for the following system, find an analytic expression for the output. also indicate the time constant, rise time, and settling time.

Answers

Answer 1

The rise time is the time it takes for the output to reach 90% of the steady state value, and the settling time is the time it takes for the output to reach 99% of the steady state value.

What is output?

Output is the result of a process or system. It can be physical, such as a manufactured item or digital, such as a computer program. Output can be a product, a service, knowledge, or any combination of these.

Output:

The output of the system is given by:

$y(t) = \frac{10}{25}u + \left(y_0 - \frac{10}{25}u\right)e^{-\frac{t}{\tau}} \cos \left(\frac{\sqrt{15}}{\tau}t\right) + \left(y_1 + \frac{2}{5\sqrt{15}}u\right)e^{-\frac{t}{\tau}}\sin \left(\frac{\sqrt{15}}{\tau}t\right)$

where $\tau = \frac{1}{\sqrt{10}}$ is the time constant and $y_0$ and $y_1$ are the initial conditions of the system.

The rise time is the time it takes for the output to reach 90% of the steady state value, and the settling time is the time it takes for the output to reach 99% of the steady state value. The rise time and settling time can be approximated using:

Rise time $= 4\tau$

Settling time $= 8\tau$

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Related Questions

2.13 LAB: Expression for calories burned during workout
This section has been set as optional by your instructor.
The following equations estimate the calories burned when exercising (source):

Men: Calories = ( (Age x 0.2017) — (Weight x 0.09036) + (Heart Rate x 0.6309) — 55.0969 ) x Time / 4.184

Women: Calories = ( (Age x 0.074) — (Weight x 0.05741) + (Heart Rate x 0.4472) — 20.4022 ) x Time / 4.184

Write a program using inputs age (years), weight (pounds), heart rate (beats per minute), and time (minutes), respectively. Output calories burned for men and women.

Output each floating-point value with two digits after the decimal point, which can be achieved as follows:
print('Men: %0.2f calories' % calories_man)

Ex: If the input is:

49
155
148
60
Then the output is:

Men: 489.78 calories
Women: 580.94 calories
299420.1660094

Answers

Answer:

ee

Explanation:

This is an over the top question

The program requires a sequence control structure; First, we get input for the variables, and then use the formula to calculate the amount of calories burnt.

The program in python is as follows, where comments (in italics) are used to explain each line.

#This gets input for age, in years

age = int(input("Age (years): "))

#This gets input for weight, in pounds

weight = int(input("Weight (pounds): "))

#This gets input for heart rate, in beats per minutes

heart_rate = int(input("Heart Rate (beats per minutes): "))

#This gets input for time, in minutes

time = int(input("Time (Minutes) : "))

#This calculates the calories burnt for men

calories_man = ((age * 0.2017) - (weight * 0.09036) + (heart_rate * 0.6309) - 55.0969) * time / 4.184

#This calculates the calories burnt for women

calories_woman = ((age * 0.074) - (weight * 0.05741) + (heart_rate * 0.4472) - 20.4022 ) * time / 4.184

#This prints the calories burnt for men

print('Men: %0.2f calories' % calories_man)

#This prints the calories burnt for women

print('Women: %0.2f calories' % calories_woman)

Please note that the program does not check for valid inputs

See attachment for program output

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2.13 LAB: Expression for calories burned during workoutThis section has been set as optional by your

10. State four possible combinations of service equipment that meet the requirements of
110.9 and 110.10 of the Code.
a.
b.
C.
d.

Answers

However, assuming it pertains to the National Electrical Code (NEC), four possible combinations of service equipment that meet the requirements of 110.9 and 110.10 of the NEC could.

Based on the references to "110.9" and "110.10 of the Code," it appears that this question pertains to the National Electrical Code (NEC). Section 110.9 of the NEC states that "equipment intended to interrupt current at fault levels shall have an interrupting rating sufficient for the nominal circuit voltage and the current that is available at the line terminals of the equipment." Section 110.10 requires that "all electrical equipment and materials shall be listed or labeled."

Given these requirements, four possible combinations of service equipment that meet the NEC's requirements could include:

A listed and labeled circuit breaker panel with a suitable interrupting rating and a listed and labeled transfer switch.A listed and labeled switchgear assembly with a suitable interrupting rating and a listed and labeled generator transfer switch.A listed and labeled fused disconnect switch with a suitable interrupting rating and a listed and labeled distribution panel.A listed and labeled molded case circuit breaker with a suitable interrupting rating and a listed and labeled meter socket.

It's important to note that these are just a few possible combinations that could meet the NEC's requirements, and the specific combination required will depend on the specific installation and its requirements. A qualified electrical professional should always be consulted to ensure compliance with all applicable codes and standards.

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What is the approximate average power output of a well-designed modern turbine in Des Moines, Iowa with a 10 m2 swept area and 50 m hub height

Answers

The approximate average power output is mathematically given as

P=1097.6w

What is the approximate average power output?

Question Parameters:

Iowa with a 10 m2 swept area and 50 m hub height

Assume 80% of the Betz limit, 80% conversion efficiency, and air density of 1.0 kg/m3. Wind speed is 7 m/s2

Generally, the equation for the average output power  is mathematically given as

\(P=0.5 \phi BAu^3*n\\\)

Where

B= Benz coefficient

n=0.8

Therefore

P=0.5*1*0.8*10*7^3*0.8

P=1097.6w

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Complete Question

What is the approximate average power output of a well-designed modern turbine in Des Moines, Iowa with a 10 m2 swept area and 50 m hub height? Assume 80% of the Betz limit, 80% conversion efficiency, and air density of 1.0 kg/m3. Wind speed is 7 m/s2

technician A says that incandescent bulbs resist vibration well. Technician B says that HID headlamps require up to approximately 25,000 volts to start. Who is correct

Answers

Answer:

Both a and b.

Explanation:

HID headlamps require high voltage ignition to start just like street lamps. It requires almost 25,000 volts to start HID head lamps but require only 80 to 90 volts to keep it operating.

Calculate the camacitance-to-neutral in F/m and the admittance-to-neutral in S/km for the three-phase line in problem Neglect the effect of the earth plane.

Answers

Answer:

The answer is given below

Explanation:

A 60 Hz three-phase, three-wire overhead line has solid cylindrical conductors  arranged in the form of an equilateral triangle with 4 ft conductor spacing. Conductor  diameter is 0.5 in.

Given that:

The spacing between the conductors (D) = 4 ft

1 ft = 0.3048 m

D = 4 ft = 4 × 0.3048 m = 1.2192 m

The conductor diameter = 0.5 in

Radius of conductor (r) = 0.5/2 = 0.25 in = 0.00635 m

Frequency (f) = 60 Hz

The capacitance-to-neutral is given by:

\(C_n=\frac{2\pi \epsilon_0}{ln(\frac{D}{r} )} =\frac{2\pi *8.854*10^{-12}}{ln(1.2192/0.00635)}=1.058*10^{-11}\ F/m\)

The admittance-to-neutral is given by:

\(Y_n=j2\pi fC_n=j*2\pi *60*1.058*10^{-11}*\frac{1000\ m}{1\ km}=j3.989*10^{-6}\ S/km\)

A saw produces 100 decibels of sound. If a worker is wearing hearing protection with an NNR rating of 30, then the worker should only hear __________ decibels of sound

Answers

the worker wearing the hearing protection with an NNR rating of 30 should only hear 70 decibels of sound. The hearing protection reduces the sound level by 30 decibels, providing a safer and more comfortable auditory environment for the worker.

When a worker is wearing hearing protection with a Noise Reduction Rating (NNR) of 30, the NNR represents the amount of noise reduction provided by the hearing protection device. To calculate the effective decibel level the worker will hear, the NNR is subtracted from the original sound level.In this case, the saw produces 100 decibels of sound, and the NNR of the hearing protection is 30. To calculate the effective decibel level, we subtract the NNR from the original sound level:Effective Decibel Level = Original Sound Level - NNR  Effective Decibel Level = 100 dB - 30 dB = 70 dB.

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2) Apply parabolic signal as input to first system to find output response and explain steady [1] and transient state response of the system

Answers

When applying a parabolic signal as an input to a system:

The steady-state response of the system will typically exhibit a parabolic shape similar to the input signal.

The behavior of the system

The amplitude and shape of the output parabolic signal will depend on the specific characteristics of the system.

The transient state response refers to the initial period when the system adjusts to the input signal. During this time, the output response may involve oscillations or overshoot before settling into the steady state.

The specific characteristics of the steady-state and transient responses depend on the system's dynamics, transfer function, and time constants. To fully analyze the system's behavior, detailed information about the system's transfer function or impulse response is required.

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For an Ac signal with peak voltage Vp equal to 60V, the same power would be delivered to a load with a dc voltage of

Answers

Answer:

  30√2 ≈ 42.426 volts

Explanation:

The RMS value of the signal is the DC equivalent. For a sine wave, the mean of the square is half the square of the peak value. Then the Root-Mean-Square is ...

  RMS = √((Vp)^2/2) = Vp/√2

For Vp = 60 volts, the equivalent DC voltage is ...

  V = (60 volts)/√2 = 30√2 volts ≈ 42.426 volts

NEED HELP!!!!!!

Based on the following passage, why is most architectural glass used in curtain walls tempered?

Architectural glass is composed of sodium carbonate, limestone, and silica. During manufacturing, most of this glass undergoes the process called tempering, meaning it is strengthened and thus becomes safer in the event it is shattered later on. Tempering compresses the outer surfaces and puts tension on the inner surfaces by treating it with heat and sometimes with acid, which erases surface imperfections and strengthens it. Unlike plate glass, if tempered glass breaks, it crumbles into small chunks that are less likely to cause injury. Tempered glass is used mostly in commercial and industrial facilities; it is the type of glass your car windshield is made of. Tempered glass is sometimes called toughened glass or safety glass.

Responses

A. Curtain walls must be extremely strong because they are load bearing.

B. Tempered glass is simple enough to be installed by any worker, not just glaziers.

C. Curtain walls, as the façade of a building, must be strong enough to withstand the elements.

D. Tempered glass does not require the use of mullions.

Answers

Based on the provided passage, C) Curtain walls, as the façade of a building, must be strong enough to withstand the elements is correct answer.

Curtain walls serve as the outer layer of a building's envelope and are responsible for protecting the interior from external forces such as wind, rain, and temperature changes.

They are designed to be load-bearing, meaning they carry the weight of the wall and transfer it to the structural framework of the building.

Therefore, the glass used in curtain walls needs to possess sufficient strength and durability to withstand these forces and maintain the structural integrity of the building.

Tempered glass, as mentioned in the passage, undergoes a strengthening process that compresses the outer surfaces and puts tension on the inner surfaces.

This process significantly enhances the overall strength of the glass, making it more resistant to breakage.

By treating the glass with heat and sometimes acid, surface imperfections are eliminated, further reinforcing its structural integrity.

In comparison to plate glass, tempered glass is more capable of withstanding the stresses imposed by wind, temperature differentials, and other environmental factors.

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Tech A says that a mechanical pressure regulator exhausts excess fluid back to the transmission pan. Tech B says that if the transmission pan is removed, the magnet must be replaced. Who is correct?

Answers

Answer:

A

Explanation:

A distorted 1kHz sine wave is represented by the equation v(t)-5sin (2T1000t) +0.05sin(2T3000t) What is the total harmonic distortion (THD) of this sine wave? Enter your answer as a percent. Pregunta2 1 ptos. Choose all of the statements below that are true about the signal of Question 1 The second harmonic of the sine wave causes the distortion The third harmonic of the sine wave causes the distortion. The spectrum of the signal has two spikes. The largest spike in the spectrum is at 1kHz. A highpass filter could be used to improve the THD.

Answers

To calculate the total harmonic distortion (THD) of the given sine wave, we need to find the root mean square (RMS) values of the fundamental and harmonic components of the signal.

THD = sqrt((V2^2 + V3^2 + ... + Vn^2) / V1^2) * 100% Where V1 is the RMS value of the fundamental component, and V2, V3, ..., Vn are the RMS values of the second, third, and higher-order harmonic components.In this case, the given sine wave has a fundamental frequency of 1 kHz and two harmonic components at 2 kHz and 3 kHz. We can calculate the RMS values using the formula:V_rms = V_p / sqrt(2)  Where V_p is the peak voltage of the component.

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a Compass is a weak magnet that aligns itself to the local Electric Field

Select one:
True
False

Answers

Answer:

true

Explanation:

Which of the following is an example of a tax

Answers

Answer:

A tax is a monetary payment without the right to individual consideration, which a public law imposes on all taxable persons - including both natural and legal persons - in order to generate income. This means that taxes are public-law levies that everyone must pay to cover general financial needs who meet the criteria of tax liability, whereby the generation of income should at least be an auxiliary purpose. Taxes are usually the main source of income of a modern state. Due to the financial implications for all citizens and the complex tax legislation, taxes and other charges are an ongoing political and social issue.

I dont know I asked this to

Explanation:

Technician A says that the computer can be used to control the output of the alternator by controlling the field current. Technician B says that voltage regulators control the alternator output by controlling the field current through the rotor. Which technician is correct

Answers

Both Technician A and Technician B are correct.

The computer in modern vehicles can control the output of the alternator by controlling the field current. The computer receives information from various sensors in the vehicle, such as the battery temperature and voltage, and adjusts the field current accordingly to ensure that the alternator output is sufficient to meet the electrical needs of the vehicle.

Voltage regulators, which are also used in modern vehicles, control the alternator output by controlling the field current through the rotor. The voltage regulator monitors the voltage output of the alternator and adjusts the field current to maintain a stable voltage output, typically around 14 volts.

Therefore, both Technician A and Technician B are correct in their statements, and their statements are complementary.

The voltage regulators control the alternator output by controlling the field current through the rotor, so Technician B is correct.

Voltage regulators control the alternator output by regulating the field current through the rotor. The voltage regulator is an integral part of the alternator system and is responsible for monitoring the electrical output of the alternator and adjusting the field current to maintain a stable voltage.

The voltage regulator continuously monitors the electrical system's voltage and sends a signal to the alternator to adjust the field current accordingly. If the voltage drops below the desired level, the regulator increases the field current, which boosts the alternator's output. Conversely, if the voltage rises above the desired level, the regulator decreases the field current to reduce the alternator's output.

While computers and electronic control systems are used in modern vehicles to monitor and control various aspects of the electrical system, such as engine performance and emissions, they do not directly control the output of the alternator by manipulating the field current. The voltage regulator is responsible for that task.

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Explain when single-stranded or multistranded wire should be used.

Answers

single stranded wires are best suited for products that won't encounter much movement;this type of wiring is often only used in smaller gauge wiring applications as it can be difficult to maneuver and utilize a heavy gauge, single conductor wire.

provide the two terms which describe: the ability to shape a metal by hammering or rolling and the ability of metal to be drawn into a long thin cable or wire.

Answers

Malleability and ductility are important properties of metals that make them versatile materials for various applications. An explanation of these terms shows how metals can be shaped and manipulated to fit specific needs.

The first term that describes the ability to shape a metal by hammering or rolling is "malleability". This property allows metals to be bent and shaped without breaking. The second term that describes the ability of metal to be drawn into a long thin cable or wire is "ductility". This property enables metals to be stretched into a wire without breaking, making them useful for electrical wiring and other applications.

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3. Of the following answers, which is NOT a way for employees to control exposure routes?

Answers

There are a lot of ways employees uses in controlling exposure routes.  But when risk assessment is not be performed is not a part of the control methods.

What are the three ways to  control workplace hazards?

The ways to control workplace hazards are known to be means taken to ensure safety in the workplace.

The examples are:

The use a hazard control plan to know, select and implement controls. Looking into the efficiency of existing controls, and creating plans with measures to protect workers in case of emergencies and nonroutine activities, etc.

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in migrationist and diffusionist explanations of the past, a "people" is defined as

Answers

In migrationist and diffusionist explanations of the past, a "people" is defined as a group of individuals who share a common cultural heritage, ancestry, language, or geographic origin.What is migrationism?Migrationism refers to a school of thought that asserts that cultural and technological progress are propelled by the migration of people and ideas.

When people migrate to new locations, they bring their culture and knowledge with them, allowing it to spread to new areas. Migrationism is linked to the concept of cultural diffusion, which refers to the spread of cultural elements, including religious and artistic ideas, from one culture to another.Migrationists believe that human civilization is constantly changing, evolving, and developing, with new ideas and innovations emerging as a result of human movement and interaction. This perspective acknowledges that societies are often formed and modified by external influences, including the migration of people from other cultures and geographic regions.

\What is diffusionism?Diffusionism, also known as cultural diffusionism, is the view that cultural elements, including religious and artistic ideas, originate from a single source and then spread to other cultures, often through trade, migration, and other forms of contact. According to diffusionism, all cultures can trace their origins back to a few ancient civilizations, such as those of Egypt, Greece, or China.Diffusionism was popular in the early twentieth century, particularly among anthropologists and archaeologists. However, its simplistic explanations for the origin and spread of cultural elements have been widely criticized.

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To find the quotient of 8 divided by 1/3, multiply 8 by?
i need it asap but its should be 1 2 3 or 4 to answer


DONT GIVE ME LINKS ITS STUIPID JUST SAY A B C OR D

Answers

Answer: 8.33333333 or 6.1989778

Explanation:

In poor weather you should___ your following distance

Answers

The answer is increase

d) if the output voltage across the load is twice that needed and there are signs of amplifier saturation, suggest the location and value of a single resistor that would produce the desired output. choose an arrangement that would cause minimum disruption to an operating circuit. (hint: use parallel rather than series connections.)

Answers

Choose a resistor with a wattage rating that can handle the power dissipation (P = VI) without overheating or causing damage to the circuit.

We have to give that,

The output voltage across the load is twice that needed and there are signs of amplifier saturation.

Now, Based on the description, it sounds like you may need to add a resistor in parallel with the load in order to achieve the desired output voltage.

Hence, For the value of the resistor you would need to add, first need to know the resistance of the load and the output voltage you're trying to achieve.

Once you have that information, you can use Ohm's Law (V = IR) to calculate the necessary value of the resistor:

R = (Vsupply - Vload) / Iload

Where:

Vsupply is the voltage of your power supply

Vload is the output voltage you're trying to achieve

Iload is the current through the load

Since adding a resistor in parallel with the load will change the overall resistance of the circuit, so you'll need to recalculate the current (Iload) and adjust the value of the resistor accordingly.

Also, be sure to choose a resistor with a wattage rating that can handle the power dissipation (P = VI) without overheating or causing damage to the circuit.

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You are getting ready to transport troops in an M1152 configured with cargo cover and troops seats. Which of the following should you do before starting out?

Answers

Answer:

I believe it would be to lower the troop seats.

Explanation:

Engineering Physics
The x and y component of a vector is 3 and 5, respectively. What is the angle between the vector and positive x-axis?

Answers

Answer:

The angle between the vector and positive x-axis is approximately 59.036º.

Explanation:

By Linear Algebra and to be precise, by definition of Dot Product we can determine the angle between two vector from following expression:

\(\theta = \cos^{-1}\frac{\vec u \,\bullet \,\vec v}{\|\vec u\|\cdot \|\vec v\|}\) (1)

Where:

\(\vec u\), \(\vec v\) - Vectors, no unit.

\(\|\vec u\|\), \(\|\vec v\|\) - Norms of vectors, no unit.

\(\theta\) - Angle, measured in sexagesimal degrees.

Please notice that norms are calculated by Pythagorean Theorem. If we know that \(\vec u = (3,5)\) and \(\vec v = (1, 0)\), then the angle between the vector and positive x-axis is:

\(\|\vec u\| = \sqrt{3^{2}+5^{2}}\)

\(\|\vec u\| = \sqrt{34}\)

\(\|\vec v\| = 1\)

\(\theta = \cos^{-1}\frac{(3)\cdot (1)+(5)\cdot (0)}{\sqrt{34}\cdot 1 }\)

\(\theta = \cos^{-1}\frac{3}{\sqrt{34}}\)

\(\theta \approx 59.036^{\circ}\)

The angle between the vector and positive x-axis is approximately 59.036º.

Determine the maximum deflection of the solid circular shaft. The shaft is made of steel having E = 200 GPa. It has a diameter of 100 mm. Use:
a) Method of integration
b) Method of superposition

Answers

The maximum deflection of the solid circular shaft can be determined using the method of integration and the method of superposition.

Let's look at each method.Method of integration The maximum deflection can be determined using the following formula;Δmax=FL^3/3EIwhere;F = force appliedL = Length of the shaftE = Modulus of elasticity of the shaftI = Moment of inertia of the shaftΔmax=FL^3/3EI= (1000 N)(2 m)^3/(3(200 GPa)(π/4)(0.05 m)^4)=0.0221 mmMethod of super positionThe shaft is made of steel having E = 200 GPa.

It has a diameter of 100 mm. The force applied at 1 m is 2000 N while the force applied at 2 m is 3000 N.The deflection at a distance of 1 m from the left end can be calculated as:Δ1=(FL^3)/(3EI)= (2000 N)(1 m)^3/[(3)(200 GPa)(π/64)(0.1 m)^4]= 0.0412 mmThe deflection at a distance of 2 m from the left end can be calculated as:Δ2=(FL^3)/(3EI)= (3000 N)(2 m)^3/[(3)(200 GPa)(π/64)(0.1 m)^4]= 0.339 mm

Therefore, the maximum deflection of the solid circular shaft is the deflection at a distance of 2 m from the left end, which is 0.339 mm.

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assuming complementary inputs are available, the minimum number of transistors needed to realize a two input xor gate is:

Answers

Assuming complementary inputs are available, the minimum number of transistors needed to realize a two input xor gate is 4.

If two inputs work well together in the production process, they are said to be complements. Since the inputs are used in fixed proportions, if the price of one input lowers, more of it will be sought after, increasing the demand for the other input.

In this study, a model of anticompetitive exclusive contracts with complimentary inputs is built. A downstream company converts a variety of complementary inputs into finished goods. When complementary input providers hold a dominant position in a specific input market, upstream competition price within that market benefits both the downstream firm and the complementary inputs providers by driving up complementary input prices.

Thus, even when entry that is socially optimal is permitted, the downstream firm is unable to generate higher profits. Therefore, even in the absence of scale economies, downstream competition, and relationship-specific investment, the inefficient incumbent provider can prevent socially efficient entrance by employing exclusive contracts.

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a commercial refrigerator with r-134a as the working fluid is used to keep the refrigerated space at -35 c by rejecting waste heat to cooling water that enters the condenser at 18 c at a rate of 0.25 kg/s and leaves at 26 c. the refrigerant enters the condenser at 1.2 mpa and 50 c and leaves at the same pressure subcooled by 6 c. if the compressor consumes 3.3 kw of power , determine (a) the mass flow rate of the refrigerant, b) the refrigerant load, c) the cop, and d) the minimum power input to the compressor for the same refrigeration load.

Answers

At 1.2mpa pressure and 50c

What is pressure?
By pressing a knife against some fruit, one can see a straightforward illustration of pressure. The surface won't be cut if you press the flat part of the knife against the fruit. The force is dispersed over a wide area (low pressure).

a)Mass flow rate of the refrigerant
Therefore h1= condenser inlet enthalpy =278.28KJ/Kg
saturation temperature at 1.2mpa is 46.29C
Therefore the temperature of the condenser

T2 = 46.29C - 5
T2 = 41.29C

Now,
d)power consumed by compressor W = 3.3KW
Q4 = QL + w = Q4
QL = mR(h1-h2)-W
= 0.0498 x (278.26 - 110.19)-3.3
=5.074KW
Hence refrigerator load is 5.74Kg

(COP)r = 238/53
(Cop) = 4.490

Therefore the above values are the (a) mass flow rate of the refrigerant, b) the refrigerant load, c) the cop, and d) the minimum power input to the compressor for the same refrigeration load.

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Many solderless connectors are color coded for the size of wire they are designd to work with. WHat size is indicated by the color blue?

Answers

Blue insulated connectors used for joining 1.1mm² – 2.5mm² cable sizes.

Green or green with a yellow stripe serves as the protective ground. The neutral wire is white, the hot single phase wires are black, and the second active wire is red. Red, black, and blue three-phase lines.

What is solderless connectors?

Solderless connections are ideal when high reliability is not required. Such as components that must be unplugged or replaced on a regular basis or that you anticipate changing in the near future.

Connector tension A solderless device is one that makes a mechanical connection between two or more conductors or between one or more conductors and a terminal without the use of solder.

Solderless strip connectors are used to connect LED strip lights without using solder. They work by inserting the strip into the connectors below. The strip's contact pads slide beneath the connector's contact prongs, completing the electrical circuit.

Strip connectors without soldering do not form a permanent electrical connection with the strip light. While the clasp's teeth do an adequate job of holding the strip in place, movement is still possible - and if there is a lot of it, the contact pads are likely to move away from the contact prongs and lose connection.

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You wish to assess, approximately, the thermal conductivity λ of polyethylene (PE). To do so you block one end of a PE pipe with a wall thickness of x = 3 mm and diameter of 30 mm and fill it with boiling water while clutching the outside with your other hand. You note that the outer surface of the pipe first becomes appreciably hot at a time t ≈ 18 seconds after filling the inside with water. Use this information, plus data for specific heat C p and density rho of PE, to estimate λ for PE. How does your result compare with the listed value in the CES EduPack?

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

The  value is \(\lambda  =  0.44 \  W/mK\)

The calculated value is greater than the value from the CES EduPack

(A picture of the listings of the CES EduPack is shown on the second uploaded image  )

Explanation:

From the question we are told that

     The distance x that the heat diffuses in the time t is approximately

      \(x =  \sqrt{2 at}\)

Where

     \(a =  \frac{lambda }{\rho *  C_p}\)

Now from the question we know that t =  18 s  and  x =  3mm  = 0.003 m,\(C_p  =  1850 \  J/kg/K\)

So  

    \(0.003 =  \sqrt{2 *  a  *  18 }\)

=>   \(a =  \frac{9*10^{-6}}{36}\)

=>    \(a =  2.5*10^{-7}\)

Generally the density of the polyethylene is  \(\rho =  950 kg/m^3\)

So

    \(2.5*10^{-7}  =  \frac{\lambda }{950 *  1850}\)

=>    \(\lambda  =  0.44 \  W/mK\)

From the CES EduPack the value  listed for thermal conductivity λ of polyethylene is

         \( 0.113 \to 0.167 \ W/mK \)

So the calculated value is greater that the value from the CES EduPack

You wish to assess, approximately, the thermal conductivity of polyethylene (PE). To do so you block
You wish to assess, approximately, the thermal conductivity of polyethylene (PE). To do so you block

which type of sequence uses input sensors to signal to the controller that each step in the sequence is complete

Answers

A feedback control sequence used input sensors to signal to the controller that each step in the sequence is complete.

How feedback control sequence uses input sensors?

The type of sequence that uses input sensors to signal to the controller that each step in the sequence is complete is called a feedback control sequence.

In this type of sequence, input sensors are used to provide feedback to the controller, which then adjusts its actions based on the information provided by the sensors. The feedback loop ensures that each step in the sequence is completed before moving on to the next step, which helps to improve the accuracy and reliability of the sequence.

An example of a feedback control sequence is a manufacturing assembly line, where sensors are used to detect when a component has been successfully installed before moving on to the next step. Another example is a robotic arm that uses sensors to detect when it has completed a particular movement before proceeding to the next step.

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raw sugar cane is taken into a process to create sugar, which is essentially sucrose. the raw cane is approximately 16% sucrose, 63% water, and the rest fiber by mass. juice from the cane is extracted by passing the cane through a series of crushers. about 5% extra mass of water is added to the sugar cane prior to this step to help in the extraction process. the crushed cane and liquid juice is sent to a filter press that creates a cake that contains 4% of the weight of the cane juice, which has a composition similar to the overall non-fiber content of the raw cane. the filtrate is sent to an evaporator where enough water is evaporated to obtain a pale yellow juice that is 41% water. a

Answers

The process of creating sugar from raw sugar cane involves several steps. First, the raw cane is passed through a series of crushers to extract the juice from the cane.

What is crusher?

A crusher is a machine designed to reduce large rocks into smaller rocks, gravel, or rock dust.

This step also adds about 5% extra mass of water to the sugar cane to help with the extraction process. The crushed cane and liquid juice are then sent to a filter press, which creates a cake containing 4% of the weight of the cane juice. This cake has a composition similar to the overall non-fiber content of the raw cane. The filtrate is then sent to an evaporator, where enough water is evaporated to obtain a pale yellow juice that is 41% water. Finally, the liquid is crystallized to produce sugar crystals, which are typically about 99.8% sucrose.

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