (b + ab) applies. *aa(b + ba)* The requirement is that every string created by the regular expression must have at least two a's, but there is no restriction on the quantity or placement of b's and c's. Therefore, (a+b+c)*. (a+b+c)*.

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