a 30-station transfer line has an ideal cycle time of 0.75 min, an average downtime of 6.0 min per line stop occurrence, and a station failure frequency of 0.01 for all stations. determine the current line efficiency and produc

Answers

Answer 1

The current line efficiency is 29.41% and production rate is 23.52pc/hr

What is efficiency?

Efficiency is the capacity to avoid wasting materials, energy, efforts, money, and time when performing something or getting a desired outcome. In a broader sense, it is the ability to execute things properly, successfully, and efficiently. According to Deborah Stone, efficiency is "therefore not a goal in and of itself." It is something we want not for its own sake, but because it allows us to obtain more of the things we value.

Given data is,

ideal cycle Time = 0.75 min

Failure frequency of 0.01 for all Stations.

Average downtime = 6min

a). Frequency of line stops is,

F=np (i)

Where,

n = Work Stations

P = frequency of Station breakdown

∴n=30, P=0.01

⇒ F = 30 (0.01) = 0.3

Finding coefficient of line efficiency (E):

Formula, E = Tc/Tp×100%

where, Tc= cycle time

            Tp=Average production time

∴ Tp= Tc+FTd

⇒Tp = 0.75+(0.3)(6)

        = 2.55min/pc

Line efficiency(E)= (0.75/2.55)×100%

                         E= 29.41%

Production rate(Rp):

Rp= 1/Tp

Rp= 1/2.55

   =0.392 (pc/min).(min/1hr)

   =0.392×60pc/hr

   = 23.52pc/hr

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Related Questions

4-bit synchronous counter. note that the output of a previous flip- flop, anded with the count enable line, is tied into both the j and k inputs of the next flip-flop. why is this?

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4-bit synchronous - The output of a previous flip-flop is tied into both the J and K inputs of the next flip-flop because this ensures that the output of the previous flip-flop will be the same as the input to the next flip-flop. This is necessary in order to

What is 4-bit synchronous?
A 4-bit Synchronous Up Counter starts counting from 0 (0000 in binary), increases or counts up to 15, and then resets to begin a new counting cycle. This counter operates at a significantly higher frequency than an Asynchronous Counter of the same range. Additionally, there is no propagation delay inside the synchronous counter simply because all flip-flops as well as counter stages are connected to the same parallel clock source, which simultaneously triggers all counters. The external clock is delivered directly to all J-K Flip-flops in a parallel manner at the same time. If we look at the circuit, the J and K pins of the first flip-flop, which is the least important bit in the this 4-bit synchronous counter, are connected to an external Logic 1 input.

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alternators have all of the following characteristics except: group of answer choices greater wattage output at lower rpm. lower maximum rpm. smaller physical size and weight for a given output. greater reliability and longer service life.

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Option d is correct

The alternators do not provide greater reliability and longer service life. This is because any sudden change in the current will result in overheating which will damage it.

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in selected material systems, the s-n curve describing fatigue failure displays a horizontal or asymptotic region. what is this portion of the curve called?

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The S-N curve describing fatigue failure displays a horizontal or asymptotic region is called the fatigue limit S-N curve.

Fatigue properties of materials are often described using the fatigue limit or the S-N curve (fatigue curve, Wöhler curve). The S-N curve describes the relationship between cyclic stress amplitude and several cycles to failure. An S-N curve can be described as the number of cycles to failure, N(S), when a material is repeatedly cycled through a given stress range S. OrcaFlex uses the S-N curve to calculate the danger in fatigue analysis. If needed you can establish several different S-N curves and use them at different arc lengths along a line.

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what is the theoretical maximum signaling rate for a channel with the above frequency distribution? [6 points] (b) what is the theoretical maximum bit rate for this channel if a phase- amplitude modulated signal with 64 levels is transmitted over the channel? [6 points] (c) what is the actual maximum bit rate if the signal to noise (s/n) ratio for this channel is 33.111 db?

Answers

On a noiseless 3-kHz channel, binary signals cannot be carried faster than 6000 bps (= 2 x 3000 log2 2).

Once Nyquist understood what we were discussing, he offered a simple equation to calculate the Maximum Data Rate (MDR) of a noiseless channel. L represents the signal's level or condition, and MDR is computed as 2 * Bandwidth * Log2L. Any channel has a defined signal-to-noise ratio at a given temperature. SNR = (Power of signal) / is hence directly proportional to the channel capacity (power of noise). For example, 10 * log10(1000) = 30 dB is a common formula for a signal-to-noise ratio of 1000. a frequency that, if the data supported it, would be the theoretical distribution law frequency rather than the observed frequencies.

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a pulsed-wave transducer has a resonant frequency of 6 mhz. the lowest frequency in the pulse is 3 mhz and the highest is 12 mhz. what is the bandwidth?

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The bandwidth of this pulsed-wave transducer is calculated to be 9 MHz if the lowest frequency in the pulse is 3 MHz and the highest is 12 MHz.

Bandwidth is a term used related to frequency, which represents the range of frequencies occupied by a modulated radio-frequency signal which in this case is a pulsed-wave transducer.

It is usually given in hertz (Hz) or megahertz (MHz). It can also be given as a percentage of the radio frequency.

In other words, bandwidth refers to the difference between the highest frequency and the lowest frequency found in a pulse. Therefore;

bandwidth = highest frequency - lowest frequency

Substituting the values of the given highest and lowest frequency in this equation;

bandwidth = 12MHz - 3MHz

bandwidth = 9MHz

Therefore, the bandwidth of this pulsed-wave transducer is calculated to be 9MHz.

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Which tool is used to measure movement

Dial indicator
Feeler gauge
Inside micrometer
Outside micrometer

Answers

Answer:

Inside micrometer

Explanation:

goniometer is an instrument that measures the available range of motion at a joint. The art and science of measuring the joint ranges in each plane of the joint are called goniometry. To measure the range of motion physical therapists most commonly use a goniometer.

tech a says that variable valve timing allows the engine's piston displacement to be increased or decreased. tech b says that in-block cams usually include variable valve timing. who is correct?

Answers

Tech A a says that variable valve timing allows the engine's piston displacement to be increased or decreased.

What is engine piston?
Among other related systems, pistons are found in reciprocating engines, rotary pumps, gas compressor, hydraulic cylinders, and pneumatic cylinders. It is the moving part that is enclosed in a cylinder and sealed off from the gas by piston rings. Its function in an engine is to use a piston rod and/or connection rod to transmit force from the expanding gas within the cylinder to the crankshaft. For the goal of compressing and ejecting the fluid in the cylinder, the function is reversed in a pump, when force is transferred from of the crankshaft to the piston. By closing and opening apertures in the cylinder, the piston can also function as a valve in some engines.

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technician a says that the drive side of the ring gear side is the concave side. technician b says that the coast side of the ring gear is the convex side. who is correct?

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Technician A
Hope this helps :)

on a vehicle with dual filament brake / taillight bulbs, whenever the brake pedal is pressed the taillights as well as the brake lights of the vehicle illuminate dimly. technician a says the brake lights / taillights may have a poor ground connection. technician b says the brake light switch may have excessive resistance. who is correct?

Answers

Technician A exists correct. In contrast to brake lights, which turn on instantly when you hit the brakes, tail lights are activated by turning on your headlights or applying the parking brake.

Why would the brake warning light come on when you press on the foot brake?

When you press on the brake pedal, friction material from the brake pads snags the rotors. Over time, that friction substance deteriorates. When your brake pads are getting close to their minimum thickness, tiny sensors recognize it and turn on the dash light to alert you that it's time for brake maintenance.

In contrast to brake lights, which turn on instantly when you hit the brakes, tail lights are activated by turning on your headlights or applying the parking brake. The brake lights are a brighter red than the tail lights, which are typically red on cars.

One of three things could be the case if one or more of your brake lights aren't functioning properly: either the brake light system fuse has blown, the brake light bulbs have burned out, or the brake light wire switch has malfunctioned. These problems are all simple to fix.

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technician a says that if a fuse blows as soon as it is installed, a short to ground is indicated. technician b says the component will not turn off if the short to ground is on the ground side of the load component but before a grounding switch. who is correct?

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Both technicians A and B are correct. It is because when a just-installed fuse blows, it indicates a short-to-ground. If the short-to-ground is on the ground side of the load component and before a grounding switch, the component is not turned off.

A short-to-ground is a term used to refer to a short circuit that has a direct connection to the ground. A short-to-ground in the electrical system can cause a fuse to blow when a component is just installed.  When a short-to-ground occurs on the ground side of the installed component but before a grounding-side switch, it usually not results in turning the component off.

As per the above description, it is concluded that both technician A and technician B state correctly.

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for non-functional requirements in requirements engineering what are the constraints that the system must satisfy as well as the standards that the delivered system must meet?

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The system must satisfy the constraints of the problem domain as well as the standards of the delivered system.

What is delivered system?
A courier is a business or individual who transports a package from one location to another. FedEx, Parcel Monkey, and Hermes Group are a few well-known examples. The Royal Mail is somewhat of an anomaly, as are the majority of delivered system. In order to provide more specialised or regional services, deliver multiple shipments, and relieve sellers of obligation, courier delivery services are frequently utilised for e-commerce fulfilment. While larger firms may have contracts using courier services for cost-effective mass delivery, smaller enterprises, like independent merchants, are more likely to rely on public services like the Royal Mail.

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1. truss abc is changed by decreasing its height from h to 0.9 h. width w and load p are kept the same. which one of the following statements is true for the revised truss as compared to the original truss? a) force in all its members have decreased. b) force in all its members have increased. c) force in all its members have remained the same. d) none of the above.

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truss abc is changed by decreasing its height from h to 0.9 h. width w and load p are kept the same - force in all its members have increased. is the correct statement

What is force?
According to Aristotle, a force is something that causes an item to move "unnaturally." One of the first researchers to explore force and gravity was Sir Isaac Newton. A push or a push is all that constitutes a force. It might be compared to pushing or pulling on an object. An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. An application of force is the location at which force is applied, and the direction in which the force applied is defined as the the force's direction.

After resolving the members, we obtain the increased component for each member, which causes the force in each member to rise as the height decreases and the angle at each vertex increases.

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tech a says that lead oxide acts as an insulator on the battery posts and has to be scraped away. tech b says that current can leak across the dirt on the surface of the battery. who is correct?

Answers

According to the question of lead oxide, both A and B are correct.

What is lead oxide?

Lead oxide, often known as lead monoxide, is an inorganic chemical having the molecular formula PbO. PbO exists in two polymorphs: litharge with a tetragonal crystal structure and massicot with an orthorhombic crystal structure. PbO's modern applications are mostly in lead-based industrial glass and industrial ceramics, particularly computer components. According to X-ray crystallography, both polymorphs, tetragonal and orthorhombic, have a pyramidal four-coordinate lead core. The four lead-oxygen bonds are the same length in the tetragonal form, whereas two are shorter and two are longer in the orthorhombic form. The pyramidal structure suggests the presence of a stereo chemically active lone pair of electrons.

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a person with a background in engineering, computer science, or physics might choose to work as a technical specialist in a high-tech sector. this type of support role is referred to as a(n)

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Answer is -sales engineer- :)

A person with a background in engineering, computer science, or physics might choose to work as a technical specialist in a high-tech sector this type of support role is referred to as a(n) sales engineer.

What is the role of sales engineer?

Sales engineers have a focus on cutting-edge technology and scientific products. They make use of their technical expertise to highlight the advantages of their goods and services to potential clients and to demonstrate how they outperform those of their rivals.

Traveling to see prospective customers. establishing new ties with clients and preserving current ones. handling and interpreting client demands. influencing customers to believe that a product or service will best meet their needs.

His kind of work has significant earning potential, especially with commission. Best of all, sales engineers can often transition with ease into a related field like consulting or product management—or ascend to a sales management role.

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a cylindrical specimen of some metal alloy 7.0 mm in diameter is stressed in tension. a force of 5270 n produces an elastic reduction in specimen diameter of 0.0049 mm. calculate the elastic modulus (in gpa) of this material if its poisson's ratio is 0.35. enter your answer in accordance to the question statement gpa

Answers

The substance can affect the modulus of elasticity. For instance, the elastic modulus of concrete is about 30 GPa, but the elastic modulus of steel is about 200 GPa (29,000,000 psi) (4,350,000 psi).

Elasticity modulus for aluminum is 69 GPa. The elastic modulus is the slope of the Stress-Strain Curve prior to the onset of plastic deformation. The modulus line's slope is influenced by the atomic composition of the metal. The bulk of the atomic unit cell of steels is composed of nine iron atoms, one in each of the cube's four corners and one in the center. Elastic modulus, commonly known as the modulus of elasticity, is a measure of a material's resistance to undergoing elastic deformation when a load is applied.

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tech a says fuel line pressure may be relieved by disabling the fuel pump and running the engine until it stops. tech b says the only safe way to relieve fuel pressure is to open the fuel return line at a fitting away from the engine. who is correct?

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Technician A states correctly as the fuel line pressure is relieved by disabling the fuel pump and operating the engine until it stops.

Relieving the fuel pressure from the engine is considered a vital mechanism. There are numerous methods that can be used to relieve fuel pressure. Disabling the fuel pump is one such method that is used to relieve fuel pressure on the vehicle engine. In this method, the fuel pump fuse is removed/disabled, and then the engine is started until it stalls. Therefore, we can say that technician A is correct.

However, the fuel pressure cannot be relieved by opening the fuel return line at a fitting away from the engine. So, technician B is incorrect who recommends the opening of the fuel return line to be fitted away from the engine in order to relieve fuel pressure.

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a panel of ti-6al-4v titanium has an edge flaw 3.5 mm deep. what is the critical stress for crack propagation if the part is loaded perpendicular to the flaw and y for this geometry is 1.24? answer in mpa to 3 sig figs.

Answers

The critical stress for crack propagation if the part is loaded perpendicular to the flaw and y for this geometry is 1.24 is 769.27Mpa.

What exactly is critical stress?

Critical stress is a set of physical and psychological symptoms that might occur as a result of being involved in a traumatic critical occurrence. The body's common reaction to an abnormal event is critical incident stress.

Ti-6A1-4V has edge flaw 3.5mm deep

Y = 1.24

KIc for Ti-6A1-4V alloy is 100MPa.m[tex]^{1/2}[/tex]

KIc =σ Y[tex]\sqrt{\pi C}[/tex].

given crack is edge crack, so c= 3.5 × 10⁻³

1m= 1000mm

1mm=10⁻³m

σ = [tex]\frac{100}{1.24\times\sqrt{\pi \times 3.5 \times 10^{-3} } }[/tex] = 769.27Mpa

Critical stress for crack propagation is 769.27Mpa

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technician a says that the pcv system should create a slight pressure in the crankcase at idle. technician b says that the pcv system should create a slight vacuum in the crankcase at 2,500 rpm. which technician is correct?

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When technician A says that the PCV system should create a slight pressure in the crankcase at idle and Technician B says that the PCV system should create a slight vacuum in the crankcase at 2,500 RPM. The correct technician is Technician B.

What is a PCV System?

It is to be noted that the PCV controls the pressure used to clear blow-by gases from the crankcase. The pressure-regulating valve lowers the vacuum effect in the crankcase by directing away the blow-by gases. This keeps the engine seals from being damaged (which could be blown out if the pressure gets too high).

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Full Question:

Technician A says that the PCV system should create a slight pressure in the crankcase at idle. Technician B says that the PCV system should create a slight vacuum in the crankcase at 2,500 rpm. Which technician is correct?

A) technician A

B) technician B

C) both technicians A and B

D) neither technicians A nor B

compressors, the gas is often cooled while being compressed to reduce the power consumed by the compressor. explain how cooling the gas during a compression process reduces the power consumption.

Answers

The amount of work done by steady flow devices varies with the particular gas volume. The kinetic energy of gas particles decreases during cooling.

When the gas is subjected to intermediate cooling during compression, the gas specific volume is reduced, which lowers the compressor's power consumption. Compression is less adiabatic and more isothermal because the compressed gas must be cooled between stages since compression produces heat. The system's thermodynamic cycle's cold sink temperature is lowered by cooling the compressor coils. By increasing the temperature difference between the heat source and the cold sink, this improves efficiency.

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technician a says to use masking tape temporarily over the lining material to help prevent getting grease on the lining. technician b says that grease on the brake lining can cause the brakes to grab. which technician is correct?

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in the construction of a large reactor pressure vessel, a new steel alloy with a plane strain fracture toughness of 50 mpa-m1/2 and a y value of 1. an in-service stress level of 150 mpa has been calculated. what is the length of a surface crack (in mm) that will lead to fracture?

Answers

The length of a surface crack that will lead to fracture is 35.29mm.

What do you mean by surface crack?

The surface crack in flexure (SCF) method employs a Knoop indentation to create a tiny semielliptical surface precrack in a bent bar. The DC Potential Drop Method can detect surface crack configuration. The crack shape can be determined with some accuracy by measuring the potential difference distribution along the surface cracks of a structural material subjected to DC current.

given, Kiс=50mpa√m

Y= 1.0

б=150mpa

find a= ? in(mm)

Formula,

Kic=Y.б√πa

where, Kic= Toughness due to fracture

б= applies stress

a= length of the crack

Y= Factor (geometrical)

Now, Kic=Y.б√πa

50=(1.0).(150).√πa

∴0.333= √πa

a= (0.333)²/(√π)

=0.03529m

=35.29mm

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a microphone produces a voltage of 2mv and has an internal resistance of 300 ohm. the microphone is connected to an amplifier with an input impedance of 1k-ohm, an output impedance of 50 ohm, and a voltage gain of 50db. the amplifier output is connected to a 75 ohm load. what is the output voltage?

Answers

If the microphone produces a voltage of 2mv and has an internal resistance of 300 ohm, the amplifier output voltage would be 75mv.

What is voltage?

Voltage is the difference in electric potential between two points, often known as electric pressure, electric tension, or (electric) potential difference. It refers to the labour required per unit of charge to move a test charge between two places in a static electric field. The derived unit for voltage in the International System of Units is called volt. Work per unit charge is defined in SI units as joules per coulomb, where 1 volt equals 1 joule (of work) for 1 coulomb (of charge).

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an ideal otto cycle has a compression ratio of 7.4 and produces a net work output of 328.1 kj/kg. at the beginning of the compression process, air is at 282 k and 193.4 kpa. calculate the mean effective pressure for the cycle in kpa. 906.53 1.35 1.96 379.37 none of the above

Answers

The compression ratio and the equation = cp/cv determine the thermal efficiency of the air-standard Otto cycle.

With a higher compression ratio, the ideal Otto cycle becomes more thermally efficient. We come to the conclusion that the thermal efficiency of the air-standard Otto cycle is a function of the compression ratio and = cp/cv after rewriting the calculation for thermal efficiency using the compression ratio. The constant volume heat addition cycle, often known as the Otto cycle, takes into account one unique instance of an internal combustion engine where the combustion is so quick that the piston does not move, leading to the assumption that combustion occurs at constant volume.

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high-bypass ratio (separate exhaust) turbofan engine powers a commercial transport. at the cruise condition, the flight and engine operating conditions are:

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In the cruise situation, the flight and engine working situations are equal to the weight, and the thrust is equal to the drag.

In a cruise situation for the aircraft in satisfactory situation technique, the forces performing on an aircraft in flight can be in equilibrium and produce no internet outside force. In this situation, the increase is equal to the weight, and the thrust is equal to the drag.

Cruise flight can be described because of the phase of flight that falls between climb and descent. the maximum crucial probabilities of enjoy time and enjoy gas are fed on normally in this phase of flight.

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technician a says that the cranking circuit should be tested for proper amperage draw. technician b says that an open in the control circuit will not prevent starter motor operation. which technician is correct?

Answers

Technical A is correct; check the cranking circuit for adequate amperage draw.

What is the operation of a starter motor?When you turn on the ignition, an internal electromagnet inside the body activates and forces a rod with a pinion connected outward. As the pinion and flywheel make contact, the starter motor rotates.This causes the engine to spin and pull in air (as well as fuel). A starter is a device that rotates (cranks) an internal combustion engine so that it can begin running on its own power. It is also referred to as a self-starting, cranking, or beginning motor.The starter motor is powered by the solenoid, which assists in moving the starter gear forward so that it meshes with the engine flywheel.This flywheel is attached to the crankshaft of the engine and rotates with it as the starter motor turns.

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a cranking current test is performed, and the amperage is found to be less than specification. technician a says the starter is bad and it should be replaced. technician b insists on testing the resistance of the cables, grounds, and connections. who is correct?

Answers

According to the question of resistance, technician b is correct.

What do you mean by resistance?

The resistance of an electrical circuit to current flow is measured. Although the term "resistance" may sound negative, it has a good application in electricity. The Greek letter omega represents resistance, which is measured in ohms ().Resistance cannot be measured in an active circuit. As a result, troubleshooting personnel frequently assess resistance by measuring voltage and current and applying Ohm's Law.

Resistance in the cables, grounds, and connections can cause the starter to draw too much current. the cranking current test will indicate if the starter is good.

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the given fsm has input b, output z, and starts in state x. what is the fsm's resulting output if b is 1 on the first rising clock edge, 1 on the second, and 1 on the third?

Answers

The fsm's resulting output if b is 1 on the first rising clock edge, 1 on the second, and 1 on the third is Z=1.

What is fsm?

A finite-state machine (FSM), sometimes known as a finite automaton (FSA, plural: automata), or simply a state machine, is a mathematical model of computation. It is an abstract machine that can only be in one of a finite set of states at any one moment. In response to some inputs, the FSM can transition from one state to another; this transition is referred to as a transition. An FSM is defined by a set of states, an initial state, and the inputs that cause each transition. There are two kinds of finite-state machines: deterministic finite-state machines and non-deterministic finite-state machines. A deterministic finite-state machine can be built in the same way as any non-deterministic one.

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the maximum load that a hori-zontal beam can carry is directly proportional to its width. if a beam 1.5 inches wide can support a load of 250 pounds, find the load that a beam of the same type can support if its width is 3.5 inches.

Answers

The load that the same type of beam can support is 583.345 pounds if its width is 3.5 inches.

As the maximum load that can be carried by the beam is directly proportional to the width of the beam and a 1.5 inches wide beam can support a load of 250 pounds, an equation can be written as;

L = kw

Here L represents the maximum load supported and w represents the width and k is the constant of proportionality. Therefore;

250 = k × 1.5

Solving for k;

k = 250 ÷ 1.5

k = 166.67

Therefore the equation can be written as;

L = 166.67 w

As the width of the same type of beam is 3.5 inches, the maximum load it can support can be calculated as follows;

L = 166.67 × 3.5

L = 583.345 pounds

Therefore; 583.345 pounds is the maximum load that the beam can support if its width is 3.5 inches.

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A brake drum has a discard diameter specification of 11.420 inches and a maximum refinish specification of 11.390 inches. If the drum currently measures 11.362 inches, what are your options

Answers

Answer:

throw it out

Explanation:

if it need to be discareded at 11.420 and its already at 11.362 its no longer in the guidlines for operation, by refinishing your taking away material.

when combustibles are covered with no. 24-gauge sheet metal with a 1-inch ventilated air space, the required 18-inch clearance from the rear of an appliance may be reduced to how many inches?

Answers

The required 18-inch clearance from the rear of an appliance can be decreased to 6 inches when combustibles are covered with no. 24-gauge sheet metal with such a 1-inch ventilated air space.

What do you mean by sheet metal gauge?

A sheet metal gauge specifies the typical thickness of sheet metal for a given material. The material thickness reduces as the gauge number increases. Steel sheet metal thickness gauges are weighted at 41.82 of pounds per square foot per inch of thickness. This is known as the Sheet Steel Manufacturers' Standard Gage. Other materials, such as aluminium and brass, will have varying thicknesses

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Other Questions
How much kinetic energy does Usain Bolt (m=94kg) have when he hits his topspeed of 12 m/s? Consider the line y=7x-1Find the equation of the line that is perpendicular to this line and passes through the point 2, 3.Find the equation of the line that is parallel to this line and passes through the point 2, 3.Note that the ALEKS graphing calculator may be helpful in checking your answer.Equation of per pendicular line:Equation of parallel line: determine whether AB and AC are parallel,perpendicular,or neither.A(9,-3) , B(9,4), C(-2,10), D(-2,6) Find the area of the triangle. Plot the vertex of f(x) = (x 2)2 + 2. what is authors attitude about mr lacey in stray find the value of x so that AB and DC are parallel Which of the following is the moment when a character's fortunes change and the plot drives towards the conclusion of the story? a. the parallel plot b. the turnabout c. the pivot point d. the midpoint Solve for y 2(4y+7)=62 Main idea: Sweetness is achieved both naturally and artificiallySuporting detail: Humans love sweet things but sugar is highin caloriesSuporting detail:Suporting detail: Consumers must make informed decisionsabout what type of sweetener they chooseWhich of the following is a supporting detail that completes theinformal outline of the passage?O Many humans have a "sweet tooth"O Science has created many sugar substitutesO Grocery stores are full of sugary productsHoney is a natural sweetener 1. How would an element be classified?a. homogeneous mixtureb. pure substancec. solutiond. heterogeneous mixture If f(x) = 8x2- 18x + 5, find when f(x) = -4 Find the distance between the two points rounding to the nearest tenth (if necessary).(6,-8) and (1,4) Hi, can you help me answer this question please, thank you! Clara / mis / son / y / amigos. / Juan 3.23x106 kJ to kcalExpress the value in kilogploring to three significant figureshelp me please! If the same elevator accelerates downwardswith an acceleration of 1.2 m/s2, what is theupward force exerted by the elevator floor onthe passenger? David has a wooden board that is 6 feet long. how many pieces can be cut from the board if the length of each piece is 1/3 of a foot Find the value of x. Read the following excerpts from Faust and the book of Job before you answer the question.MephistophelesNo, Lord! I find things there, as ever, in sad plight.Men, in their evil days, move my compassion;Such sorry things to plague is nothing worth.The LordKnow'st thou my servant, Faust?Mephistopheles(5) The doctor?The LordRight.MephistophelesHe serves thee truly in a wondrous fashion.Poor fool! His food and drink are not of earth.An inward impulse hurries him afar,(10) Himself half conscious of his frenzied mood;From heaven claimeth he the fairest star,And from the earth craves every highest good,And all that's near, and all that's far,Fails to allay the tumult in his blood.The Lord(15) Though in perplexity he serves me now,I soon will lead him where more light appears;When buds the sapling, doth the gardener knowThat flowers and fruit will deck the coming years.MephistophelesWhat wilt thou wager? Him thou yet shall lose,(20) If leave to me thou wilt but give,Gently to lead him as I choose!The LordSo long as he on earth doth live,So long 'tis not forbidden thee.Man still must err, while he doth strive.Mephistopheles(25) I thank you; for not willinglyI traffic with the dead, and still averThat youth's plump blooming cheek I very much prefer.I'm not at home to corpses; 'tis my way,Like cats with captive mice to toy and play.The Lord(30) Enough! 'tis granted thee! DivertThis mortal spirit from his primal source;Him, canst thou seize, thy power exertAnd lead him on thy downward course,Then stand abash'd, when thou perforce must own,(35) A good man in his darkest aberration,Of the right path is conscious still.Mephistopheles'Tis done! Full soon thou'lt see my exultation;As for my bet no fears I entertain.And if my end I finally should gain,(40) Excuse my triumphing with all my soul.Dust he shall eat, ay, and with relish take,As did my cousin, the renowned snake.1The LordHere too thou'rt free to act without control;I ne'er have cherished hate for such as thee.(45) Of all the spirits who deny,The scoffer is least wearisome to me.Ever too prone is man activity to shirk,In unconditioned rest he fain would live;Hence this companion purposely I give,(50) Who stirs, excites, and must, as devil, work.But ye, the genuine sons of heaven, rejoice!In the full living beauty still rejoice!May that which works and lives, the ever-growing,In bonds of love enfold you, mercy-fraught,(55) And Seeming's changeful forms, around you flowing,Do ye arrest, in ever-during thought!(Heaven closes, the Archangels disperse.)1 "So the LORD God said to the serpent, "Because you have done this, "Cursed are you above all livestock and all wild animals! You will crawl on your belly and you will eat dust all the days of your life." Genesis 3:14The book of Job excerpt6One day the angels came to present themselves before the Lord, and Satan also came with them. 7The Lord said to Satan, "Where have you come from?" Satan answered the Lord, "From roaming throughout the earth, going back and forth on it."8Then the Lord said to Satan, "Have you considered my servant Job? There is no one on earth like him; he is blameless and upright, a man who fears God and shuns evil."9"Does Job fear God for nothing?" Satan replied. 10"Have you not put a hedge around him and his household and everything he has? You have blessed the work of his hands, so that his flocks and herds are spread throughout the land. 11But now stretch out your hand and strike everything he has, and he will surely curse you to your face."12The Lord said to Satan, "Very well, then, everything he has is in your power, but on the man himself do not lay a finger."Then Satan went out from the presence of the Lord.What is the purpose of the allusion to the book of Job in this excerpt? (2 points)It elaborates on the background knowledge needed to understand the symbolism.It emphasizes the difference between Mephistopheles and the devil.It illuminates humanity's questions about the origin and purpose of suffering.It provides additional information necessary to understand the setting.It reveals the extent of Goethe's religious training and preference for the story.