A test model is placed in the test section of a subsonic wind tunnel with a test-section to inlet nozzle area ratio of 0.145. If the free-stream velocity inside the test section is 95 m/s, calculate the pressure difference (in N/m^2) between the inlet nozzle and test-section. Assume standard sea level conditions and select the closest answer.

Answers

Answer 1

In conclusion, by applying Bernoulli's equation and considering the given values, we have determined that the pressure difference between the inlet nozzle and the test section in the subsonic wind tunnel is 5769.625 N/m^2.

To calculate the pressure difference between the inlet nozzle and the test section, we can use Bernoulli's equation, which states that the total pressure at any point in a fluid flow is the sum of the static pressure, dynamic pressure, and hydrostatic pressure.
In this case, we can assume that the air flow is incompressible and inviscid. Given the test-section to inlet nozzle area ratio of 0.145 and a free-stream velocity of 95 m/s, we can find the velocity at the inlet nozzle.
Using the equation:
Velocity at the inlet nozzle = (test-section to inlet nozzle area ratio) * (free-stream velocity)
Velocity at the inlet nozzle = 0.145 * 95 = 13.775 m/s
Since the air is flowing from the inlet nozzle to the test section, the velocity at the test section is 95 m/s.
Now, we can calculate the pressure difference using Bernoulli's equation:
Pressure at the inlet nozzle + dynamic pressure at the inlet nozzle = Pressure at the test section + dynamic pressure at the test section
Since the dynamic pressure is given by 0.5 * density * velocity^2, we can rewrite Bernoulli's equation as:
Pressure at the inlet nozzle + 0.5 * density * (velocity at the inlet nozzle)^2 = Pressure at the test section + 0.5 * density * (velocity at the test section)^2
At standard sea level conditions, the density of air is approximately 1.225 kg/m^3.
Substituting the values into the equation, we get:
Pressure at the inlet nozzle + 0.5 * 1.225 * (13.775)^2 = Pressure at the test section + 0.5 * 1.225 * (95)^2
Simplifying the equation, we find:
Pressure at the inlet nozzle - Pressure at the test section = 0.5 * 1.225 * (95)^2 - 0.5 * 1.225 * (13.775)^2
Calculating the right side of the equation, we get:
Pressure at the inlet nozzle - Pressure at the test section = 5769.625 N/m^2
Therefore, the pressure difference between the inlet nozzle and the test section is 5769.625 N/m^2.
In conclusion, by applying Bernoulli's equation and considering the given values, we have determined that the pressure difference between the inlet nozzle and the test section in the subsonic wind tunnel is 5769.625 N/m^2.

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Related Questions

A wastewater treatment plant has a flow of 35,000 m3 /day. Calculate the mass of sludge wasted each day (QwXw, expressed in kg/day) for an activated-sludge system operated at a solids retention time (SRT) of 5 days. Assume an aeration tank volume of 1,640 m3 and an MLSS concentration of 2,000 mg/L.

Answers

Answer:

sorry di ko alam

Explanation:

2.2.2 Make a list of the electronic components that could be used in making this product (energy saving switch). ​

Answers

The electronic components that could be used in making of energy saving switch are:​

Transistors semiconductor devices CapacitorsCoils (inductors)

Which electronic component is used as a switch?

Transistors as  well as other kinds of semiconductor devices are known to be tools or element that can be used in the making of switches. In its use or applications.

Note that the base or gate of a transistor, based  on the kind of transistor that is known to be in use, and it is one that is often employed as a form of control element to be able to switch on as well as switch off the current that often exist between the emitter as well as the collector or the source and that of the drain.

Note also that the electronic components that are able to  store energy in regards to electronic devices, are known to be capacitors and coils (inductors) and they often play a key function of temporarily saving  energy. One key role of a capacitor is to save an electric charge.

Therefore, The electronic components that could be used in making of energy saving switch are:​

Transistors semiconductor devices CapacitorsCoils (inductors)

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What are the four stages of gene expression?

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Regulatory stages of gene expression Chromatin, chromatin remodeling, chromatin domains. transcription. Post-transcriptional modification. RNA transport.

Gene expression is regulated in eukaryotic cells at epigenetic, transcriptional, post-transcriptional, translational and post-translational levels. Environmental factors such as diet, temperature, oxygen levels, humidity, light cycle and the presence of mutagens all affect the genes expressed in animals and ultimately affect the animal's phenotype. Thus, during the expression of protein-coding genes, information flows from DNA → RNA → protein. This directed flow of information is known as the central dogma of molecular biology. A promoter is a region of DNA within 1-2 kilobases (kb) of the transcription start site (TSS) of a gene. They contain short regulatory metallic elements (DNA motifs) required for assembly of the RNA polymerase transcription machinery.

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under which division does roofing materials and processes located

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Roofing materials and processes typically fall under the construction industry, which is a sector within the broader field of engineering and architecture.

What is a construction industry?

Within the construction industry, roofing materials and processes are often categorized under the roofing and waterproofing division, which focuses on the installation and maintenance of roofs for buildings. This division also includes the design and construction of roofing systems, as well as the selection of materials and techniques for roofing applications.

Roofing materials and processes are part of the construction industry, specifically under the roofing and waterproofing division. This division deals with the installation, maintenance, design, and construction of roofing systems, as well as the selection of appropriate materials and techniques for roofing applications.

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A rigid container is completely full of compressed liquid water at 500 kPa. Liquid water is then slowly drained from the container, while the pressure is maintained at 500 kPa in the container. The liquid water is removed until all of the liquid water has been removed. Show this process on a - diagram, and describe what happens to the water during the process.

Answers

We can assume that the water is initially at a pressure of 500 kPa in a compressed liquid condition, and that as it is progressively drained, its state shifts from a compressed liquid to a compressed vapor state, and finally to a superheated vapor state.

What is compressed liquid water?

Subcooled liquid: A substance that has not yet vaporized. Also known as compressed liquid. A liquid that is nearly vaporizing is said to be saturated.

The liquid water progressively drains from a rigid container while being held at a pressure of 500 kPa.

During this process, the water changes states from compressed liquid to compressed vapor to finally superheated vapor.

The - diagram makes it easier for us to see this state shift and comprehend how water behaves in this scenario.

Thus, this happens to the water during the process.

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You have the assignment of designing color codes for different parts. Three colors are used on each part, but a combination of three colors used for one part cannot be rearranged and used to identify a different part. This means that in green, yellow and violet were used to identify a cam shaft, yellow, violet and green (or and combination of these three colors) could not be used to identify a pinion gear. If there are 35 combinations, how many colors are available

Answers

Answer:

7 available

Explanation:

Since 3 colors are available r = 3

Total combination = 35

nCr = 35 ---1

nCr = n!/(n-r)!r!---2

We put equation 1 and 2 together

n-1)(n-2)(n-3)!/n-3)! = 35x 3!

We cancel out (n-3)!

(n-1)(n-2) = 210

7x6x5 = 210

nC3 = 35

7C3 = 35

So If there are 35 combinations, 7 colors are available.

Thank you!

The available colors are illustrations of combination, and there are 7 colors available.

The given parameters are:

\(Total = 35\) --- the number of combinations

\(r = 3\) -- the number of colors in one combination.

The number of combinations is calculated using:

\(Total = ^nC_r\)

Where n represents the number of colors available.

So, we have:

\(35= ^nC_3\)

Apply combination formula

\(35= \frac{n!}{(n - 3)!3!}\)

Expand the numerator

\(35= \frac{n(n - 1)(n - 2)(n - 3)!}{(n - 3)!3!}\)

Cancel out the common factors

\(35= \frac{n(n - 1)(n - 2)}{3!}\)

Expand

\(35= \frac{n(n - 1)(n - 2)}{3 \times 2 \times 1}\)

\(35= \frac{n(n - 1)(n - 2)}{6}\)

Multiply both sides by 6

\(210= n(n - 1)(n - 2)\)

Rewrite the equation as

\(n(n - 1)(n - 2) = 210\)

Using a graphing calculator, we have:

\(n = 7\)

Hence, the number of colors available is 7

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7. For the circuit shown, Vin Vin(t)=sin(wt) and R=100
What is the max current

Answers

Voltage : Vin = Vin(t) = sin(ωt)

Resistance R = 100Ω

According to Ohm's law, Voltage in a circuit is directly proportional to current flowing through it.

The proportionality constant in this case is equal to resistance.

So,

V ~ R

V = IR

as it is given that,

V = sin(ωt)

The maximum value of sign function is equal to 1.

So the maximum voltage in given case = V = 1 volt

Resistance given R = 100Ω

So,

Current according to Ohm's law : I = V/R

putting all the values in equation 2,

I = 1/100 = 0.01 A

so current in this case I = 0.01 ampere

I = 10 mili ampere

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In a repair shop there are 7 cars and 4 pickups to be serviced. A mechanic has time to work on 5 vehicles in a given day. If he chooses to work on 3 cars and 2 pickups today, how many different groups of vehicles can he service?

Answers

The mechanic can service 210 different groups of vehicles by working on 3 cars and 2 pickups.

To determine the number of different groups of vehicles the mechanic can service, we can use the concept of combinations.

The mechanic can choose 3 cars out of the available 7 cars, which can be calculated as C(7, 3) = 35. This represents the number of ways to select 3 cars from a group of 7.

Similarly, the mechanic can choose 2 pickups out of the available 4 pickups, which can be calculated as C(4, 2) = 6. This represents the number of ways to select 2 pickups from a group of 4.

To find the total number of different groups of vehicles the mechanic can service, we multiply the number of choices for cars and pickups together: 35 * 6 = 210.

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Use the HELPrct data from the mosaicData to calculate the mean of all numeric variables (be sure to exclude missing values)

Answers

To calculate the mean of all numeric variables in the HELPrct data from the mosaicData package, we can use the colMeans() function in R. This function calculates the mean of each column in a data frame.

However, it only works on numeric columns, so we need to first remove any non-numeric columns or missing values.
To do this, we can use the select_if() function from the dplyr package to only select columns that are numeric. Then, we can use the na.omit() function to remove any rows with missing values. Finally, we can use the colMeans() function to calculate the mean of each column.
Here's the code:
library(mosaicData)
library(dplyr)
# Select only numeric columns
numeric_cols <- select_if(HELPrct, is.numeric)
# Remove rows with missing values
numeric_cols <- na.omit(numeric_cols)
# Calculate column means
means <- colMeans(numeric_cols)
# Print the result
print(means)
This will give us the mean of each numeric column in the HELPrct data, excluding any missing values.

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On a day in which the local atmospheric pressure is 99.5 kPa, answer each of the following: (a) Calculate the column height of mercury in a mercury barometer in units of meters, feet, and inches. (b) Francis is concerned about mercury poisoning, so he builds a water barometer to replace the mercury barometer. Calculate the column height of water in the water barometer in units of meters, feet, and inches. (c) Explain why a water barometer is not very practical. (d) Ignoring the practicality issue, which of the two (mercury or water) would be more precise

Answers

Answer:

C . . . . . . . . . . . . . . . . . . . . . .

(a) The column height of mercury in a mercury barometer is 7.32 meters, or 24.0 feet, or 95.2 inches.

What is the column height?

(b) The column height of water in a water barometer is 995 meters, or 3268 feet, or 33.9 feet.

(c) A water barometer is not very practical because it would need to be very tall to measure atmospheric pressure.

(d) Ignoring the practicality issue, a mercury barometer would be more precise because mercury is denser than water.

Mercury barometer: 7.32 m, 24 ft, 95.2 in

Water barometer: 995 m, 3268 ft, 33.9 ft

Water barometer not practical because it would be too tall

Mercury barometer more precise because mercury is denser

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Heat engines are cyclic devices that receive heat from a source, convert some of it to work, and reject the rest to a sink.

a) true

b) false

Answers

This statement is true. Heat engines operate in a cyclic manner and receive heat from a high-temperature source, convert some of that heat into useful work, and then reject the remaining heat to a low-temperature sink.

This process is governed by the laws of thermodynamics and is the basis for many practical devices such as steam turbines, internal combustion engines, and refrigerators.Heat engines are cyclic devices that receive heat from a source, convert some of it to work, and reject the rest to a sink.

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I need a detailed solution for the multi part question

I need a detailed solution for the multi part question

Answers

Answer:

z=X=c+J=A

Explanation:

A fluid inlet to a mixing tank at a rate of 2.2 kg/min and NaCl added to the tank at a rate of 0.2 kg/min. The outlet fluid from the tank is at a rate of 2 kg/min. Initially the tank containing 8 kg of the fluid. Determine the concentration inside and outside the tank at time of 2 minutes.​

Answers

At time t=2 min, the concentration inside the tank is 0.042 kg/kg and the concentration outside the tank is 0.476 kg/kg.

How did we get the values?

To determine the concentration inside and outside the tank at 2 minutes, we need to use the mass balance equation:

mass in - mass out + mass generated = change in mass in the tank

At time t=0, the mass in the tank is 8 kg, and there is no mass generated. Thus, we have:

(2.2 + 0.2) kg/min - 2 kg/min + 0 kg/min = dM/dt

Simplifying, we get:

dM/dt = 0.4 kg/min

Integrating both sides, we get:

M(t) = M(0) + (dM/dt) * t

Plugging in the values, we get:

M(2) = 8 kg + (0.4 kg/min) * 2 min = 9.6 kg

Now, we can calculate the concentration inside and outside the tank:

Concentration inside the tank:

At time t=0, the concentration inside the tank is:

Cin(0) = 0 kg/kg (since there is no salt in the tank initially)

At time t=2 min, the amount of salt in the tank is:

Min(2) = 0.2 kg/min * 2 min = 0.4 kg

Thus, the concentration inside the tank is:

Cin(2) = Min(2) / M(2) = 0.4 kg / 9.6 kg = 0.042 kg/kg

Concentration outside the tank:

The rate of salt leaving the tank is 2 kg/min, and at time t=2 min, the total amount of salt leaving the tank is:

Mout(2) = 2 kg/min * 2 min = 4 kg

Thus, the amount of salt remaining in the tank is:

Mrem(2) = M(0) + Min(2) - Mout(2) = 8 kg + 0.4 kg - 4 kg = 4.4 kg

The total mass leaving the tank is 2 kg/min * 2 min = 4 kg. Thus, the concentration outside the tank is:

Cout(2) = Mout(2) / (M(0) + Min(2)) = 4 kg / 8.4 kg = 0.476 kg/kg

Therefore, at time t=2 min, the concentration inside the tank is 0.042 kg/kg and the concentration outside the tank is 0.476 kg/kg.

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A microscope illuminator uses a transformer to step down the 120 V AC of the wall outlet to power a 12.0 V,50 W microscope bulb. What is the resistance of the bulb filament

Answers

Answer:2.88 ohms

Explanation:

R= V^2 / P

12^2/50

144/50

2.88 ohms

A biomedical engineer poked some sensors into a single neuron (nerve cell) in a giant squid to
measure its electrical activity. The voltage signals coming out of the neuron are graphed below.
a) What is the approximate frequency of this signal in this time window? Show your
calculations.
b) How would the graph look different if the frequency was increased? Decreased?

A biomedical engineer poked some sensors into a single neuron (nerve cell) in a giant squid tomeasure

Answers

They found that a squid has 500 million neurons. This number is higher than that of rats (200 million) and is more similar to what a dog's brain contains. The results of their study now appear in the journal Science.

What is neuron?

Neurons (also called neurones or nerve cells) are the fundamental units of the brain and nervous system, the cells responsible for receiving sensory input from the external world, for sending motor commands to our muscles, and for transforming and relaying the electrical signals at every step in between.Neurons are divided into four major types: unipolar, bipolar, multipolar, and pseudounipolar. Unipolar neurons have only one structure extending from the soma; bipolar neurons have one axon and one dendrite extending from the soma.Betz cells (also known as pyramidal cells of Betz) are giant pyramidal cells (neurons) located within the fifth layer of the grey matter in the primary motor cortex.

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A 75-hp, 850 r/min, 500-V series motor has an efficiency of 90.2 percent
when operating at rated conditions. The series field has 30 turns/pole, and
the motor parameters are:

Armature
0.1414 ohms

IP + CW
0.0412 ohms

Series
0.0189 ohms

Resistance,

The motor has a maximum safe speed of 1700 r/min. Is it safe to operate the
motor with a 10-hp shaft load? Use the magnetization curve in Figure
11.16, and show all work. Neglect changes in windage and friction

A 75-hp, 850 r/min, 500-V series motor has an efficiency of 90.2 percentwhen operating at rated conditions.

Answers

It is not safe to operate the motor with a 10-hp shaft load.

Explanation :
Solution-
First, determine the rated speed and current of the motor:
Rated speed = 850 r/min
Rated current = 500 V / (0.1414 ohms + 0.0412 ohms + 0.0189 ohms) = 30.22 A
Next, determine the speed and current for a 10-hp shaft load:
Speed = 1700 r/min
Current = 10 hp / (75 hp * 0.902) = 0.1343 A
Finally, determine whether it is safe to operate the motor with the 10-hp shaft load using the magnetization curve. we can see that the current at 1700 r/min is 0.1264 A, which is less than the current for the 10-hp shaft load (0.1343 A).

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A list of 16 issues that led to incorrect formulations in Tuncey Bayrak's jam manufacturing unit in New England is provided below:1. Incorrect measurement2. Antiquated scales3. Lack of clear instruction4. Damaged raw material5. Operator misreads display6. Inadequate cleanup7. Incorrect maintenance8. Inadequate flow controls9. Variability in scale accuracy10. Equipment in disrepair11. Technician calculation off12. Jars mislabeled13. Temperature controls off14. Incorrect weights15. Priority miscommunication16. Inadequate instructions** Create a fish-bone diagram and categorize each of these issues correctly, using the 4 m's method. **

Answers

A fishbone diagram, as the name implies, is a representation of a fish skeleton.

Underlying problems of the Fish head:

The underlying problem is represented by the fish's head (facing right), and the causes are represented by the bones of the skeleton; the ribs branch off the back and represent major causes, while sub-branches represent root causes.

The 4M method identifies and groups causes that have an impact on a specific effect. The 4M categories (Material, Method, Machine, and Man) are frequently used in Kaoru Ishikawa's Cause-Effect

What is a Fishbone Diagram ?

A fishbone diagram is a cause-and-effect discovery tool that assists in determining the cause(s) of defects, variations, or failures in a process.

In other words, it aids in the breakdown of root causes that may contribute to an effect in successive layers.

A fishbone diagram, also known as an Ishikawa diagram or cause-and-effect analysis, is one of the primary tools used in root cause analysis.

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A list of 16 issues that led to incorrect formulations in Tuncey Bayrak's jam manufacturing unit in New

What unit of electricity is used as a signal for a computer?

Answers

Answer:

A power supply unit (PSU) converts mains AC to low-voltage regulated DC power for the internal components of a computer. Modern personal computers universally use switched-mode power supplies

Answer:

Volt is the SI (Standard International) unit of electrical potential of the..

Explanation:

A four-lane divided multilane highway (two lanes in each direction) in rolling terrain has five access points per mile and 11-ft lanes with a 4-ft shoulder on the right side and a 2-ft shoulder on the left. The peak-hour factor is 0.84 and the traffic stream consists of 6% trucks, 4% buses, and 3% recreational vehicles. The driver population adjustment factor is estimated at 0.90. If the analysis flow rate is 1250 pc/h/ln, what is the peak-hour volume

Answers

Answer:

peak-hour volume = 1890 veh/h

Explanation:

Determine the peak-hour Volume

Applying the equation below

Vp =  v / ( PHF * N * Fg * Fdp )  -------------- ( 1 )

where :

Vp = 1250

v ( peak - hour volume ) =  ?

PHF ( peak hour factor ) = 0.84

N  = 2 lanes per direction

Fg ( grade adjustment for rolling terrain ) = 0.99 ≈ 1

Fdp = 0.90

Back to equation 1

v = Vp (  PHF * N * Fg * Fdp )  

  = 1250 ( 0.84 * 2 * 1 * 0.90 )

  = 1890 veh/h

In I-Q modulation technique, many symbols or signals with different amplitude and phase are generated. What is the map of all of the symbols called:____.
a. signal diagram.
b. frequency spectrum.
c. 2-D graph.
d.constellation diagram.

Answers

Answer:

In I-Q modulation technique, many symbols or signals with different amplitude and phase are generated. What is the map of all of the symbols called:____.

d. constellation diagram.

Explanation:

A constellation diagram is a representation of all the possible symbols that a system can transmit.  It shows these as a collection of points on the map.  For a signal modulated by a digital modulation scheme, the constellation diagram is used to display both the ideal (reference) signal and the actual measured signal on the same plot.  Modulation simply means the process of converting data into electrical signals so that they are optimized for transmission.

The rotator cuff contains four muscles: Supraspinatus controls internal rotation and lifting of the arm. Infraspinatus allows you to externally rotate your arm in the shoulder socket.

Answers

The rotator cuff is a group of four muscles and their tendons that connect the shoulder blade to the upper arm bone. These muscles include the supraspinatus, infraspinatus, teres minor, and subscapularis.

The supraspinatus muscle is responsible for initiating abduction of the arm (lifting it out to the side) and helps to stabilize the shoulder joint. It also assists in internal rotation of the arm.

The infraspinatus muscle is responsible for external rotation of the arm, which allows you to rotate your arm outward away from your body. It also helps to stabilize the shoulder joint.

The teres minor muscle also contributes to external rotation of the arm and helps to stabilize the shoulder joint.

The subscapularis muscle is the only muscle of the rotator cuff that is located on the front (anterior) side of the shoulder blade. It is responsible for internal rotation of the arm and helps to stabilize the shoulder joint.

Injuries to the rotator cuff are common and can be caused by repetitive overhead motions or traumatic events. Symptoms can include pain, weakness, and limited range of motion in the shoulder. Treatment may include physical therapy, rest, and in severe cases, surgery.

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Which option identifies the tool best to use in the following scenario?
Theresa has just purchased a crib and needs to assemble it quickly. The crib came with instructions, but no tools, and she does not know what she needs. On all of the screws in her kit, there is a six-sided hole in the head.

an Allen wrench
a Phillips screwdriver
a flathead screwdriver
an adjustable crescent wrench
NEXT QUESTION

Answers

Answer:

an Allen wrench

Explanation:

it is hexagonal

The most recently available data show that ___ of the natural background exposure come primarily from the gaseous radionuclide, radon, and to a lesset degree, the radionuclide, thoron.a. 0.1 mSvb. 1.5 mSvc. 2.3 mSvd. 5.5 mSv

Answers

The most recent data indicate that the radioactive radon, and to a lesser extent the radionuclide thoron, account for around 55% of the natural background radiation exposure.

How much of the ambient radiation is derived from natural sources?

The pie chart displays a typical division between background radiation from natural sources and radiation from man-made sources. The population receives around 88% of its annual dosage of radiation from natural sources, with most of the remaining 12% coming from medical procedures.

How much of the ambient radiation is caused by radon gas?

Ionizing radiation has a negative impact on human health, which is widely established. Among those that have a natural origin, radon is the main source of background radiation. For humans, it accounts for around 55% of the exposure from natural radiation.

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"All data types are keywords but all keywords are not data types", justify this statement.​

Answers

Hey Mate Here Is Your Answer

Keywords Are Reserved Words Which Are Not Use As Normal Cases But Used For Special Purpose In Our Program whereas, Data Type Tells The Compiler And Interpreter How The Program Is Going To Be Executed And Can Be Used At Every Cases.

Hope This Helps You ❤️

Based on how they are stored in the computer, the types produced by these keywords can be categorized into two families, integer types and floating-point types.

What is the relation between data and keyword?

Bit, byte, and word are terminology that can be used to refer to either memory or data storage units in computers.

The main distinction between text fields and keyword fields is that text fields are examined during indexing, whereas keyword fields are not.

This means that while keyword fields are indexed exactly as is, text fields are split down into their constituent phrases at indexing to allow for partial matching.

A word or collection of words that an Internet user enters into a search engine or search bar to conduct a search is referred to as a keyword in the context of digital marketing.

Therefore, All data types are keywords, but all keywords are not data types.

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A river system is an example of _____________. A. a material cycle only B. a closed flow system C. an energy flow system only D. a matter and energy flow system

Answers

Answer:

A. a material cycle

Explanation:

The material cycle is the cycle of materials on the Earth through living organisms and the environment.

Fig. 1. shows a support system for a wooden balcony, knowing that the tension is 425 lb. in cable AB and 510 lb. in cable AC, determine the magnitude and direction of the resultant of the forces exerted at A by the two cables.

Fig. 1. shows a support system for a wooden balcony, knowing that the tension is 425 lb. in cable AB

Answers

Answer: point A[{-40i + 0j + 45k}], B[{0i + 0j + 60k}], C[{ 60i + 0j + 60k}] from there you can now find the Magnitudes then The unit vectors multiplied by the forces provided 425lb AB and 510lb AC.

Explanation:

Given the following MATLAB statement: ( 3 + 2 ) / 5 * 4 + 5 ^ 2 In what order will these operations be done?

Answers

Answer:

first is the parentheses, (3+2)=5 next is the exponent 5^2=25, next is the division 5 / 5 = 1, then the multiplication 4*1=4 and then you add 4+25=29. so the answer is 29.

The cars of a roller-coaster ride have a speed of 19.0 km/h as they pass over the top of the circular track. Neglect any friction and calculate their speed v when they reach the horizontal bottom position. At the top position, the radius of the circular path of their mass centers is 21 m, and all six cars have the same mass. What is v?

Answers

Complete Question

The cars of a roller-coaster ride have a speed of 19.0 km/h as they pass over the top of the circular track. Neglect any friction and calculate their speed v when they reach the horizontal bottom position. At the top position, the radius of the circular path of their mass centers is 21 m, and all six cars have the same mass.V = -18 m What is v?X km/h

Answer:

\(v=23.6m/s\)

Explanation:

Velocity \(v_c=18.0km/h\)

Radius \(r=21m\)

initial velocity u\(u=19=>5.27778\)

Generally the equation for Angle is mathematically given by

\(\theta=\frac{v_c}{2r}\)

\(\theta=\frac{18}{2*21}\)

\(\theta=0.45\)

\(\theta=25.7831 \textdegree\)

Generally

Height of mass

\(h=\frac{rsin\theta}{\theta}\)

\(h=\frac{21sin25.78}{0.45}\)

\(h=20.3m\)

Generally the equation for Work Energy is mathematically given by

\(0.5mv_0^2+mgh=0.5mv^2\)

Therefore

\(v=\sqrt{u^2+2gh}\)

\(v=\sqrt{=5.27778^2+2*9.81*20.3}\)

\(v=23.6m/s\)

TWO students are discussing quality multimeters fuses.
Student A states fuses used in higher category meters
are sometimes filled with a sand type material that will
change to glass when exposed to high temperatures
(overload situations). Student B states ceramic fast blow
fuses have a much higher "breaking capacity" or the
fuse's ability to interrupt current flow without being
destroyed or arched over. Which student is wrong

Answers

Answer: 2nd Student (Ceramic student)

Explanation: Ceramic is reliable for fuses more than the paragraph in this states they are. Hence it would be the 2nd student who is wrong.

what is the rated power output in ( kw) of a 8 pole motor designed to an IEC 180L motor frame ?

Answers

Answer:

P=11 kW

Explanation:

Given that

Number of poles= 8

I.E.C. 180L motor frame

From data book , for 8 poles motor at 50 Hz

Speed = 730 rpm

Power factor = 0.75

Efficiency at 100 % load= 89.3 %

Efficiency at 50 % load= 89.1 %

Output power = 11 kW

Therefore the rated output power of 8 poles motor will be 11 kW. Thus the answer will be 11 kW.

P=11 kW

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