A single strain gauge with an unstrained resistance of 200 ohms and a gauge factor of 2, is used to measure the strain applied to a pressure diaphragm. The sensor is exposed to an interfering temperature fluctuation of +/-10 °C. The strain gauge has a temperature coefficient of resistance of 3x104 0/0°C!. In addition, the coefficient of expansion is 2x104m/m°C! (a) Determine the fractional change in resistance due to the temperature fluctuation. (3 marks) (b) The maximum strain on the diaphragm is 50000 p-strain corresponding to 2x105 Pascal pressure. Determine the corresponding maximum pressure error due to temperature fluctuation. (3 marks) (C) The strain gauge is to be placed in a Wheatstone bridge arrangement such that an output voltage of 5V corresponds to the maximum pressure. The bridge is to have maximum sensitivity. Determine the bridge components and amplification given that the sensor can dissipate a maximum of 50 mW. (6 marks) (d) Determine the nonlinearity error at P=105 Pascals (3 marks) (e) Determine the nonlinearity error and compensation for the following cases: (1) Increase the bridge ratio (r= 10), decrease the maximum pressure to half and use 2 sensors in opposite arms. (6 marks) m) Put 2 sensors in the adjacent arms with 1 operating as a "dummy" sensor to monitor the temperature. (2 marks) (in) Put 2 or 4 sensors within the bridge with 2 having positive resistance changes and 2 having negative resistance changes due to the strain. (2 marks)

Answers

Answer 1

Resistance is a fundamental electrical property that quantifies how strongly a material opposes the flow of electric current. It is represented by the symbol "R" and is measured in ohms (Ω).

The answers are:

a) The fractional change in resistance due to the temperature fluctuation is ΔR/R = 6/200 = 0.03 or 3%.

b) The corresponding maximum pressure error due to temperature fluctuation is 1.5% of the pressure range.

c) Amplification = Vout / Vin

(a) To determine the fractional change in resistance due to temperature fluctuation, we can use the temperature coefficient of resistance. The fractional change in resistance can be calculated using the formula:

ΔR/R = α * ΔT

where ΔR is the change in resistance, R is the initial resistance, α is the temperature coefficient of resistance, and ΔT is the temperature change.

Given:

Initial resistance (R) = 200 ohms

Temperature coefficient of resistance (α) = 3x10⁻⁴ / °C

Temperature fluctuation (ΔT) = +/-10 °C

Calculating the fractional change in resistance:

ΔR/R = α * ΔT

ΔR/200 = (3x110⁻⁴  / °C) * 10 °C

ΔR = (3x10⁻⁴ / °C) * 10 °C * 200

ΔR = 6 ohms

Therefore, the fractional change in resistance due to the temperature fluctuation is ΔR/R = 6/200 = 0.03 or 3%.

(b) The maximum strain on the diaphragm is given as 50000 µ-strain, which corresponds to a pressure of 2x10⁵ Pascal. To determine the corresponding maximum pressure error due to temperature fluctuation, we can use the gauge factor.

Given:

Gauge factor = 2

Maximum strain (ε) = 50000 µ-strain

The pressure corresponding to maximum strain (P) = 2x10⁵ Pascal

Calculating the maximum pressure error:

ΔP/P = (ΔR/R) / Gauge factor = (6/200) / 2 = 0.015 or 1.5%

The corresponding maximum pressure error due to temperature fluctuation is 1.5% of the pressure range.

(c) To determine the Wheatstone bridge components and amplification for maximum sensitivity, we need to consider the power dissipation limit of the sensor. The power dissipation limit is given as 50 mW.

Given:

Maximum power dissipation (Pmax) = 50 mW

We want the bridge to have maximum sensitivity, which occurs when the bridge is balanced at the maximum pressure.

Let Rg be the resistance of the strain gauge. To maximize sensitivity, we can choose the other three resistances (R1, R2, and R3) to be equal, such that R1 = R2 = R3 = R.

The bridge equation can be expressed as:

Vout = Vin * (Rg / (Rg + R)) * (R3 / (R1 + R3))

We want Vout to be 5V at maximum pressure. Therefore,

5V = Vin * (Rg / (Rg + R)) * (R3 / (R1 + R3))

To satisfy the power dissipation limit, we can set Rg = R and choose a value for R that satisfies the power equation:

R = sqrt(Pmax / (2 * Vin²))

The amplification factor can be calculated as:

Amplification = Vout / Vin

(d) To determine the nonlinearity error at P =10⁵ Pascals, we need the calibration curve or transfer function of the sensor. The nonlinearity error can be calculated as the difference between the actual output and the ideal linear output at the given pressure.

(e) The nonlinearity error and compensation for different cases can be analyzed by considering the effects of changing the bridge ratio, using multiple sensors, or introducing dummy sensors. The specific calculations and adjustments will depend on the details of each case and may require further information or specifications to provide accurate answers.

(m) In this case, by placing two sensors in adjacent arms with one operating as a "dummy" sensor to monitor the temperature, the effect of temperature fluctuations can be compensated for by comparing the resistance changes of the dummy sensor with the actual sensor. This allows for better temperature compensation and reduction of temperature-related errors.

(n) Placing two or four sensors within the bridge with two sensors having positive resistance changes and two having negative resistance changes due to strain can help improve linearity and reduce nonlinearity errors. By carefully selecting the resistance values and positions of the sensors, the overall response of the bridge can be adjusted to achieve better linearity and compensation for nonlinearity errors.

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Related Questions

Write a program that calculites and displays the areat of a triangle based on the user input values of the base and the height of a triangle.
Area =1/2 (base) ×( height )
Make sure your program asks the user his/her full name and then greet the user. After that, tell the user what the program is all about. The program will then ask the user to enter the base and the height of a tringle. The program will calculate and print the area of the triangle. Make sure to test your program with different input values. Below is an example of a running program: Welcome to my program. Please enter your full name: Jane Doe Hello, Jane Doe This program will ask you to enter the base and the height of a triangle. The program will calculate and print the area of the triangle. Enter base of triangle:
7.5
Enter height of triangle:
10.2
The area is:
38.25
Thank you and have a nice day. Good bye!

Answers

As a result, a triangle's area is equal to half the sum of its base and height. Triangle area equals base x height / 12.

Heron of Alexandria (c. 62 ce) is credited with developing the Heron's formula, which determines the system of a triangle in terms of the lengths of its sides. If the side lengths are represented by the symbols a, b, and c: Area is equal to the square root of (a + b + c)/2, where s is half the perimeter.

#include<stdio.h>  

                  int main()  

                  { float b ,h, area;  

           b= 5;  

                                      h= 13;  

           area = (b*h) / 2 ;  

 

           printf("\n\n Area of Triangle is: %f",area);  

                      return (0);  

   }  

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Which step in the reverse-engineering process involves the identification of subsystems and their relationship to one another?

Answers

The answer is analyze

Wastewater flows into a _________ once it is released into a floor drain.
A) HoseB) Covered containerC) Sump pitD) Bucket

Answers

Answer:

a

Explanation:

Wastewater flows into a sump pit once it is released into a floor drain.

For better understanding, lets understand what wastewater means

Wastewater are water that are not needed or have been use and therefore they are disposed. Waster water often contains waste product of man such as food waste,feaces etc.Sump is simply known as a basin into which groundwater is channeled to. A sump pit is commonly known as a temporary pit that is fixed to trap and filter water for carrying or pumping into a design discharge area.

From the above, we can therefore say that the answer that Wastewater flows into a sump pit once it is released into a floor drain is correct

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A cook uses a pair of twelve-inch-long tongs to remove a piece of chicken from the grill. The chef is applying 3 pounds of squeezing force to the tongs. If more than 1 pound of force is applied to the fish, it will break.

The AMA of the system (rounded to the nearest hundredth) is

.
Using the static equilibrium calculations, the tongs must be held
inches (rounded to the nearest whole number) away from the fulcrum to avoid damaging the fish.

Answers

Answer: yes because fish its like quick sand is will just fall apart into tiny pecies to now it want us to round to the nearst hundredth so what is 12 divide by 3 and time 1

12:3x1=4 because we are rounding to the nearst hundredth

=4

Explanation:

a toddler who can recognize herself in a mirror is more likely to be ________in her daycare class.

Answers

A toddler who can recognize herself in a mirror is more likely to be confident in her daycare class. Explanation: A toddler who can recognize herself in a mirror is more likely to be confident in her daycare class.

It shows that she is developing a sense of self-awareness and is more aware of her place in the world. This can lead to increased confidence and self-esteem, which can translate to better social skills and interactions with others in her daycare class.

In addition, the ability to recognize oneself in a mirror is an important developmental milestone that typically occurs around 18-24 months of age. This is an important sign of healthy cognitive and social-emotional development, and can have a positive impact on the child's overall well-being.

Overall, the ability to recognize oneself in a mirror is an important aspect of a toddler's development, and can have positive implications for their social, emotional, and cognitive growth.

It is a sign of increasing self-awareness and confidence, and can help children develop healthy relationships with others in their daycare class.

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a capacitor is being discussed. technician a says that a capacitor is used for electrical spike suppression. technician b says that a capacitor is used as a supplemental power source. which technician is correct?

Answers

The correct technician is technician A. A capacitor is used for electrical spike suppression. A capacitor is a device that is designed to store energy electrostatically in an electric field. The device consists of two conductors separated by an insulating medium, called the dielectric.

A dielectric is a substance that does not conduct electricity easily. A voltage spike, often known as an electrical spike, is a fast, brief surge in voltage that occurs in an electrical circuit. The spike can last anywhere from a few nanoseconds to a few microseconds. Electrical spike suppression is the method of protecting sensitive electronic equipment from voltage surges using a device known as a transient voltage suppressor (TVS).

A capacitor is used to store an electrical charge, but it can also be utilized in a number of other ways, such as the following: In a filter circuit, a capacitor is used to pass or block DC signals, allowing only AC signals to pass through. A capacitor can be used to smooth out the output of a DC power supply by filtering out ripple and other noise. A capacitor can be used in a timing circuit to control the amount of time that a circuit element is switched on or off.

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principles of statistics for engineers and scientists by william navidi

Answers

The book Principles of Statistics for Engineers and Scientists by William Navidi introduces the fundamental concepts of statistical methods.

It is written in a clear and easy-to-understand language and is suitable for both engineers and scientists.

This principle involves the use of numerical and graphical methods to summarize data. Measures of central tendency such as mean, median and mode are used to describe the center of a data set.

Measures of variation such as range, variance and standard deviation are used to describe the spread of a data set

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Do heavier cars really use more gasoline? Suppose a car is chosen at random. Let x be the weight of the car (in hundreds of pounds), and let y be the miles per gallon (mpg)

Answers

Answer:

Answer is explained in the explanation section below.

Explanation:

Solution:

Note: This question is incomplete and lacks necessary data to solve. But I have found the similar question on the internet. So, I will be using the data from that question to solve this question for the sack of concept and understanding.

Data Given:

x = 27 , 44 , 32 , 47, 23 , 40, 34, 52

y = 30, 19,  24,  13 , 29,  19,  21,  14

It is given that,

∑x = 299

∑y = 167

∑\(x^{2}\) = 11887

∑\(y^{2}\) = 3773

We are asked to verify the above values manually in this question.

So,

1. ∑x = 299

Let's verify it:

∑x = 27 + 44 + 32 + 47 + 23 + 40 + 34 + 52

∑x = 299

Yes, it is equal to the given value. Hence, verified.

2. ∑y = 167

Let's verify it:

∑y = 30 + 19 +  24 + 13 + 29 + 19 +  21 +  14

∑y = 169

No, it is not equal to the given value.

3. ∑\(x^{2}\) = 11887

Let's verify it:

For this to find,  first we need to square all the value of x individually and then add them together to verify.

∑\(x^{2}\) = \(27^{2}\) + \(44^{2}\) + \(32^{2}\) + \(47^{2}\) + \(23^{2}\) + \(40^{2}\) + \(34^{2}\) + \(52^{2}\)

\(x^{2}\) = 11,887

Yes, it is equal to the given value. Hence, verified.

4. ∑\(y^{2}\) = 3773

Let's verify it:

Again, for this we need to find the squares of all the y values and then add them together to verify it.

∑\(y^{2}\) = \(30^{2}\) + \(19^{2}\) +  \(24^{2}\) + \(13^{2}\) + \(29^{2}\) + \(19^{2}\) +  \(21^{2}\) +  \(14^{2}\)

\(y^{2}\)  = 3,845

No, it is not equal to the given value.

if you set up a rig using meriam red oil as the manometer fluid, determine the amplification factor that will be seen in the rig

Answers

When you set up a rig using Meriam Red oil as the manometer fluid, the amplification factor that will be seen in the rig can be determined as follows:What is Manometer?A manometer is a device that is used to measure the pressure of fluids.

A manometer typically comprises a U-shaped tube filled with a fluid, either mercury or water. When the pressure in the fluid being tested increases, the fluid in the tube moves, and the height difference between the two fluid columns in the tube indicates the difference in pressure between the fluid being tested and atmospheric pressure.Amplification FactorThe amplification factor is a measure of the degree of amplification of a system. It refers to the ratio of the output signal of a system to the input signal of that system. It is usually measured in decibels (dB).The amplification factor can be calculated using the following formula:Amplification Factor = h2/h1where h1 is the height of the fluid column on one side of the U-tube and h2 is the height of the fluid column on the other side of the U-tube.Meriam Red OilAs per the given information, Meriam Red oil is used as the manometer fluid.

The specific gravity of Meriam Red oil is 0.81.The amplification factor can be calculated as follows:Amplification Factor = h2/h1The difference in the height of the fluid columns in the U-tube is 10 cm.The pressure difference can be calculated as follows:P = ρghwhere P is the pressure difference, ρ is the density of the fluid, g is the acceleration due to gravity, and h is the height difference.P = (0.81 x 1000 x 9.81 x 0.1) Pa = 797.61 PaTherefore, the amplification factor is:Amplification Factor = h2/h1 = 10/0.79761 = 12.53The amplification factor that will be seen in the rig is 12.53.

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what is the electric potential energy of the system of charges? select all that apply

Answers

The configuration is connected to electric potential energy, which is a potential energy (measured in joules) resulting from conservative Coulomb forces.

What is the system of charges' electric potential energy?

The total effort performed by an external agent to bring a specific charge or system of charges from infinity to the current configuration without acceleration is referred to as the electric potential energy of that charge or system of changes.

What does a system of particles' electric potential energy mean?

The effort necessary to assemble a system of point charges by bringing them close together, as in the system from an infinite distance, is known as the electric potential energy of the system.

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Motor Size Selection
Example:
A conveyor belt is connected a motor through a belt-pulley
mechanism to transfer a load at a predefined maximum speed
as shown in the following figure. The system specifications are
listed in Table 1. For this system, answer the following
questions:
1. Generate and draw the proposed speed and acceleration
profiles.
2.
Calculate the system total inertia (referred to the motor side).
3. Calculate the required maximum motor torque.
4. Calculate the required rated torque.
5.
6.
Draw the load Speed-Torque curve.
Select the best motor type for this application.
7. Select the best motor model from Table 2.

Motor Size SelectionExample:A conveyor belt is connected a motor through a belt-pulleymechanism to transfer

Answers

Not delta airlines. They are bad. One hour into the flight and they did a whole backflip and everyone flew out of the plane into a volcano and I survived because of my flintstone vitamins

Question 1 The World Wide Web (WWW) is an information system that does which of the following?

Allows access to resources over the internet.
O Uses URLs to identify websites and documents it stores.
O imposes standard restrictions on the websites it stores.
O All of the answers are correct.​

Answers

The World Wide Web (WWW) is an information system that allows access to resources over the internet, uses URLs to identify websites and documents it stores and imposes standard restrictions on the websites it stores.

For what is the World Wide Web famous?

Everyone, not just researchers, now has access to the internet thanks to the world wide web. It connected the world in a way that greatly facilitated communication, sharing, and information access. Since then, technology has enabled people to share their ideas and works via blogs, social networking sites, video sharing, and other channels.

By the year 1989, Tim Berners-Lee had created the internet. He was looking for a fresh method for researchers to quickly exchange the results of their tests. Because of the web, this data could be shared across computers that were online.

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What is the link between fossil fuel use and flowers blooming earlier in the spring season

Answers

Answer:

a warmer earth due to fossil fuel emissions has milder winters and earlier springs

Explanation:

fossil fuels cause global warming which would make the winters less cold and spring and summer hotter.

A continuous and aligned fiber-reinforced composite is to be produced consisting of 30 vol% aramid fibers and 70 vol% of a polycarbonate matrix; mechanical characteristics of these two materials are as follows:
Modulus of Elasticity [GPa] Tensile Strength [MPa] Aramid fiber 131 3600 Polycarbonate 2.4 65
Also, the stress on the polycarbonate matrix when the aramid fibers fail is 45 MPa. For this composite, compute the following:
(a) the longitudinal tensile strength, and
(b) the longitudinal modulus of elasticity

Answers

Answer:

1. 1111.5MPa

2. 56.1GPa

Explanation:

1. Longitudinal tensile stress can be obtained by obtaining the strength and volume of the fiber reinforcement. The derived formula is given by;

σcl = σm (1 - Vf) + σfVf

Substituting the figures, we will have;

45(1 - 0.30) + 3600(0.30)

45(0.70) + 1080

31.5 + 1080

= 1111.5MPa

2. Longitudinal modulus of elasticity or Young's modulus is the ability of an object to resist deformation. The derived formula is given by;

Ecl = EmVm + EfVf

Substituting the formula gives;

= 2.4 (1 - 0.30) + 131 (0.30)

= 2.4(0.70) + 39.3

= 16.8 + 39.3

= 56.1GPa

Using the appropriate relation, the longitudinal tensile stress and the longitudinal modulus are 1111.50 and 56.10 respectively.

Longitudinal tensile stress can be obtained using the relation :

σcl = σm (1 - Vf) + σfVf

Substituting the values into the relation:

45(1 - 0.30) + 3600(0.30)

45 × 0.70 + 1080

31.5 + 1080

= 1111.50 MPa

2.)

Longitudinal modulus of elasticity is obtained using the relation :

Ecl = EmVm + EfVf

Substituting the values thus :

2.4 (1 - 0.30) + 131 (0.30)

= 2.4 × 0.70 + 39.3

= 16.8 + 39.3

= 56.10 GPa

Hence, the longitudinal tensile stress and the longitudinal modulus are 1111.50 and 56.10 respectively.

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The x and y components of a velocity field are given by u = x^2y and v = -xy^2. Determine the equation for the streamlines of this flow and compare it with those in Example 4.2. Is the flow in this problem the same as that in Example 4.2? Explain

Answers

Given, The x and y components of a velocity field are given by u = x²y and v = -xy². The stream function is given by the equation:

ψ = ∫(-vdx + udy)ψ

= ∫(xy²dx + x²ydy)ψ

= x²y²/2

From the above equation, we can write the equation of streamlines as follows :ψ = x²y²/2 = constant ... (1)

Comparing this with Example 4.2 of the textbook, we can see that it is the same equation as that of the Example 4.2. Therefore, the flow in this problem is the same as that in Example 4.2. In Example 4.2, we were given the velocity potential as φ = x²y - xy²/2. Using the Laplace equation, we found the stream function ψ as ψ = x²y²/2.

Hence, the streamlines were given by the equation ψ = x²y²/2 = constant.Hence, the equation for the streamlines of this flow is ψ = x²y²/2.

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A 0.796-mH inductor produces an inductor reactance of 50 ohms at 10 kHz what value of capacitance will be needed to produce a resonant circuit at this frequency

Answers

The value of capacitance will be needed to produce a resonant circuit at this frequency is 79.6.

What is meant by capacitance?A material substance or device's capacity to store electric charge is known as its capacitance. It is determined by calculating the ratio between those two variables and measuring the change in charge in response to an alteration in electric potential. Depending on how much separated electric charge can be stored on it for each unit change in electrical potential, an electric conductor or collection of conductors has a property known as capacitance.Associated electrical energy storage is also implied by capacitance. As an illustration, if a capacitor with a capacitance of 3 farads is connected to a 5-volt battery, each conducting plate would have a charge of q = CV or q = (3 farads)x(5 volts) = 15 Coulombs of charge.

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If another person holds the base of a​ stepladder, it is safe to stand on the top step.

Answers

It is not safe to stand on the top step of a stepladder, even if someone is holding the base. The top step is not designed to bear weight and can lead to instability, causing the ladder to tip over.

It is crucial to follow the ladder's safety guidelines and use it as intended, ensuring all steps are used and the ladder is properly stabilized to prevent accidents and injuries.

When someone holds the base of a stepladder, it can provide some additional stability, but it does not make standing on the top step safe. The top step of a stepladder is not designed to bear weight, and it can be dangerously unstable. Even with someone holding the base, there is still a risk of the ladder tipping over, leading to a fall or injury. To ensure safety, it is important to follow the ladder's guidelines, which typically recommend using all steps and maintaining proper stability, such as securing the ladder against a sturdy surface or using

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In the vector class: 1. The function begin() refers to one position BEFORE the first element in the vector. 2. The function end() refers to one position AFTER the last element in the vector. O 1. False 2. True O 1. True 2. False O 1. False 2. False O 1. True 2. True

Answers

The function begin() refers to the first element in the vector, and the function end() refers to one position after the last element in the vector. Therefore, the correct answer is (2) True, (2) True.

Statement 2 is true because the function end() in the vector class refers to one position after the last element in the vector. It returns an iterator pointing to the imaginary element following the last element in the vector. This is often used as an indicator to determine the end of a range when iterating through the vector. Statement 1 is false because the function begin() in the vector class refers to the first element in the vector, not one position before it. The function begin() returns an iterator pointing to the first element of the vector. It provides access to the beginning of the vector for iteration or other operations.

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While completing your homework, imagine the study space you are using employs a space heater with a rating of 30 kW, a refrigerator (for snacks) that is rated for 5 kW, and a light fixture with two 100 W bulbs, all operating at a constant rate for the 1.5 h it takes you to finish.
A. What is the total power consumed at any given moment?
B. How much energy do you consume to complete the task?
C. Assume the utility company charges 6.5 cents per unit of energy in part b, how much did it cost you to complete the assignment?
D. If you were willing to pay the utility company $5, what would be the power rating of an additional appliance you could add to your study space?

Answers

Answer:

a) The total power consumed at any given moment is 35.2 kilowatts.

b) The energy consumed to complete the task is 48.75 kilowatt-hours.

c) The cost for completing the assignment is 3.168 US dollars.

d) 16.082 kilowatts of power rating could be added to the study space.

Explanation:

a) Let suppose that all appliance work simultaneously. The total power consumed (\(\dot W\)), measured in kilowatts, is the sum of the power of the space heater, the refrigerator and the two light bulbs:

\(\dot W = 30\,kW+5\,kW+0.2\,kW\)

\(\dot W = 35.2\,kW\)

The total power consumed at any given moment is 35.2 kilowatts.

b) A common unit to quantify the energy consumption (\(E\)) is the kilowatt-hour, which is obtained by multiplying the total power consumed, measured in kilowatts, by the operation time (\(\Delta t\)), measured in hours. If we know that \(\dot W = 35.2\,kW\) and \(\Delta t = 1.5\,h\), then the energy consume to complete the task is:

\(E= \dot W \cdot \Delta t\) (1)

\(E = (35.2\,kW)\cdot (1.5\,h)\)

\(E = 48.75\,kWh\)

The energy consumed to complete the task is 48.75 kilowatt-hours.

c) The total cost (\(C\)), measured in US dollars, is determined by multiplying the energy consumed by the unit cost (\(c\)), measured in US dollars per kilowatt-hour, That is: (\(c = 0.065\,\frac{USD}{kWh}\), \(E = 48.75\,kWh\))

\(C = c\cdot E\) (2)

\(C = \left(0.065\,\frac{USD}{kWh} \right)\cdot (48.75\,kWh)\)

\(C = 3.168\,USD\)

The cost for completing the assignment is 3.168 US dollars.

d) If we know that \(C = 5\,USD\), \(c = 0.065\,\frac{USD}{kWh}\) and \(\Delta t = 1.5\,h\), then the energy and power consumed are, respectively:

\(E = \frac{C}{c}\)

\(E = \frac{5\,USD}{0.065\,\frac{USD}{kWh} }\)

\(E = 76.923\,kWh\)

\(\dot W = \frac{E}{\Delta t}\)

\(\dot W = \frac{76.923\,kWh}{1.5\,h}\)

\(\dot W = 51.282\,kW\)

And the additional appliance is:

\(\Delta \dot W = 51.282\,kW-35.2\,kW\)

\(\Delta \dot W = 16.082\,kW\)

16.082 kilowatts of power rating could be added to the study space.

An engineer places a small sample of a material on a horizontal disk whose surface is made of another material and then rotates the disk from rest with a constant angular acceleration of 4 rad/s2. Assuming that the coefficient of static friction between the sample and disk is 0. 2, what is the angular velocity of the disk at the time instant when the sample starts slipping on the disk?.

Answers

The critical value of the angular velocity obtained just before the slipping starts is the answer to this question and it is \(\bold{\omega = \sqrt{\frac{\mu.g}{r}}}\).

Let's consider the sample to be a point object.There are 2 forces acting upon the sample when it is on the plane and rotating: the normal force from the plane and the friction force directed to the centre of the rotating axis.This friction force provides the centripetal force needed to continue the rotation on the disk keeping itself at rest on the disk relative to it.The reason for a slip is due to the lacking of this friction so that it is no longer capable of providing the required amount of centripetal force in the form of friction.The maximum friction is simply \(f_{max} = \mu_s.R\) where \(R\) is the normal force on the sample and \(\mu_s\) the coefficient of static friction. By the vertical equilibrium \(R = mg\) and that gives \(f_{max} = \mu_s. mg\)The proper condition to continue the rotation without slipping is as follows and the critical value of angular velocity can be found from it.

                                         \(\begin{aligned}\\\\F &= ma\\\\f_{max} &\geq ma\\\\ \mu_s.mg &\geq m.r\omega^2\\\\\omega &\leq \sqrt{\frac{\mu_sg}{r}}\\\\\omega_{critical} &= \sqrt{\frac{\mu_sg}{r}}\end{aligned}\)

The critical angular velocity depends only on these parameters and for a given system it is dependent on where it is primarily placed from the centre of rotation (this question lacks this piece of data by the way).So this is the answer to this question and with the data for the constant angular acceleration, you can calculate how long it would take from the startup or how many rotations it would take until the point of slipping.For that, you can employ the formulae  \(\omega = \omega_0+\alpha.\Delta t\) and \(\omega^2 = \omega^2_0+2\alpha .\Delta \theta\) respectively by putting \(\omega = \omega_{critical}\).

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1.3. If the surface tension coefficient of a fluid is 0,07 N/m and the radius
of the droplet is 2,5 mm. calculate:
1.3.1 surface tension force
(2)
1.3.2 difference in pressure of the droplet
(1)​

Answers

Answer:

A) F = 0.011 N

B) ΔP = 5.6 N/m²

Explanation:

We are given;

surface tension coefficient; S = 0.07 N/m

Radius; r = 2.5 mm = 0.025 m

A) Formula to find the surface tension force(F) is given by;

F = SL

Where L is effective length = 2πr

F = 0.07 × 2π × 0.025

F = 0.011 N

B) Formula for difference in pressure droplet is;

ΔP = 2S/r

Thus;

ΔP = (2 × 0.07)/0.025

ΔP = 5.6 N/m²

A___________combines the function of a video camera and a sound recorder.

Answers

Answer:

A video camera with onboard storage(whether is a tape or digital memory) will record sound

Which is a common refrigerant for domestic air conditioners?

Answers

Answer:

Explanation:

The most common HFC used in air conditioners is R-410A. This refrigerant is better than R-22 in terms of “Ozone Depletion” potential and energy efficiency, but it still causes global warming. A few more HFCs that are commonly used are: R-32 in Air Conditioners and R-134A in refrigerators.

Answer:

The most common refrigerants used for air conditioning over the years include

Explanation:

The most common refrigerants used for air conditioning over the years include.

According to NFPA 72, which type of alarm is caused by improper installation of an alarm system?

Answers

Answer:

The highly regarded NFPA 72 standard serves as a comprehensive guide for the installation, testing, and maintenance of fire alarm systems across the United States. This standard provides detailed requirements and recommendations to ensure that alarm systems are capable of notifying building occupants of a fire emergency and averting potential harm. One key aspect of the NFPA 72 standard is the identification of the type of alarm that may result from improper installation of an alarm system.

As outlined by the NFPA 72 standard, the type of alarm that may occur due to poor installation is a nuisance alarm. A nuisance alarm is a false alarm that is triggered when there is no actual danger present. Nuisance alarms can be caused by an overly sensitive detection system, incorrect installation of the sensors, or poor system design. These alarms can disrupt building occupants and reduce the effectiveness of the fire alarm system, leading to complacency in the face of a real emergency. Therefore, it is vital to ensure proper installation of fire alarm systems to minimize the occurrence of nuisance alarms and maintain the reliability of the alarm system.

In summary, following the NFPA 72 standard for the installation and maintenance of fire alarm systems is critical to ensure the safety of building occupants in the event of a fire. Proper installation of the alarm system is essential to prevent nuisance alarms, which can disrupt occupants and lead to complacency in the face of a real emergency. By adhering to the guidelines established in this standard, building owners and managers can guarantee that their fire alarm systems will be effective in alerting occupants to potential danger and reducing the risk of injuries, fatalities, and property damage.

Answer:

The highly regarded NFPA 72 standard serves as a comprehensive guide for the installation, testing, and maintenance of fire alarm systems across the United States. This standard provides detailed requirements and recommendations to ensure that alarm systems are capable of notifying building occupants of a fire emergency and averting potential harm. One key aspect of the NFPA 72 standard is the identification of the type of alarm that may result from improper installation of an alarm system.As outlined by the NFPA 72 standard, the type of alarm that may occur due to poor installation is a nuisance alarm. A nuisance alarm is a false alarm that is triggered when there is no actual danger present. Nuisance alarms can be caused by an overly sensitive detection system, incorrect installation of the sensors, or poor system design. These alarms can disrupt building occupants and reduce the effectiveness of the fire alarm system, leading to complacency in the face of a real emergency. Therefore, it is vital to ensure proper installation of fire alarm systems to minimize the occurrence of nuisance alarms and maintain the reliability of the alarm system.In summary, following the NFPA 72 standard for the installation and maintenance of fire alarm systems is critical to ensure the safety of building occupants in the event of a fire. Proper installation of the alarm system is essential to prevent nuisance alarms, which can disrupt occupants and lead to complacency in the face of a real emergency. By adhering to the guidelines established in this standard, building owners and managers can guarantee that their fire alarm systems will be effective in alerting occupants to potential danger and reducing the risk of injuries, fatalities, and property damage.

question 26 what is the output resistance of the two stage amplifier not including the 50 ohm load resistance?

Answers

In conclusion, the output resistance of the two-stage amplifier, not including the 50-ohm load resistance, is mainly determined by the resistance in the emitter circuit of the second stage (Re2). This resistance can significantly affect the overall output resistance of the amplifier.

The output resistance of a two-stage amplifier can be calculated by analyzing the individual stages and their interactions. Since the load resistance of 50 ohms is not included in this calculation, we can focus solely on the amplifier itself.
To determine the output resistance, we need to examine the first stage, which is typically a voltage amplifier, and the second stage, which is commonly a current amplifier. The output resistance of the two stages can be calculated separately, and then combined.
1. First Stage: The output resistance of the voltage amplifier is determined by the resistance in its collector circuit. Let's say the collector resistance is denoted as Rc1.
2. Second Stage: The output resistance of the current amplifier is influenced by the resistance in its emitter circuit. Let's denote this resistance as Re2.
Now, to find the combined output resistance:
1. Connect the output of the first stage to the input of the second stage.
2. Since the input impedance of the second stage is typically much higher than Rc1, we can ignore the effect of Rc1 on the overall output resistance.
3. However, Re2 has a significant impact on the output resistance.
4. The combined output resistance (Ro) is approximately equal to Re2.
In conclusion, the output resistance of the two-stage amplifier, not including the 50-ohm load resistance, is mainly determined by the resistance in the emitter circuit of the second stage (Re2). This resistance can significantly affect the overall output resistance of the amplifier.

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When your workplace obtains new materials, you should add them to the chemical list:

Answers

Answer:

immediately

Explanation:

Tech A says drivability technicians diagnose emissions problems on vehicles. Tech B says drivability technicians diagnose performance problems in vehicles. Who is correct

Answers

Both Tech A and Tech B are correct. Drivability technicians diagnose both emissions problems and performance problems in vehicles.

Drivability technicians specialize in diagnosing and resolving issues related to the performance and emissions of vehicles. They have the expertise to identify and address problems that affect the drivability and overall functioning of a vehicle. These technicians utilize various diagnostic tools and techniques to pinpoint the root causes of issues and provide appropriate solutions.

Tech A is correct in stating that drivability technicians diagnose emissions problems. They are trained to identify and troubleshoot issues related to a vehicle's emissions system, including components such as the catalytic converter, oxygen sensors, and exhaust gas recirculation (EGR) system. Their knowledge of emissions regulations and diagnostic procedures helps them effectively diagnose and repair emission-related problems.

Tech B is also correct in stating that drivability technicians diagnose performance problems. These technicians have a deep understanding of a vehicle's engine, fuel system, ignition system, and other components that contribute to its performance. They are skilled at identifying issues that can affect performance, such as misfires, poor acceleration, rough idle, or lack of power, and they can diagnose and resolve these problems to restore optimal performance.

In conclusion, both Tech A and Tech B are correct, as drivability technicians are responsible for diagnosing both emissions problems and performance problems in vehicles.

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How might an operations manager alter operations to meet customer demand? Name at least two ways.

Answers

Answer:

Some ways that an operations manager may alter operations to meet customer demand include understanding who the customer is (this could be conducted through surveys and feedback opportunities for the customer) and making stock demand be more efficient to meet customer demand.

Complete the following two statements regarding quantum-mechanical concepts associated with the Bohr model of the atom and refinements that resulted from the wave- mechanical atomic model.
Two important quantum-mechanical concepts associated with the Bohr model of the atom are that eledtrons are particles moving in _________ electron energy is quantized into
(b) Two important refinements resulting from the wave-mechanical atomic model are that the electron position is described in terms of a ______ electron energy is quantized into both shells and subshells--each electron is characterized by ________, and ______ , and quantum numbers.

Answers

I hope u can see it
Complete the following two statements regarding quantum-mechanical concepts associated with the Bohr

4. Workers can be exposed to blood or other potentially infectious materials
(OPIM) if it splashes into their
A. Eye
B. Nose
C. A Mouth
D. All of the above

Answers

the answer should be all of the above,

exposure incident means a specific eye, mouth, other mucous membrane, non-intact skin, or parenteral contact with blood or other potentially infectious material
The answer to the question is is D
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