a horizontal pipe with a diameter of 3 cm narrows down to a diameter of 2 cm, where it expels water into the surrounding air at a speed of 32 m/s. what is the gauge pressure in the larger diameter section of the pipe?

Answers

Answer 1

A horizontal pipe with a 3 cm diameter that narrows to a 2 cm diameter at a speed of 32 m/s releases water into the air around it. The pipe's larger diameter section's gauge pressure is 512,000 Pa.

To determine the gauge pressure in the larger diameter section of the pipe, we can apply Bernoulli's principle, which states that the total pressure at any point in a fluid system is the sum of the static pressure and the dynamic pressure.

Given:

Diameter of the larger section (D1) = 3 cm = 0.03 m

Diameter of the smaller section (D2) = 2 cm = 0.02 m

Velocity of water (v) = 32 m/s

We'll assume the flow is steady and the fluid is incompressible. The density of water (ρ) is approximately 1000 kg/m³.

Using Bernoulli's principle, we have:

[tex]P_1 + \frac{1}{2}\rho v_1^2 = P_2 + \frac{1}{2}\rho v_2^2[/tex]

Since the larger section of the pipe has a larger diameter, we can assume it has a lower velocity compared to the smaller section.

[tex]P_1 + \frac{1}{2}\rho v_1^2 > P_2 + \frac{1}{2}\rho v_2^2[/tex]

The gauge pressure (P1) in the larger diameter section can be calculated as follows:

[tex]P_1 = P_2 + \frac{1}{2}\rho(v_2^2 - v_1^2)[/tex]

[tex]P_1 = P_2 + \frac{1}{2}\rho(v_2 + v_1)(v_2 - v_1)[/tex]

Since the pipe is open to the surrounding air, we can assume atmospheric pressure (P2) is present in the smaller diameter section.

P2 = 0 (gauge pressure at atmospheric pressure)

Therefore, the gauge pressure in the larger diameter section (P1) is:

[tex]P_1 = \frac{1}{2}\rho(v_2 + v_1)(v_2 - v_1)[/tex]

Plugging in the values, we get:

[tex]P1 = \frac{1}{2} \times 1000 , \text{kg/m}^3 \times (32 , \text{m/s} + 0 , \text{m/s}) \times (32 , \text{m/s} - 0 , \text{m/s})[/tex]

Calculating the expression, we find:

P1 = 512,000 Pa

Therefore, the gauge pressure in the larger diameter section of the pipe is 512,000 Pa.

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Related Questions

Will clothes dry faster when they are folded or when they are not folded on the line?

Answers

Answer:

Not folded

Explanation:

not folded on the line

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2, A rectangulv Container of base socmby 30cm is filled
with water to be depth of 5cm. how much is the pressure exerted
at the base? (take pw= 1000kg /m3 and g=10m/s)​

Answers

Correct question is;

2, A rectangular Container of base 50 cm by 30cm is filled with water to be depth of 5cm. how much is the pressure exerted at the base? (take pw= 1000kg /m3 and g=10m/s)​

Answer:

P = 500 N/m²

Explanation:

Pressure exerted at the base is the hydrostatic pressure and it is given by the formula;

P = ρgh

Where;

ρ is density = 1000 kg/m³

g = 10 m/s²

h is depth = 5 cm = 0.05 m

Thus;

P = 1000 × 10 × 0.05

P = 500 N/m²

Where do electrons spend most of their time?

Answers

Answer:

around the nuclei of each atom

Explanation:

Answer:

Before bonding, the atom's electrons spend most of their time around the nuclei of each atom.

Explanation:

Once bonded, the electrons spend most of their time between the two nuclei.

Calculate the momentum of a 1kg box moving at a velocity of 50 m/s.

Answers

the momentum = m * v

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v : velocity

momentum = 1 * 50 = 50 kg.m/s

Hello anyone I need the answer to this, thank you!

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Answer:

yes

yes yes yes yes

yes yes yes

20 POINTS! PLZ HELP ME. :-)

Answers

Answer:

A

Explanation:

Because both the elements are non-metals

Where did Ford first see parts made from vanadium steel?​ What properties of this steel impressed Ford? Did Ford need to overcome any problems before going ahead with his plan?

Answers

Explanation:

Historical sources believe that Henry Ford first saw parts made from vanadium steel in Europe which were been used on racing cars and luxurious vehicles.

Ford was impressed due to the fact that Vanadium steel unlike normal steel was cheaper and at the same time stronger and lighter if it was used on automobiles.

if the 50 kg object slows down to a velocity of 1 m/s how much kinetic energy does it have 100j 50j 25j or none

Answers

[tex]ek = \frac{1}{2}m {v}^{2} [/tex]

[tex]ek = \frac{1}{2}(50) {(1)}^{2} [/tex]

[tex]ek = \frac{1}{2}(50)[/tex]

[tex]ek = 25j[/tex]

//

I'm not really sure but I do know that it's not 0 because the object is still moving, even if it's only moving at 1 m/s.

2x+1-2x=8. solve this problem math

Answers

Answer:

x=7

Explanation:

2x+1-2x=8

or,2x-2x=8-1

x=7


Explain why it is better to jump and land with bent knees rather than straight legs? Use key physics vocabulary.

Answers

Answer:

Bent knees

Explanation:

Depending the height your jumping from, if you were jumping from a high structure it's best if you jump and land on knees so you dont sprang your ankles from jumping and landing on your straight legs, you could even pull a muscle if you land on straight legs.

i need help it is psychology

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Answer:

C. Forebrain

Explanation:

The Basil Ganglia, sits on the base of the forebrain.

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Answers

Answer:

The volume of water in the graduated cylinder will be equal to the calculated volume of the sphere.

Explanation:

The volume of solid objects can be measured by completely immersing these solids in an overflow faucet filled to brim with a liquid in which the solid does not dissolve. This is known as the displacement method. When water is used, it is known as water displacement method.

In the Volume Lab Sheet, a sphere whose volume has been pre-calculated is immersed in the overflow faucet containing water. The displaced water is collected in a beaker and the volume is obtained using a 50 mL measuring cylinder.

The volume of a  sphere is calculated using the following formula:

Vsphere =  4πr³/ 3

The symbol π represents the number pi, which is about 3.14. The letter r stands for the  radius of the sphere, which is the distance from the center of a sphere to its surface. The  radius is exactly half of the diameter, which is the distance across the sphere through its center.

The volume of the water in the measuring cylinder is found to be equal to the calculated volume of the sphere. This is because an object immersed completely in a liquid displaces a volume of liquid equal to its own volume.

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Answer:

lil's sister

hope this helps pls mark brainliest

An orbiting satellite experiences no force due to the Earth's
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Answers

Answer:

false

Explanation:

The statement "An orbiting satellite experiences no force due to the Earth's gravity." is a False statement. This is further explained below.

What is Gravity?

Generally, Gravity is simply defined as the force that pulls items toward the center of a planet or other entity.

In conclusion, an orbiting satellite experiences force due to the Earth's gravity.

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how does a longshore current affect a beach?

Answers

Longshore currents are affected by the velocity and angle of a wave. When a wave breaks at a more acute (steep) angle on a beach, encounters a steeper beach slope, or is very high, longshore currents increase in velocity. ... This process, known as “longshore drift,” can cause significant beach erosion.

Answer:

"Longshore currents are affected by the velocity and angle of a wave. When a wave breaks at a more acute (steep) angle on a beach, encounters a steeper beach slope, or is very high, longshore currents increase in velocity. ... This process, known as “longshore drift,” can cause significant beach erosion."

Credits to ocean service

Explanation:

Hope this helps

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Answers

Answer:

Minerals to Gemstones

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Beryl Aquamarine, Beryl, Bixbite, Emerald, Goshenite, Heliodore, Morganite

Brazilianite Brazilianite

Chalcedony Agate, Aventurine, Bloodstone, Carnelian, Chrysoprase, Heliotrope, Jasper, Onyx, Sard

Chrysoberyl Alexandrite, Chrysoberyl

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What the other person said !!

1. A stone is thrown upwards with an initial velocity of 25 m/s at angle of 30° to the ground a. Show that the vertical component if the velocity at the starting is 12.5 m/s upwards.

Answers

The vertical component of the velocity at the starting is 12.5 m/s upwards.

What is velocity?

Velocity is the direction at which an object is moving and serves as a measure of the rate at which its position is changing as seen from a specific point of view and as measured by a specific unit of time.

In kinematics, the area of classical mechanics that deals with the motion of bodies, velocity is a fundamental idea.

Given that  stone is thrown upwards with an initial velocity of 25 m/s at angle of 30°.

Hence,  the vertical component of the velocity in upward direction = 25 sin30° m/s

= 25 × 1/2 m/s

= 12.5 m/s.

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Which of the following waves has the longest wavelength? Group of answer choices a.ultraviolet b.gamma c.visible light d.microwaves

Answers

Answer: visible light

Explanation:

tartaric acid is present in spinach true or false ​

Answers

Answer:

false

Explanation:

because Oxalic acid is present in spinach

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An object can have forces acting upon it, but might not accelerate

True
or
False?

Answers

Answer:

true

Explanation:

if you apply force to the top of a square it will not move

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Ok it’s this.... wait your the he that got with my bf !!!

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Answer:

(d) they are transmitted using digital signals

Explanation:

i just did the quiz an got it right

Answer:they are transmitted using digital signals

Explanation:

Urea gets from body cells to the blood plasma by diffusion through the tissue fluid. Explain what this means?

Answers

Answer:

Glucose diffuse from the blood plasma, across the capillary walls to the tissue fluid, and then to the cell.

Glucose diffuse from the blood plasma, across the capillary walls to the tissue fluid, and then to the cell. The waste product urea diffuse from the cells of the liver to the tissue fluid, and then across the capillary walls into the blood plasma.

uses of electromagnetic wave​

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Radio waves - used for communication e.g. radios and TVs

Microwaves - used for cooking food and for satellite communications

Infrared light - used by electrical heaters and infrared cameras

Ultraviolet radiation - kills bacteria - sterilises water and makes it safe to drink and produces vitamin D - good for skin

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Find the angle of incidence.

Answers

Answer:

when a ray of light is incident normally on a plane mirror the angle between incident and reflected ray is 0 degree or 180 degree

Explanation:

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Answers

We can’t see steps two or three so there isn’t a way to give you the answer that you need

The number of paper clips in step 2 is the same as the number of paper clips in step 3 is a true statement, as the mass is the same for both.

What is mass?

It is possible to define every mechanical quantity in terms of mass, length, and time. The SI unit for mass, denoted by the letter m, is the kilogram. While mass is typically thought of as an immutable feature of an item, relativistic mass must be taken into account when traveling at speeds close to the speed of light.

Given:

The mas of the paper clips are the same,

Assume the number of clips in step two is x and the mass is m, the mass in the third step is the same as in step 2,

Thus, the number of clips = Total mass of paper clip / mass of one clip,

The number of clips = m / x

As we can see, if the mass is equal, then the number of clips will also be equal.

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Which of the scientist responsible for cell theory would be the most likely to write a book titled Cells Come from Cells

Answers

Answer:

Rudolf Virchow

Explanation:

popularized the cell theory in an 1855 essay entitled “Cellular Pathology.” (b) The idea that all cells originate from other cells was first published in 1852 by his contemporary and former colleague Robert Remak (1815–1865).

Explanation:

Rudolf Virchow

-Rudolf Virchow would be the most likely to write a book titled 'Cells Come From Cells' because in cell theory he added a point that 'All cells arises from pre-existing cells. ' which means that all cells come from another cells which is as similar as the title of the book

pls help i’ll give brainliest if you give a correct answer!!

Answers

Answer:

South ....................

Answer:

South ;)

Explanation:

I just did it .

There is a scale with a basket on it. A brick, brick #1 is placed on the scale. The brick has a mass of 10 kg. What are the two forces acting on the brick?

Answers

Answer:

Weight and reaction.

Explanation:

With respect to Newton's third law of motion, action and reaction have equal magnitude but acts in opposite direction.

Thus, the brick of mass 10 kg has its weight (due to gravitational pull of the earth), which acts downwards through its center of mass. This makes the scale to produce an opposing force of equal magnitude, which acts upwards. These two forces acting in opposite directions balancing each other.

The two forces acting on the brick are: its weight and the reaction from the scale.

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