a service has a three-phase supply with 14 single-pole circuits and 4 three-pole circuits. the minimum number of poles required is . select one: a. 18 b. 22 c. 26 d. 30

To determine the peak stress on the outer surface of a 50% fibre composite vaulting pole that has a diameter of about 50 mm and is being bent to a radius of curvature, R, of about 0.5 m, we can use the following formula:

σ = (M/Z) * y

where,σ = stress

M = bending moment

Z = section modulus

y = distance from the neutral axis

To find M, we can use the following formula:

M = (Em/Ef) * (ρc/ρf) * (π/4) * d^3 * (1/R)where,

Em = modulus of elasticity of matrixEf = modulus of elasticity of fibre

ρc = density of the matrixρf = density of the fibreπ = 3.14d = diameter of the pole

R = radius of curvatureNow, substituting the given values:

M = (3/90) * (0.5/1.5) * (π/4) * (0.05)^3 * (1/0.5)M

= 0.000216 Nm

To find Z, we can use the following formula:

Z = (π/32) * d^4 * (ρf/ρc) * (Ef/Em) * (1 + (3h/d)^2)

where,h = height of the pole

Now, substituting the given values:

Z = (π/32) * (0.05)^4 * (0.5/1.5) * (90/3) * (1 + (3(0.5)/0.05)^2)Z

= 0.0001586 m^3To find y, we can use the following formula:

y = (d/2) * (ρf/ρc)where,ρc = density of the matrix

ρf = density of the fibre

Now, substituting the given values:y = (0.05/2) * (0.5/1.5)y = 0.00833 m

Substituting the values of M, Z, and y in the formula for stress, we get:σ = (M/Z) * yσ = (0.000216/0.0001586) * 0.00833σ = 11.77 MPa

Therefore, the peak stress on the outer surface of a 50% fibre composite vaulting pole with a diameter of about 50 mm and being bent to a radius of curvature, R, of about 0.5 m is 11.77 MPa.

Composite materials are known for their remarkable strength and durability, making them ideal for use in a variety of applications. One of these applications is in the production of vaulting poles used in pole vaulting, a track and field event that involves athletes using a long, flexible pole to clear a bar that is suspended above the ground. The poles used in this event are typically made of a composite material that consists of a matrix material, such as epoxy resin, and a reinforcing material, such as carbon fibre or fibreglass. These materials are chosen for their high strength-to-weight ratio, which allows the poles to be both strong and flexible. The strength of the pole is determined by its modulus of elasticity, which is a measure of its ability to resist deformation under load. The modulus of elasticity of the matrix material, Em, and the reinforcing material, Ef, are key factors in determining the strength of the pole. The density of these materials is also important, as it affects the weight of the pole. The peak stress on the outer surface of a pole is an important factor to consider when designing the pole, as it determines the maximum load that the pole can handle before it fails. In order to determine the peak stress on the outer surface of a 50% fibre composite vaulting pole with a diameter of about 50 mm and being bent to a radius of curvature, R, of about 0.5 m, we can use the formula σ = (M/Z) * y, where M is the bending moment, Z is the section modulus, and y is the distance from the neutral axis. By using the appropriate values for Em, Ef, density, diameter, and radius of curvature, we can calculate the peak stress on the outer surface of the pole.

In conclusion, the peak stress on the outer surface of a 50% fibre composite vaulting pole with a diameter of about 50 mm and being bent to a radius of curvature, R, of about 0.5 m, is 11.77 MPa. The strength of the pole is determined by its modulus of elasticity, which is a measure of its ability to resist deformation under load. The modulus of elasticity of the matrix material, Em, and the reinforcing material, Ef, are key factors in determining the strength of the pole. The density of these materials is also important, as it affects the weight of the pole. The peak stress on the outer surface of a pole is an important factor to consider when designing the pole, as it determines the maximum load that the pole can handle before it fails. Overall, composite vaulting poles are an excellent example of how composite materials can be used to create strong and durable structures that are ideal for a wide range of applications.

Learn more about section modulus here:

brainly.com/question/32572508

#SPJ11

Answer:

What specific fluid goes in the windshield wipers.

Distilled water

How much to put in fluid ounces?

There should be a tiny bit more than 3/4 of the way full.

Taccol Engineering Limited can achieve the target of constructing 10000 kilometers of roads in 2022 by producing at an output level of 125 km per year, which would ensure profitability.

To achieve the target of constructing 10000 kilometers of roads in 2022, Taccol Engineering Limited would need to determine the optimal level of output that would ensure profitability. This can be done by finding the level of output where the marginal cost (MC) equals the marginal revenue (MR).

The marginal cost is the derivative of the total cost function with respect to Q. Thus, MC = d(TC)/dQ = 12Q^2 - 180Q + 1000.

The marginal revenue can be approximated as the market price for the construction of a kilometer of road. Assuming a market price of $50, the marginal revenue would be constant at MR = $50.

To maximize profits, Taccol Engineering Limited would need to produce output where MC = MR. Thus, 12Q^2 - 180Q + 1000 = 50, which gives Q = 125 km.

Therefore, Taccol Engineering Limited can achieve the target of constructing 10000 kilometers of roads in 2022 by producing at an output level of 125 km per year, which would ensure profitability.

Learn more about profitability at:

https://brainly.com/question/15573174?

#SPJ1

The bellman-ford shortest path algorithm works on graphs with negative edge weights, but not negative edge weight cycles.

Define an algorithm.

A finite sequence of exact instructions is known as an algorithm in mathematics and computer science. Algorithms are frequently used to solve a class of particular problems or to carry out computations. For carrying out calculations and data processing, algorithms are used as specifications.

A method used to solve a problem or carry out a command is known as an algorithm. Algorithms are precise lists of instructions that, in either software or hardware-based routines, carry out predetermined actions step by step.

To learn more about an algorithm, use the link given
https://brainly.com/question/15217393
#SPJ4

The only process I can think of that would satisfy the conservation of energy principle but does not occur in nature is a perpetual motion machine.

Perpetual Motion Machine would produce work indefinitely without any external input of energy, thus violating the first law of thermodynamics which states that energy cannot be created or destroyed, only converted from one form to another.

While it is theoretically possible to design a machine that appears to produce more energy than it consumes, such a machine cannot exist in reality due to the various energy losses that occur in any real-world system.

These losses can occur due to factors such as friction, heat transfer, and resistance in electrical circuits, among others.

Learn more about conservation of energy here:

https://brainly.com/question/166559

#SPJ1

The cluster head directs data transmission between clusters and controls the actions of its individual nodes.

The definition of power as the "capacity to accomplish work" refers to the capability to exert a force that compels an object to move. Even if the word is vague, it is clear what energy actually means: it is the force that causes objects to move. Kinetic energy and potential energy are the two categories of power.

Fossil fuels (coal, gas, and oil), nuclear energy, or renewable energy sources are the main energy sources. A secondary source of energy that is produced from fundamental energy sources is electricity.

To know more about  energy visit:

https://brainly.com/question/1932868

#SPJ1

Option C. The correct statement about the static pressure p₂ relative to p₁ and the velocity V₂ relative to V₁ along the streamline down the center of the pipe is p₂ > p₁ and V₂ < V₁.

When fluid flows without friction through a horizontal pipe and enters a section where the cross-sectional area is smaller, the static pressure at the smaller area decreases relative to the static pressure at the larger area, whereas the velocity increases. Therefore, the correct statement about the static pressure p₂ relative to p₁ and the velocity V₂ relative to V₁ along the streamline down the center of the pipe is p₂ > p₁ and V₂ < V₁.

This is because the mass flow rate is conserved across any cross-section of the pipe, and this leads to an increase in fluid speed as the cross-sectional area decreases (and vice versa). As a result, the fluid experiences an increase in velocity head and a decrease in pressure head as it moves from the larger area to the smaller area.

Therefore the correct option is C.

Learn more about "static pressure" at: https://brainly.com/question/14810152

#SPJ11

Answer:

it should be A bc I took the test a while back

The statement that is true about customer relationship management (CRM) is "Its aim is to maximize customer loyalty."

Option D is the correct option.

CRM stands for customer relationship management.

It is an approach used by organizations to manage their interactions with current and potential customers.

The main aim of CRM is to maximize customer loyalty.

CRM system uses a wide variety of data and tools to automate, manage and synchronize customer service, sales, marketing, and technical support.

It enables an organization to build strong customer relationships and streamline processes by integrating and automating various functions related to customer service, marketing, and sales.

This allows an organization to better understand customer preferences and behaviors, which can be used to improve customer satisfaction and retention.

CRM provides a unified view of customers and automates sales processes, thereby improving productivity and efficiency. It also helps an organization to provide better customer service by giving customers access to their account information and providing personalized support.

CRM data can be used to generate insights into customer behavior and preferences, which can be used to inform marketing strategies.

This can help organizations to target their marketing efforts more effectively and improve the return on investment (ROI) of their marketing campaigns.

To know more about CRM, visit:

https://brainly.com/question/30396413

#SPJ11

Answer:

Bluetooth is a slow wireless technology used to connect devices within a radius of about 30 feet. While Bluetooth technology is amazing, there are lots of bugs involved with Bluetooth devices, and there is still lots to be discovered in this area of tech.

Answer:

Massive or linteled

Explanation:

Pyramid is a type of massive or linteled structure.

These structures do no have not much internal spaces and they are huge edifices.

A pyramid is a solid body with outer triangular faces that converges on top. To construct a pyramid, large amounts of materials are usually involved. Pyramids were more prominent in times past before this present civilization.

Answer: 50

Explanation:

The color of a car is an example of a categorical variable. A categorical variable is a variable that takes on discrete values and can be grouped into categories based on some shared characteristic.

Categorical variables are a type of variable that takes on discrete values and can be grouped into categories based on some shared characteristic. This type of variable is often used in statistics to group data into meaningful categories and to help analyze patterns and trends in the data. The color of a car is an example of a categorical variable because it can be classified into different categories like red, blue, black, etc. Other examples of categorical variables include gender, race, and education level. These variables are used to group people or things into categories based on some shared characteristic. For example, gender can be used to group people into male and female categories, while education level can be used to group people into categories like high school, college, and graduate school. In conclusion, the color of a car is an example of a categorical variable. This type of variable is used in statistics to group data into meaningful categories and to help analyze patterns and trends in the data. Other examples of categorical variables include gender, race, and education level.

To learn more about categorical variable, visit:

https://brainly.com/question/24244518

#SPJ11

Answer:

They moved fresh water around their vast empire with aqueducts and canals.

Explanation:

Highway safety is a multifaceted approach that involves a combination of engineering, enforcement, and education strategies. The design features contribute to the overall safety of expressways, but driver attentiveness, adherence to traffic laws, and responsible driving behavior are equally crucial for safe travel on these roadways.

Highway safety design features on expressways that help make them safer roadways to travel include:

1. Controlled Access: Expressways are designed with limited access points, such as ramps and interchanges, to regulate the flow of vehicles entering and exiting the roadway. This helps reduce the potential for collisions and congestion.

2. Median Barriers: Medians with physical barriers, such as concrete walls or cable barriers, are installed to separate opposing traffic. These barriers help prevent head-on collisions and minimize the severity of accidents.

3. Clear Zone Areas: Clear zones are areas adjacent to the roadway that are kept free from fixed objects, such as trees or poles. This provides a buffer zone and allows drivers to recover safely if they veer off the road.

4. High Visibility Markings: Expressways often have clear and highly visible lane markings, signage, and pavement markings. These aids help drivers navigate the roadway, change lanes safely, and understand upcoming exits and interchanges.

5. Lighting: Adequate lighting is installed along expressways to enhance visibility during nighttime conditions. Well-lit roadways improve driver awareness and reduce the risk of accidents.

6. Guardrails: Guardrails are installed along certain sections of the expressway, such as curves or areas with significant grade changes, to prevent vehicles from leaving the road and reduce the impact severity of collisions.

7. Emergency Pull-off Areas: Expressways may have designated emergency pull-off areas where drivers can safely stop in case of emergencies, breakdowns, or for accessing emergency services.

8. Traffic Control Devices: Intersections, interchanges, and merging areas on expressways are equipped with traffic control devices such as signals, yield signs, and merge signs to facilitate the safe movement of vehicles.

9. Advanced Warning Systems: Expressways may incorporate advanced warning systems, such as electronic message signs, variable speed limit signs, and intelligent transportation systems, to provide real-time information to drivers about hazards, congestion, or incidents ahead.

Learn more about Highway:

https://brainly.com/question/1071443

#SPJ11

Agile only uses a small amount of requirements documentation, which is not true of the agile methodology.

The Agile approach is an iterative, incremental development methodology which focuses on collaboration and customer satisfaction rather than on detailed documentation and planning. It is used to develop software in an iterative manner over a series of short cycles, known as sprints. Agile does not require detailed requirements documentation, instead, requirements are captured as user stories which define the functionality desired by the customer. User stories are usually written on index cards and discussed with the customer during sprint planning. The Agile method does not require that each user story have very detailed and in-depth requirements, though these may be defined if desired. The focus is on getting an initial set of requirements that are just barely sufficient for the development team to begin working on the user story.

Learn more about methodology here:

https://brainly.com/question/29220500

#SPJ4

The true power is obtained as 70.7 VA.

We define the power a the rate of doing work, we know that the power in a circuit is the product of the current and the voltage. In this case, we want to find the true power thus we have to involve the use of the phase shift in degrees.

Thus;

True power = PcosΦ

P =  100 VA

Φ = 45 degrees

True power =  100 VA * cos 45 degrees

True power = 70.7 VA

Learn more about power in a circuit:https://brainly.com/question/2933971

#SPJ1

Answer:

Option B

Explanation:

Atoms of ferromagnetic materials have north and south pole but these atoms are oriented in random directions due to which they do no exhibit magnetic properties until unless they are brought into influence of any external temporary or permanent magnetic field.

Under the influence of external magnetic force, the atoms of the ferromagnetic material get oriented in a particular direction.

Hence, option B is correct

Answer: 2 step by step

Explanation: ;) don't know if this helped or not

The accountant should indicate in the compilation report that the financial statements are "not in accordance with generally accepted accounting principles."

The omission of substantially all disclosures required by GAAP means that the financial statements are not presented in accordance with GAAP. As a result, the accountant must include a statement in the compilation report that indicates the financial statements are not in compliance with GAAP.

In this case, the special-purpose framework refers to the omission of substantially all disclosures required by GAAP. The accountant must clearly mention this in the compilation report to inform users of the financial statements about the limited scope of the presentation.

To know more about financial visit:-

https://brainly.com/question/31111235

#SPJ11

Answer:

a) C1 = 3C2

b) C1 = 1 , C2 = -3  

c) \(w = \frac{-x^2}{2} + \frac{y^2}{2} + 3xy + C\)

d) (v.v)T = 0

Explanation:

u = 3x + C1y

v = x + C2y

A) determining all  stagnation points

At The stagnation points : u = 0, v = 0

for all  values of C1 and C2 , C1 = 3C2

B) The coefficients of C1 and C2 so that the flow is potential

C1 = 1 , C2 = -3  

C) Determine the expression of the stream function

\(w = \frac{-x^2}{2} +\frac{y^2}{2} +3xy+ C\)

D) The value of (v.v)T at the point (x,y) = (1,2)

(v.v)T = 0

Attached is the detailed solution

The molar volume of acetylene vapor at 247.1 K and 13.5 bar, using the Pitzer correlation for the second virial coefficient, is approximately 72.5 cm3/mol.

Explanation:

The Pitzer correlation can be used to estimate the second virial coefficient of a gas. The equation is given by B = (RTc)/(Pc) * (1 + m(1 - (T/Tc)^(0.5))) where B is the second virial coefficient, R is the ideal gas constant, Tc is the critical temperature, Pc is the critical pressure, T is the temperature, and m is the acentric factor.

Plugging in the given values and solving for B, we get B = -0.009413 m3/mol. Then, using the ideal gas law, V = RT/P, we can calculate the molar volume as V = (RT)/P = (8.314 J/mol-K * 247.1 K) / (13.5 bar * 10^5 Pa/bar) ≈ 0.0725 m3/mol ≈ 72.5 cm3/mol.

Learn more about the Pitzer correlation here:

https://brainly.com/question/16201302

#SPJ11

Answer:

Fourier coefficient, Ck:

\({ \rm{ c_{k}} = \int ^{ \infin} _{ - \infin } \{x(t) {e}^{jk \omega _{0} t} \} }\)

Fourier transform:

\({ \rm{x( \omega) = \int ^{ \infin} _{ - \infin} } \{x(t) {e}^{j \omega} t} \}\)

Impact test is used to determine a materials notch toughness. The impact test is used to determine a material's notch toughness, which is its ability to withstand the formation and propagation of cracks or notches in the material under high-stress conditions. This test involves striking a notched specimen with a pendulum and measuring the energy required to fracture the specimen.

To know more about Impact test

https://brainly.com/question/13109634?

#SPJ11

Answer:

True

Explanation:

Atmospheric science is studying of the Earth's atmosphere. Meteorology includes atmospheric chemistry and atmospheric physics with a major focus on weather forecasting.

Answer:

The other person is Correct the answer is true

Explanation:

66.7 J of work is supplied by the refrigerator in order to remove 200J of heat from its interior. Which is having COP of 3

COP of refrigerator is defined as the ratio of heat removed from the substance (refrigerator) to Work input.

Full form of COP is Coefficient of Performance.

Formula of COP = Heat Removed(Q)/ Work input( W)

we have COP =3

Q= 200J substitute in formula

3=200/w ⇒ w=200/3 ⇒ 67J

Hence 66.7 J of work is supplied by the refrigerator in order to remove 200J of heat from its  interior. Which is having COP of 3

To study more about Heat :https://brainly.com/question/19666326

When calculating the Reynolds number (Re) of a flowing fluid, the fluid's inertia force is determined by multiplying the fluid's velocity by the internal pipe diameter, and the resulting ratio is then divided by the fluid's kinematic viscosity (viscous force per unit length).

The ratio of momentum (or inertia) to viscous forces is how the Reynolds number is commonly understood. At a moderate Reynolds number, a significant shift in fluid behavior takes place. When this happens, the flow stops being uniform and laminar and starts to fluctuate (turbulent). Density * D * Flow Speed/viscosity = vReynolds number. The units on the right side of the equation cancel out completely, leaving the Reynolds number without any units. It grows as the flow rate quickens and shrinks as the viscosity increases. When the Reynolds number is around 2300, turbulence begins to occur.

Learn more about  Speed/viscosity from

https://brainly.com/question/20533777

#SPJ4