The current of a 600 kVA, 380 V three-phase diesel generator can be determined using the apparent power and voltage.
To determine the current of the generator under full load conditions, we can use the formula:
Current (I) = Apparent Power (S) / Voltage (V).
Given that the generator has a rating of 600 kVA (apparent power) and a voltage of 380 V, we can calculate the current by dividing the apparent power by the voltage. For part (a), the current of the generator under full load condition is:
I = 600,000 VA / 380 V.
To find the terminal line voltage of the generator under full load conditions, we need to consider the power factor and the internal reactance. The power factor is given as 0.9 lagging, which indicates that the load is capacitive. The internal reactance is provided as j0.03 Ω
For part (b), the terminal line voltage can be calculated using the formula:
Terminal Line Voltage = Generated EMF - (Current * Internal Reactance).
It is important to note that the generator is star-connected, which means the generated EMF is equal to the phase voltage. By substituting the values into the formula, the terminal line voltage can be determined.
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_________ is a class of information analysis based on databases that looks for hidden patterns in a collection of data which can be used to predict future behavior.
Data mining is a class of information analysis based on databases that looks for hidden patterns in a collection of data which can be used to predict future behavior.
What is Data Mining?Data mining is the process of looking for patterns in data, analyzing the data from various dimensions or angles, summarizing it into valuable information, and eventually, determining helpful information or information that can be utilized to increase revenue, reduce costs, or both. It allows data analysts to assess data from several angles, categorize it, and summarize the relationships recognized.
What are the three main benefits of Data Mining?Three key advantages of data mining include identifying previously unidentified patterns in data, identifying unknown relationships among data, and creating actionable data for analysis. The two most prevalent applications of data mining are customer relationship management and fraud detection. Data mining can also be used to provide advice, such as cross-selling and up-selling.
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Which of the following adjusts the difference in appearance between light and dark areas of a photo? A) crispness B) sharpness C) contrast D) brightness
The correct option for adjusting the difference in appearance between light and dark areas of a photo is C) contrast.
Contrast is a measure of the difference in brightness between the light and dark areas of an image. Increasing contrast makes the dark areas darker and the light areas lighter, while decreasing contrast has the opposite effect. Adjusting the contrast can help to make a photo more visually appealing by bringing out details in both the bright and dark areas, making the image appear more balanced and dynamic. Therefore, option C) contrast is the correct answer.
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the term applied to the chemistry of the body
Answer:
Biochemistry
Explanation:
Hope this helps :)
Answer:
Biochemistry
Have an amazing day!
Technician A says that some manufacturers recommend against breaking the cylinder glaze with a glaze breaker when re-ringing an engine that has not been removed from the car. Technician B says that a Flex-Hone is used to help break the cylinder glaze so new rings can seat more easily. Who is right
Both Technician A that says that some manufacturers recommend against breaking the cylinder glaze with a glaze breaker and Tech B that says Flex-Hone is used to help break the cylinder glaze are right.
What is the reason behind deglazing a cylinder?
Deglazing can be regarded as the techniques that is been used on the surface of an engine cylinder which is been roughened to create friction between the moving parts .
Doing this will now give room for engine oil to grip the sides of the cylinder, hence Both Technician A that says that some manufacturers recommend against breaking the cylinder glaze with a glaze breaker and Tech B that says Flex-Hone is used to help break the cylinder glaze are right.
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What signal propagation phenomena causes the diffusion, or the reflection in multiple different directions, of a signal?
In the radio communication system, multipath is the propagation phenomenon that causes diffusion or reflection in multiple different directions of a signal.
Multipath is a propagation mechanism that impacts the propagation of signals in radio communication. Multipath results in the transmission of data to the receiving antenna by two or more paths. Diffusion and reflection are the causes that create multiple paths for the signal to be delivered.
Diffraction occurs when a signal bends around sharp corners; while reflection occurs when a signal impinges on a smooth object. When a signal is received through more than one path because of the diffraction or reflection, it creates phase shifting and interference of the signal.
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noooo plssschvwekjshdjkshdjkshdjksahdk
Answer:
chehdhfhfhd
Explanation:
fjrjshrhdhr
A compact disc (CD) records audio signals digitally by using PCM. Assume that the audio signal bandwidth equals 15 kHz. (a) If the Nyquist samples are uniformly quantized into L = 65, 536 levels and then binary-coded, determine the number of binary digits required to encode a sample. (b) If the audio signal has average power ofO. l watt and peak voltage of 1 volt. Find the resulting signal-to-quantization-noise ratio (SQNR) of the uniform quantizer output in part (a). (c) Determine the number of binary digits per second (bit/s) required to encode the audio signal. (d) For practical reasons discussed in the text, signals are sampled at a rate well above the Nyquist rate. Practical CDs use 44, 1 00 samples per second. If L = 65, 536, determine the number of bits per second required to encode the signal, and the minimum bandwidth required to transmit the encoded sign
A. The number of binary digits required to encode a sample is 16 bits.
B. The resulting signal-to-quantization-noise ratio (SQNR) of the uniform quantizer output in part (a) is 26.8 dB
C. The number of binary digits per second (bit/s) required to encode the audio signal is 705,600 bits/s.
D. The number of bits per second required to encode the signal, and the minimum bandwidth required to transmit the encoded sign is 705,600 bits/s.
How will you determine the values given above?To determine the values above, the following solutions are provided:
(a) The number of binary digits required to encode a sample is the number of bits needed to represent L = 65,536 levels. This is equal to the base-2 logarithm of L, or log<sub>2</sub>L. Therefore, the number of binary digits required to encode a sample is log<sub>2</sub>L = log<sub>2</sub>65536 = 16 bits.
(b) The signal-to-quantization-noise ratio (SQNR) is the ratio of the signal power to the quantization noise power. The quantization noise power is the difference between the signal power and the quantized signal power, normalized by the number of bits. Therefore, the SQNR is given by:
SQNR = 10 * log<sub>10</sub> (signal power / quantization noise power)
= 10 * log<sub>10</sub> ((signal power) / (signal power - quantized signal power))
= 10 * log<sub>10</sub> (1 + (quantized signal power / (signal power - quantized signal power)))
Since the signal power is 0.1 W and the peak voltage is 1 V, the signal power is (1 V)<sup>2</sup> / (2 * 1 Ω) = 0.5 W. The quantized signal power is (1 V)<sup>2</sup> / (2 * L) = (1 V)<sup>2</sup> / (2 * 65536) = 2.4 x 10<sup>-5</sup> W. Therefore, the SQNR is:
SQNR = 10 * log<sub>10</sub> (1 + (2.4 x 10<sup>-5</sup> W / (0.5 W - 2.4 x 10<sup>-5</sup> W)))
= 10 * log<sub>10</sub> (1 + 480)
= 10 * log<sub>10</sub> 481
= 10 * 2.68
= 26.8 dB
(c) The number of binary digits per second (bits/s) required to encode the audio signal is the number of bits per sample multiplied by the number of samples per second. Since each sample is encoded using 16 bits, and the audio signal is sampled at a rate of 44,100 samples per second, the number of bits per second required to encode the signal is 16 bits/sample * 44,100 samples/s = 705,600 bits/s.
(d) To transmit the encoded signal, the minimum bandwidth required is equal to the number of bits per second required to encode the signal. Therefore, the minimum bandwidth required to transmit the encoded signal is 705,600 bits/s.
Therefore, the correct answers are as given above
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Graphics language electronic processing is not computer graphics.Single choice. True False
Answer:
True
Explanation:
We can make this conclusion because the term Computer graphics usually refers not to a computer language, but to a technology found in computers that allows the display of images on the computer.
This technology is made possible by certain computer hardware and software but not the "Graphics language electronic processing."
Selecting the range before you enter data saves time because it confines the movement of the active cell to the selected range (T/F).
Its True the range before you enter data saves time because it confines the movement of the active cell to the selected range .
What is data
Data is information that has been collected and organized in a meaningful way. Data can be quantitative (numbers) or qualitative (descriptive and subjective information). Data can come from surveys, experiments, observations and other sources. Data is a valuable asset and is used to inform decisions, create insights, and uncover trends and patterns. Data can be structured (structured in a way that makes it easy to search, sort, and analyze) or unstructured (not organized in a conventional way). Data can be used to identify problems, generate and test hypotheses, and measure the success of different strategies. Data is a key component of any organization and is used to help inform decisions, gain insights, and improve operations.
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b) Discuss the recent trends in Production and operations management.
Explanation Operations management is an area of management concerned with designing and controlling the process of production and redesigning business operations in the production of goods or services.[1] It involves the responsibility of ensuring that business operations are efficient in terms of using as few resources as needed and effective in meeting customer requirements.
Find the first five terms of the sequence defined by an=6an-1
Answer:
The first five terms of the given geometric sequence are
8,40,200,1000,5000
Explanation:
:)
Which of the following are examples of guarding? Select all that apply. warning labels elevated platforms partitions locked circuit breaker panel enclosed rooms lockout/tagout Question 8 of 10
The option that is an example of Guarding are:
warning labels elevated platforms partitions locked circuit breaker.What is a locked circuit breaker?
Circuit breaker locks are used to prevent the unintentional or deliberate shutting off of certain electrical circuits. A circuit breaker lock is fitted on a Square-D circuit breaker, which is suitably colored red and marked. This breaker lock can only be opened with a key.
Guarding is situating or enclosing electric equipment to prevent individuals from unintentionally coming into touch with live parts. Effective guarding necessitates placing equipment with exposed parts that operates at 50 volts or more in a location that is only accessible to authorized individuals who are competent to deal with it.
Shielding, protective barriers, or insulating materials must be used to protect workers from electric shock, burns, or other electrical-related injuries when working on exposed low-voltage parts that may be touched or that may generate hazardous electrical heat or arcing.
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Which one of these processes is the most wasteful: Solidification processes - starting material is a heated liquid or semifluid Particulate processing - starting material consists of powders Deformation processes - starting material is a ductile solid (commonly metal) Material removal processes - like machining
Among the given processes, the most wasteful process is material removal processes - like machining. Hence, the option (D) is correct.
Machining is a manufacturing process that includes a wide range of technologies for removing material from a workpiece to produce the desired shape and size. The workpiece is usually made of metal, but it can also be made of other materials, such as wood, plastic, or ceramic.
The aim of machining is to achieve a particular shape, size, or surface finish, or to remove material to achieve a particular tolerance or flatness. Material removal processes - like machining are the most wasteful because they remove a significant amount of material from the workpiece, resulting in a considerable amount of waste material. Therefore, material removal processes are considered the most wasteful among the given processes.
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To find the dimension of mechanical equipment on a project ,you would look?
In any mechanical project, calculating the measurements of the equipment is an essential task.
Why is this important?As a result, it is paramount to reference the numerical details outlined in either the drawings or specifications related to that endeavor.
Fundamentally, these documents comprise height, width, and length. If precise dimensions are not available, collaborating with mechanical engineers or equipment manufacturers could be beneficial.
Moreover, guarantee that the measurements harmonize with the conception and capacity of the project to keep away from probable superfluous installation or usefulness snags.
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A tensile test is performed on a metal specimen, and it is found that a true
plastic strain of 0.16 is produced when a true stress of 500 MPa is applied; for the
same metal, the value of K in the quation is 825 MPa). Calculate the true strain that
results from the application of a true stress of 600 MPa .
Answer:
600 mpa
Explanation:
It's smart for a equation then you reperfuce
error in library( ) : there is no package called ‘ ’
Answer:
To run R scripts using Rscript and loading necessary packages, you need to ensure that the package paths are correctly set up. The following steps could help resolve the issue:
Check if the package is installed using .libPaths() and installed.packages() commands in R, and ensure the package is available.
Run Sys.getenv('R_LIBS_USER') in R console to get the user library directory for the R environment in use.
Run Rscript.exe -e "Sys.getenv('R_LIBS_USER')" on the command line to get the user library directory for the Rscript environment.
Ensure you set the same R_LIBS_USER environment variable in R and Rscript using Sys.setenv("R_LIBS_USER"="path/to/user/library") in R.
Run Rscript.exe -e ".libPaths()" on the command line, and ensure the value returned is the same as the R_LIBS_USER path set in step 4.
Note: Remember that paths to libraries contain either backslashes () or forward slashes (/), depending on the operating system being used.
Example code:
library(timeSeries) #This is the package that failed to load
To fix the issue:
# From the R console
.libPaths() # Get the user library path
# From the command line
Rscript.exe -e "Sys.getenv('R_LIBS_USER')" # Get the user library path for Rscript
# Set R_LIBS_USER environment variable in R
Sys.setenv("R_LIBS_USER"="path/to/user/library") # Replace path/to/user/library with the actual directory to user/library
# Set R_LIBS_USER environment variable in Rscript
setenv R_LIBS_USER=path/to/user/library # Replace path/to/user/library with the actual directory to user/library
# Compare paths from R and Rscript
Rscript.exe -e ".libPaths()" # Compare with R_LIBS_USER path
library(timeSeries) # Should work now!
Regarding the installation issue of packages, it may be a permission issue and running the R session as administrator may help. Additionally, make sure that the directory where packages are installed has write permissions for the current user.
Example code:
install.packages("ggplot2") # Ensure double quotes are used with package name
To fix the issue:
Try running R or RStudio as administrator.
Check the
Explanation:
QUESTION 6 Assignment C. Kobils Engineering Company wishes to employ a qualified foreman to oversee operations at its plant. The right person must have the following requirements: . Grade 12 School Certificate with five "O" levels. . Advanced Certificate in a relevant engineering field. 1 . Minimum of two years working experience. : Member of EIZ Prepare a detailed Curriculum Vitae for the position, include any other relevant details. Assignment 2 (20 marks)
The Curriculum Vitae (CV) for the foreman position should include Grade 12 School Certificate, relevant engineering certification, work experience, and EIZ membership.
Curriculum Vitae (CV) for the position of a qualified foreman at Kobils Engineering Company:
Personal Information: Include your full name, contact details (phone number, email address, residential address), and date of birth.
Objective:State your career objective as a qualified foreman, highlighting your commitment to overseeing operations efficiently and effectively.
Education:Grade 12 School Certificate with five "O" levels.
Advanced Certificate in a relevant engineering field. Specify the specific engineering field and the institution where you obtained the certificate.
Work Experience:Provide details of your work experience, emphasizing relevant roles where you demonstrated leadership, problem-solving, and organizational skills. Include the company name, job title, duration of employment, and key responsibilities.
Minimum of two years of working experience should be mentioned.
Professional Memberships:Mention your membership in the Engineering Institute of Zambia (EIZ) as it demonstrates your commitment to professional development and adherence to industry standards.
Skills:Highlight your technical skills and knowledge relevant to the foreman role, such as project management, team coordination, quality control, and adherence to safety regulations.
Achievements:Include any notable achievements or awards related to your engineering career, such as successful project completions or improvements in operational efficiency.
References:Provide the names, designations, contact details, and professional relationships of individuals who can provide references attesting to your qualifications and work ethic.
Remember to format the CV professionally, include accurate and up-to-date information, and tailor it to showcase your qualifications and experience specifically for the foreman position at Kobils Engineering Company.
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An example of a(n) __________ is building a new home on a lot.
a. modular layout
b. product layout
c. process layout
d. fixed-position layout
The correct option is:d. fixed-position layout.
A fixed-position layout involves bringing all the necessary resources and materials to a single location to complete a project. In the case of building a new home on a lot, all the materials and resources needed to construct the home would be brought to the lot and assembled on-site.
In a fixed-position layout, the product being constructed stays in one location, and the resources, such as labor, equipment, and materials, are brought to it. This layout is most suitable for large, complex, or heavy products that cannot be easily moved during production, such as building a new home on a lot.
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On calculating which of the following quantities , does the body have an effect in simple projectile motion?
Answer:
Force is a kinetic quantity. Force = m x a. Hence, the mass of the body has an effect on force calculation.
3. Which of these instruments is used to measure wind speed? A. anemometer C. wind sock B. thermometer D. wind vane It is an instrument that can show both the wind speed and direction. A. Anemometer C. Wind sock B. thermometer D. wind vane 4. 5. At what time does air temperature changes? A. from time to time C. in the evening only B. in the afternoon only D. in the morning only
Answer:
wind vane if it can be used to show wind speed and the other is a
Explanation:
please mark 5 star if im right and brainly when ya can
a what type of contact is used with the High pressure switch?
An intelligence signal is amplified by a 65% efficient amplifier before being combined with a 250W carrier to generate an AM signal. If it is desired to operate at 50% modulation, what must be the dc input power to the final intelligence signal amplifier
Answer:
"192.3 watt" is the right answer.
Explanation:
Given:
Efficient amplifier,
= 65%
or,
= 0.65
Power,
\(P_c=250 \ watt\)
As we know,
⇒ \(P_t=P_c(1+\frac{\mu^2}{2} )\)
By putting the values, we get
\(=P_c(1+\frac{1}{2} )\)
\(=1.5 \ P_c\)
Now,
⇒ \(P_i=(P_t-P_c)\)
\(=1.5 \ P_c-P_c\)
\(=\frac{P_c}{2}\)
DC input (0.65) will be equal to "\((\frac{P_c}{2} )\)".
hence,
The DC input power will be:
= \(\frac{250}{2}\times \frac{1}{0.65}\)
= \(\frac{125}{0.65}\)
= \(192.3 \ watt\)
A nutrunner on the engine assembly line has been faululing for low torque. (A nutrunner is an automated machine that automatically torques bolts to a specified condition.) When the fault odcurs, the line stops until someone can investigate or correct the issue. This has been a problem for the past two weeks, and all employees on the assembly line are having to work overtime each day to make up for the lost time from the nutrunner issues. Please explain and visualize the process you would take to solve or improve this problem.
A nutrunner on the engine assembly line has been failing for low torque. process includes identifying the root cause of the fault, and optimizing the nut runner's performance.
The first step would be to investigate the cause of the low torque issue in the nut runner. This may involve examining the machine, reviewing maintenance records, and gathering data on when and how the fault occurs. Once the root cause is identified, corrective actions can be taken. This may include repairing or replacing faulty components, recalibrating the nut runner, or updating software/firmware.
To prevent future occurrences, implementing a preventive maintenance program is crucial. Regular inspections, scheduled maintenance tasks, and performance testing can help identify and address potential issues before they lead to line stoppages. Additionally, providing thorough training to operators and maintenance staff on nutrunner operation, maintenance procedures, and troubleshooting techniques can contribute to quicker resolution of faults and reduce downtime.
Continuous monitoring of the nutrunner's performance is essential to ensure it operates within specified tolerances. This can be done through real-time data collection and analysis, including torque measurement and trend analysis. By closely monitoring the nutrunner's performance, any deviations or anomalies can be detected early, allowing for proactive interventions.
Overall, a systematic approach that combines investigation, preventive maintenance, employee training, and continuous monitoring can help solve the problem of the faulty nutrunner and improve the efficiency and productivity of the assembly line.
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The specific grounding and bonding requirements for an information technology room are located in which article of the nec?
The specific grounding and bonding requirements for an information technology room are located in Article 645.
What does NEC stand for?
The National Electrical Code (NEC) is a collection of requirements for the secure installation of electrical wiring in the US that are routinely updated.
Bonding is the joining of conductors that do not convey current, such as enclosures and buildings. Bonded systems are attached to the earth by grounding. To protect persons and property from electric risks, both are required.
Article 645 compliance is optional. The two main pardons provided by Article 645 are. First, underneath a raised floor, non-plenum-rated cables are acceptable. Second, cables, boxes, and similar items for the mentioned IT equipment are exempt from the need for security. sted IT equipment cables, boxes, and the like are not required to be secured in place.
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Draw the appropriate flowchart symbols for each
of the following statement
I. Accept Variable num
II. Is num > 0 ?
III. Display num
IV. Num = num + 1
V. Stop
Here are the appropriate flowchart symbols for each of the statements:
I. Accept Variable num: Parallelogram with "Input/Output" written inside
II. Is num > 0 ?: Diamond with "Yes" and "No" written on either side
III. Display num: Parallelogram with "Input/Output" written inside
IV. Num = num + 1: Rectangle with "Process" written inside
V. Stop: Oval with "Terminator" or "End" written inside
Putting all these symbols together, the flowchart would look like this:
+--------------+
| |
+---->+ Input/Output |
| | |
| +------+-------+
| |
| v
| +-----+-----+
| | |
| | Diamond |
| | |
| +-+-----+---+
| | Yes |
| v v
| +-------+---+
| | |
| | Input/Output |
| | |
| +-------+---+
| |
| v
| +-------+-+
| | |
| | Process |
| | |
| +---------+
| |
| v
| +-------+-+
| | |
| | End |
| | |
| +---------+
|
+--------------+
discuss the benefits of modern communication technology
Answer:
talk to people
Explanation:
you can communicate with people around the world and in different area
As part of a heat treatment process, cylindrical, 304 stainless steel rods of 100-mm diameter are cooled from an initial temperature of 500 C by suspending them in an oil bath at 30 C. If a convection coefficient of 500 W/m2 K is maintained by circulation of the oil, how long does it take for the centerline of a rod to reach a temperature of 50 C, at which point it is withdrawn from the bath
Answer:
Explanation:
Given that:
diameter = 100 mm
initial temperature = 500 ° C
Conventional coefficient = 500 W/m^2 K
length = 1 m
We obtain the following data from the tables A-1;
For the stainless steel of the rod \(\overline T = 548 \ K\)
\(\rho = 7900 \ kg/m^3\)
\(K = 19.0 \ W/mk \\ \\ C_p = 545 \ J/kg.K\)
\(\alpha = 4.40 \times 10^{-6} \ m^2/s \\ \\ B_i = \dfrac{h(\rho/4)}{K} \\ \\ =0.657\)
Here, we can't apply the lumped capacitance method, since Bi > 0.1
\(\theta_o = \dfrac{T_o-T_{\infty}}{T_i -T_\infty}} \\ \\ \theta_o = \dfrac{50-30}{500 -30}} \\ \\ \theta_o = 0.0426\\\)
\(0.0426 = c_1 \ exp (- E^2_1 F_o_)\\ \\ \\ 0.0426 = 1.1382 \ exp (-10.9287)^2 \ f_o \\ \\ = f_o = \dfrac{In(0.0374)}{0.863} \\ \\ f_o = 3.81\)
\(t_f = \dfrac{f_o r^2}{\alpha} \\ \\ t_f = \dfrac{3.81 \times (0.05)^2}{4.40 \times 10^{-6}} \\ \\ t_f= 2162.5 \\ \\ t_f = 36 mins\)
However, on a single rod, the energy extracted is:
\(\theta = pcv (T_i - T_{\infty} )(1 - \dfrac{2 \theta}{c} J_1 (\zeta) ) \\ \\ = 7900 \\times 546 \times 0.007854 \times (500 -300) (1 - \dfrac{2 \times 0.0426}{1.3643}) \\ \\ \theta = 1.54 \times 10^7 \ J\)
Hence, for centerline temperature at 50 °C;
The surface temperature is:
\(T(r_o,t) = T_{\infty} +(T_1 -T_{\infty}) \theta_o \ J_o(\zeta_1) \\ \\ = 30 + (500-30) \times 0.0426 \times 0.5386 \\ \\ \mathbf{T(r_o,t) = 41.69 ^0 \ C}\)
Please help ASAP and show all work. Thanks
1. An industrial water shutoff valve is designed to operate with 10 lb of effort force. The valve will encounter 100 lb of resistance force applied to a 2 in. diameter axle.
--a. What is the required actual mechanical advantage of the system?
--b. What is the required wheel diameter to overcome the resistance force?
2. A worker on a zip line crew lifts participants weighing approximately 200 lb several times a day from the ground 20 feet below. A block and tackle system is designed with 50 lb of effort force designed to lift the materials.
--a. What is the required actual mechanical advantage?
--b. How many supporting strands will be needed in the pulley system?
3. A simple gear train is composed of three gears. Gear A is the driver and has 10 teeth, gear B has 8 teeth, and gear C has 20 teeth.
--a. If the output is at C, what is the gear ratio?
--b. If gear A rotates at 60 rpm, how fast is gear C rotating?
--c. If the output of torque at gear C is 150 ftlb, what is the input torque at gear A?
4. Look at the picture provided.
--a. What class of lever is shown in the figure? (How do you know?)
--b. How much effort force is needed to balance the 100 lb load?
Answer:
1. --a 10
--b 100 in.
2. --a 4
--b 4
3. --a 2
--b 30 rpm
--c 75 ft.·lb.
4. --a Second class lever
--b 50 lbs.
Explanation:
The Actual Mechanical Advantage, AMA, is given as follows;
\(AMA = \dfrac{F_R}{F_E}\)
Where;
\(F_R\) = The resistance force magnitude
\(F_E\) = The effort force magnitude
1. a. We have;
\(F_R\) = 10 lb.
\(F_E\) = 100 lb.
\(AMA = \dfrac{100 \ lb}{10 \ lb} = 10\)
b. \(Mechanical \ advantage, \ M.A. = \dfrac{Distance \ moved \ by \ load}{Distance \ moved \ by \ effort}\)
The diameter of the axle, d = 2 in.
Let 'D' represent the diameter of the wheel, we have;
The distance moved by the axle, c = π·d
The distance moved by the load, C = π·D
\(M.A. = 10 = \dfrac{\pi \cdot D}{\pi \times 2}\)
∴ 2 × 10 = D
D = 20 in.
The required wheel diameter to overcome the resistance force, D = 100 in.
2. --a The mass of the participants, m = 200 lb.
The depth of the ground of the participants = 20 feet
The effort force = 50 lb
Actual Mechanical Advantage, AMA = 200 lb./(50 lb.) = 4
--b. The number of strands of pulley needed ≈ The mechanical advantage = 4
3. The number of gears on Gear A = 10 teeth
The number of gears on Gear B = 8 teeth
The number of gears on Gear C = 20 teeth
-a. Given that the driver gear = Gear A
The output gear = Gear C
\(The \ gear \ ratio = \dfrac{The \ number \ of \ teeth \ on \ the \ driven \ gear}{The \ number \ of \ teeth \ on \ the \ driver \ gear}\)
The driver gear = The input gear
Therefore, we have;
\(The \ gear \ ratio = \dfrac{20 \ teeth}{10 \ teeth} = 2\)
The gear ratio = 2
-b \(The \ gear \ ratio = \dfrac{The \ driver \ gear\ speed}{The \ driven \ gear\ speed}\)
Therefore, we have;
\(The \ gear \ ratio = 2 = \dfrac{60 \ rpm}{Gear\ C \, speed}\)
\(Gear\ C \, speed = \dfrac{60 \ rpm}{2} = 30 \ rpm\)
-c The output (driven) gear torque at Gear C = 150 ft.·lb.
\(The \ gear \ ratio = \dfrac{Driven \ gear \ torque}{Driver \ gear \ torque}\)
Therefore;
\(2 = \dfrac{150 \ ft \cdot lb}{Driver \ gear \ torque}\)
\(Driver \ gear \ torque = \dfrac{150 \ ft \cdot lb}{2} = 75 \ ft \cdot lb\)
The input (driver) torque at Gear A = 75 ft·lb
4. -a Given that the load is between the effort and the fulcrum, we have;
The type of lever is a second class lever
-b The distance between the load and the fulcrum = 4 feet
The distance between the effort and the fulcrum = 8 feet
We have;
100 lbs × 4 ft. = Effort × 8 ft.
∴ Effort = 100 lbs × 4 ft./(8 ft.) = 50 lbs.
The effort = 50 lbs.
what does a submarine do when the air in its huge air tanks is decompressed?
The more the gas is compressed, the less volume it takes up at a given pressure. There is a direct correlation between volume and temperature.
Many everyday facts allow you to observe this behaviour of gases, such as the fact that the volume of trapped air in a syringe decreases with pressure when you press down on the plunger while covering the exit hole. Boyle's law for ideal gases, which states that PV = constant and that P is inversely linked to volume, can also be used to demonstrate this. The average density will drop, making the submarine float since the volume of the tanks and the submarine isn't changing (stay constant) and the object's mass (the submarine with tanks) is decreasing (due to the discharge of a significant amount of air).
Learn more about Boyle's law for ideal gases here:
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Water flows around a 6-ft diameter bridge pier with a velocity of 12 ft/s. Estimate the force (per unit length) that the water exerts on the pier. Assume that the flow can be approximated as an potential fluid flow around the front half of the cylinder, but due to flow seperation, the average pressure on the rea half is constant and approximately equal to 1/2 the pressure at point A.
Answer: hello the diagram related to your question is missing please the third image is the missing part of the question
Fx = 977.76 Ib/ft
Explanation:
Estimate the force that water exerts on the pier
V = 12 ft/s
D( diameter ) = 6 ft
first express the force on the first half of the cylinder as
Fx1 = - \(-2\int\limits^\pi _\frac{\pi }{2} {Ps*cos\beta *a} \, d\beta\) ---------------- ( 1 )
where ; Fy = 0
Ps = Po + 1/2 Pv^2 ( 1 - 4 sin^2β ) ------------- ( 2 )
Input equation (2) into equation ( 1 ) (note : assuming Po = 0 )
attached below is the remaining part of the solution