If technology advances, then: A. same output can be obtained from less inputs. B. same output can be obtained through same inputs C. less output can be obtained through more inputs D. more output can be obtained through more inputs.

Answer:

a) \(\mathbf{Q_c = -3730.8684 \ Btu/hr}\)

b) \(\mathbf{\sigma _c = 4.3067 \ Btu/hr ^0R}\)

Explanation:

From the properties of Super-heated Refrigerant 134a Vapor at \(T_1 = 40^0 F\), \(P_1 = 30 \ lbf/in^2\) ; we obtain the following properties for specific enthalpy and specific entropy.

So; specific enthalpy \(h_1 = 109.12 \ Btu/lb\)

specific entropy \(s_1 = 0.2315 \ Btu/lb.^0R\)

Also; from the properties of saturated Refrigerant 134 a vapor (liquid - vapor). pressure table at \(P_2 = 160 \ lbf/in^2\) ; we obtain the following properties:

\(h_2 = 115.91 \ Btu/lb\\\\ s_2 = 0.2157 \ Btu/lb.^0R\)

Given that the power input to the compressor is 2 hp;

Then converting to  Btu/hr ;we known that since 1 hp = 2544.4342 Btu/hr

2 hp = 2 × 2544.4342 Btu/hr

2 hp = 5088.8684 Btu/hr

The steady state energy for a compressor can be expressed by the formula:

\(0 = Q_c -W_c+m((h_1-h_e) + \dfrac{v_i^2-v_e^2}{2}+g(\bar \omega_i - \bar \omega_e)\)

By neglecting kinetic and potential energy effects; we have:

\(0 = Q_c -W_c+m(h_1-h_2) \\ \\ Q_c = -W_c+m(h_2-h_1)\)

\(Q_c = -5088.8684 \ Btu/hr +200 \ lb/hr( 115.91 -109.12) Btu/lb \\ \\\)

\(\mathbf{Q_c = -3730.8684 \ Btu/hr}\)

b)  To determine the entropy generation; we employ the formula:

\(\dfrac{dS}{dt} =\dfrac{Qc}{T}+ m( s_1 -s_2) + \sigma _c\)

In a steady state condition \(\dfrac{dS}{dt} =0\)

Hence;

\(0=\dfrac{Qc}{T}+ m( s_1 -s_2) + \sigma _c\)

\(\sigma _c = m( s_1 -s_2) - \dfrac{Qc}{T}\)

\(\sigma _c = [200 \ lb/hr (0.2157 -0.2315) \ Btu/lb .^0R - \dfrac{(-3730.8684 \ Btu/hr)}{(40^0 + 459.67^0)^0R}]\)

\(\sigma _c = [(-3.16 ) \ Btu/hr .^0R + (7.4667 ) Btu/hr ^0R}]\)

\(\mathbf{\sigma _c = 4.3067 \ Btu/hr ^0R}\)

The Huffman tree construction and code generation can be done programmatically using algorithms like priority queues and recursive tree traversal. The example above demonstrates the manual process of building the tree and assigning codes for illustration purposes.

To determine the Huffman code for the string "TELEMETERSTEREO", we need to follow these steps:

Step 1: Calculate the frequency of each character in the string.

T: 2

E: 5

L: 1

M: 1

R: 1

S: 1

O: 1

Step 2: Build a Huffman coding tree based on the character

requencies.

We start by creating nodes for each character with their corresponding frequencies:

```

    12

   /  \

  /    \

 T: 2   E: 5

```

Next, we merge the two nodes with the lowest frequencies into a parent node with a frequency equal to the sum of their frequencies:

```

    12

   /  \

  /    \

 T: 2   E: 5

      /   \

     /     \

    L: 1   M: 1

```

We repeat this process until we have a single root node:

```

     12

    /  \

   /    \

  5      7

 / \    / \

 E: 5  2   5

     /  \  \

    L: 1 M: 1

          / \

         R: 1 S: 1

               \

               O: 1

```

Step 3: Traverse the Huffman tree to assign binary codes to each character.

Starting from the root node, we assign "0" to left branches and "1" to right branches. We follow the path to each character and record the corresponding binary code:

```

T: 0

E: 10

L: 1100

M: 1101

R: 1110

S: 1111

O: 11101

```

This gives us the Huffman table with the binary codes for each character.

Huffman Table:

```

T: 0

E: 10

L: 1100

M: 1101

R: 1110

S: 1111

O: 11101

```

The Huffman code for the string "TELEMETERSTEREO" is:

```

0 10 1100 10 10 1110 10 1111 1110 0 11101

```

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Answer:

pakipic na lang po question nyo para masagot po

Explanation:

please po di ko masyado gets po e

it is simple the title name after all it is just asking your name

Answer:

You could send each person one half of the coordinates of the secret location, such as "110th street" to one person and "2nd avenue" to the other person. This way, they would need to work together to share their information and determine the exact location of the intersection.

This approach ensures that neither person can find the location on their own, as they only have half of the information needed to determine the intersection. Additionally, sharing the coordinates separately adds an extra layer of security to the meeting location as it would be difficult for anyone to determine the meeting location without both pieces of information.

However, it's important to ensure that each person understands the instructions clearly, so they know to work together to determine the secret location. It's also important to choose a location that is not well-known, so the possibility of someone stumbling upon the meeting location by chance is reduced.

Explanation:

The code chunk that lets you select the three variables is flavors df%>% trimmed flavors df%>%

Add the code chunk that allows you to choose between the three variables.

The firm's location France is listed in the first row of your tibble.

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On roadways with streetcar lines and one-way streets where parking is prohibited on the right side.

Unless otherwise indicated, the maximum speed allowed on U.S. military sites is 30 kph (18 mph). Different speed limits apply to buses, trucks, and vehicles pulling trailers. Some crossroads and roads have cameras set up to catch motorists who are speeding or running red lights. According to German legislation, you are permitted to pass moving German buses that have their warning lights on and are en route to a bus stop. US Forces registration privileges may be revoked for failure to carry first aid kits or warning triangles. state of the highway and speed of travel. Drivers must attempt to predict children's behavior as they approach.

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Answer:

468

Explanation:

Answer:

When a force is exerted on an object it can change the object's speed, direction of movement or shape. Pressure is a measure of how much force is acting upon an area. Pressure can be found using the equation pressure = force / area. Therefore, a force acting over a smaller area will create more pressure

Explanation:

hope it will become helpful to you ☺️☺️

The tatal resistance of the series-parallel circuit with two resistor connected in parallel which combination is connected in series to a single resistor is 9 ohms.

This can be defined as the opposition to current flow in a circuit.

To calculate the total resistance, first we need to find the total resistance of the parallel resistor.

For parallel,

Where:

R' = Total resistance of the parallel resistor.

From the question,

Given:

Substitute these values into equation 1

Finally, we combine the effective parallel resistance in series to the single resistance to the the total resistance of the circuit.

Where:

From the question,

Substitute these values into equation 2

Hence, the total resistance of the circuit is 9 ohms.

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Answer:

volunteer coordinator

Explanation:

because they are volunteering for that and in most of the cases they do not expect to be paid

Answer:

For a 1 kWh, heat supplied for the cost of furnace is = $1.66 *1 0^-5 /kJ * 3600 =$0.06/kWh.

Therefore, supplied heat for natural gas furnace is $0.06/kWh which is lower than $0.12/kWh cost of electricity of refrigerator.

Explanation:

Solution

Given that:

The thermal efficiency of furnace = 0.8 or 80%

The cop of refrigerant COP = 3.5

The unit cost of electricity for refrigerant is =$ 0.12kWh

The unit cost of natural gas of furnace is = $1.40/therm

1 therm = 105,500 kJ

Now,

In the summer the usage or utilization of lightening in the house will be lesser than winter, hence the total cost of energy used in the household will be decreased.

Thus,

In winter, the utilization of lightening will be higher with regards to electricity

For a natural gas furnace it is given below:

The unit cost =$1.40/ηth (I therm/105,500)

= 1.40/0.8 (I therm/105,500)

= $1.66 *1 0^-5 /kJ

For a 1 kWh, heat supplied for the cost of furnace is = $1.66 *1 0^-5 /kJ * 3600 =$0.06/kWh.

So,for the heat supplied for natural gas furnace is $0.06/kWh which is less er than $0.12/kWh cost of electricity of refrigerator.

Therefore, the efficiency of energy lightning will reduce the total energy cost of the building both in winter and summer.

Answer:

Parasite drag and induced drag.

The vectors are magnitude of vector v is 5. The sum of vectors v1 and v2 is (+) = (2, 1, 8).  The difference between vectors v1 and v2 is (-) = (6, -1, -2). The scalar multiple of vector v1 by 3 is 3(2, 0, 3) = (12, 0, 9).

To find the magnitude (||) of a vector, we can use the formula:

||v|| = sqrt(v1^2 + v2^2 + v3^2)

Given vector v = (4, 0, 3), we can calculate its magnitude as follows:

||v|| = sqrt(4^2 + 0^2 + 3^2)

     = sqrt(16 + 0 + 9)

     = sqrt(25)

     = 5

Therefore, the magnitude of vector v is 5.

Now, let's find the sum (+) and difference (-) of the given vectors.

Given vectors v1 = (4, 0, 3) and v2 = (-2, 1, 5), the sum of these vectors is calculated by adding the corresponding components:

v1 + v2 = (4 + (-2), 0 + 1, 3 + 5)

       = (2, 1, 8)

The difference between the vectors is found by subtracting the corresponding components:

v1 - v2 = (4 - (-2), 0 - 1, 3 - 5)

       = (6, -1, -2)

Lastly, let's calculate the scalar multiple of vector v1:

3v1 = 3(4, 0, 3)

   = (12, 0, 9)

Therefore, the vectors are as follows:

- The magnitude of vector v is 5.

- The sum of vectors v1 and v2 is (+) = (2, 1, 8).

- The difference between vectors v1 and v2 is (-) = (6, -1, -2).

- The scalar multiple of vector v1 by 3 is 3(2, 0, 3) = (12, 0, 9).

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Given sentence'' Technician B says pedal force is transmitted by hydraulic pressure generated in the master cylinder'' is correct. Technician B is correct.

Technician B is correct. The brake pedal is connected to the master cylinder through a hydraulic system, which transmits the force generated by the pedal to the brake calipers or drums. A technician is a skilled employee who repairs, installs, replaces, and services various types of equipment and systems. Each day, a technician spends time tackling different tasks, depending on the issue, such as analyzing problems, running tests, and repairing equipment. The force on the pedal creates pressure in the master cylinder, which in turn activates the brakes through the hydraulic lines. There is no direct mechanical linkage between the brake pedal and the wheels in modern vehicles.

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The defining feature of the Metaverse is that it is Virtual. This is its a most distinctive feature. See further details below.

The Metaverse does not compete with the internet; rather, it expands upon it.

Users navigate a virtual environment that duplicates features of the actual world utilizing technologies such as virtual reality (VR), augmented reality, artificial intelligence (AI), social media, and digital money in the metaverse.

Metaverse features include digital avatars, remote working, developing decentralization, hardware, encryption, and many more.

Similarly, virtual places like Zoom only allow for a single conversation. Participants at physical events can transition seamlessly from one talk to the next. Some colleges are utilizing metaverse technology to bypass internet and video meeting tool constraints.

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Answer:

Numerals

Dimensions

Extension Lines

Arrowheads

Dimension Figures

Isometric Dimensioning

Orthographic Dimensioning

If a drawing is to be complete, so that the object represented by the drawing can be made as intended by the designer, it must tell two complete stories. It tells this with views, which describe the shape of the object, and with dimensions and notes, which give sizes and other information needed to make the object.

Therefore, your next step is to learn the basics of dimensioning. In that way, you will understand not only how to interpret a drawing to get the information you need, but also how to dimension your sketches so that they can be used to communicate size information to others.

Numerals

It may seem a bit basic, but a few exercises with the shapes of numbers come before dimensioning. The reason for such a review is simply that incorrectly or carelessly made numbers on a drawing or sketch can easily be misinterpreted by someone on the job. That can be costly.

Therefore, the study of numbers forms is justified.

The number forms presented here have been determined to be the most legible, and are used by industry nationwide. The United States standardized 1/8” vertical

Explanation:

It is best to organize dimensions for easy reading. The drawing should have constant distances between dimension lines. If clarity cannot be achieved, avoid dimensioning inside objects or having the dimension line touch them.

There are two categories of dimensions: size dimensions and location dimensions.

The measures for the size of features and objects are provided by size dimensions. To locate features and objects, location dimensions are utilized. Drawings may also contain notes.

A measurement is referred to as a Size Dimension if it represents an object's size. A measurement is referred to as a Location Dimension if it represents an object's location.

This method is known as the Unidirectional Method if the dimension is written in the same direction throughout the entire drawing.

Therefore, When the same type of arc is used in more than one place,  numerals  note is included with the dimension.

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Answer:

When are resistors in series? Resistors are in series whenever the flow of charge, called the current, must flow through devices sequentially. For example, if current flows through a person holding a screwdriver and into the Earth, then  

R

1

 in Figure 1(a) could be the resistance of the screwdriver’s shaft,  

R

2

 the resistance of its handle,  

R

3

 the person’s body resistance, and  

R

4

 the resistance of her shoes.

Figure 2 shows resistors in series connected to a voltage source. It seems reasonable that the total resistance is the sum of the individual resistances, considering that the current has to pass through each resistor in sequence. (This fact would be an advantage to a person wishing to avoid an electrical shock, who could reduce the current by wearing high-resistance rubber-soled shoes. It could be a disadvantage if one of the resistances were a faulty high-resistance cord to an appliance that would reduce the operating current.)

Two electrical circuits are compared. The first one has three resistors, R sub one, R sub two, and R sub three, connected in series with a voltage source V to form a closed circuit. The first circuit is equivalent to the second circuit, which has a single resistor R sub s connected to a voltage source V. Both circuits carry a current I, which starts from the positive end of the voltage source and moves in a clockwise direction around the circuit.

Figure 2. Three resistors connected in series to a battery (left) and the equivalent single or series resistance (right).

To verify that resistances in series do indeed add, let us consider the loss of electrical power, called a voltage drop, in each resistor in Figure 2.

According to Ohm’s law, the voltage drop,  

V

, across a resistor when a current flows through it is calculated using the equation  

V

=

I

R

, where  

I

 equals the current in amps (A) and  

R

 is the resistance in ohms  

(

Ω

)

. Another way to think of this is that  

V

 is the voltage necessary to make a current  

I

 flow through a resistance  

R

.

So the voltage drop across  

R

1

 is  

V

1

=

I

R

1

, that across  

R

2

 is  

V

2

=

I

R

2

, and that across  

R

3

 is  

V

3

=

I

R

3

. The sum of these voltages equals the voltage output of the source; that is,

V

=

V

1

+

V

2

+

V

3

.

This equation is based on the conservation of energy and conservation of charge. Electrical potential energy can be described by the equation  

P

E

=

q

V

, where  

q

 is the electric charge and  

V

 is the voltage. Thus the energy supplied by the source is  

q

V

, while that dissipated by the resistors is

q

V

1

+

q

V

2

+

q

V

3

.

Explanation:

Answer:

The required current in the 600-turn exciting coil to establish a flux of 100 μWb in the air gap is approximately 7.96 Amperes.

Step-by-step explanation:

To find the required current, we can use the magnetic circuit equation:

Φ = B × A × l

where Φ is the magnetic flux, B is the magnetic field, A is the cross-sectional area, and l is the length.

Given information:

l1 = 10 cm

l2 = l3 = 18 cm

Cross-sectional area of l1 path (A1) = 6.25 cm²

Cross-sectional area of l2 and l3 paths (A2) = 3 cm²

Length of the air gap (l_gap) = 2 mm = 0.2 cm

Relative permeability of the core material (μ_r) = 800

Number of turns in the coil (N) = 600

Flux in the air gap (Φ) = 100 μWb = 100 × 10^-6 Wb

First, we need to calculate the magnetic field in the air gap using the formula:

B_gap = Φ / (A_gap × l_gap)

where A_gap is the cross-sectional area of the air gap.

A_gap = A1 + 2 × A2 = 6.25 cm² + 2 × 3 cm² = 12.25 cm²

B_gap = (100 × 10^-6 Wb) / (12.25 cm² × 0.2 cm) = 0.325 T

Next, we can calculate the required current in the coil using Ampere's Law:

B_core × A_core = B_gap × A_gap

where B_core is the magnetic field in the core and A_core is the cross-sectional area of the core.

Since there is no leakage and fringing, the magnetic field in the core is constant and equal to the magnetic field in the air gap.

B_core = B_gap = 0.325 T

A_core = A1 = 6.25 cm²

Now we can calculate the required current:

B_core × A_core × l1 + B_core × A_core × (l2 + l3) = μ₀ × μ_r × (N / l_gap) × I

μ₀ = 4π × 10^-7 T·m/A

I = (B_core × A_core × (l1 + l2 + l3)) / (μ₀ × μ_r × (N / l_gap))

Substituting the given values:

I = (0.325 T × 6.25 cm² × (10 cm + 18 cm + 18 cm)) / (4π × 10^-7 T·m/A × 800 × (600 / 0.2 cm))

Simplifying the expression:

I ≈ 7.96 A

Therefore, the required current in the 600-turn exciting coil to establish a flux of 100 μWb in the air gap is approximately 7.96 Amperes.

The maximum allowable power for the silicon chip when it is flush mounted in a substrate with an unheated starting length of 20 mm is 0.136 W.

To find the maximum allowable power for the silicon chip, we need to use the equation for heat transfer from a flat plate in parallel flow:

q'' = h(Ts - T∞)

Where q'' is the heat flux, h is the heat transfer coefficient, Ts is the surface temperature, and T∞ is the free stream temperature.

We can rearrange this equation to find the maximum allowable power:

q'' = h(Ts - T∞)Pmax = q''A = hA(Ts - T∞)

Where Pmax is the maximum allowable power and A is the area of the chip. We are given the values for u∞, T∞, Ts, and A, so we can plug these into the equation to find Pmax:

u∞ = 20 m/s

T∞ = 24°C

Ts = 80°CA

= (10 mm × 10 mm)

= 0.0001 m²

We also need to find the value for h, which we can do using the equation for the Nusselt number for a flat plate in parallel flow:

\(NuL = 0.664Re^{0.5}Pr^0.33\)

Where NuL is the Nusselt number, Re is the Reynolds number, and Pr is the Prandtl number. We can rearrange this equation to find h:

h = (NuLk)/where k is the thermal conductivity and L is the length of the chip. We can find the values for Re and Pr using the equations:

Re = (u∞L)/νPr = (Cpμ)/k

Where ν is the kinematic viscosity, Cp is the specific heat capacity, and μ is the dynamic viscosity. We can find the values for these properties using the given values for u∞ and T∞ and looking up the properties of air at these conditions:

ν = 15.68 × 10^-6 m²/s

Cp = 1007 J/kg·Kμ

= 18.46 × 10^-6 kg/m·sk

= 0.02624 W/m·K

We can now plug these values into the equations to find Re, Pr, NuL, and h:

Re = (20 m/s × 0.01 m)/(15.68 × 10^-6 m²/s)

= 12755.1Pr =

(1007 J/kg·K × 18.46 × 10^-6 kg/m·s)/(0.02624 W/m·K)

= 0.708NuL

= 0.664(12755.1^0.5)(0.708^0.33)

= 59.58h

= (59.58 × 0.02624 W/m·K)/0.01 m

= 155.6 W/m²

We can now plug these values into the equation for Pmax to find the maximum allowable power:

Pmax = (155.6 W/m²·K)(0.0001 m²)(80°C - 24°C) = 0.874 W

We can use the equation for the Nusselt number for a flat plate with an unheated starting length:

NuL = 0.3387(ReLPr)^(1/3)

Where L is the length of the heated portion of the plate.

We can plug in the values for Re, Pr, and L to find NuL:

NuL = 0.3387(12755.1 × 0.01 m × 0.708)^(1/3)

= 9.23

We can now use this value for NuL to find a new value for h:

h = (9.23 × 0.02624 W/m·K)/0.01 m = 24.25 W/m²·

We can now plug this value for h into the equation for Pmax to find the maximum allowable power:

Pmax = (24.25 W/m²·K)(0.0001 m²)(80°C - 24°C)

= 0.136 W

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Answer:

11/8

Explanation:

7/8+4/8=11/8 if you want it on a ruler you need to go online and type fraction to decimal converter and put in 11/8 into a decimal

Answer:

B.  1.75 microfarads

Explanation:

When capacitors are connected in parallel, the total capacitance is equivalent to the sum of each individual capacitor's capacitance.

With this in mind, we have the values, 0.1, 0.6, 1.0, and 0.05, all microfarads.  So simply, we need to sum these values.

0.1 + 0.6 + 1.0 + 0.05

= 0.7 + 1.0 + 0.05

= 1.7 + 0.05

= 1.75

So the total capacitance for this circuit would be 1.75 microfarads.

Cheers.

Answer:

The golfer is at greater risk.

Explanation:

The golfer is holding a metal club. Metal is a good conductor for electricity (lightning), meaning electrons can pass through easily. Her caddy is at lesser risk because she is holding a plastic handled umbrella. Plastic is an insulator, which does not easily allow the movement of electrons to pass.

Technology has become an integral part of our lives, and it has been advancing rapidly over the years. As engineers, it is essential to adopt a critical attitude towards technology.

Engineers should analyze the advantages and disadvantages of a particular technology to ensure it doesn't cause harm to society. In this essay, I will explain why adopting a critical attitude towards technology is essential as an engineer, and I will include examples.

Technology can be harmful to society if it is not tested properly. As an engineer, it is our responsibility to test new technology to ensure it's safe before it's introduced to the public. For example, autonomous vehicles have become popular over the years, and they are now being tested in various countries.

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Answer:

M/A = 0.425 g/cm²

Explanation:

Given the following data;

Mass = 192 grams

Dimensions = 7 * 10 inches.

To find the mass per unit area;

First of all, we would determine the area of the lead sheet;

Area = 7 * 10

Area = 70 in²

Conversion:

1 square inch = 6.452 square centimeters

70  inches = 70 * 6.452 = 451.64 square centimeters

Next, we find the mass per unit area;

M/A = 192/451.64

M/A = 0.425 g/cm²

The answer of the given question based on the A steel spur gear and mating pinion is given below,

Metal is a material that is typically hard, shiny, malleable, ductile, and conducts electricity and heat well.

1)  The bending stress on the tooth is given by:

σb = (Wt*Kb)/(bd²)

where Wt is the transmitted load, Kb is the bending stress factor, b is the face width of the gear, and d is the pitch diameter of the gear.

so the transmitted load can be calculated as:

Wt = (2Php)/(v*N)

where P is the diametral pitch, hp is the power transmitted, v is the velocity factor, and N is the pinion speed in revolutions per minute (RPM)

Using the given values, we have:

Wt = (2126)/(0.95*1760) = 0.0096 in.lbf

Substituting the values, we have:

σb = (0.00961.2)/(0.87524²) = 1112 psi

Assuming a factor of safety of 1.5, the allowable bending stress can be calculated as:

σba = 8600/1.5 = 5733 psi

Therefore, the core hardness of the pinion material should be such that it can withstand a bending stress of at least 5733 psi. The specific hardness value depends on the material selected for the pinion.

2)  The transmitted load for the gear is:

Wt = (2126)/(0.951760)(67/24)² = 0.0378 in.lbf

The bending stress factor Kb for the gear is approximately 1.6 for a 20° pressure angle and 67 teeth.

Substituting the values, we have:

σb = (0.03781.6)/(0.87567²) = 422 psi

Assuming a factor of safety of 1.5, the allowable bending stress can be calculated as:

σba = 8600/1.5 = 5733 psi

Therefore, the core hardness of the gear material should be such that it can withstand a bending stress of at least 5733 psi. The specific hardness value depends on the material selected for the gear.

c)  To determine the surface hardness required for the pinion, we need to calculate the pinion tooth surface fatigue strength, Sf. We can use the following equation:

Sf = [KaKvKs*(YnJ)] / [CZ⁽p/2-0.06⁾]

From J&M Table 15.4, we can find the following values for the pinion:

Ka = 1 (for conveyor drive)

Kv = 1.25 (from Curve D for pinion speed of 1760 rpm)

Ks = 1

Yn = 1

J = 0.375 (from Table 15.5 for 20° pressure angle and 24 teeth)

C = 235 (for hardened and tempered steel with a hardness of 269-321 BHN)

p = 12

Z = 24

Plugging in the values, we get:

Sf = [11.251*(10.375)] / [235(24^(12/2-0.06))] = 1.56 psi

Therefore, the surface hardness required for the pinion in light of pinion tooth surface fatigue requirements is 385 BHN.

d)   We can use the same equation as above, but with some different values:

Ka = 1 (for conveyor drive)

Kv = 1 (from Curve D for gear speed of 528 rpm)

Ks = 1

Yn = 1

J = 0.375 (from Table 15.5 for 20° pressure angle and 67 teeth)

C = 235 (for hardened and tempered steel with a hardness of 269-321 BHN)

p = 12

Z = 67

Plugging in the values, we get:

Sf = [111*(10.375)] / [235(67^(12/2-0.06))] = 1.08 psi

Therefore, the surface hardness required for the gear in light of gear tooth surface fatigue requirements is 320 BHN.

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The tool that has a revolving vertical shaft and a cutter is a router. The correct option is b.

There are many different kinds of power tools, including portable power tools like a circular saw, heat guns, and wall chasers as well as electrical power tools like impact wrenches, lathes, power drills, power ratchet sets, and power saws.

Power tools including circular saws, jigsaws, drills, hammer drills, sanders, grinders, routers, and many others reduce labor and time requirements. The requirement for knowledge of the risks that power tools provide if used improperly is raised due to their rising use.

A power tool called a router has a flat base and a spinning blade that protrudes beyond the base. An electric motor or a pneumatic motor can drive the spindle.

Therefore, the correct option is b) router.

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