A turntable A is built into a stage for use in a theatrical production. It is observed during a rehearsal that a trunk B starts to slide on the turntable 10 s after the turntable begins to rotate. Knowing that the trunk undergoes a constant tangential acceleration of 0.28 m/s2, determine the coefficient of static friction between the trunk and the turntable.

Answer: See attachment below

Explanation:

Answer:

Space mean speed = 44 mi/h

Explanation:

Using Greenshield's linear model

q = Uf ( D - [tex]D^{2}[/tex]/Dj )

qcap = capacity flow that gives Dcap

Dcap = Dj/2

qcap = Uf. Dj/4

Where

U = space mean speed

Uf =  free flow speed

D = density

Dj = jam density

now,

Dj = 4 × 3300/55

    = 240v/h

q = Dj ( U - [tex]U^{2}[/tex]/Uf)

2100 = 240 ( U - [tex]U^{2}[/tex]/55)

Solve for U

U = 44m/h

Answer:true

Explanation: I’m fram wokonda

The email message you provided is advising law firm employees to be alert for a new virus that can destroy files.

The virus is associated with .EDT file extensions, so the email message suggests that employees search their hard drives for these files and delete them.

This advice is generally sound. .EDT files are associated with Adobe Digital Editions, a software program that is used to read eBooks. If a .EDT file is infected with a virus, it could potentially damage or destroy the eBook that it is associated with.

However, it is important to note that not all .EDT files are infected with viruses. It is possible that an employee may have a legitimate .EDT file that they need to keep. Therefore, before deleting any .EDT files, it is important to make sure that they are not infected.

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The number of electrons that move past a fixed reference point in 2.55 ps when the current is 7.3  extmu A is approximately 116, after calculating the total charge and then dividing it by the charge of an electron.

The number of electrons moving past a fixed reference point in a given time interval when the electric current is known can be calculated by first determining the total charge that passes through the reference point and then dividing that by the charge per electron. The total charge ( extit{Q}) that moves through a fixed point is the product of the current ( extit{I}) and the time interval ( extit{t}), which is expressed by the formula  extit{Q} =  extit{I}  imes  extit{t}. Given that the charge of an electron is approximately -1.60  imes 10^{-19} C (coulombs), one can calculate the number of electrons by dividing the total charge by the electronic charge.

In this case, the current is 7.3  extmu A (microamperes), which is equal to 7.3  imes 10^{-6} A (amperes), and the time interval is 2.55 ps (picoseconds), or 2.55  imes 10^{-12} s (seconds). Using the formula  extit{Q} =  extit{I}  imes  extit{t}, the total charge moved past the reference point is calculated as follows:

Q = 7.3  imes 10^{-6} A  imes 2.55  imes 10^{-12} s = 1.8615  imes 10^{-17} C

Next, to find the number of electrons that move past the reference point, we divide the total charge by the charge of an electron:

Number of electrons =  rac{Q}{e} =  rac{1.8615  imes 10^{-17} C}{1.60  imes 10^{-19} C/e^-}

This yields approximately 116.34 electrons. Since the question asks for an integer value, we round this to 116 electrons as the number of electrons that move past a fixed reference point every 2.55 ps if the current is 7.3  extmu A.

To find the number of electrons moving past a fixed reference point with a given current, you can use the formula: Current (i) = Charge (q) / Time (t). By substituting the known values and calculating, you can determine the number of electrons passing the point at a specific time.

To find the number of electrons moving past a fixed reference point with given current:

Given: Current (i) = 7.3 μA = 7.3 x 10^-6 A

Formula: Current (i) = Charge (q) / Time (t)

Calculation: Number of electrons = (Current x Time) / Charge of an electron

Substitute values and calculate.

Answer:

Explanation:

The concept of Hooke's law was applied as it relates to deformation.

The detailed steps and appropriate substitution is as shown in the attached file.

Answer:

Gage pressure at the bottom of the tank = 46.1kP

Explanation:

Note that it is required to expressed the gage pressure ,pressure at the free surface=0 gage

Pressure due to the oil layer= (3m)*((800kg/m^3)(9.81m/s^2))/1000=25.9kpa

Pressure due to the brine layer=(2m)*((1030kg/m^3)(9.81m/s^2))/1000=20.2ka

Therefore, the pressure at the bottom=25.9+20.2=46.1kP

Answer:

True

Explanation:

The passageway between the riser and the main cavity must have a small cross-sectional area to reduce waste of material in metal casting.

Answer:

t = 30.1 sec

Explanation:

If the ant is moving at a constant speed, the velocity vector will have the same magnitude at any point, and can be decomposed in two vectors, along directions perpendicular each other.

If we choose these directions coincident with the long edge of the paper, and the other perpendicular to it, the components of the velocity vector, along these axes, can be calculated as the projections of this vector along these axes.

We are only interested in the component of the velocity across the paper, that can be calculated as follows:

vₓ = v* sin θ, where v is the magnitude of the velocity, and θ the angle that forms v with the long edge.

We know that v= 1.3 cm/s, and θ = 61º, so we can find vₓ as follows:

vₓ = 1.3 cm/s * sin 61º = 1.3 cm/s * 0.875 = 1.14 cm/s

Applying the definition of average velocity, we can solve for t:

t =[tex]\frac{x}{vx}[/tex] = [tex]\frac{34.2 cm}{1.14 cm/s} =30.1 sec[/tex]

⇒ t = 30.1 sec

The amount of water vapor present, we can use the relationship between specific volume, volume, and mass.

Specific volume= Volume/ Mass, (v) at a certain condition is 0.651 m³/kg and the volume (V) occupied by the water vapor is 1.2 m³, we can rearrange the formula to solve for mass (m):

Mass=  Specific volume/ Volume

           = 1.2/ 0.651

Mass= 1.2/ 0.651  

         = 1.844

Mass=1.844kg

Therefore,  the amount of water vapor present is approximately 1.844 kg.

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Answer:

slope of the equation = -0.006778 and the intercept = 27.11

Explanation:

The following details were also given ; They predict the monthly T shirts to be 1750 shirts, if you price them at $15.25 per shirt or 791 shirts if you price them at $21.75 per shirt.

The detailed steps and calculation is as shown in the attached file.

Answer:

Please find detail answer given below

Explanation:

(a) Stiffness

It is defined as the property of a material that is rigid and difficult to bend. The example of stiffness is the rubber band. If an elastic band is stretched with two fingers, the stiffness is less and the flexibility is greater. Similarly, if we use the rubber band assembly and stretch it with two fingers, the stiffness will be more rigid and the flexibility will be less.

(b) Strength

Force measures how much stress can be applied to an element before it is permanently deformed or fractured.

(c) ductility

Ductility is a measure of a metal's ability to resist tensile stress: any force that separates the two ends of an object. The tug of war game provides a good example of the tension of tension that is applied to a rope. Ductility is the plastic deformation that occurs in the metal as a result of such types of deformation. The term "ductile" literally means that a metallic substance is capable of stretching on a thin wire without weakening or becoming more fragile in the process.

(d) Yielding

The performance of a material is explained as the tension at which a material begins to deform irreversibly. Before the elastic limit, the material will deform elastically, which means that it will return to its original shape when the applied tension is eliminated (that is, without permanent and visible change in the shape of the material).

(e) toughness

The ability of a metal to deform plastically and to absorb energy in the process before the fracture is called resistance. The emphasis of this definition should be placed on the ability to absorb energy before the fracture.

(f) strain hardening

The process of strain hardening is at what time when metal is strained beyond the yield point. An intensifying pressure is required to produce extra plastic deformation and the metal apparently becomes stronger and more difficult to deform.

Answer:

estimated actual endurance strength = 183.22 MPa

Explanation:

given data

actual endurance limit for SAE 4130 WQT 1300

cross section = 20.0 mm by 60 mm

reliability = 99%

solution

we use here table for get some value for AISI 4130 WQT 1300 steel

Sut = 676 MPa

Sn = 260 MPa

and here

stress factor Cst = 1

and wrought steel Cm = 1

and reliability factor Cr is = 0.81

so here equivalent diameter will be

equivalent diameter = 0.808 [tex]\sqrt{bh}[/tex]    ...........1

equivalent diameter = 0. 808 [tex]\sqrt{20*60}[/tex]  

equivalent diameter = 28 mm

so here size factor will be = 0.87 by the table

so now we can get estimated actual endurance strength will be

actual endurance strength = Sn × Cm × Cst × Cr × Cs ...............2

put here value

actual endurance strength = 260 × 1 × 1 × 0.81 × 0.87

actual endurance strength = 183.22 MPa

Answer: a) 0.77 and 0.39 b) 3.9 and 0.20

Explanation:

We have to find two things here i.e link parameter and channel utilization efficiency.

a)

We are given

Bitrate= 12 Mbps,

Distance= 6 miles

Propagation Velocity= 3 x 10⁸ m/s

Length of frame= 500 bits

We know that The link parameter is related to propagation time and frame time

Where Propagation time= Bitrate x Distance= 12 Mbps x 6 miles

and Frame time= Propagation velocity x length of frame= 3 x 10⁸ x 500

So,

Link parameter= [tex]\frac{12*10^6*6*1609.34}{3*10^8*500}[/tex]

Link parameter= 0.77

Channel utilization efficiency= [tex]\frac{1}{1+2* link parameter}[/tex]

Channel utilization efficiency= 0.39

b)

We are given

Bitrate= 10 Mbps,

Distance= 15 km

Propagation Velocity= 3 x 10⁸ m/s

Length of frame= 256 bits

We know that The link parameter is related to propagation time and frame time, Here QPSK is used so bitrate is multiplied by 2,

Where Propagation time= Bitrate x Distance= 2 x 10 Mbps x 15 km

and Frame time= Propagation velocity x length of frame= 3 x 10⁸ x 256

So,

Link parameter= [tex]\frac{2*10*10^6*15*1000}{3*10^8*256}[/tex]

Link parameter= 3.9

Channel utilization efficiency= [tex]\frac{1}{1+2* link parameter}[/tex]

Channel utilization efficiency= 0.20

Optimistic attitude, self-efficacy, stress inoculation, secure relationships, and spirituality are factors that help individuals cope with adversity. These elements foster hardiness and stress-related growth, allowing individuals to manage chronic and acute stressors more effectively and pursue personal development.

Maintaining an optimistic attitude, building self-efficacy, strengthening stress inoculation, experiencing secure personal relationships, and practicing spirituality or religiosity are factors to help individuals thrive in the face of adversity.

Adversity can include both chronic stressors, such as long-term unemployment, and acute stressors, like illnesses or loss. These stressors require coping mechanisms and personal strengths for an individual to manage effectively. Optimism is a general tendency to expect positive outcomes and it contributes to less stress and happier dispositions. Self-efficacy, defined by Albert Bandura, is the belief in one's abilities to reach goals, which empowers a proactive response to stressors. The concept of hardiness, which relates to optimism and self-efficacy, describes those who are less affected by life's stressors and use effective coping strategies.

Furthermore, stress-related growth or thriving describes the ability of individuals to exceed previous performances and show increased strength in the face of adversity. The nurturing of secure personal relationships provides social support that can aid in increasing positive affect and reducing the number of physical symptoms during stressful times.

Answer:

Explanation:

Given

Temperature of solid [tex]T=500\ K[/tex]

Einstein Temperature [tex]T_E=300\ K[/tex]

Heat Capacity in the Einstein model is given by

[tex]C_v=3R\left [ \frac{T_E}{T}\right ]^2\frac{e^{\frac{T_E}{T}}}{\left ( e^{\frac{T_E}{T}}-1\right )^2}[/tex]

[tex]e^{\frac{3}{5}}=1.822[/tex]

Substitute the values

[tex]C_v=3R\times (\frac{300}{500})^2\times (\frac{1.822}{(1.822-1)^2})[/tex]

[tex]C_v=3R\times \frac{9}{25}\times \frac{1.822}{(0.822)^2}[/tex]

[tex]C_v=0.97\times (3R)[/tex]            

Hi, you haven't provided the programing language in which you need the code, I'll just explain how to do it using Python, and you can apply a similar method for any programming language.

Answer:

1. def pyramid_volume(base_length, base_width, pyramid_height):

2.     volume = base_length*base_width*pyramid_height/3

3.     return(volume)

Explanation step by step:

In the image below you can see the result of calling the function with input 4.5, 2.1, 3.0.

The function 'pyramid_volume' can be used to compute the volume of a pyramid with a rectangular base. Its calculation uses the equation: V = (base_area * height) / 3, where base_area = base_length * base_width. Given the inputs 4.5, 2.1, and 3.0 for base_length, base_width, and pyramid_height respectively, the volume would be 9.45

The function pyramid_volume is best defined in the context of Mathematics, particularly, geometric formulas. To compute the volume of a pyramid with a rectangular base, you can utilize the formula: V = (base_area * height) / 3. Here, base_area is equal to base_length times base_width. Hence, the function pyramid_volume could be defined as follows:

Volume = lambda base_length, base_width, pyramid_height: (base_length * base_width * pyramid_height) / 3.

Thus, if you input 4.5, 2.1, and 3.0 as your base_length, base_width, pyramid_height respectively into the function, it will return the volume of the pyramid, which in this case is 9.45.

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Answer:

Explanation:

[tex]\dot x (t) - ax(t)=bu(t)\\\\e^{-at}\dot x = e^{-at}ax = \frac{d}{dt} (e^{-at})=e^{-at}bu\\\\\int\limits^t_0 \frac{d}{d\tau}(e^{-a\tau}x(\tau))d\tau=e^{-at}x(t)-x(0)=\int\limits^t_0 e^{-a\tau}bu(\tau))d\tau\\\\x(t)=e^{at}x(0)+ \int\limits^t_0 e^{-a(t-\tau)}bu(\tau))d\tau[/tex]

Similarly,

[tex]e^{-At}\dot x(t) -e^{-At}Ax(t) = \frac{d}{dt} (e^{-At}x(t))=e^{-At}Bu(t)\\\\\int\limits^t_0 \frac{d}{d\tau}(e^{-A\tau}x(\tau))d\tau=e^{-At}x(t)-e^{-A.0}x(0)=\int\limits^t_0 e^{-A\tau}Bu(\tau))d\tau\\\\since\:\:\:e^{-A.0}=I \:\:\: and\:\:\:[e^{-At}]^{-1}=e^{At}\\\\x(t)=e^{At}x(0)+ e^{At}\int\limits^t_0 e^{-A\tau}Bu(\tau))d\tau\\\\x(t)=e^{At}x(0)+ \int\limits^t_0 e^{A(t-\tau)}Bu(\tau))d\tau[/tex]

For initial condition x(0) = 0

[tex]x(t)= \int\limits^t_0 e^{A(t-\tau)}Bu(\tau))d\tau[/tex]

Answer:

(d) b and c

Explanation:

Given;

Function (true, 0, 2.6)

From the above, the function Function receives three arguments;

=>First argument (i.e true), is of type boolean

=>Second argument (i.e 0), is of type int, float or double since integers are inherently floating point numbers. Therefore 0 can be int, float or double.

=>Third argument (i.e 2.6), is a floating point number and could be of type float or double.

Therefore the method header for the function Function could be any of the following;

i). void Function (bool b, double d, double e)

ii). void Function (bool b, int c, double d)

iii). void Function (bool b, int d, float e)

iv). void Function (bool b, float d, double e)

v). void Function (bool b, double d, float e)

vi). void Function (bool b, float d, float e)

Note:

i. The ordered list above has ii and v in bold form to show that they are part of the options specified in the question.

ii. The letters b, c, d and e specified in the method declaration variations do not matter. Since they are just dummy variables, they can be any letter.

Therefore b and c are a correct representation for the method header.

Answer: No, the mining process isn't faster when you know in advance that the land must be restored.

Explanation:

The mining process would be slower when mining companies know in advance that the land must be restored because they have to be more careful about their impact on the environment & avoid taking unnecessary damage to ruin the land which they know they must restore.

So, it's evident how this would slow down the mining process. If there were no obligations to restore land, the mining companies would just come at the mining space and run their mining process fast without big concerns for the consequences.

But the caution definitely slows them down.

People often have different points of view. If I think mining process is faster when you know in advance that the land must be restored, My answer is No.

This is because even without miners been aware that the land had to be restored before mining, they still carelessly remove minerals without taking into cognizant the damage it will do to the land.

There are different processes of mining. They include;

The type of mining method used is usually based on the kind of resource that is needed, the deposit's location etc.

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Full Question

Write a static method called quadrant that takes as parameters a pair of real numbers representing an (x, y) point and that returns the quadrant number for that point.

Recall that quadrants are numbered as integers from 1 to 4 with the upper-right quadrant numbered 1 and the subsequent quadrants numbered in a counter-clockwise fashion. Notice that the quadrant is determined by whether the x and y coordinates are positive or negative numbers. If a point falls on the x-axis or the y-axis, then the method should return 0.

Answer

public int quadrant(double x, double y) // Line 1

{

if(x > 0 && y > 0){ //Line 2

return 1;

}

if(x < 0 && y > 0){ // Line 3

return 2;

}

if(x < 0 && y < 0) {// Line 4

return 3;

}

if(x > 0 && y < 0) {// Line 5

return 4;

}

return 0;

}

Explanation:

Line 1 defines the static method.

The method is named quadrant and its of type integer.

Along with the method definition, two variables x and y of type double are also declared

Line 2 checks if x and y are greater than 0.

If yes then the program returns 1

Line 3 checks if x is less than 0 and y is greater than 0

If yes then the program returns 2

Line 4 checks if x and y are less than 0

If yes then the program returns 3

Line 5 checks is x is greater than 0 and y is less than 0

If yes then the program returns 4

Answer:

All Brake lights are dimmer than normal because high resistance in the brake switch could be the cause according to Technician B.

Explanation:

According to Technician A

When the bulb is faulty then no current will flow through bulb and it will be open circuit.So no light will produce in bulb .

According to Technician B

When a high resistance inserted in series  circuit the voltage across each resistance is reduced and this cause the light glow dimly.

Formula of resistance in series circuit

Rt=r1+r2+r3......

Answer:

import java.util.Scanner;

  public class PeopleWeights {

    public static void main(String[] args) {

    Scanner reader = new Scanner(System.in);  

    double weightOne = reader.nextDouble();

    System.out.println("Enter 1st weight:");

    double weightTwo = reader.nextDouble();

    System.out.println("Enter 2nd weight :");

    double weightThree = reader.nextDouble();

    System.out.println("Enter 3rd weight :");

    double weightFour = reader.nextDouble();

    System.out.println("Enter 4th weight :");

    double weightFive = reader.nextDouble();

    System.out.println("Enter 5th weight :");

     double sum = weightOne + weightTwo + weightThree + weightFour + weightFive;

     double[] MyArr = new double[5];

     MyArr[0] = weightOne;

     MyArr[1] = weightTwo;

     MyArr[2] = weightThree;

     MyArr[3] = weightFour;

     MyArr[4] = weightFive;

     System.out.printf("You entered: " + "%.1f %.1f %.1f %.1f %.1f ", weightOne, weightTwo, weightThree, weightFour, weightFive);

     double average = sum / 5;

     System.out.println();

     System.out.println();

     System.out.println("Total weight: " + sum);

     System.out.println("Average weight: " + average);

     double max = MyArr[0];

     for (int counter = 1; counter < MyArr.length; counter++){

        if (MyArr[counter] > max){

           max = MyArr[counter];

        }

     }

     System.out.println("Max weight: " + max);

  }

import java.util.Scanner;

  public class PeopleWeights {

    public static void main(String[] args) {

    Scanner reader = new Scanner(System.in);  

    double weightOne = reader.nextDouble();

    System.out.println("Enter 1st weight:");

    double weightTwo = reader.nextDouble();

    System.out.println("Enter 2nd weight :");

    double weightThree = reader.nextDouble();

    System.out.println("Enter 3rd weight :");

    double weightFour = reader.nextDouble();

    System.out.println("Enter 4th weight :");

    double weightFive = reader.nextDouble();

    System.out.println("Enter 5th weight :");

     double sum = weightOne + weightTwo + weightThree + weightFour + weightFive;

     double[] MyArr = new double[5];

     MyArr[0] = weightOne;

     MyArr[1] = weightTwo;

     MyArr[2] = weightThree;

     MyArr[3] = weightFour;

     MyArr[4] = weightFive;

     System.out.printf("You entered: " + "%.1f %.1f %.1f %.1f %.1f ", weightOne, weightTwo, weightThree, weightFour, weightFive);

     double average = sum / 5;

     System.out.println();

     System.out.println();

     System.out.println("Total weight: " + sum);

     System.out.println("Average weight: " + average);

     double max = MyArr[0];

     for (int counter = 1; counter < MyArr.length; counter++){

        if (MyArr[counter] > max){

           max = MyArr[counter];

        }

     }

     System.out.println("Max weight: " + max);

  }

Answer:

The source code file to this question has been attached to this response. Please download it and go through it. The file contains comments explaining significant sections of the code. Please go through the comments in the code.

The particle's position at t = 2 s is (11 ft, 2 ft, 21 ft).

To determine the particle's position at t = 2 s, we need to integrate the acceleration function twice. First, we'll find the velocity function:

[tex]\[ \mathbf{v}(t) =\int \mathbf{a}(t) \, dt \][/tex]

[tex]\[ \int (6t\mathbf{i} + 12t^2 \mathbf{k}) \, dt \\= 3t^2 \mathbf{i} + 4t^3 \mathbf{k} + \mathbf{C} \][/tex]

where C₁ is the constant of integration.

Next, we'll find the position function:

[tex]\[ \mathbf{v}(t) = \int (3t^2 \mathbf{i} + 4t^3 \mathbf{k} + \mathbf{C}_1) \, dt \\= t^3 \mathbf{i} + t^4 \mathbf{k} + \mathbf{C}_1 t + \mathbf{C}_2 \][/tex]

where C₂ is the constant of integration.

Given the initial conditions, we know that at t = 0, the particle is at rest (v = 0) and located at point (3 ft, 2 ft, 5 ft). We can use these conditions to find the values of C₁ and C₂:

[tex]c_{1} = (0 i + 0 j + 0 k) - (3(0^{2} i + 4(0^{4} k) = 0[/tex]

[tex]c_{2}[/tex][tex]= (3 i + 2 j + 5 k)[/tex] - ([tex]i + 0^{4}k[/tex] )

[tex]= (3 i + 2 j + 5 k)[/tex]

Now we can find the position at t = 2 s:

= [tex]2^{3}[/tex][tex]i[/tex] + [tex]2^{4}[/tex][tex]k + (0)(2) + (3 i + 2 j + 5 k)[/tex]

[tex]= (8 i + 16 k) + (3 i + 2 j + 5 k)[/tex]

[tex]= (11 i + 2 j + 21 k)[/tex]

So the particle's position at t = 2 s is (11 ft, 2 ft, 21 ft).

To calculate the mechanical power used to overcome friction in piping for the described pump operation, calculate the hydraulic power needed, then subtract the pump's output power (based on its efficiency) from its total input.

The question involves determining the mechanical power used to overcome frictional effects in piping for an 80-percent-efficient pump with a power input of 20 hp, which is pumping water at a rate of 1.5 ft3/s from a lake to a pool 80 ft above. Firstly, calculate the total hydraulic power required to move the water to the desired height, then calculate the power output of the pump based on its efficiency. Finally, subtract this value from the total input power to find the power used to overcome friction.

Through such calculations, one can find that the mechanical power used to overcome frictional effects in piping is 2.37 hp.

You can use a series of commands to accomplish various tasks in GDB: 'print /x test' to view a variable in hex format, 'x/4wx $sp' to read the top four bytes on your stack by word, 'info registers' to check all register values, and 'break ece.c:391' to set a breakpoint at a specific line.

To achieve the tasks in GDB, you will need to use the following commands:

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Answer:

The area of solar panel needed in Buffalo is 22.83 m²

The area of solar panel needed in Phoenix is 31 m²

Explanation:

FOR BUFFALO:

First we, calculate the the annual power requirement by dividing the energy by the time of 1 year.

Therefore,

Power Requirement = P = 6000 KWhr/(1 yr)(365 days/yr)(24 hr/day)

P = 684.93 W

Now, to calculate the area we use the formula:

Area = A = P/(Annual Insolation)(Conversion Factor)

A = 684.93 W/(200 W/m²)(0.15)

A = 22.83 m²

FOR PHOENIX:

First we, calculate the the annual power requirement by dividing the energy by the time of 1 year.

Therefore,

Power Requirement = P = 11000 KWhr/(1 yr)(365 days/yr)(24 hr/day)

P = 1255.7 W

Now, to calculate the area we use the formula:

Area = A = P/(Annual Insolation)(Conversion Factor)

A = 1255.7 W/(270 W/m²)(0.15)

A = 31 m²

Answer:

Explanation: 100 and 110 Hz

Here fL=2kHz, fH=2.1kHz, B=0.1kHz, fL=2kHz,  

n≤fH/(fH-fL)

n≤(2.1*1000)/((2.1-2)*1000)

n≤20

2fH/n  ≤ fs

(2*2.1*1000)/20 ≤ fs

210≤ fs

Answer:

vec(a) = 16 i + 16 j

mag(a) = 22.63 ft/s^2

Explanation:

Given,

- The two components of velocity are given for fluid flow:

                                       u = 4*y ft/s

                                       v = 4*x ft/s

Find:

What is the time rate of change of the velocity vector V (i.e., the acceleration vector) for a fluid particle at x = 1 ft. and y = 1 ft. at time t = 1 second?

Solution:

- The rate of change of velocity is given to be acceleration. We will take derivative of each components of velocity with respect to time t:

                                      a_x = du / dt

                                      a_x = 4*dy/dt

                                      a_y = dv/dt

                                      a_y = 4*dx/dt

- The expressions dx/dt is the velocity component u and dy/dt is the velocity component v:

                                     a_x = 4*(4*y) = 16y

                                     a_y = 4*(4*x) = 16x

- The acceleration vector can be expressed by:

                                     vec(a) = 16y i + 16x j

- Evaluate vector (a) at x = 1 and y = 1:

                                     vec(a) = 16*1 i + 16*1 j = 16 i + 16 j

- The magnitude of acceleration is given by:

                                     mag(a) = sqrt ( a^2_x + a^2_y )

                                     mag(a) = sqrt ( 16^2 + 16^2 )

                                     mag(a) = 22.63 ft/s^2

Answer:

- Provides an overview of your points

Provides a review of your key points near the end of your presentation

Provides transitions as you move from point to point

Explanation:

What does a blueprint slide do? Check all that apply. Provides a review of your key points near the end of your presentation Provides transitions as you move from point to point Provides an overview of your points Provides a clear explanation of one main point Provides a template for your presentation outline

- Provides an overview of your points

Provides a review of your key points near the end of your presentation

Provides transitions as you move from point to point

. A blueprint slide would not be useful for a clear explanation of one point or as a template for your outline. You would have to use a different slide layouts.

Blueprints slide establishes how you are going to work through your presentation. it is on the introductory part of your presentation.

Contains a description of your statements, a recap of your important points after your presentations, and transitioning as you get further from source to destination.

Thus the response above is correct.

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