Answer:
The number of kilo- grams of hydrogen that pass per hour through this sheet of palladium is [tex]4.1 * 10^{-3} \frac{kg}{h}[/tex]
Explanation:
Given
x1 = 0 mm
x2 = 6 mm = 6 * [tex]10^{-3}[/tex] m
c1 = 2 kg/[tex]m^{3}[/tex]
c2 = 0.4 kg/[tex]m^{3}[/tex]
T = 600 °C
Area = 0.25 [tex]m^{2}[/tex]
D = 1.7 * [tex]10^{8} m^{2}/s[/tex]
First equation
J = - D [tex]\frac{c1 - c2}{x1 - x2}[/tex]
Second equation
J = [tex]\frac{M}{A*t}[/tex]
To find the J (flux) use the First equation
J = - 1.7 * [tex]10^{8} m^{2}/s[/tex] * [tex]\frac{2 kg/m^{3} - 0.4 kg/m^{3}}{0 - 6 * 10^{-3} } = 4.53 * 10^{-6} \frac{kg}{m^{2}s }[/tex]
To find M use the Second equation
[tex]4.53 * 10^{-6} \frac{kg}{m^{2}s}[/tex] = [tex]\frac{M}{0.25 m^{2} * 3600s/h}[/tex]
M = [tex]4.1 * 10^{-3} \frac{kg}{h}[/tex]
What properties should the head of a carpenter’s hammer possess? How would you manufacture a hammer head?
Properties of Carpenter's hammer possess
Explanation:
1.The head of a carpenter's hammer should possess the impact resistance, so that the chips do not peel off the striking face while working.
2.The hammer head should also be very hard, so that it does not deform while driving or eradicate any nails in wood.
3.Carpenter's hammer is used to impact smaller areas of an object.It can drive nails in the wood,can crush the rock and shape the metal.It is not suitable for heavy work.
How hammer head is manufactured :
1.Hammer head is produced by metal forging process.
2.In this process metal is heated and this molten metal is placed in the cavities said to be dies.
3.One die is fixed and another die is movable.Ram forces the two dies under the forces which gives the metal desired shape.
4.The third process is repeated for several times.
Which specific gravity is generally used for calculation of the volume occupied by the aggregate in Portland cement concrete, and why?
Answer: BULK RELATIVE DENSITY.
WHY?
BULK RELATIVE DENSITY GIVES A BETTER UNDERSTANDING OF THE QUALITY OF THE MATERIAL.
Explanation:Bulk relative density is a type of Specific gravity which is often used in determining the volume occupied by the aggregates in various mixtures containing aggregate including Portland cement concrete, bituminous concrete etc this mixtures are proportioned based on an absolute volume basis. Bulk relative density is considered because of its ability to give a better understanding of the materials which makes up the mixture.
Prompt the user to enter five numbers, being five people's weights. Store the numbers in an array of doubles. Output the array's numbers on one line, each number followed by one space. (2 pts) (2) Also output the total weight, by summing the array's elements. (1 pt) (3) Also output the average of the array's elements. (1 pt) (4) Also output the max array element. (2 pts)
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 annual average insolation (energy of sunlight per unit area) striking a fixed solar panel in Buffalo, New York, is 200 W*m^−2, while in Phoenix, Arizona, it is 270 W*m^−2. In each location, the solar panel converts 15% of the incident energy into electricity. Average annual electricity use in Buffalo is 6000 kW*h at an average cost of $0.15 kW*h, while in Phoenix it is 11,000 kW*h at a cost of $0.09 kW*h.
1. In each city, what area of solar panel is needed to meet the average electrical needs of a residence?
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
The specific volume of water vapor at 0.3 MPa, 160°C is 0.651 m3/kg. If the water vapor occupies a volume of 1.2 m3, determine the amount present, in kg.
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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In a wind-turbine, the generator in the nacelle is rated at 690 V and 2.3 MW. It operates at a power factor of 0.85 (lagging) at its rated conditions. Calculate the per-phase current that has to be carried by the cables to the power electronics converter and the step-up transformer located at the base of the tower.
To solve this problem we will apply the concepts related to real power in 3 phases, which is defined as the product between the phase voltage, the phase current and the power factor (Specifically given by the cosine of the phase angle). First we will find the phase voltage from the given voltage and proceed to find the current by clearing it from the previously mentioned formula. Our values are
[tex]V = 690V[/tex]
[tex]P_{real} = 2.3MW[/tex]
Real power in 3 phase
[tex]P_{real} = 3V_{ph}I_{ph} Cos\theta[/tex]
Now the Phase Voltage is,
[tex]V_{ph} = \frac{V}{\sqrt{3}}[/tex]
[tex]V_{ph} = \frac{690}{\sqrt{3}}[/tex]
[tex]V_{ph} = 398.37V[/tex]
The current phase would be,
[tex]P_{real} = 3V_{ph}I_{ph} Cos\theta[/tex]
Rearranging,
[tex]I_{ph}=\frac{P_{real}}{3V_{ph}Cos\theta}[/tex]
Replacing,
[tex]I_{ph}=\frac{2.3MW}{3( 398.37V)(0.85)}[/tex]
[tex]I_{ph}= 2.26kA/phase[/tex]
Therefore the current per phase is 2.26kA
All brake lights are dimmer than normal. Technician A says that bad bulbs could be the cause. Technician B says that high resistance in the brake switch could be the cause. Which technician is correct?a. Technician A onlyb. Technician B onlyc. Both Technician A and Bd. Neither Technician A nor B
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......
A firm has 62 employees. During the year, there are seven first-aid cases, three medicaltreatment injuries, an accident in which an injured employee was required to work 1 week in restricted work activity, a work-related illness in which the employee lost 1 week of work, a work-related illness in which the employee lost 6 weeks of work, and a fatality resulting from an electrocution. Calculate the total incidence rate, the number-of-lostworkdays rate, and the LWDI.
Answer:
The answers to the question are
11.2967.746.45Explanation:
The number of employees in the firm = 62
Number of first-aid cases = 7
Number of medical treatment injuries = 3
Injury resulting restricted work activity = 1
Illness resulting in one week loss work day = 1
Illness resulting in loss of 6 weeks of work =1
Incident resulting in fatality = 1
Total incidence rateTotal hours worked = 40×62×50 = 124000 Hrs
Where 200,000 is the number of hours worked by Full time employees numbering 100 that work for 40 Hours a week for 50 weeks in a year
Number of recordable incident = Those incident that results in lost work days, death, restricted ability to work, or transfer to another task or more severe injury treatment beyond first aid
Therefore number recordabe incident = 7
Recordable Incident Rate is calculated by
IR = (Number of recordable incident Cases X 200,000)÷(Number of Employee labor hours worked)
= (7×200000)/124000= 11.29
The number-of-lostworkdays rateThe Lost Workday Rate is given by
Lost Workday Rate = (Total number of days lost to injury or illness)÷( Cumulative number of hours employees worked) × 200000
Total number of days lost to injury or illness = 42 days
Lost Workday Rate = (42/124000) × 200000 = 67.74
LWDI. Lost Work Day InjuryLWDI = (Number of incident resulting in lost workdays and restricted activity) ×200000 /(Total number of hours worked by all employees in one year)
LWDI = LWD×200000/ EH = 4×200000/124000 = 6.45
LWDI = 6.45
A composite plane wall consists of a Li = 125 mm thick layer of insulation (ki = 0.05 W/m.K) and a Ls = 25 mm thick layer of siding (ks = 0.10 W/m.K). The inner temperature of the insulation is 20 C. The outer temperature of the siding is -10 C. Steady state conditions apply.
Determine the temperature at the interface between the two layers, in C, and the rate of heat transfer through the wall, in W per m2 of surface area.
Answer:
Interface temperature = -7.27C
Rate of heat transfer = 10.91W/m2
Explanation:
The steps and the application of fourier's law of heat conduction is as shown in the attached file.
For the given composite wall, the temperature at the interface between the two layers is 17.275 °C and the rate of heat transfer through the wall is -0.0109 W/m².
Explanation:To determine the temperature at the interface between the two layers, we can use the formula for 1-D steady-state heat conduction:
q = (T2 - T1) / ((L1 / k1) + (L2 / k2))
where q is the heat transfer rate per unit area, T1 and T2 are the temperatures of the inner and outer surfaces, L1 and L2 are the thicknesses of the insulation and siding layers, and k1 and k2 are the thermal conductivities of the insulation and siding layers, respectively.
Plugging in the given values:
q = (-10 - 20) / ((125 / 0.05) + (25 / 0.10)) = -30 / (2500 + 250) = -30 / 2750 = -0.0109 W/m².
The negative sign indicates heat transfer from the siding to the insulation.
To find the temperature at the interface, we can use the formula:
T_interface = T1 + (q * (L1 / k1))
Plugging in the values:
T_interface = 20 + (-0.0109 * (125 / 0.05)) = 20 - 2.725 = 17.275 °C.
Therefore, the temperature at the interface between the two layers is 17.275 °C and the rate of heat transfer through the wall is -0.0109 W/m².
An open tank contains brine to a depth of 2 m and a 3-m-layer of oil on top of the brine. Density of brine is 1,030 kg/m3 and the density of oil is 880 kg/m3. What is the gage pressure (kPa) at the bottom of the tank?
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
a. For a 200g load acting vertically downwards at point B’, determine the axial load in members A’B’, B’C’, B’D’, C’D’ and C’E’.
b. Repeat this for the load hung at C’, D’ and F’
Answer:
attached below
Explanation:
A motor keep a Ferris wheel (with moment of inertia 6.8 × 107 kg · m 2 ) rotating at 12 rev/hr. When the motor is turned off, the wheel slows down (because of friction) to 9.6 rev/hr in 17 s. What was the power of the motor that kept the wheel rotating at 12 rev/hr despite friction? Answer in units of W.
Answer:
Power of the motor that kept the wheel rotating at 12 rev/hr despite friction is 342.79W.
Explanation:
Pls refer to the attached file. The explanation is long to pen down here.
explain the four functional blocks on an oscilloscope and describe the major controls within each block
Answer:
The cathode ray oscilloscope (CRO) consists of a set of blocks. Those are vertical amplifier, delay line, trip circuit, time base generator, horizontal amplifier, cathode ray tube (CRT) and power supply. The CRO block diagram is shown in attached figure.
The function of each CRO block is mentioned below,
Vertical amplifier amplifies the input signal, which will be displayed on the CRT screen.
Delay line provides a certain amount of delay to the signal, which is obtained at the output of the vertical amplifier. This delayed signal is then applied to the CRT vertical deflection plates.
Trigger circuit produces a trigger signal to synchronize the horizontal and vertical deviations of the electron beam.
Time base generator produces a sawtooth signal, which is useful for horizontal deviation of the electron beam.
Horizontal amplifier amplifies the sawtooth signal and then connects it to the CRT horizontal deflection plates.
Power supply produces high and low voltages. The high negative voltage and the low positive voltage apply to CRT and other circuits respectively.
Cathode ray tube (CRT)
it is the main important block of CRO and consists mainly of four parts. Those are electronic guns, vertical deflection plates, horizontal deflection plates and fluorescent display.
The electron beam, which is produced by an electron gun, is deflected both vertically and horizontally by a pair of vertical deflection plates and a pair of horizontal deflection plates, respectively. Finally, the deflected beam will appear as a point on the fluorescent screen.
In this way, CRO will display the input signal applied on the CRT screen. So, we can analyze the signals in the time domain using CRO.
Explanation:
The oscilloscopes which is widely used for analysis purpose of circuits is divided into four main groups: the horizontal and vertical controls, the input controls and the activation controls.
Found in the front panel section marked Horizontal, the oscilloscope's horizontal controls allow users to adjust the horizontal scale of the screen. This section includes the control of the horizontal delay (displacement), as well as the control that indicates the time per division on the x-axis. The first control allows users to scan through a time range, while the latter allows users to approach a particular time range by decreasing the time per division.
Meanwhile, the oscilloscope's vertical controls are usually found in a section specifically marked as Vertical. The controls found in this section allow users to adjust the vertical appearance of the screen and include the control that indicates the number of volts per division on the axis and the grid of the screen. Also in this section is the control of the vertical displacement of the waveform, which translates the waveform up or down on the screen.
Signal activation helps provide a usable and stable display and allows users to synchronize the oscilloscope acquisition in the waveform of interest. The oscilloscope trigger controls allow users to choose the vertical trigger level, as well as the desired trigger capability. Common types of activation include fault activation, edge activation and pulse width activation.
Useful for identifying random errors or failures, the activation of faults allows users to fire at a pulse or event whose width is less than or greater than a specific period of time. This activation mode allows users to capture errors or technical problems that do not occur very frequently, which makes them very difficult to see.
The most famous trigger mode, edge tripping occurs when the voltage exceeds a set threshold value. This mode allows users to choose between shooting on a falling or rising edge.
Although pulse width activation is comparable to fault activation when users search for pulse width, it is, however, more general since it allows users to fire pulses of specified width. Users can also select the polarity of the pulses to be activated and set the horizontal position of the trigger. This allows users to see what happened during pre-shot or post-shot.
The input panels of an oscilloscope usually include two or four analog channels. They are usually numbered and have a button associated with each channel that allows users to activate and deactivate them. This section may also include a selection that allows users to specify the DC or AC coupling. Selecting the DC coupling implies that the entire signal will be input. The AC pairing, on the other hand, blocks the DC component and focuses the waveform around zero volts. Operators can also identify the probe impedance of the channels through a selection button. In adding, the input panels permit users to select the type of sampling to be used.
An op-amp is connected in an inverting configuration with R1 = 1kW and R2 = 10kW, and a load resistor connected at the output, RL = 1kW.
a. Find the values of v1, i1, i2, vO, iL, and iO.
b. Determine the voltage gain (vO/vI), current gain (iL/iI), and power gain (PO/PI).
Answer:
View Image
Explanation:
You didn't provide me a picture of the opamp.
I'm gonna assume that this is an ideal opamp, therefore the input impedance can be assumed to be ∞ . This basically implies that...
no current will go in the inverting(-) and noninverting(+) side of the opampV₊ = V₋ , so whatever voltage is at the noninverting side will also be the voltage at the inverting sideSince no current is going into the + and - side of the opamp, then
i₁ = i₂
Since V₊ is connected to ground (0V) then V₋ must also be 0V.
V₊ = V₋ = 0
Use whatever method you want to solve for v_out and v_in then divide them. There's so many different ways of solving this circuit.
You didn't give me what the input voltage was so I can't give you the entire answer. I'll just give you the equations needed to plug in your values to get your answers.
The two pond system is fed by a stream with flow rate 1.0 MGD (million gallons per day) and BOD (nonconservative pollutant) concentration of 20 mg/L. The rate of decay of BOD is 0.3/day. The volume of the first pond is 5 million gallons and the second is 3 million. Assuming complete mixing within the pond, find the BOD concentration leaving each pond.
Answer: First pond= 8.0 mg/L
second pond = 4.2 mg/L
Explanation:
Cn/Co = [ 1/ [ 1 + (k*t/n)]]
for the first pond
where Co into the first pond is 20mg/L,
Cn = 20*[ 1/ [ 1+ ((1 x 5)/0.3)]]
Cn = 8 mg/L
into the second pond we calculate the BOD leaving the pond of volume 3million liters
we have Cn = 4.2 mg/L
Problem 4: The built-in function clock returns a row vector that contains 6 elements: the first three are the current date (year, month, day) and the last three represent the current time in hours (24 hour clock), minutes, and seconds. The seconds is a real number, but all others are integers. Use function sprintf to accomplish the following formatting exercises. a) Get the current date and time and store them in p4a. The current date and time should be the date and time when the grader calls your script. b) Using the format 'YYYY:MM:DD', write the current date to string p4b. Here, YYYY, MM, and DD correspond to 4-digit year, 2-digit month, and 2-digit day, respectively. c) Using the format 'HH:MM:SS.SSSS', write the current time to string p4c. Here, HH, MM, and SS.SSSS correspond to 2-digit hour, 2-digit minute and 7-character second (2 digits before the decimal point and 4 digits after the decimal points), respectively. d) Remove the last 5 characters from the string in part (c) so that the format is now 'HH:MM:SS'. Put the answer into string p4d. e) Combine the strings in part (b) and part (d) together separated by a single space. Put theanswer in string p4e
Do you think the mining process is faster when you know in advance that the land must be restored? Explain.
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;
UndergroundSurfacePlacer In-situThe 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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A constant torque of 5 Nm is applied to an unloaded motor at rest at time t ¼ 0. The motor reaches a speed of 1800 rpm in 3 s. Assuming the damping to be negligible, calculate the motor inertia.
Answer:
The motor inertia is 7.958 X 10⁻² kg.m²
Explanation:
To determine the motor inertia, the following formula applies.
Neglecting the damping effect,
[tex]T = \frac{J}{9.55}.\frac{\delta n}{\delta T}[/tex]
Where;
T is the constant torque applied to the motor = 5Nm
J is the motor inertia = ?
δn is the change in angular speed of the motor = 1800 r/min
δT is change in time of the unloaded motor from rest = 3 sec
[tex]J = \frac{9.55* \delta T* T}{\delta n}[/tex]
[tex]J = \frac{9.55* 3* 5}{1800}[/tex] = 0.07958 kg.m² = 7.958 X 10⁻² kg.m²
Therefore, the motor inertia is 7.958 X 10⁻² kg.m²
A flow is described by velocity field V=ai+bxj where a = 2 (m/s) and b = 1 (1/s) , coordinates are measured in meters. a) Obtain the equation for the streamline passing through the point (2,5). b) At t=2s , what are the coordinates of the particle that passed through point (0,4) at t=0. c) At t=3s , what are the coordinates of the particle that passed through point (1,4.25) 2 seconds earlier.
Answer:
Explanation:
The concept of differential in rate of change is applied to solve the problem.
First is to compare the equation given V=ai+bxj , where u = a and v = bx.
the detailed steps and appropriate integration and substitution is as shown in the attached file.
The streamline equation and the coordinates of the point are
A) [tex]x^2-4y+16[/tex]
B) (4, 12)
C) (3, 11.25)
Given that, [tex]V=ai+bxj[/tex], [tex]a=\frac{2m}{s}[/tex] and [tex]b=1s^{-1}[/tex]
Putting the value, we get
[tex]V=2i+1.xj[/tex]
From this equation, we get
[tex]u=2\frac{m}{s}[/tex] and [tex]v=x\frac{m}{s}[/tex]
Obtain the equation for the streamline passing through the point (2,5), streamline equation
[tex]\frac{dx}{u}=\frac{dy}{v}[/tex]
Putting the value, we get
[tex]\frac{dx}{2}=\frac{dy}{x}[/tex]
rearrange it and do integration:
[tex]\int xdx=\int 2dy[/tex]
[tex]\frac{x^2}{2}=2y+c -------(i)[/tex]
C is the integration constant.
[tex]\frac{2^2}{2}=(2\times5)+C[/tex]
[tex]C=-8[/tex]
Put the value of C in equation (i), we get
[tex]\frac{x^2}{2}=2y-8[/tex]
[tex]y=\frac{x^2}{4}+4[/tex]
[tex]x^2-4y+16=0[/tex]
b) [tex]u=2\frac{m}{s}[/tex]
[tex]\frac{dx}{dt}=2[/tex]
Rearrange and integrate
[tex]\int dx=\int 2dt[/tex]
[tex]x=2t+C_1[/tex]
Put x=0 and t=0
[tex]0=0+C_1[/tex]
[tex]C_1=0[/tex]
Put the value of constant we get
[tex]x=2t[/tex]
at [tex]t=2s[/tex]
[tex]x=2\times2= 4 --------(2)[/tex]
Now, [tex]v=x \frac{m}{s}[/tex]
[tex]\frac{dy}{dt}=x[/tex]
Rearrange and integrate:
[tex]\int dy=\int xdt[/tex]
[tex]y=xt+C_2[/tex]
Putting the value of x, y and t we get the value of constant.
[tex]4(0\times0)+C_2[/tex]
[tex]C_2=4[/tex]
Putting the value of constant we get
[tex]y=xt+4[/tex]
Put the value of [tex]t=2[/tex] and [tex]x=4[/tex] we get
[tex]y=(4\times2)+4[/tex]
[tex]= 8+4[/tex]
[tex]y= 12 -------(3)[/tex]
From (2) and (3)
we get the coordinates of the particle that passed through point [tex](0,4)[/tex] at [tex]t=0[/tex].
After [tex]t=2s[/tex] as [tex](4, 12)[/tex]
c) first we have to find the integration constant through initial condition then put the value of time to get the coordinates.
From above we have:
(1) [tex]x=2t+C_1[/tex] and
(2) [tex]y=xt+C_2[/tex]
Given [tex]t=2s[/tex] and [tex]P(1, 4.25)[/tex]
Putting the value in first equation, we get
[tex]1=(2\times2)+C_1[/tex]
[tex]C_1 =-3[/tex]
Put the value of time [tex]t=3s[/tex] we get
[tex]x=(2\times3)-3=3 ---------(a)[/tex]
Now, putting the value in second equation we get
[tex]4.25=(1\times2)+C_2[/tex]
[tex]C_2 =2.25[/tex]
Then [tex]y=xt+2.25[/tex]
Put the value of time [tex]t=3s[/tex] we get
[tex]y=(3\times3)+2.25=11.25 -------(b)[/tex]
From (a) and (b) we get the coordinate of the point after [tex]t=3s[/tex] is [tex](3, 11.25)[/tex].
Therefore, streamline equation and the coordinates of the point are
A) [tex]x^2-4y+16[/tex]
B) (4, 12)
C) (3, 11.25)
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From an email message sent to all employees of a law firm advising them to be alert for a new virus: This virus has been known to cause the destruction of files, and it is very important that you perform a search of your hard drive to try and attempt eradication of it using the search feature. Search for .EDT file extensions and delete them. Then the problem will be solved
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.
How to explain the emailsThe 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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Two balanced Y-connected loads in parallel, one drawing 15kW at 0.6 power factor lagging and the other drawing 10kVA at 0.8 power factor leading, are supplied by a balanced, three-phase, 480-volt source. (a) Draw the power triangle for each load and for the combined load. (b) Determine the power factor of the combined load and state whether lagging or leading. (c) Determine the magnitude of the line current from the source. (d) Δ-connected capacitors are now installed in parallel with the combined load. What value of capacitive reactance is needed in each leg of the A to make the source power factor unity? Give your answer in Ω. (e) Compute the magnitude of the current in each capacitor and the line current from the source.
Answer:
(a) attached below
(b) [tex]pf_{C}=0.85[/tex] [tex]lagging[/tex]
(c) [tex]I_{C} =32.37 A[/tex]
(d) [tex]X_{C} =49.37[/tex] Ω
(e) [tex]I_{cap} =9.72 A[/tex] and [tex]I_{line} =27.66 A[/tex]
Explanation:
Given data:
[tex]P_{1}=15 kW[/tex]
[tex]S_{2} =10 kVA[/tex]
[tex]pf_{1} =0.6[/tex] [tex]lagging[/tex]
[tex]pf_{2}=0.8[/tex] [tex]leading[/tex]
[tex]V=480[/tex] [tex]Volts[/tex]
(a) Draw the power triangle for each load and for the combined load.
[tex]\alpha_{1}=cos^{-1} (0.6)=53.13[/tex]°
[tex]\alpha_{2}=cos^{-1} (0.8)=36.86[/tex]°
[tex]S_{1}=P_{1} /pf_{1} =15/0.6=25 kVA[/tex]
[tex]Q_{1}=P_{1} tan(\alpha_{1} )=15*tan(53.13)=19.99[/tex] ≅ [tex]20kVAR[/tex]
[tex]P_{2} =S_{2}*pf_{2} =10*0.8=8 kW[/tex]
[tex]Q_{2} =P_{2} tan(\alpha_{2} )=8*tan(-36.86)=-5.99[/tex] ≅ [tex]-6 kVAR[/tex]
The negative sign means that the load 2 is providing reactive power rather than consuming
Then the combined load will be
[tex]P_{c} =P_{1} +P_{2} =15+8=23 kW[/tex]
[tex]Q_{c} =Q_{1} +Q_{2} =20-6=14 kVAR[/tex]
(b) Determine the power factor of the combined load and state whether lagging or leading.
[tex]S_{c} =P_{c} +jQ_{c} =23+14j[/tex]
or in the polar form
[tex]S_{c} =26.92<31.32[/tex]°
[tex]pf_{C}=cos(31.32) =0.85[/tex] [tex]lagging[/tex]
The relationship between Apparent power S and Current I is
[tex]S=VI^{*}[/tex]
Since there is conjugate of current I therefore, the angle will become negative and hence power factor will be lagging.
(c) Determine the magnitude of the line current from the source.
Current of the combined load can be found by
[tex]I_{C} =S_{C}/\sqrt{3}*V[/tex]
[tex]I_{C} =26.92*10^3/\sqrt{3}*480=32.37 A[/tex]
(d) Δ-connected capacitors are now installed in parallel with the combined load. What value of capacitive reactance is needed in each leg of the A to make the source power factor unity?Give your answer in Ω
[tex]Q_{C} =3*V^2/X_{C}[/tex]
[tex]X_{C} =3*V^2/Q_{C}[/tex]
[tex]X_{C} =3*(480)^2/14*10^3[/tex] Ω
(e) Compute the magnitude of the current in each capacitor and the line current from the source.
Current flowing in the capacitor is
[tex]I_{cap} =V/X_{C} =480/49.37=9.72 A[/tex]
Line current flowing from the source is
[tex]I_{line} =P_{C} /3*V=23*10^3/3*480=27.66 A[/tex]
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
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.
A blueprint presentation does indeed have a uniform appearance and might even be utilized throughout a variety of methods throughout the presentation.An aesthetically compelling blueprint slideshow should, for illustration, provide an introduction of your arguments, certain transitioning to allow you to proceed between one aspect to the next one, or maybe even a summary of your essential aspects towards the end of the session.
Thus the response above is correct.
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Determine the following for a south facing surface at 30� slope in
Gainesville, FL (Latitude = 29.68�N, Longitude = 82.27�W) on September 21 at
noon solar time (Assuming a ground reflectivity of 0.2):
A. Zenith Angle
B. Angle of Incidence
C. Beam Radiation
D. Diffuse Radiation
E. Reflected Radiation
F. Total Radiation
G. Local Time (note Gainesville has daylight savings on Sep 21)
Answer:
z=60.32°, i=0.32°, Beam Radiation = 1097.2 W/m², Id = 94.2 W/m², Ir=14.1W/m², total radiation = 1205.4 W/m², Local time=1:21PM
Explanation:
A. Zenith Angle:
As we know that,
Zenith angle=z=90⁰-α=L(latitude)=29.68⁰
Another way to do it is to find α first,
At solar time hour angle is 0⁰. So, solar altitude becomes equal to latitude which could be written as
sinα=cosL
α=sin⁻¹(cosL)=sin⁻¹(cos29.68⁰)=60.32°
B. Angle of incidence:
angle of incidence= cosi=sin(α+β)=sin(60.32°+32°)=sin92.32°
i=cos⁻¹(sin92.32°)=0.32°
C. Beam Radiation:
First we need to calculate extra terrestrial radiations
Iext.=1353[1+0.034cos(360n/365)]
where n=264
=1345 W/m²
Now,
Beam Radiation=CIext⁻ⁿ
where n=0.1/sin60.32°
Beam Radiation = 1097.2 W/m²
D. Diffude Radiation:
difuse radiation = Id = 0.0921ₙcos²(β/2)
where β=30°
Id = 94.2 W/m²
E. Reflected Radiations:
Ir=pIn(sinα+0.092)sin²(β/2)
= (0.2)(1097.1)(sin60.32+0.092)sin²(30/2)
= 14.1W/m²
F. Total Radiation:
total radiation = beam radiation + diffuse radiation + reflected raddiation
= 1205.4 W/m²
G. Local Time:
LST= ST-ET-(lₓ-l(local))4min/₀
= 12:00-7.9min-(75°-82.27°)4min/₀
=12:21PM
Local time
LDT=LST+=12:21+1:00=1:21PM
An 80-percent-efficient pump with a power input of 20 hp is pumping water from a lake to a nearby pool at a page 101rate of 1.5 ft3/s through a constant-diameter pipe. The free surface of the pool is 80 ft above that of the lake. Determine the mechanical power used to overcome frictional effects in piping. Answer: 2.37 hp
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.
Explanation: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.
Steps to Solve:Calculate the hydraulic power needed using the formula P = ρghQ, where ρ is the density of water, g is the acceleration due to gravity, h is the height difference, and Q is the flow rate.Calculate the efficient power output of the pump (Actual Power Output) using its efficiency and the input power.Subtract the pump's output power from its input to find the power lost to friction.Through such calculations, one can find that the mechanical power used to overcome frictional effects in piping is 2.37 hp.
What happens to the current supplied by the battery when you add an identical bulb in parallel to the original bulb?
Answer:
a.The current is cut in half
b.the current stays the same
c.the current doubles
d.the current becomes zero
Explanation:
The current doubles
The waffle slab is: a) the two-way concrete joist framing system. b) a one-way floor and roof framing system. c) the one-way concrete joist framing system. d) an unreinforced floor and roof framing system
Answer:
a) the two-way concrete joist framing system
Explanation:
A waffle slab is also known as ribbed slab, it is a slab which as waffle like appearance with holes beneath. It is adopted in construction projects that has long length, length more than 12m. The waffle slab is rigid, therefore it is used in building that needs minimal vibration.
The electric potential difference between the ground and a cloud in a particular thunderstorm is 3.0 ✕ 109 V. What is the magnitude of the change in the electric potential energy of an electron that moves between the ground and the cloud?
Answer:
The question is incomplete, below is the complete question "The electric potential difference between the ground and a cloud in a particular thunderstorm is [tex]3.0*10^{9}V[/tex]. What is the magnitude of the change in the electric potential energy of an electron that moves between the ground and the cloud?"
Answer:
[tex]U=3.0*10^{9}eV[/tex]
Explanation:
data given,
Potential difference,V=3.0*10^9V
charge on an electron, q=1e.
Recall that the relationship between potential difference (v), charge(Q) and the potential energy(U) is expressed as
[tex]U=qV[/tex]
from the question, we asked to determine potential energy given the charge and the potential difference.
Hence if we substitute values into the equation, we arrive at
[tex]U=qV\\U=3.0*10^{9}*1e\\U=3.0*10^{9}eV[/tex]
Hence the magnitude of the change in the electric potential energy of an electron that moves between the ground and the cloud is [tex]3.0*10^{9}eV[/tex]
Automobiles must be able to sustain a frontal impact. Specifically, the design must allow low speed impacts with little damage, while allowing the vehicle front end structure to deform and absorb impact energy at higher speeds. Consider a frontal impact test of a vehicle with a mass of 1000 kg. a. For a low speed test (v = 2.5 m/s), compute the energy in the vehicle just prior to impact. If the bumper is a pure elastic element, what is the effective design stiffness required to limit the bumper maximum deflection during impact to 4 cm? b. At a higher speed impact of v = 25 m/s, considerable deformation occurs. To absorb the energy, the front end of a vehicle is designed to deform while providing a nearly constant force. For this condition, what is the amount of energy that must be absorbed by the deformation [neglecting the energy stored in the elastic deformation in (a)? If it is desired to limit the deformation to 10 cm, what level of resistance force is required? What is the deacceleration of the vehicle in this condition?
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.
Define the following terms in your own words: (a) elastic strain, (b) plastic strain, (c) creep strain, (d) tensile viscosity, (e) recovery, and (f) relaxation.
Answer:
Detailed Answer is given below,
Explanation:
(a) Elastic strain
Elastic deformation is defined as the limit for the deformation values up to which the object will bounce and return to the original shape when the load is removed.
When the object is subjected to an external load, it deforms. If the load exceeds the load corresponding to the elastic limit of the object, then, after removing the load, the object cannot return to its original geometric specification.
(b) Plastic strain
Plastic Strain is a deformation that cannot be recovered after eliminating the deforming force. In other words, if the applied tension is greater than the elastic limit of the material, there will be a permanent deformation.
(c) Creep strain
The deformation of the material at a higher temperature is much more than at the normal temperature known as creep.
Subsequently, the deformation produced in heated material is called creep deformation. Creep deformation is a function of temperature.
(d) Tensile viscosity
Viscosity is a main parameter when measuring flux fluids, such as liquids, semi-solids, gases and even solids. Brookfield deals with liquids and semi-solids. Viscosity measurements are made together with the quality and efficiency of the product. Any person involved in the characterization of the flow, in research or development, quality control or transfer of fluids, at one time or another is involved with some kind of viscosity measurement.
(e) Recovery
Recovery is a process whereby deformed grains can reduce their stored energy by eliminating or reorganizing defects in their crystalline structure. These defects, mainly dislocations, are introduced by plastic deformation of the material and act to increase the elastic limit of a material.
(f) Relaxation
Stress relaxation occurs in polymers when they remain tense for long periods of time.
These alloys have very good resistance to stress relaxation and, therefore, are used as spring materials.
Stress relaxation is a gradual reduction of stress over time in constant tension.
When a thin glass tube is put into water, the water rises 1.4 cm. When the same tube is put into hexane, the hexane rises only 0.4 cm. Complete the sentences to best explain the difference.
Answer:
Due to differences in the nature of the adhesive force and cohesive forces in the molecules of the individual substances and the glass tube.
Explanation:
To understand why this is so, a deep understanding of adhesive and cohesive force is required.
First, what is adhesive force?
Note: Adhesive and cohesive forces are best discussed under macroscopic level.
Adhesive force is the Intermolecular forces that exist between atoms of different molecules e g the forces explain when unlike charges stick together.
Cohesive force on the other hand is the Intermolecular force that exist between atoms of the same molecules e.g the force between hydrogen bonding.
Hence to explain the case scenario above, the adhesive force between the water molecules and the glass molecules is higher than the cohesive force between the water molecules. Hence the high rise.
For the case of the Hexane, the cohesive forces between the molecules hexane is far greater then the adhesive force between the glass molecules and the hexane molecules.