2. A D flip flop can be made to operate in a toggle mode (divide its CLOCK input frequency by two) by adding an external Inverter gate and making the appropriate connections. Draw the schematic for this circuit.

Answers

Answer 1

Answer:

Attached below

Explanation:

Schematic of the D Flip flop is attached below

A D flip flop is used to delay change of state of its output signal and it can be made to operate in Toggle mode as shown i n the schematic diagram below .

2. A D Flip Flop Can Be Made To Operate In A Toggle Mode (divide Its CLOCK Input Frequency By Two) By

Related Questions

HOW TO CALCULATE MARGINAL RATE

Answers

Answer:

Divide the difference in tax by the amount of income from the investment, and you'll get the economic marginal tax rate from investing. Most people refer to marginal tax rates as being identical to tax brackets.

hope this helps

have a good day :)

Explanation:

Two semiconductor materials have exactly the same properties except material A has a bandgap energy of 0.90 eV and material B has a bandgap energy of 1.10 eV. Determine the ratio of

Answers

Answer: hello your question is incomplete attached below is the complete question

answer : Ac = 5° , A[tex]_{f}[/tex] = 2.5°

Explanation:

Bandgap energy for material A = 0.90 eV

Bandgap energy for material B = 1.10 eV

Calculate the ratio of ni for Material B to Material B

Total derivation ( d ) = d1 + d2

 d = A[tex]_{c}[/tex] ( μ[tex]_{c}[/tex] - 1 ) + A[tex]_{f}[/tex] ( μ[tex]_{f}[/tex] - 1 )  ---- ( 1 )

where : d = 1° , μ[tex]_{c}[/tex] = 1.5 , μ[tex]_{f}[/tex] = 1.6

Input values into equation 1 above

1° = 0.5Ac + 0.6Af  ---- ( 2 )

also d = d1 [ 1 - w/ w1 ] ------ ( 3 )

∴ d = Ac ( μ[tex]_{c}[/tex] - 1 ) ( 1 - w/w1 )

  1° = Ac ( 1.5 - 1 ) ( 1 - 0.06/0.1 ) --- ( 4 )

resolving  equation ( 4 )

Ac = 5°

resolving equation ( 2 )

A[tex]_{f}[/tex] = 2.5°

The nominal live load for a four-story commercial building is 80 lb/ft2. The vertical load resisting system consists of flat plate floor slabs supported by a grid of columns spaced 25 ft in one plan direction and 20 ft in the other plan direction. What is the service live load for a first floor interior column, reduced according to ASCE-7 guidelines

Answers

Answer:

106 kips

Explanation:

Determine the service live load for a first floor interior column

following ASCE-7  guidelines

Area = 20 * 25 = 500 ft^2 which is > 400 ft^2

Nominal live load on every floor = 80 psf

Hence the reduced service live load ( L )

L = Lo [ 0.25 + 15 / √AI ]  ------ ( 1 )

Lo = unreduced load

AT = Tributary area = 500 * number of floors = 2000 ft^2

AI ( influence area ) = AT * number of floors = 2000 * 4 = 8000 ft^2

Lo = 1.6 * 80 psf * 2000 ft^2 = 256 kips

Input values into equation 1 above

L = 106 kips

A baker is weighing the dough that will be used to make pastries. The line plot shows the weight of the dough for each pastry.

Answers

Answer:

Total number of pastries that will be made from at least [tex]3/8[/tex] a pound of dough is [tex]8.[/tex]

Explanation:

It is given that the line plot shows the weight of the dough for each pastry.

From the given box plot it is clear that,

Number of pastries with weight pound

Number of pastries with weight pound

Number of pastries with weight pound

We know that

We need to find the number of pastries that will be made from at least a pound of dough. It means the number of pastries whose weight is

Number of pastries with weight pound Number of pastries with weight pound

[tex]N=3+5[/tex]

[tex]N=8[/tex]

Therefore, the total number of pastries that will be made from at least a pound of dough is

It is the complete question,

____ are intended to help provide the correct amount of ventilation and also help reduce cooling costs by allowing outside air to be introduced to the conditioned space when conditions are correct

Answers

The answer is Economizers

A hemispherical shell with an external diameter of 500 mm and a thickness of 20 mm is going to be made by casting, located entirely in the upper part of the corresponding mold, with the maximum circle on the partition surface. If the density of the molten metal is 7.2 g / cm3 and the height of the pouring cavity above the partition surface is 300 mm, determine the metallostatic thrust that will be exerted on the upper mold at the end of casting.

Answers

Solution :

Given :

External diameter of the hemispherical shell, D = 500 mm

Thickness, t = 20 mm

Internal diameter, d = D - 2t

                                 = 500 - 2(20)

                                 = 460 mm

So, internal radius, r = 230 mm

                                 = 0.23 m

Density of molten metal, ρ = [tex]$7.2 \ g/cm^3$[/tex]

                                                  = [tex]$7200 \ kg/m^3$[/tex]

The height of pouring cavity above parting surface is h = 300 mm

                                                                                                  = 0.3 m

So, the metallostatic thrust on the upper mold at the end of casting is :

[tex]$F=\rho g A h$[/tex]

Area, A [tex]$=2 \pi r^2$[/tex]

            [tex]$=2 \pi (0.23)^2$[/tex]

            [tex]$=0.3324 \ m^2$[/tex]

[tex]$F=\rho g A h$[/tex]

   [tex]$=7200 \times 9.81 \times 0.3324 \times 0.3$[/tex]

     = 7043.42 N

Implement a program that manages shapes. Implement a class named Shape with a method area() which returns the double value 0.0. Implement three derived classes named Rectangle, Square, and Circle. Declare necessary properties in each including getter and setter function and a constructor that sets the values of these properties. Override the area() function in each by calculating the area using the defined properties in that class.Using Java to write a program that repeatedly shows the user a menu to create one of the three main shapes or to print the shapes created so far. If the user selects to create a new shape, the program prompts the user to enter the values for the size of the selected shape. The shape is then stored in an array. If the user selects to print the current shapes, print the name and the total area of each shape to the console.Hint: You may limit the size of the array to 10.

Answers

Answer:

Explanation:

The following code was written in Java. It creates classes for each one of the shapes requested and includes all of their variables and the area method, as well as a toString method. Then in the main method, the menu is created which allows the user to enter the shape that they want and if they decide to exit it will print out every shape within the shapes array. Due to technical reasons I have added the code as a txt file below and in the picture you can see the output.

4. Which of the following is a mechanical property of a material? Conductivity o Strength Heat resistivity Weight​

Answers

Answer:

The Mechanical Properties include Elasticity, Plasticity, Ductility, Malleability, Hardness, Toughness, Brittleness, Tenacity, Fatigue, Fatigue resistance, Impact Resistance property, Machineability, Strength, Strain Energy, Resilience, Proof Resilience, Modulus of Resilience, Creep, Rupture, and Modulus of Toughness.

The mass fraction of eutectoid cementite in a hypoeutectoid iron-carbon alloy (just below its eutectoid temperature) is 0.109. On the basis of this information, determine the composition of the alloy. If it is not possible to determine the composition from the information provided, enter 0.

Answers

Answer:

The composition of an alloy is 0.75%wt

Explanation:

Let alloy is a hypoeutectoid alloy.

So, we can apply lever rule which is shown below.

[tex]W_{a}=[/tex][tex]\frac{C_{0} -C_{a} }{C_{b}-C_{a} }[/tex]

We know that [tex]C_{a}=0.022[/tex] and [tex]C_{b}=6.7[/tex]

Given that [tex]W_{a}=0.109[/tex], we have to find [tex]C_{0}[/tex]

Thus,

[tex]0.109=\frac{C_{0}-0.022 }{6.7-0.022}[/tex]

Hence

[tex]C_{0}=0.75[/tex]%wt

A cargo ship with LBP 134 m floats at 4.6 m and 4.2 m draught at FP and AP respectively. The centre of flotation is 2 m fwd of amidships and MCTC is 120 tonnes.M. Determine the position of 200 t of cargo to be loaded (from amidships) to ensure the ship floating in even keel condition after the loading completed.

Answers

Answer:

4.2019 mts , 4.598 mts

Explanation:

center of flotation = 2 m fwd.

MCTC = 120 tonnes

Determine the position of  200 t of cargo to be loaded

first step : determine the change trim = trimming moment / MCTC

                                                              = 134 * 1 / 120 = 0.11 mts

∴ бtf = 0.11 * ( 2/100 ) = 0.0022 mts ( given that the ship trims forward )

бtf = - 0.0022 mts

also ; бTa = 0.0019 mts (  + due to increase in draught )

determine the Final position

Ta = 4.2 ( draught at AP )  + бTa

     = 4.2 +  0.0019

     = 4.2019 mts

T[tex]_{f}[/tex] = 4.6 ( draught at Fp )  + бtf

                                = 4.6 + ( - 0.0022 )  = 4.598 mts

A commercial refrigerator with refrigerant-134a as the working fluid is used to keep the refrigerated space at 2300C by rejecting its waste heat to cooling water that enters the condenser at 180C at a rate of 0.25 kg/s and leaves at 260C. The refrigerant enters the condenser at 1.2 MPa and 650C and leaves at 420C. The inlet state of the compressor is 60 kPa and -340C and the compressor is estimated to gain a net heat of 450 W from the surroundings. Determine (a) the quality of the refrigerant at the evaporator inlet, (b) the mass flow rate of the refrigerant.

Answers

Correct question is;

A commercial refrigerator with refrigerant-134a as the working fluid is used to keep the refrigerated space at −30°C by rejecting its waste heat to cooling water that enters the condenser at 18°C at a rate of 0.25 kg/s and leaves at 26°C. The refrigerant enters the condenser at 1.2 MPa and 65°C and leaves at 42°C. The inlet state of the compressor is 60 kPa and −34°C and the compressor is estimated to gain a net heat of 450 W from the surroundings. Determine (a) the quality of the refrigerant at the evaporator inlet, (b) the mass flow rate of the refrigerant.

Answer:

A) Quality = 0.48

B) Mass flow rate; m' = 0.0455 kg/s

Explanation:

A) From the refrigerant R-144 table I attached,

At P=60kpa and interpolating at - 34°C,we obtain enthalpy;

h1 = 230.03 Kj/kg

Also at P= 1.2MPa which is 1200kpa and interpolating at 65°C,we obtain enthalpy ;

h2 = 295.16 Kj/Kg

Also at P= 1.2MPa which is 1200kpa and interpolating at 42°C,we obtain enthalpy ;

h3 = 111.23 Kj/Kg

h4 is equal to h3 and thus h4 = 111.23 Kj/kg

We want to find the refrigerant quality at the evaporation inlet which is state 4 and P= 60 Kpa.

Thus, from the table attached, we see that hf = 3.84 at that pressure and hg = 227.8

Now, to find the quality of the refrigerant, we'll use the formula,

x4 = (h4 - hg) /(hf - hg)

Where x4 is the quality of the refrigerant. Thus;

x4 = (111.23 - 3.84)/(227.8 - 3.84) = 0.48

B) The mass flow rate of the refrigerant can be determined by applying a 1st law energy balance across the condenser. Thus, the water properties can be obtained by using a saturated liquid at the given temperatures;

So using the first table in the image i attached; interpolating at 18°C; hw1 = hf = 75.54 kJ/kg

Also interpolating at 26°C; hw2 = hf = 109.01 kJ/kg

Now;

(m')(h2 − h3)= (m_w)(hw2 − hw1)

m' is mass flow rate

Making m' the subject, we get;

m' = [(m_w)(hw2 − hw1)]/(h2 − h3)

m' = [(0.25 kg/s)(109.01 − 75.54) kJ/kg] /(295.13 − 111.37) kJ/kg

m' = 8.3675/183.76

m' = 0.0455 kg/s

In a residence, the control of a room's baseboard electric resistance heating system would be accomplished automatically using a?
A. wall-mounted pressure sensor.
B. duct-mounted thermostat.
C. wall-mounted humidity sensor.
D. wall-mounted thermostat.

Answers

Answer:

I think D is the correct answer.

Explanation:

hope its correct

the answer is D wall mounted thermostat

Determine the hydraulic conductivity of a confined aquifer from which water is being pumped by a fully penetrating well. The aquifer is 100 ft thick and the well is being pumped at a rate of 1500 gpm. Water surface in two observation wells 700 ft and 70 ft from the pumped well are respectively 1 ft and 10 ft below their levels prior to the beginning of pumping.

Answers

Answer:

Hydraulic conductivity =  878.53 gpd / ft^2

Explanation:

Calculate the hydraulic conductivity of the confined aquifer

Thickness of aquifer ( b )  = 100 ft

Pump rate ( Q ) = 1500 gpm

r₂ =  700 ft

r₁  = 70 ft

h1 = 1 ft , h2 = 10 ft  

To determine the hydraulic conductivity we will apply the relation below

Q = 2πKb (( h2 - h1) / In(r₂ / r₁ ) )

1500 = 2 * π * k * 100  (( -1 -(- 10 ) / In ( 700 / 70 ) )

∴ K ( hydraulic conductivity ) = [ 1500 / (( 9 / 2.30 )  ] / 2π*100

                                                = 383.33 / 628.32

K = 0.610087 gpm /ft^2

   = 878.53 gpd / ft^2

A pumping test has determined the aquifer transmissivity to be 2000 ft2/day and the storage coefficient to be 0.0002. Your client requires an average water supply of 500.000 gpd. You plan a 1-in diameter well. 200 days of continuous withdrawal from storage is targeted each year. If the entrance losses to the well total 2 feet at what depth would you set the pump

Answers

Answer:

rqbynqnyeuenqrqununrqruqrun

A full journal bearing has a shaft diameter of 3.000 in with a unilateral tolerance of -0.0004 in. The l/d ratio is unity. The bushing has a bore diameter of 3.003 in with a unilateral tolerance of 0.0012 in. The SAE 40 oil supply is in an axial-groove sump with a steady-state temperature of 140o F. The radial load is 675 lbf. Estimate the average film temperature, the minimum film thickness, the heat loss rate, and the lubricant side-flow rate for the minimum clearance assembly, if the journal speed is 10 rev/s.

Answers

Answer:

i) 154°F

ii) 0.0114 mm

iii) 0.075 btu/s

iv) 0.080 in^3/s

Explanation:

i)Determine the average film Temperature

( from Viscosity-temperature chart in US customary units for SAE10 )

at Temp =  154°F

absolute viscosity = 4.25 rev

and ΔT = 2 ( 154 - operating temp ) = 28°F

where : operating temp = 140°F as given in question

also from the chart applying Raimondi and Boyd boundary conditions

ΔT = 29°F  hence we can pick 154°F as the average film temperature

ii) Calculate the minimum film thickness

Cmin = Bore diameter - Journal shaft diameter / 2

         = 3.003 - 3 / 2 = 0.0015 in

Given that : h₀ / Cmin = 0.76

there h₀ = 0.0015 * 0.76 = 0.0114 mm

iii)Determine the heat loss rate

Also known as power loss ratio ( H ) = ( 2π*w*f*r*N ) / ( 778 *12 )

( 2π * 0.0132 * 675 * 1.5 * 10 ) / ( 9336 )

Heat loss rate = 0.075 btu/s

iv)Calculate lubricant side-flow rate for minimum clearance assembly

Side flow rate = 0.315 * Total volume flow rate

                       = 0.315 * ( 3.8 * 1.5 * 0.0015 * 10 * 3 )

                      = 0.080 in^3/s.

The primary energy source that operates a building's air conditioning controller is typically electric, pneumatic, or
A. thermostatic.
B. passive.
C. electronic.
D. hydraulic.

Answers

The answer is A i hope this helped

Answer:

(c) electronic

Explanation:

for pf, this is correct....Here is the sentence from the pf lesson

" The primary energy source for the controller within buildings is typically electric, pneumatic, or

electronic

."

Tech A says that coolant circulates through some intake manifolds to help warm them up. Tech B says that some intake manifolds use an electric heater grid to warm up the intake air. Who is corr

Answers

Answer:

Both Tech A and Tech B are correct.

Explanation:

In order to ensure that some intake manifolds have coolant running through them to assist them to warm up and to also ensure that an electric heater grid is used in some intake manifolds to warm up the intake air, a preheat grid is positioned between the intake manifold and throttle body.

This therefore implies that both Tech A and Tech B are correct. That is, it is true that coolant circulates through some intake manifolds to ensure that they warm up. And it is also true that some intake manifolds use an electric heater grid to warm up the intake air. This however occurs when a preheat grid is positioned between the intake manifold and throttle body.

In a residence, the control of a room's baseboard electric resistance heating system would be accomplished automatically using a?
A. wall-mounted pressure sensor.
B. duct-mounted thermostat.
C. wall-mounted humidity sensor.
D. wall-mounted thermostat.

Answers

Answer:

I think D is the correct answer

Explanation:

hope it is

The following true stresses produce the corresponding true plastic strains for a brass alloy: True Stress (psi) True Strain 48400 0.11 60400 0.19 What true stress is necessary to produce a true plastic strain of 0.26

Answers

Answer:

70,900

Explanation:

Given :

True stress (psi) _____ True strain (psi)

48400 ______________ 0.11

60400 ______________ 0.19

Using ratio simplification :

Let :

s = True stress ; t = true strain

s1 = 48400

s2 = 60400

t1 = 0.11

t2 = 0.19

True stress, s0 ; needed to produce a True plastic strain, tp = 0.26

(s0 - s1) / (s2 - s1) = (tp - t1) / (t2 - t1)

(s0 - 48400)/(60400 - 48400) = (0.26 - 0.11)/(0.19 - 0.11)

(s0 - 48400)/12000 = 0.15/0.08

Cross multiply :

0.08(s0 - 48400) = 0.15 * 12000

0.08s0 - 3872 = 1800

0.08s0 = 1800 + 3872

0.08s0 = 5672

s0 = 5762 / 0.08

s0 = 70,900

The true stress required to produce a true plastic strain of 0.26 is 70,900

Which state did NOT have people that got sick from the
Salmonella outbreak involving the Cashew Brie
O California
New Jersey
Tennessee
O Florida

Answers

new jersey has the least amount out of all of these.
california : 98
new jersey : 17
tennessee : 64
florida : 49

What is the mass per unit area of an 7 inch by 10 inch lead sheet that weighs 192 gm. ____________g / cm2

Answers

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

A distillation column at 101 kPa is used to separate 350 kmol/h of a bubble point mixture of toluene and benzene into an overhead product with 3 mole % toluene and a bottoms product with 98 mole % toluene. The feed contains 0.45 mole fraction benzene. The overhead reflux occurs at saturation temperature (implies it is total condenser – if it was not, you would have a vapor liquid mixture or a partial condenser akin to a partial reboiler). VLE data for the mixture is given below. An average alpha can be found from the VLE data if solving analytically.

EQUILIBRIUM DATA IN MOLE- FRACTION BENZENE, 101 kPA
y 0.21 0.37 0.51 0.64 0.72 0.79 0.86 0.91 0.96 0.98
x 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 0.95

Required:
a. What are the distillate and bottoms flow rates (D and B)?
b. What is the minimum reflux ratio, Rmin (corresponding to N= infinity)?

Answers

Answer:

A)

  D = 158.42 kmol/h

  B =  191.578 kmol/h

B) Rmin = 1.3095

Explanation:

a) Determine the distillate and bottoms flow rates ( D and B )

F = D + B ----- ( 1 )

Given data :

F = 350 kmol/j

Xf = 0.45 mole

yD ( distillate comp ) = 0.97

yB ( bottom comp ) = 0.02

back to equation 1

350(0.45) = 0.97 D + 0.02 B  ----- ( 2 )

where; B = F - D

Equation 2 becomes

350( 0.45 ) = 0.97 D + 0.02 ( 350 - D )  ------ 3

solving equation 3

D = 158.42 kmol/h

resolving equation 2

B = 191.578 kmol/h

B) Determine the minimum reflux ratio Rmin

The minimum reflux ratio occurs when the enriching line meets the q line in the VLE curve

first we calculate the value of the enriching line

Y =( Rm / R + 1 m ) x   +  ( 0.97 / Rm + 1 )

q - line ;  y =  ( 9 / 9-1 ) x -  xf/9-1

therefore ; x = 0.45

Finally Rmin

=  (( 0.97 / (Rm + 1 ))  = 0.42

0.42 ( Rm + 1 ) = 0.97

∴ Rmin = 1.3095

Select the correct answer.
Which type of material functions as heat shields in space shuttles?
ОА. .
elastomers
OB.
metals
O c.
semiconductors
D.
plastics
E.
composites

Answers

C. Semiconductors.

They are made up of what is called a porous silicon material that is very light and extremely heat resistant.

Answer:

composites

Explanation:

g Given a state of stress and , where is a positive constant with units of , what is the maximum allowable value of to avoid failure according to the Tresca/von Mises criterion if the material has yield strength .

Answers

Answer: Hello your question is poorly written attached below is the complete question

answer :

: max value to avoid failure = 59 MPa

; max value to avoid failure = 34.064 Mpa

Explanation:

Attached below is the detailed solution of the given problem

For Tresca criterion : max value to avoid failure = 59 MPa

For Von-Nissen criterion ; max value to avoid failure = 34.064 Mpa

Technician A says in a semi-independent rear suspension system, improper rear wheel toe and tracking may be caused by a bent trailing arm. Technician B says on a semi-independent rear suspension system, improper rear wheel toe and tracking may be caused by a bent inverted U-channel. Who is correct

Answers

Answer:

Technician A is correct

Explanation:

Technician A is correct because Toe misalignment in vehicles can be caused by either wear and tear of steering linkages or by a bent trailing arm or a bent tie rod and nit by a bent inverted U- channel hence Technician A is correct

A 1.2 newton block is dropped A 1.2 Newton block is dropped downward from a tall cliff. What is the magnitude and direction
of the force of air friction on the block when it reaches its terminal velocity?

1.2 newtons upward
1.2 newtons downward
0.12 newtons upward
0.12 newtons downward

Answers

Answer:

1.2 Newtons upwards

Explanation:

because the friction is opposite of the magnitude.

Which type of container traps the most heat a shoe box covered in aluminum foil plastic wrap or wax paper?

Answers

The container that traps the most heat is a shoebox covered in aluminum foil.

What is the use of aluminum foil?

An aluminum foil is used for food storage, and to wrap items, such as meats, to minimize moisture loss while cooking.

Aluminum foil is also an excellent insulator. This is due to the fact that it reduces heat emission by reflecting it back.

Therefore, in a shoebox container, the aluminum foil helps to trap most heat better than a plastic wrap or wax paper.

Learn more about aluminum foil here:

https://brainly.com/question/277354

#SPJ2

Air enters a turbine with a stagnation pressure of 900 kPa and a stagnation temperature of 658K, and it is expanded to a stagnation pressure of 100 kPa. Assuming the expansion process is isentropic, determine the turbine power for a mass flow rate of 0.04 kg/s. What does the sign of the calculated power indicate

Answers

Answer:

12.332 KW

The positive sign indicates work done by the system ( Turbine )

Explanation:

Stagnation pressure( P1 ) = 900 kPa

Stagnation temperature ( T1 ) = 658K

Expanded stagnation pressure ( P2 ) = 100 kPa

Expansion process is  Isentropic, also assume steady state condition

mass flow rate ( m ) = 0.04 kg/s

Calculate the Turbine power

Assuming a steady state condition

( p1 / p2 )^(r-1/r)  = ( T1 / T2 )

= (900 / 100)^(1.4-1/1.4) = ( 658 / T2 )

=  ( 9 )^0.285 = 658 / T2

∴ T2 = 351.22 K

Finally Turbine Power / power developed can be calculated as

Wt = mCp ( T1 - T2 )

    = 0.04 * 1.005 ( 658 - 351.22 )

    = 12.332 KW

The positive sign indicates work done by the system ( Turbine )

what happens to the recievng end voltage as the load on a transmission line is increased if the load has a lagging power facotr

Answers

Answer:

The receiving end Voltage ( VR )  will reduce significantly

Explanation:

Determine what happens to the receiving end voltage

Given that ; Load on transmission line is increased and Load has a lagging power factor

Increase in load = Increase in reactive/real power drawn from the transmission line and this will cause an increase in the current drawn as well.

Vs = VR + j XL I

Vs = sending end voltage

VR = receiving end voltage

jXL I = voltage drop across reactance

The rotating and shifting of Vs to a new power angle ( lagging power factor )  without a change in magnitude will cause the value of the VR receiving end voltage to drop significantly

A square plate of titanium is 12cm along the top, 12cm on the right side, and 5mm thick. A normal tensile force of 15kN is applied to the top side of the plate. A normal tensile force of 20kN is applied to the right side of the plate. The elastic modulus, E, is 115 GPa for titanium. If the left and bottom edges of the plate are xed, calculate the normal strain and elongation of both the TOP and RIGHT side of the plate. Report your answer with proper units and signicant digits.

Answers

Answer:

For the Top Side

- Strain ε  = 0.00021739

- Elongation is 0.00260868 cm

For The Right side

- Strain ε  = 0.00021739

-Elongation is 0.00347826 cm

Explanation:

Given the data in the question;

Length of the squared titanium plate = 12 cm by 12 cm = 0.12 m by 0.12 m

Thickness = 5 mm = 0.005 m

Force to the Top F[tex]_t[/tex] = 15 kN = 15000 Newton

Force to the right F[tex]_r[/tex] = 20 kN = 20000 Newton

elastic modulus, E = 115 GPa = 115 × 10⁹ pascal

Now, For the Top Side;

- Strain = σ/E = F[tex]_t[/tex]  / AE

we substitute

= 15000 / ( 0.12 × 0.005 × (115 × 10⁹) )

= 15000 / 69000000

Strain ε  = 0.00021739

- Elongation

Δl = ε × l

we substitute

Δl = 0.00021739 ×  12 cm

Δl = 0.00260868 cm

Hence, Elongation is 0.00260868 cm

For The Right side

- Strain = σ/E = F[tex]_r[/tex]  / AE

we substitute

Strain = 20000 / ( 0.12 × 0.005 × (115 × 10⁹) )

= 20000 / 69000000

Strain ε = 0.000289855

- Elongation

Δl = ε × l

we substitute

Δl = 0.000289855×  12 cm

Δl = 0.00347826 cm

Hence, Elongation is 0.00347826 cm

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