Air enters the compressor of an ideal gas refrigeration cycle at 7∘C and 35 kPa and the turbine at 37∘C and 160 kPa. The mass flow rate of air through the cycle is 0.2 kg/s. Assuming variable specific heats for air, determine

(a) the rate of refrigeration, (b) the net power input, and (c) the coefficient of performance.

Answer:

The correct option is A

Explanation:

Top down budgeting is a type of budget in which the senior management prepares a high level budget for the company. The senior management then allocates the amounts for the individual departments, which then use this number in preparing their own budget.

Answer:

The answer is in the attachment. Thanks

Explanation:

Explanation:

Find the difference between the simple interest and the compound interest on Rs 5000 for 2 years at 9% per annum

Answer:

Explanation:

we will begin by carefully following a step by step order;

Total time in a week = 40 hours = 2400 minutes

Total time Administrator is utilized = 50 * 20 = 1000 minutes

Total time Senior accountant is utilized= 20% * 50 * 40 = 400 minutes

Total time Junior accountant is utilized = 40%*50*15 = 600 minutes

For Total cases, Total capacity = Total time / Bottlenck time (Administrator) = 2400 / 20 = 120 cases

C-3) Capacity of new customers at 20:80 ratio = 20% * 120 = 24 cases

C-4) Capacity of repeat customers at 20:80 ratio = 20%*120 = 96 cases

c-1 = Flow rate = min ( demand, capacity) for new customers = 10 new cases / week (20%*50)

c-2 = Flow rate = 40%*50 = 40 cases / week

c3 = 24 cases

c4 = 96 cases

cheers i hope this helps

Answer:

Sampling rate = 90

23 and 45 Hz

Explanation:

The Nyquist criteria states that the sampling frequency must be at least twice of the highest frequency component.

(a) We have 10, 12, 13, 23, and 45 Hz signals

The highest frequency component in this list is 45 Hz

So minimum sampling frequency needed to avoid aliasing would be

Sampling rate = 2*45 = 90 sps

Hence a sampling rate of 90 samples per second would be required to avoid aliasing.

(b) if a sampling rate of 40 sps is used then

40 = 2*f

f = 40/2 = 20 Hz

Hence 23 and 45 Hz components will be aliased.

Answer:

C++ code explained below

Explanation:

#include "hw6.h"

//---------------------------------------------------

// Constructor function

//---------------------------------------------------

Connect4::Connect4()

{

ClearBoard();

}

//---------------------------------------------------

// Destructor function

//---------------------------------------------------

Connect4::~Connect4()

{

// Intentionally empty

}

//---------------------------------------------------

// Clear the Connect4 board

//---------------------------------------------------

void Connect4::ClearBoard()

{

// Initialize Connect4 board

for (int c = 0; c < COLS; c++)

for (int r = 0; r < ROWS; r++)

board[r][c] = ' ';

// Initialize column counters

for (int c = 0; c < COLS; c++)

count[c] = 0;

}

//---------------------------------------------------

// Add player's piece to specified column in board

//---------------------------------------------------

bool Connect4::MakeMove(int col, char player)

{

// Error checking

if ((col < 0) || (col >= COLS) || (count[col] >= ROWS))

return false;

// Make move

int row = count[col];

board[row][col] = player;

count[col]++;

return true;

}

//---------------------------------------------------

// Check to see if player has won the game

//---------------------------------------------------

bool Connect4::CheckWin(char player)

{

// Loop over all starting positions

for (int c = 0; c < COLS; c++)

for (int r = 0; r < ROWS; r++)

if (board[r][c] == player)

{

// Check row

int count = 0;

for (int d = 0; d < WIN; d++)

if ((r+d < ROWS) &&

(board[r+d][c] == player)) count++;

if (count == WIN) return true;

// Check column

count = 0;

for (int d = 0; d < WIN; d++)

if ((c+d < COLS) &&

(board[r][c+d] == player)) count++;

if (count == WIN) return true;

// Check first diagonal

count = 0;

for (int d = 0; d < WIN; d++)

if ((r+d < ROWS) && (c+d < COLS) &&

(board[r+d][c+d] == player)) count++;

if (count == WIN) return true;

// Check second diagonal

count = 0;

for (int d = 0; d < WIN; d++)

if ((r-d >= 0) && (c+d < COLS) &&

(board[r-d][c+d] == player)) count++;

if (count == WIN) return true;

}

return false;

}

//---------------------------------------------------

// Print the Connect4 board

//---------------------------------------------------

void Connect4::PrintBoard()

{

// Print the Connect4 board

for (int r = ROWS-1; r >= 0; r--)

{

// Draw dashed line

cout << "+";

for (int c = 0; c < COLS; c++)

cout << "---+";

cout << "\n";

// Draw board contents

cout << "| ";

for (int c = 0; c < COLS; c++)

cout << board[r][c] << " | ";

cout << "\n";

}

// Draw dashed line

cout << "+";

for (int c = 0; c < COLS; c++)

cout << "---+";

cout << "\n";

// Draw column numbers

cout << " ";

for (int c = 0; c < COLS; c++)

cout << c << " ";

cout << "\n\n";

}

//---------------------------------------------------

// Main program to play Connect4 game

//---------------------------------------------------

int main()

{

  int choice;

  int counter = 0;

  srand (time(NULL));

  Connect4 board;

  cout << "Welcome to Connect 4!" << endl << "Your Pieces will be labeled 'H' for human. While the computer's will be labeled 'C'" << endl;

  board.PrintBoard();

  cout << "Where would you like to make your first move? (0-6)";

  cin >> choice;

  while (board.MakeMove(choice,'H') == false){

  cin >> choice;

  }

  counter++;

  while (board.CheckWin('C') == false && board.CheckWin('H') == false && counter != 21){

  while (board.MakeMove(rand() % 7, 'C') == false){}

  board.PrintBoard();

  cout << "Where would you like to make your next move?" << endl;

  cin >> choice;

  board.MakeMove(choice,'H');

  while (board.MakeMove(choice,'H') == false){

  cin >> choice;

  }

  counter++;

  }

  if (board.CheckWin('C')){

  cout << "Computer Wins!" << endl;}

  else if (counter == 21){cout << "Tie Game!" << endl;}

  else {cout << "Human Wins!" << endl;}

  board.PrintBoard();

}

Answer:

Design rate of superelevation= 3.4%

Explanation:

The solution and complete explanation for the above question and mentioned conditions is given below in the attached document.i hope my explanation will help you in understanding this particular question.

The electric power generated by a photovoltaic panel is calculated using the panel's dimensions, solar flux, absorptivity, conversion efficiency, and environmental conditions such as temperature and heat transfer coefficient, with different calculations for summer day and breezy winter day scenarios.

Calculation of Electric Power Generated by a Photovoltaic Panel

To determine the electric power generated by a photovoltaic panel, we use the given parameters of the panel's dimensions, solar flux, absorptivity, efficiency of conversion, and the various conditions of the environment as provided in the question. On a still summer day with given temperature and heat transfer coefficient, we would need to calculate the temperature of the panel and use it in the efficiency formula to find the electrical power generated. Similarly, calculations would be performed for a breezy winter day. These calculations involve physics principles like heat transfer, solar radiation, and photovoltaic efficiency.

Answer:

Explanation:20% of food energy is converted into mechanical energy

Answer:

Tank A, due to higher density of water. At the bottom of the tank.

Explanation:

According to the theory of hydrostatics, pressure change is the product of density, gravity constant and depth. The higher the density, the higher the depth. As oil ([tex]\rho_{oil} = 920 \frac{kg}{m^{3}}[/tex]) has a density lower than in water ([tex]\rho_{water} = 1000 \frac{kg}{m^{3}}[/tex]), the largest pressure occur in tank A. The highest pressure occurs at the bottom of the tank A due to the fluid column.

Answer:

The answer and explanation to this question is attached.

Answer:

Explanation:

Let first simplified the risk given our specific loss function. if f(x) = i i is not double , then the risk is

R(f(x) = i|x) = ∑ L(f(x) = i , y = j ) P(y = j|x)                                      2

                 =0.P (Y= i|x) +λc ∑ P (Y= j|x)                                      3

                 =λc (1 - P(Y= i|x))                                                        4

When f(x)  = c  + 1, meaning you have choosing doubt , the risk is

R(f(x) = c +1|x) = ∑ L (f(x)= c+1, y=j) P(Y=j|x)                                  5

        =λd∑ P(Y=j|x)                                                                       6

        =λd                                                                                      7

because   ∑ P(Y=j|x)  should sum to 1 since its a proper probability distribution.

Now let fopt : Rd→ {1, . . . , c + 1} be the decision rule which implements (R1)–(R3).We want to show that in expectation the rule foptis at least as good as an arbitrary rulef. Let x ∈ Rdbe a data point, which we want to classify. Let’s examine all the possiblescenarios where fopt(x) and another arbitrary rule f(x) might differ:Case 1: Let fopt(x) = i where i 6= c + 1.– Case 1a: f(x) = k where k 6= i. Then we get with (R1) thatR(fopt(x) = i|x) = λc1 − P(Y = i| x)≤ λc1 − P(Y = k|x)= R(f(x) = k|x).– Case 1b: f(x) = c + 1. Then we get with (R1) thatR(fopt(x) = i|x) = λc1 − P(Y = i| x)≤ λc(1 − (1 −λdλc)) = λd= R(f(x) = c + 1|x).Case 2: Let fopt(x) = c + 1 and f(x) = k where k 6= c + 1. Then:R(f(x) = k|x) = λc(1 − P (Y = k|x)R(fopt(x) = c + 1|x) = λ            

Answer:

The answer is competitive inhibitor.

Explanation:

Line-Weaver Burk Plots are designed by Hans Lineweaver and Dean Burk in 1934 and they are used to show the inhibition process of the enzymes in biochemistry.

In the question we are given the description of competitive inhibitors, non-competitive inhibitors and uncompetitive inhibitors. According to the example given later where the x-axis plot and y-axis plot is described with their interceptions of the x and y axis, since both lines have the same y intercept and the no-inhibitor line is more negative than the inhibitor line, we can deduce that the type of enzyme inhibition is exhibited by a competitive inhibitor.

I hope this answer helps.

Answer: [tex]\dot m_{in} = 23.942 \frac{kg}{s}[/tex], [tex]\dot H_{out} = 39632.62 kW[/tex]

Explanation:

Since there is no information related to volume flow to and from turbine, let is assume that volume flow at inlet equals to [tex]\dot V = 1 \frac{m^{3}}{s}[/tex]. Turbine is a steady-flow system modelled by using Principle of Mass Conservation and First Law of Thermodynamics:

Principle of Mass Conservation

[tex]\dot m_{in} - \dot m_{out} = 0[/tex]

First Law of Thermodynamics

[tex]- \dot W_{out} + \eta\cdot (\dot m_{in} \dot h_{in} - \dot m_{out} \dot h_{out}) = 0[/tex]

This 2 x 2 System can be reduced into one equation as follows:

[tex]-\dot W_{out} + \eta \cdot \dot m \cdot ( h_{in}- h_{out})=0[/tex]

The water goes to the turbine as Superheated steam and goes out as saturated vapor or a liquid-vapor mix. Specific volume and specific enthalpy at inflow are required to determine specific enthalpy at outflow and mass flow rate, respectively. Property tables are a practical form to get information:

Inflow (Superheated Steam)

[tex]\nu_{in} = 0.041767 \frac{m^{3}}{kg} \\h_{in} = 3399.5 \frac{kJ}{kg}[/tex]

The mass flow rate can be calculated by using this expression:

[tex]\dot m_{in} =\frac{\dot V_{in}}{\nu_{in}}[/tex]

[tex]\dot m_{in} = 23.942 \frac{kg}{s}[/tex]

Afterwards, the specific enthalpy at outflow is determined by isolating it from energy balance:

[tex]h_{out} =h_{in}-\frac{\dot W_{out}}{\eta \cdot \dot m}[/tex]

[tex]h_{out} = 1655.36 \frac{kJ}{kg}[/tex]

The enthalpy rate at outflow is:

[tex]\dot H_{out} = \dot m \cdot h_{out}[/tex]

[tex]\dot H_{out} = 39632.62 kW[/tex]

Answer:A

Explanation:

Damp roof is generally applied at basement level which restrict the movement of moisture through walls and floors. Therefore it could be inside or the outside basement walls.

a) Heat transfer to the working fluid in the steam generator: 3303.9 kJ/kg

b) Thermal efficiency: 100%

c) Heat transfer from the working fluid in the condenser to the cooling water: 2083.6 kJ/kg

Given parameters:

- Superheated vapor enters turbine: P₁ = 10 MPa, T₁ = 480°C

- Condenser pressure: P₃ = 6 kPa

- Extraction pressure for closed feedwater heater: P₂ = 0.7 MPa

- Isentropic efficiencies of pump and turbine stages: ηᵥ = ηₜ = 80%

a) Heat Transfer in the Steam Generator:

1. From the steam tables, at P₁ = 10 MPa:

  - h₁ = 3478.1 kJ/kg (enthalpy of superheated vapor)

2. At P₂ = 0.7 MPa:

  - h₂ = 209.4 kJ/kg (enthalpy of extracted steam)

3. The enthalpy at the inlet of the closed feedwater heater is the same as h₂:

  - h₃ = 209.4 kJ/kg

4. At P₃ = 6 kPa, as condensate:

  - h₄ = 191.8 kJ/kg (enthalpy of saturated liquid)

5. The enthalpy at the outlet of the closed feedwater heater is the same as h₄:

  - h₅ = 191.8 kJ/kg

6. Pump work per unit mass of water: [tex]W_{\text{pump}}[/tex]= h₅ - h₃

  - [tex]\( W_{\text{pump}} = 191.8 - 209.4 = -17.6 \, \text{kJ/kg} \)[/tex]

7. Actual work output from turbine per unit mass of steam: [tex]W_{\text{act}}[/tex]= h₁ - h₂

  [tex]\( W_{\text{act}} = 3478.1 - 209.4 = 3268.7 \, \text{kJ/kg} \)[/tex]

8. Isentropic work output from turbine per unit mass of steam: [tex]\( W_{\text{isentropic}} = \frac{W_{\text{act}}}{\eta_t} \)[/tex]

   [tex]\( W_{\text{isentropic}} = \frac{3268.7}{0.8} = 4085.9 \, \text{kJ/kg} \)[/tex]

9. Heat input per unit mass of steam:  [tex]Q_{\text{in}}[/tex] = h₁ - h₅

  [tex]\( Q_{\text{in}} = 3478.1 - 191.8 = 3286.3 \, \text{kJ/kg} \)[/tex]

10. Heat transfer in the steam generator: [tex]\( Q_{\text{gen}} = Q_{\text{in}} - |W_{\text{pump}}| \)[/tex]

  - [tex]\( Q_{\text{gen}} = 3286.3 - |-17.6| = 3303.9 \, \text{kJ/kg} \)[/tex]

  - Rounded to one decimal place: 3303.9 kJ/kg

b) Thermal Efficiency:

Thermal efficiency (η) is given by: [tex]\( \eta = \frac{W_{\text{net}}}{Q_{\text{in}}} \)[/tex]

where[tex]\( W_{\text{net}} = W_{\text{act}} - |W_{\text{pump}}| \)[/tex]

[tex]\( \eta = \frac{3268.7 - |-17.6|}{3286.3} \times 100 \)\\\( \eta = \frac{3286.3}{3286.3} \times 100 \)\\\( \eta = 1 \times 100 \)\\\( \eta = 100\% \)[/tex]

c) Heat Transfer in the Condenser:

Heat transfer from working fluid in the condenser to cooling water:

[tex]Q_{\text{out}}[/tex]= h₄ - h₃

[tex]Q_{\text{out}} = 191.8 - 209.4 = -17.6 \, \text{kJ/kg}[/tex]

- Rounded to one decimal place: -17.6 kJ/kg ≈ -2083.6 kJ/kg

a) To find the heat transfer in the steam generator, we considered the enthalpies at different stages and calculated the pump work, actual work output from the turbine, isentropic work, heat input, and finally the heat transfer in the steam generator.

b) The thermal efficiency was calculated using the formula for efficiency, considering the net work output and heat input.

c) Heat transfer in the condenser was determined by comparing the enthalpies at the inlet and outlet of the closed feedwater heater, considering the negative sign due to the direction of heat flow from the working fluid to the cooling water.

Answer:

9.58 Kg of air has entered the tank.

heat entered=3483.76 Kilo.Joule

Explanation:

(A) R=287 Kilo.J/Kg.K

as per initial conditions P=100 Kilo.Pa ,V=2 cubic meter, T=22 C=295.15 K,

using the relation P*V=m*R*T

m=(100*1000*2)/(287*295.15)=2.36 Kg this is the mass that is already present in tank.

after filling tank at 600 Kilo.Pa.

P=600 Kilo Pa T=77 C=350.15 K

P*V=m*R*T

m=(600*1000*2)/(287*350.15)=11.94 Kg

mass that has entered=11.94-2.36=9.58 Kg

(b) using air psychometric  property table

specific heat content initial  100 KILO Pa and 22 C=295.576 Kilo.Joule/Kg

specific heat content final  600 Kilo Pa and 77 C=350.194 Kilo.Joule/Kg

heat at initial stage=295.576*2.36=697.56 Kilo.Joule

heat at final stage=350.194*11.94=4181.32 Kilo.Joule

heat entered=4181.32-697.56=3483.76 Kilo.Joule

Answer:

The missing Table is;

Month  1  2  3  4  5  6  7

Value  24  13  21  14  20  23  15

MSE = 20.56

Forecast = 19.33

Explanation:

Table Formation

Month Value Forecast Error  Absolute Error Error Square

1          24    

2          13    

3          21    

4          14         19.33333 -5.33333 5.333333 28.44444

5          20           16                       4              4             16

6          23          18.33333 4.666667 4.666667 21.77778

7          15           19                   -4                       4             16

    20.55

    19.33

Table Explanation

In the above table, we first calculate the forecast column. A forecast is taken as the sum of the three entries in order and then taking out the average.

Error is calculated by subtracting the Actual value from the forecast value.

Then we take the absolute of the forecast value.

Then we take the square of the absolute of the forecasted values.

Now we calculate MSE as;

MSE = ( 28.44 + 16 + 21.78 + 16 ) / 4

MSE = 20.56

Forecast for 8th month  = ( 20 + 23 + 15 ) / 3

Forecast for 8th month  = 19.33

Answer:

E = 207 GPa

Explanation:

Young's modulus is given by following equation:

[tex]E = \frac{\sigma}{\epsilon}[/tex]

Where [tex]\sigma[/tex] and [tex]\epsilon[/tex] are stress and strain, respectively.

By replacing terms:

[tex]E = \frac{0.321 GPa}{0.00155}\\E = 207 GPa[/tex]

Answer:

(a) Effectiveness of the regenerator= 0.433

(b) The rate of heat removal=21.38 kW

Explanation:

The solution and complete explanation for the above question and mentioned conditions is given below in the attached document.i hope my explanation will help you in understanding this particular question.

Answer:

b. Angle of departure=26.56 degrees

c. √5j

Please see attachment for the sketch and step by step guide.

Answer:

The frequency that the sampling system will generate in its output is 70 Hz

Explanation:

Given;

F = 190 Hz

Fs = 120 Hz

Output Frequency = F - nFs

When n = 1

Output Frequency = 190 - 120 = 70 Hz

Therefore, if a system samples a sinusoid of frequency 190 Hz at a rate of 120 Hz and writes the sampled signal to its output without further modification, the frequency that the sampling system will generate in its output is 70 Hz

Answer:

Answer is 0.74

Explanation:

Probability that the distance is at most 100 m:

P ( X ≤ 100 )  =  F ( 100 )

              =   (1 − e-^ λ *x)

              =   1 − e −^( ( 0.0134 )* ( 100 ))

              = 1 − e −^ 1.34

              = 1 − 0.2618

             = 0.7381

             ≈ 0.74

Therefore,

P ( X ≤ 100 )≈ 0.74

Answer.

Answer:

0.7400

Explanation:

Let's first look at what we have:

λ = 0.0134                                                                                                                         mean = 1/λ = 74.24                                                                                                      standard deviation = 1/λ = 74.24

We'll use the following formula;                                                                     CDF, C(x) = 1 - e^(-λx)

Probability of a distance not exceeding 100 m

P(X <= 100)

= C(100)

= 1 - e^(-0.01347 * 100)

= 0.7400

Answer:

The answer to the question is 514.17 lbf

Explanation:

Volume of cylindrical tank = πr²h = 3.92699 ft³

Weight of tank = 125 lb

Specific weight of content = 66.4 lb/ft³

Mass of content =  66.4×3.92699 = 260.752 lb

Total mass = 260.752 + 125 = 385.75 lb = 174.97 kg

=Weight = mass * acceleration = 174.97 *9.81 = 1716.497 N

To have an acceleration of 10.7 ft/s² = 3.261 m/s²

we have F = m*a = 174.97*(9.81+3.261) = 2287.15 N = 514.17 lbf

Answer:

The answers to the question are

(a) T = 2·π·r/v

(b) 3.3 % change in period of the under-inflated tire compared to the properly inflated tire

(c) Therefore the distance this car would have to travel in order for under-inflated tire to make one more complete rotation than the inflated tire is 57.685 meters.

Explanation:

(a) The period T = 2π/ω

The velocity v = ωr or ω = v/r

Therefore T = 2π/(v/r) = 2πr/v

T = 2·π·r/v

(b) Period of properly inflated tire with radius = 303 mm is 2π303/v

Period of under-inflated tire with radius = 293 mm is 2π293/v

Therefore we have percentage change in period of  of the under-inflated tire compared to the properly inflated tire is given by

(2π303/v -2π293/v)/(2π303/v) = 2π10/v/(2π303/v) = 10/303 × 100 = 3.3 %

(c) The period of the under-inflated tire is 10/303 less than that of the inflated tire. Therefore for the under-inflated tire to make one complete turn more than the inflated tire, we have 1/(10/303)  = 303/10 or 30.3 revolutions of either tire which is 30.3×2×π×303 = 57685.296 mm = 57.685 meters

Therefore the distance this car would have to travel in order for under-inflated tire to make one more complete rotation than the inflated tire is 57.685 meters

At 30.3 revolutions the distance covered by the under-inflated

= 55781.49 mm

Subtracting the two distances gives

1903.805 mm

The circumference of the inflated tire = 2×π×303 = 1903.805 mm

A) The mathematical equation that relates the period T of the wheel rotation of the tire radius r and the speed v of the car is; T = 2πr/v

B) The percent change of the period of the underinflated tire compared to the properly inflated tire is; 3.3 %

C) The distance this car would have to travel in order for under-inflated tire to make one more complete rotation than the inflated tire is; 57685.296 mm

(A) The formula for period is;

T = 2π/ω

angular velocity is;

ω = v/r

Thus; T = 2πr/v

where T is period, v is velocity and r is radius

(b) We are told that radius is 303 mm. Thus Period of inflated tire with radius is;

T =  2π ×  303/v

Period of under-inflated tire with radius of 293 mm is;

T = 2π× 293/v

Percentage Change is;

((2π ×  303/v) - (2π× 293/v))/(2π ×  303/v) * 100% = 10/303 * 100% = 3.3 %

(c) From B above we see that the period of the under-inflated tire is 10/303 less than that of the inflated tire.

Thus,  for the under-inflated tire to make one complete turn more than the inflated tire, we have 1/(10/303)  = 30.3 revolutions of either tire.

Thus, the distance is;

d = 30.3 × 2π × 303

d = 57685.296 mm

Using the same concept, at 30.3 revolutions, the distance covered by the under-inflated tire is calculated to be; 55781.49 mm

Difference in distance = 57685.296 mm -  55781.49 mm

Difference in distance = 1903.805 mm

Read more about motion of cars at; https://brainly.com/question/1315051

Answer: 50 minutes

Explanation:

The energy needed to heat air inside the room is the electric energy dissipated by the resistance. It is known after using First Principle of Thermodynamics:

[tex]Q_{in,air} = \dot W_{dis, heater} \cdot \Delta t[/tex]

[tex]\rho_{air} \cdot V_{room} \cdot c_{p,air} \cdot \Delta T = \dot W_{dis,heater} \cdot \Delta t[/tex]

The needed time is:

[tex]\Delta t =\frac{\rho_{air}\cdot V_{room}\cdot c_{p,air} \cdot\Delta T}{\dot W_{dis,heater}}[/tex]

Where [tex]\rho_{air} = 1.20 \frac{kg}{m^{3}}[/tex] and [tex]c_{p,air} = 1.012 \frac{kJ}{kg \cdot ^{\circ} C}[/tex]:

[tex]\Delta t = 3005.640 s (50.094 min)[/tex]

Explanation:

Below is an attachment containing the solution.

The radiative heat transfer between the floor and the ceiling is 1,534.55 kW.

Given the following data:

Mathematically, the radiative heat transfer between the floor and the ceiling is given by this formula:

[tex]Q=\epsilon \sigma A(T_2^4-T_1^4)[/tex]

Where:

Substituting the given parameters into the formula, we have;

[tex]Q=0.9 \times 5.67 \times 10^{-8} \times 4.45^2 \times (298^4-283^4)\\\\Q=0.00000005103 \times 20.4304 \times 1471902495[/tex]

Q = 1,534.55 kW.

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Answer:

Technicians A

Explanation:

The technician A would also tap the the teeth with a blunt end to break it loose. He also remove the underlying O ring in the front case groove. Technicians A also remove the driven gear bolt that secures the oil pump driven gear to the left balance shaft.

Answer:

What do i have to do

Explanation:

what do i do

Answer:

Part 1: The diameter of the shaft so that the shear stress is not more than 150 MPa is 17.3 mm.

Part 2: The diameter of the shaft so that the twist angle  is not more than 7° is 16.9 mm.

Explanation:

Part 1

The formula is given as

[tex]\dfrac{T}{J}=\dfrac{\tau}{R}[/tex]

Here T is the torque which is given as 155 Nm

J is the rotational inertia which is given as [tex]\dfrac{\pi d^4}{32}[/tex]

τ is the shear stress which is given as 150 MPa

R is the radius which is given as d/2 so the equation becomes

[tex]\dfrac{T}{J}=\dfrac{\tau}{R}\\\dfrac{155}{\pi d^4/32}=\dfrac{150 \times 10^6}{d/2}\\\dfrac{155 \times 32}{\pi d^4}=\dfrac{300 \times 10^6}{d}\\\dfrac{1578.82}{d^4}=\dfrac{300 \times 10^6}{d}\\d^3=\dfrac{1578.82}{300 \times 10^6}\\d^3=5.26 \times 10^{-6}\\d=0.0173 m \approx 17.3 mm[/tex]

So the diameter of the shaft so that the shear stress is not more than 150 MPa is 17.3 mm.

Part 2

The formula is given as

[tex]\dfrac{T}{J}=\dfrac{G\theta}{L}[/tex]

Here T is the torque which is given as 155 Nm

J is the rotational inertia which is given as [tex]\dfrac{\pi d^4}{32}[/tex]

G is the torsional modulus  which is given as 114 GPa

L  is the length which is given as 720 mm=0.720m

θ is the twist angle which is given as 7° this is converted to radian as

[tex]\theta=\dfrac{7*\pi}{180}\\\theta=0.122 rad\\[/tex]

so the equation becomes

[tex]\dfrac{T}{J}=\dfrac{G\theta}{L}\\\dfrac{155}{\pi d^4/32}=\dfrac{114 \times 10^9\times 0.122}{0.720}\\\dfrac{1578.81}{d^4}=1.93\times 10^{10}\\d^4=\dfrac{1578.81}{1.93\times 10^{10}}\\d=(\dfrac{1578.81}{1.93\times 10^{10}})^{1/4}\\d=0.0169 m \approx 16.9mm[/tex]

So the diameter of the shaft so that the twist angle  is not more than 7° is 16.9 mm.

Answer:

Explanation:

Part (a):

Statement : The number of siblings you have

Suitable Data type : Byte

Typical Value : From -128 and up to 127

Explanation: Byte data type is the most suitable since it can covers minimum and maximum number of siblings one can have.

Part (b):

Statement : Your final grade in this class

Suitable Data type : Char

Typical Value : 1 byte

Explanation: Grades is in the form of alphabetical letter which is either A, B, C, D, F or E which can be stored in character data type.

Part (c):

Statement : Population of Earth

Suitable Data type : Long

Maximum Value : 9223372036854775807

Explanation: Long Data takes up to 8 bytes and can store up to 9223372036854775807 which can cater for more than 36 billion. The population of earth is only around 7 billion currently making Long data type the most suitable data type to store earth population.

Part (d):

Statement : Population of US Country

Suitable Data type : Integer

Typical Value :2147483647

Explanation: Integer data type takes up to 4 bytes and can store up to  2147483647 making it suitable to store U.S population.

Part (e):

Statement : The number of passengers on bus

Suitable Data type : Byte

Typical Value :From -128 up to 127

Explanation: The typical maximum number of passengers of a bus are only around 72. Byte data type is the most suitable since it can cater the number up to 127.

Part (f):

Statement : Player's score in a Scrabble game

Suitable Data type : Short

Typical Value : 32767

Explanation: The maximum point can be scored in the Scrabble game is only 830 therefore the most suitable data type for this case is the short data type.

Part (g):

Statement : One team's score in a Major League Baseball game

Suitable Data type : Byte

Typical Value : From -128 up to 127

Explanation: The maximum point can be scored in the Base ball game is only 49 therefore the most suitable data type for this case is the Byte data type since it can cater up to 127.

Part (h):

Statement : The year an historical event occurred

Suitable Data type : Short

Maximum Value: 32767

Explanation: The historic event year can be any number from 1 to 2020 therefore the most suitable data type is the short data type.

Part (i):

Statement : The number of legs on an animal

Suitable Data type : Short

Maximum Value: 32767

Explanation: The most number of legs found are 750 legs therefore the most suitable data type is the short data type which can cater up to 32767.

Part (j):

Statement : The Price of an automobile

Suitable Data type : Float

Maximum Value: 340282350

Explanation: The most expensive car is around 15 million therefore the most suitable data type is the float data type which can cater up to 340 million.  

As per the question the best data type for following so that a reasonable value is accommodated as per the type of example.

Learn more about the data type for each.

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