Draw the circuit of 3-bit shift register which has parallel shifting and serial- left shifting. Parallel shifting is done with the control 'LD' loading three bits Ai, Bi and Ci to the flip flops A,B and C respectively and the serial shift left is done with 'SL' control input. What will be the output for the following commands and inputs for the successive clocks?. (20 pts) A B So Si SL Ai Bi Ci LD 1 X x 0 1 1 0 1 0 1 0 1 0 1 1 1 0 0 1 1 1 0 1 1 1 1 0 0 1 1 0 1 1 1 0 0 0 1 0 0 0 1 0 1 이ㅇㅇ 0 0 0

Answers

Answer 1

The state of the shift register after two clock cycles of serial shifting left is: A = 0, B = 1, C = 0. So the correct answer is: B

To solve this problem, let's track the state of the shift register after each clock cycle.

Given:

Initial state: A = 0, B = 1, C = 1

Bits to be loaded: Ai = 1, Bi = 0, Ci = 1

Clock cycle 1:

'LD' control input loads the bits Ai, Bi, and Ci into the flip flops.

After loading, the new state of the shift register becomes A = 1, B = 0, C = 1.

Clock cycle 2:

'SL' control input performs a serial shift left operation.

The bit in flip flop A (which is 1) gets shifted to flip flop B, the bit in flip flop B (which is 0) gets shifted to flip flop C, and the bit in flip flop C (which is 1) gets shifted out.

After the shift, the new state of the shift register becomes A = 0, B = 1, C = 0.

Therefore, the state of the shift register after two clock cycles of serial shifting left is:

A = 0, B = 1, C = 0. So the correct answer is: B) A = 0, B = 1, C = 0.

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--The complete Question is, A parallel-in serial-out shift register has three flip flops labeled A, B, and C. The control input 'LD' loads three bits Ai, Bi, and Ci into the flip flops A, B, and C, respectively. The serial shift left is performed with the control input 'SL'. If the initial state of the shift register is A = 0, B = 1, and C = 1, and the bits Ai, Bi, and Ci are loaded as 1, 0, and 1, respectively, what will be the state of the shift register after two clock cycles of serial shifting left?

A) A = 1, B = 1, C = 1

B) A = 0, B = 1, C = 0

C) A = 0, B = 0, C = 1

D) A = 1, B = 0, C = 1 --


Related Questions

How to convert watts to btu?

Answers

1,000 watts of power consumed for one hour is equivalent to 3,412 BTUs of energy.

Watts and BTUs (British Thermal Units) are two common units of power and energy, respectively. Watts are commonly used to measure electrical power, while BTUs are used to measure thermal energy. To convert watts to BTUs, you need to consider the amount of time over which the power is being generated or consumed. Here are the steps to convert watts to BTUs:

Determine the amount of time over which the power is being generated or consumed. For example, let's say that a device is consuming 1,000 watts of power for one hour.Calculate the total energy consumed in watt-hours by multiplying the power in watts by the time in hours. In this example, 1,000 watts x 1 hour = 1,000 watt-hours.Convert watt-hours to BTUs by multiplying by 3.412. This conversion factor is based on the fact that 1 BTU is equivalent to 3.412 watt-hours. In this example, 1,000 watt-hours x 3.412 = 3,412 BTUs.

Therefore, 1,000 watts of power consumed for one hour is equivalent to 3,412 BTUs of energy. This conversion is important when comparing the energy consumption or device output that use different units of measurement for power and energy.

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A fully loaded tractor-trailer traveling at 65 mph under ideal conditions takes a minimum of: A) 3 seconds to stop
B) 6 seconds to stop C) 9 seconds to stop D) 12 seconds to stop

Answers

A fully loaded tractor-trailer traveling at 65 mph under ideal conditions takes a minimum of B) 6 seconds to stop.

The stopping distance of a vehicle depends on many factors such as the speed, the weight of the vehicle, the condition of the brakes and the road surface. Assuming ideal conditions, it can be estimated that a fully loaded tractor-trailer traveling at 65 mph takes at least 6 seconds to stop. This estimate is based on the recommended following distance of at least one car length for every 10 mph of speed.

At 65 mph, the recommended following distance would be about 390 feet. It would take approximately 6 seconds to cover this distance at a constant speed, assuming no braking. However, in reality, it would take longer than 6 seconds to stop a fully loaded tractor-trailer, as braking distance increases with speed and weight.

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a 3500 pf air-gap capacitor is connected to a 22-v battery. if a piece of mica is placed between the plates, how much charge will flow from the battery?

Answers

The amount of charge that will flow from the battery is 77000pC

A capacitor is a device that stores electrical charge. The amount of charge stored in a capacitor is proportional to the voltage applied across it, according to the equation Q = C*V.

where Q is the charge in coulombs, C is the capacitance in farads, and V is the voltage in volts.

In this case, the capacitance of the air-gap capacitor is 3500pF (pico-farads) and the voltage is 22V, so the charge stored in the capacitor is:

Q = 3500pF * 22V = 77000pC (pico-coulombs)

When a piece of mica is placed between the plates, it reduces the space between the plates, which will increase the capacitance of the capacitor. The increase in capacitance will result in an increase in the amount of charge stored in the capacitor.

It's worth noting that the charge that flows from the battery is equal to the initial charge stored in the capacitor. Since the initial charge stored in the capacitor is 77000pC, this is the amount of charge that will flow from the battery.

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As you travel up into the mountains of the troposphere, increasing elevation,
the air pressure...
Oa. Decreases because the air gets more dense
O b. Decreases because the air gets less dense
Oc. Increases because the air gets more dense
Od. Increases because the air gets less dense

Answers

Answer:

OA

Explanation:

when a ferromagnetic material is placed in an electromagnetic coil and a magnetic field is applied: group of answer choices (b) there is a large increase in the magnetic induction (b) (a) the magnetic induction (b) is decreased both a

Answers

When a ferromagnetic material is placed in an electromagnetic coil and a magnetic field is applied, the magnetic induction (B) is increased.

Ferromagnetic materials, such as iron, nickel, and cobalt, have unique properties that make them highly responsive to magnetic fields. When a ferromagnetic material is placed in an electromagnetic coil and a magnetic field is applied, several factors contribute to the increase in magnetic induction (B):Alignment of Magnetic Domains: In the absence of an external magnetic field, the magnetic domains within a ferromagnetic material are randomly oriented, resulting in a net magnetic moment of zero. However, when a magnetic field is applied, the domains align themselves in the direction of the field, leading to an increase in the overall magnetic induction.Magnetic Saturation: Ferromagnetic materials have a saturation point, beyond which further increase in the magnetic field does not significantly increase the magnetic induction. This saturation point is typically higher than that of other magnetic materials, allowing ferromagnetic materials to exhibit a larger increase in magnetic induction.Amplification of Magnetic Field: The presence of a ferromagnetic material within an electromagnetic coil enhances the magnetic field generated by the coil. This phenomenon is known as magnetic amplification or magnetic flux concentration. The ferromagnetic material acts as a magnetic conductor, guiding and intensifying the magnetic field lines, resulting in a larger magnetic induction.In contrast, option (a) stating that the magnetic induction (B) is decreased is incorrect. When a ferromagnetic material is subjected to an external magnetic field, the magnetic induction increases due to the alignment of magnetic domains and the amplification of the magnetic field.

Therefore, the correct answer is:

(a) There is a large increase in the magnetic induction (B)

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What is one way that potential energy might be involved in rescue team missions?

Answers

Answer:

You may be saving someone from a rock slide, where the rocks will fall at any time, before they fall they have potential energy.

Explanation:

A 5 Kg mass has an initial speed of 5m/s. After 3 sec, it has come to a speed of 70 m/s.

a. What is the acceleration of the mass?
b. What net force is acting on the mass during those 3 seconds?

Answers

Answer:

a

 \(a = 21.7 \ m/s^2\)

b

\(F = 108.5 \ N\)  

Explanation:

From the question we told that

   The mass is  m  =  5 kg

    The initial speed \(u = 5 m/s\)

    The time taken to attain \(v = 70 \ m/s\) is  t =  3 s

   

Generally from kinematic equation we have that

     \(v = u + at\)

=> \(70 = 5 + a * 3\)

=>  \(a = 21.7 \ m/s^2\)

Generally  the force acting is mathematically represented

        \(F = m * a\)

=>      \(F = 5 * 21.7\)  

=>      \(F = 108.5 \ N\)  

             

   

which of the following is not a comparison operator ____

Answers

The comparison operators are used to compare two values or operands in programming.

The comparison operators compare two operands and return a Boolean value, True or False, based on whether the comparison is True or False. There are several comparison operators in programming, including: `<`, `<=`, `>`, `>=`, `==`, and `!=`.Now, we need to determine which of the given options is not a comparison operator. The options are listed below:a) ==b) <The answer to the given question is option b) <<. The operator "<<" is known as a bitwise left shift operator, but it is not a comparison operator in programming. It is used to shift the bits of a number to the left and add zeroes to the right end. The other options are all comparison operators, which are used to compare two values and return True or False based on the comparison.

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Which of the following is the most likely consrquence of gang involvement

Answers

Answer:

????

Explanation:

was their supposed to be a picture?

An old hand cranked electric generator has a peak voltage of 100 V. Suppose you turned the crank twice as fast, what would be the peak voltage?

Answers

When speed will be doubled than angular frequency will become double As a result, voltage will also double. Peak Voltage = 200 Volt

What is voltage?

The "pressure" that propels electricity is referred to as voltage. A voltage is measured in volts (V), and greater voltages result in more electricity flowing to a gadget.

Why is voltage important?

For the power system to operate correctly and securely, voltage must be maintained within a predetermined range. Equipment can be "fried" or damaged if the voltage gets too high, and it can perform badly or stall if the voltage is too low.

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a container that is a pressure tank, has a convex head, possesses a capacity of approximately 2,000 pounds (907 kg), and commonly contains chlorine is an example of a(n):

Answers

The pressure tank is an essential component of many industrial processes, allowing for the safe and reliable storage of fluids and gases under high pressure.

A pressure tank is a container designed to store fluids and gases under high pressure. This type of container has a convex head, which means that the head of the container curves outward, allowing for more storage capacity. The container can store around 2,000 pounds (907 kg) of fluid or gas under high pressure, and is commonly used to store chlorine, which is a corrosive gas that can cause damage to other materials. The pressure tank is an example of a storage container that is designed to hold substances under high pressure.

These types of containers are typically used in industrial applications, such as chemical manufacturing, oil and gas production, and other high-pressure applications. The pressure tank is a reliable and durable container that is designed to withstand extreme conditions and protect the stored materials from contamination or damage. Pressure tanks are commonly used in the chemical industry to store and transport hazardous chemicals. They are also used in the oil and gas industry to store and transport natural gas and other gases. These containers are carefully designed to meet strict safety standards and regulations, ensuring that they are safe for use in various industrial applications.

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whose geocentric model of the solar system was accepted for 1400 years

Answers

Answer:

Plato, Aristotle developed it further and used for 1400 years till Copernicus.

Explanation:

Suppose that a voltage surge produces 140 V for a moment. By what percentage does the power output of a 120-V, 100-W lightbulb increase

Answers

When a voltage surge produces 140 V for a moment, the power output of a 120-V, 100-W lightbulb increases by approximately 40%.

The power output of an electrical device, such as a lightbulb, is determined by the equation P = V^2 / R, where P represents power, V represents voltage, and R represents resistance.

In this case, we are given that the lightbulb operates at a voltage of 120 V and has a power output of 100 W.

To calculate the new power output during the voltage surge, we can use the formula P' = (V + ΔV)^2 / R, where P' represents the new power output and ΔV represents the change in voltage. In this case, the voltage increases from 120 V to 140 V, resulting in a change of 20 V.

Using the formula, we can calculate the new power output:

P' = (120 V + 20 V)^2 / R = 140 V^2 / R

Since the resistance of the lightbulb remains constant, we can compare the new power output (P') to the original power output (P) by calculating the percentage increase:

Percentage increase = (P' - P) / P * 100

Substituting the values, we get:

Percentage increase = (140 V^2 / R - 120 V^2 / R) / (120 V^2 / R) * 100

Simplifying the equation, we find:

Percentage increase = (140^2 - 120^2) / 120^2 * 100 ≈ 40%

Therefore, the power output of the 120-V, 100-W lightbulb increases by approximately 40% during the voltage surge.

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help, anyone?? please:/

help, anyone?? please:/

Answers

A,E,C,B,D is the order

A truck driver sees a dog running into the road. He immediately brakes. Describe the energy transfers in the truck as it comes to a stop.

Answers

Answer: find the answer in the explanation as kinetic energy converts to potential energy.

Explanation:

Before the truck driver sees a dog running into the road, The mechanical energy state of the truck will be kinetic energy at maximum.

Immediately he applied the brakes, the mechanical energy of the truck will be combination of kinetic energy and potential energy.

The kinetic energy will gradually decrease as potential energy continue to increase till it reaches maximum potential energy.

The truck will come to a stop at maximum potential energy

A student performed an investigation into the refraction of light in a transparent material.

The results are shown below:

The angle of refraction of the refracted ray through the material shown is 32o .

Use this information to calculate the critical angle of the transparent material

A student performed an investigation into the refraction of light in a transparent material.The results

Answers

The critical angle of the transparent material is 35.3 degrees.

What is the critical angle?

The critical angle is the angle of incidence at which the angle of refraction is 90 degrees. In this case, the angle of refraction is 32 degrees. Therefore, the critical angle is calculated as follows:

sin(critical angle) = sin(90 degrees) / sin(angle of refraction)

sin(critical angle) = 1 / sin(32 degrees)

sin(critical angle) = 0.574

critical angle = arcsin(0.574)

critical angle = 35.3 degrees

Therefore, the critical angle of the transparent material is 35.3 degrees.

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a 12v battery is connected to four resisteors. calculate the current in the to 8.0ohm resistor

Answers

Given that a 12 V battery is connected to four resistors. We need to calculate the current in the 8.0 Ω resistor.

To find the current flowing through the resistor we need to use Ohm's law.

Ohm's law states that the current through a conductor between two points is directly proportional to the voltage across the two points.

The formula is given as,I = V/R where,I is the current V is the voltage R is the resistance

Therefore, the current through the 8.0 Ω resistor is given by: I = V/R = 12 V / 8.0 ΩI = 1.5 A

So, The current in the 8.0 Ω resistor is 1.5 A.

Resistor : An electrical component that regulates or restricts the flow of electrical current in an electronic circuit is known as a resistor. Additionally, resistors can be utilized to supply a particular voltage to an active device like a transistor.

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a student pushed a 100 N bicycle over a distance of 15 m in 5 s. calculate the power generated.

Answers

The catch in this one is:  We don't know how much force the student used to push the bike.  

It wasn't necessarily the 100N.  That's just the weight of the bike. But you know that you can push a car, a wagon, or a bicycle hard, you can push it not so hard, you can give it a little push, you can give it a big push, you can push it strong, you can push it weak, you can push it medium.  The harder you push, the more it'll accelerate, but it's completely up to you how hard you want to push.  That's what's so great about wheels !  That's why they were such a great invention ! This is where I made my biggest mistake. This guy came into my store one day and said he's got this great invention, it's definitely going to take off, it'll be a winner for sure, he called it a "wheel".  I looked at it, I turned it over and I looked on all sides. I thought it was too simple.  I didn't know then it was elegant. I threw him out.  I was so dumb.  I could have invested money in that guy, today I would have probably more than a hundred dollars.

Anyway, can we figure out how much force the student used to push with ?  Stay tuned:

-- The bike covered 15 meters in 5 seconds.  Its average speed during the whole push was (15m/5s) = 3 meters/sec.

-- If the bike started out with no speed, and its average speed was 3 m/s, then it must have been moving at 6 m/s at the end of the push.

-- If its speed increased from zero to 6 m/s in 5 seconds, then its acceleration was (6m/s / 5 sec) = 1.2 m/s²

-- The bike's weight is 100N.  

(mass) x (gravity) = 100N

Bikemass = (100N) / (9.8 m/s²)

Bikemass = 10.2 kilograms

-- F = m A

Force = (mass) x (acceleration)

Force = (10.2 kg) x (1.2 m/s²)

Force = 12.24 N

-- Work = (force) x (distance)

Work = (12.24 N) x (15 m)

Work = 183.67 Joules

-- Power = (work done) / (time to do the work)

Power = (183.67 joules) / (5 seconds)

Power = 36.73 watts

4 In which one of the following cases will the distance covered and
the magnitude of the displacement are not the same? Justify.
(1) A passenger in a train travels from Delhi to Kolkata.
(ii) A raindrop falling in still air.
(iii) An athlete completes one lap in a race.

Answers

Answer:

the answer of this question is iii .

if the answer is wrong so sorry

It will be (ii)

In first one the path will have turns so the distance might not be same as displacement
In second one displacement is 0 as it is a lap which is like a circle
In third one the drop of water will use the shortest path so distance will be equal to displacement

1. Convert 450J into Btu, eV, erg, cal and ft-lbs.4507Tin ochI need help

1. Convert 450J into Btu, eV, erg, cal and ft-lbs.4507Tin ochI need help

Answers

ANSWER:

0.427 BTU

2.8*10^21 eV

4.5*10^10 erg

107.55 cal

331.9 ft-lbs

STEP-BY-STEP EXPLANATION:

We have 450 J, to convert it to other units you must know the conversion factor in each case, like this:

J into BTU

\(450J\cdot\frac{1\text{ BTU}}{1055.6J}=0.427\text{ BTU}\)

J into eV

\(450J\cdot\frac{1\text{ eV}}{1.6022\cdot10^{-19}J}=2.8\cdot10^{21\text{ }}eV\)

J into erg

\(450J\cdot\frac{1\text{ erg}}{1\cdot10^{-7}J}=4.5\cdot10^{10}\text{erg}\)

J into cal

\(450J\cdot\frac{1\text{ cal}}{4.184J}=107.55\text{ cal}\)

J into ft-lbs

\(450J\cdot\frac{1\text{ ft-lbs}}{1.356J}=331.9\text{ ft-lbs}\)

A gray kangaroo can bound across a flat stretch of ground with each jump carrying it 8.0 m from the takeoff point.

If the kangaroo leaves the ground at a 22˚ angle, what is its takeoff speed?
What is its horizontal speed?

Answers

The kangaroo's horizontal speed will be 9.7 m/s and its departure speed will indeed be 10.65 m/s.

What is the sound's velocity?

By observing the pace at which this compressed region moves through the medium, we may determine the sound speed. The sound wave travels at a speed of around 343 meters per second in low humidity at 20 degrees Celsius.

Briefing:

The following equation relates the distance to the direction and initial velocity:

d = [v₀²sin2θ]/g, where θ – the angle of the jump.

Thus, v₀² = gd / (sin2θ) = (9.8×8)/0.69 = 113.62

v₀ = 10.65 m/s ( the take off speed).

The horizontal velocity equals:

vₓ = v₀cos 22° = 10.65 m/s × 0.92 = 9.7 m/s

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A 1,500kg boulder falls off a 120m tall cliff on a planet that has a surface gravitational field of magnitude 3. 6 N/kg. Assume that the planet has no atmosphere. How long does it take for the boulder to strike the ground?
Write your answer using two significant figures

Answers

Answer:

8.16 seconds, enjoy physics

A 1,500kg boulder falls off a 120m tall cliff on a planet that has a surface gravitational field of magnitude

A 1,500kg boulder falls off a 120m tall cliff on a planet that has a surface gravitational field of magnitude 3. 6 N/kg. Assume that the planet has no atmosphere, it would take 8.16 seconds for the boulder to strike the ground

What are the three equations of motion?

There are three equations of motion given by  Newton

The first equation is given as follows

v = u + at

the second equation is given as follows

S = ut + 1/2×a×t²

the third equation is given as follows

v² - u² = 2×a×s

Note that these equations are only valid for a uniform acceleration.

where u and v are the initial and final velocity respectively

S is the total distance covered by the object

a is the acceleration of the object

As given in the problem a 1,500kg boulder falls off a 120m tall cliff on a planet that has a surface gravitational field of magnitude 3. 6 N/kg. Assume that the planet has no atmosphere

S = 120m, the initial velocity of the boulder is zero

u = 0

g = 3.6 m/s²

S = ut + 1/2at²

u= 0m/s , a= 3.6 m/s² and t = ? seconds

120  = 0×t + 0.5×3.6×t²

t² = 120 /(3.6×0.5)

t² = 66.667

t = 8.16 seconds

Thus, it would take 8.16 seconds for the boulder to strike the ground

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What does temperature measure?(1 point) Responses potential energy stored in the chemical bonds of an object or substance potential energy stored in the chemical bonds of an object or substance kinetic energy of objects or substances kinetic energy of objects or substances relative heat of an object or substance compared to its environment relative heat of an object or substance compared to its environment average kinetic energy of the particles in an object or substance average kinetic energy of the particles in an object or substance

Answers

Temperature measures the average kinetic energy of the particles in an object or substance that is in Option D, as it is a measure of the average kinetic energy of the particles in a substance or object.

What is the temperature?

When particles in a substance move, they possess kinetic energy; the faster they move, the more kinetic energy they possess, and the higher the temperature of the substance as it measures the relative heat of an object compared to its environment.

As a result, temperature measures the average kinetic energy of the particles in an Option D object or substance.

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The question is incomplete, complete question is below

What does temperature measure?(1 point)

Responses

a)potential energy stored in the chemical bonds of an object or substance

b)kinetic energy of objects or substances

c)relative heat of an object or substance compared to its environment

d) average kinetic energy of the particles in an object or substance

A bowling ball of mass 5.8 kg moves in a
straight line at 1.82 m/s.
How fast must a Ping-Pong ball of mass
3.276 g move in a straight line so that the two
balls have the same momentum?
Answer in units of m/s.

Answers

Answer:

v = 3231.09887 m/s

Explanation:

The attached image includes the steps to get to the answer provided.

A bowling ball of mass 5.8 kg moves in astraight line at 1.82 m/s.How fast must a Ping-Pong ball of mass3.276

Which of the following is the correct unit to measure the current in a radio?

Watts

Volts

Amps

Tons

Answers

Answer:

watts

Explanation:

Answer:

its a.) watts

Explanation:

14. A television has a cash price of $1299. It can be purchased on a Hire Purchase plan by
making a deposit of $500 plus 10 monthly payments of $95. What is the total monthly
installment.
a) S1450
b) S450
c) S1299
d) S950​

Answers

It's a)S1450
PLATO4LIFE I Took the test.

What is required for a rocket to lift off into space

What is required for a rocket to lift off into space

Answers

A thrust that is greater than the earth's gravity is required for a rocket to lift off into space.

According to Newton's third law of motion, for every action, there is an equal and opposite reaction. This law is the basic principle behind the working of a rocket propulsion.

An exhaust stream will come out from the bottom of a rocket while it is being propelled. Exhaust is the result of burning the rocket's propellants, and it includes flames, hot gases, and smoke.

The rocket engine's exhaust is forced downward as a thrust which is exerted on the earth, which acts as the action force. As a result, the rocket starts to move in the other direction and lifts off the ground, this is the reaction force.

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why does mass decrease when acceleration increases?

Answers

Answer:

Since the mass does not change as the acceleration increases, we can say that force is equal to acceleration. Therefore, if you double the force you double the acceleration. If you increase the mass at a given force the rate of acceleration slows. Therefore, mass is inversely proportional to acceleration.

Energy is produced in the Sun’s...
A. corona
B. photosphere
C. chromosphere
D. core

Answers

The real correct answer is A

Water travels, in a 2km long pipeline at a maximum flow rate of 0.12 m/s. The internal diameter of the pipe is 300 mm, pipe wall thickness is 5 mm, and is manufactured from steel with a Young's modulus of 210x109 Pa. The pipeline is constructed within an excavated trench and surrounded by backfill material. A control valve on the downstream end of the pipeline uniformly closes in 12 seconds. (a) Calculate the pressure transients at the mid-point of the pipeline (b) How does friction in pipeline effect the calculated (in Q6 (a)) pressure transients

Answers

(A) The pressure transients at the mid-point of the pipeline are approximately 1,208,277 Pa.
(B) Friction in the pipeline affects the calculated pressure transients by increasing the overall resistance to flow

(a) The pressure transients at the mid-point of the pipeline can be calculated using the water hammer equation. Water hammer refers to the sudden changes in pressure and flow rate that occur when there are rapid variations in fluid flow. The equation is given by:

ΔP = (ρ × ΔV × c) / A

Where:

ΔP = Pressure change

ρ = Density of water

ΔV = Change in velocity

c = Wave speed

A = Cross-sectional area of the pipe

First, let's calculate the change in velocity:

ΔV = Q / A

Q = Flow rate = 0.12 m/s

A = π × ((d/2)^2 - ((d-2t)/2)^2)

d = Internal diameter of the pipe = 300 mm = 0.3 m

t = Pipe wall thickness = 5 mm = 0.005 m

Substituting the values:

A = π × ((0.3/2)^2 - ((0.3-2(0.005))/2)^2

A = π × (0.15^2 - 0.1495^2) = 0.0707 m^2

ΔV = 0.12 / 0.0707 = 1.696 m/s

Next, let's calculate the wave speed:

c = √(E / ρ)

E = Young's modulus of steel = 210x10^9 Pa

ρ = Density of water = 1000 kg/m^3

c = √(210x10^9 / 1000) = 4585.9 m/s

Finally, substituting the values into the water hammer equation:

ΔP = (1000 × 1.696 × 4585.9) / 0.0707 = 1,208,277 Pa

Therefore, the pressure transients at the mid-point of the pipeline are approximately 1,208,277 Pa.

(b) Friction in the pipeline affects the calculated pressure transients by increasing the overall resistance to flow. As water moves through the pipe, it encounters frictional forces between the water and the pipe wall. This friction causes a pressure drop along the length of the pipeline.

The presence of friction results in a higher effective wave speed, which affects the calculation of pressure transients. The actual wave speed in the presence of friction can be higher than the wave speed calculated using the Young's modulus of steel alone. This higher effective wave speed leads to a reduced pressure rise during the transient event.


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