Answer:
(a) The gauge pressure is 4,885.3 Pa
(b) The anchoring force needed to hold the elbow in place is approximately 296.5 N
The direction of the anchoring force is approximately ≈ 134.8
Explanation:
The given parameters in the fluid dynamics question are;
Pipe elbow angle, θ = 90°
The mass flowrate of the water, [tex]\dot m[/tex] = 40 kg/s
The diameter of the elbow, D = 10 cm
The pressure at the point of discharge of the fluid = Atmospheric pressure
The elevation between the inlet and exit of the elbow, z = 50 cm
The weight of the elbow and the water = Negligible
(a) The velocity of the fluid, v₁ = v₂ = v is given as follows;
ρ·v·A = [tex]\dot m[/tex]
v = [tex]\dot m[/tex]/(ρ·A)
Where;
ρ = The density of the fluid (water) = 997 kg/m³
A = The cross-sectional area of the of the elbow = π·D²/4 = π×0.1²/4 ≈ 0.00785398163
A = 0.00785398163 m²
v = 40 kg/s/(0.00785398163 m² × 997 kg/m³) ≈ 5.1083 m/s
Bernoulli's equation for the flow of fluid is presented as follows;
[tex]\dfrac{P_1}{\rho \cdot g} +\dfrac{v_1}{2 \cdot g} + z_1 = \dfrac{P_2}{\rho \cdot g} +\dfrac{v_2}{2 \cdot g} + z_2[/tex]
v₁ = v₂ for the elbow of uniform cross section
P₁ - P₂ = ρ·g·(z₂ - z₁)
P₁ - P₂ = The gauge pressure = [tex]P_{gauge}[/tex]
z₂ - z₁ = z = 50 cm = 0.5 m
∴ [tex]P_{gauge}[/tex] = 997 kg/m³ × 9.8 m/s² × 0.5 m = 4,885.3 Pa
The gauge pressure, [tex]P_{gauge}[/tex] = 4,885.3 Pa
(b) The forces acting on the elbow are;
[tex]F_{Rx}[/tex] + [tex]P_{gauge}[/tex]·A = -β·[tex]\dot m[/tex]·v
[tex]F_{Ry}[/tex] = β·[tex]\dot m[/tex]·v
∴ [tex]F_{Rx}[/tex] = -β·[tex]\dot m[/tex]·v - [tex]P_{gauge}[/tex]·A
[tex]F_{Rx}[/tex] = -1.03 × 40 kg/s × 5.1083 m/s - 4,885.3 Pa × 0.00785398163 m² ≈ -208.83 N
[tex]F_{Ry}[/tex] = 1.03 × 40 kg/s × 5.1083 m/s = 210.46196 N
The resultant force, [tex]F_R[/tex], is given as follows;
[tex]F_R[/tex] = √([tex]F_{Rx}[/tex]² + [tex]F_{Rz}[/tex]²)
∴ [tex]F_R[/tex] = √((-208.83)² + (210.46196)²) ≈ 296.486433934
Therefore;
The anchoring force needed to hold the elbow in place, [tex]F_R[/tex] ≈ 296.5 N
The direction of the anchoring force, θ
[tex]\theta = tan^{-1}\left( \dfrac{F_{Ry}}{F_{Rx}} \right)[/tex]
∴ θ = arctan(210.46196/(-208.83)) = -45..2230044°
θ = 180° + -45.2230044° = 134.7769956°
∴ The direction of the anchoring force is approximately, θ ≈ 134.8°
If a force is applied to an object, which of the following must be true?
Answer:
D. The force applied will contribute to the total net force.
good luck, i hope this helps :)
Explain how energy is produced in the Sun
Answer:
The sun generates energy from a process called nuclear fusion. During nuclear fusion, the high pressure and temperature in the sun's core cause nuclei to separate from their electrons. Hydrogen nuclei fuse to form one helium atom. ... The sun provides more energy in an hour than the United States can use in a year!
Explanation:
Answer:
Explanation:
Like most stars, the sun is made up mostly of hydrogen and helium atoms in a plasma state. The sun generates energy from a process called nuclear fusion. During nuclear fusion, the high pressure and temperature in the sun's core cause nuclei to separate from their electrons. ... Yet this amount of energy is enormous.
10-kg box is sliding across an ice rink at 10 m/s . A skater exerts a constant force of 10 N against it. How long will it take for the box to come to a complete stop?
Answer:
Time, t = 10 seconds
Explanation:
Given the following data;
Mass = 10kg
Force = 10N
Final velocity = 10m/s
Initial velocity = 0m/s
To find the time;
First of all, we would find the acceleration of the box.
Force = mass * acceleration
10 = 10 * acceleration
Acceleration = 10/10 = 1m/s²
Now, we can find the time by using the first equation of motion;
V = U + at
10 = 0 + 1t
10 = t
Time, t = 10 seconds
Therefore, it will take 10 seconds for the box to come to a complete stop.
PLEASE HELP 40 POINTS
A car of mass 700 kg and moving at a speed of 30 m/s collides with a stationary truck of mass 1400 kg, and the two vehicles lock together on impact. The combined velocity of the car and truck after the collision is m/s.
Question 4 of 10
Samples of different materials, A and B, have the same mass, but the sample
of B is higher in density. Which statement could explain why this is so?
A. The sample of material B has greater volume than the sample of
material A.
B. The particles that make up material A are more closely packed
together than the particles that make up material B.
C. The particles that make up material B are more closely packed
together than the particles that make up material A.
D. The particles that make up material A have more mass than the
particles that make up material B.
SUBMIT
If an element has 20 protons and 20 neutrons in the nucleus of its atoms , what is the mass number of the atom?
Answer:
A=z+n
A=20+20
A=40
Explanation:
Not sure if I'm correct but I was taught that mass number is calculated by A=z+n where A is the mass number, z is the proton number and n is the number of neutrons.
Is this right HELP PLSSSS IF WHAT IS IT ! ! !
What chemical change occurs to animals and plants once they are no longer living?
Burning
Cooking
Decaying
Folding
Answer:
Decaying
Explanation:
Dead plants and animals go through decaying process as their body is broken down into many pieces which later becomes the part of soil. Decaying process is done by decomposers like bacteria, fungi, etc.
Which statement describes this image
Answer:
3rd one i think.
Explanation:
Explain
(0) what is meant by regeneration,
(ii) why an analogue signal cannot be regenerated
Explanation:
1.) Regeneration is the natural process of replacing or restoring damaged or missing cells, tissues, organs, and even entire body parts to full function in plants and animals.2.) When noise is added to analogue signals, it usually sounds like background hiss. Such noise can not be removed so the original clean signal can not be re-created or re-generated.
number of atoms of each element potassium chlorate?
Use the information to answer the following question.
Hot air balloons use a flame that can turn on and off to heat air inside a large balloon. The balloon is attached to a basket which can carry people or cargo as it is lifted off the ground and floats in the air.
Using what you know about gases, predict which approach would allow the hot air balloon to reach the highest height?
A.
Turn on the flame for 10 seconds each minute for 10 minutes to increase the density of the air inside the balloon.
B.
Turn on the flame for 10 seconds each minute for 2 minutes, and cut a large hole in the balloon material to allow excess air out.
C.
Turn on the flame for 30 seconds each minute for 2 minutes, and cut a large hole in the balloon material to allow excess air out.
D.
Turn on the flame for 30 seconds each minute for 10 minutes to decrease the density of the air inside the balloon.
Answer:
The answer is B. :)
Explanation:
The hot air balloon reaches the highest height turn on the flame for 10 seconds each minute for 2 minutes and cut a large hole in the balloon material to allow excess air out.
What is a hot air balloon?Because hot air rises, hot air balloons work. By using the burner to heat the air inside the balloon, it becomes lighter than the cooler air on the outside.
As a result, the balloon floats upwards, as if it were in the water. Obviously, allowing the air to cool causes the balloon to slowly deflate.
Hot air balloons use a flame that can turn on and off to heat air inside a large balloon. The balloon is attached to a basket that can carry people or cargo as it is lifted off the ground and floats in the air.
Turn on the flame for 10 seconds each minute for 2 minutes, and cut a large hole in the balloon material to allow excess air out.
Hence the hot air balloon reaches the highest height turn on the flame for 10 seconds each minute for 2 minutes and cut a large hole in the balloon material to allow excess air out.
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I need help again!!!!!! Due today!!!! NO LINK PLEASE
Answer:
The Acceleration of the object = 6.4 m/s²
Explanation:
Mass of block (m) = 5 kg
Action force on block, (F₁) = 40 N
To Find:
Acceleration of the object (a) = ?
Required solution:
Frictional force opposing the motion (F₂) = 8 N
Here in this question we have to find Acceleration of the object. So, firstly we have to find Net force of block after that we will find Acceleration of the object on the basis of conditions given above
⇒ Net force = Action force on block - Opposing friction force
⇒ F = F₁ - F₂
⇒ F = 40 - 8
⇒ F = 32 N
Now, we have to two elements that used in formula, Net force and Mass of block.
Net force of the block (F) = 32 N
Mass of block (m) = 5 kg
And we have to find Acceleration of the object.
We can find Acceleration of the object by using the Second law of Newton which says F = ma
Here,
F is the Force in N.
m is the Mass in kg.
a is the Acceleration in m/s².
So let's find Acceleration (a) !
† From second law of Newton
⇛ F = ma
⇛ a = F/m
⇛ a = 32/5
⇛ a = 6.4 m/s²
A 4kg object has a momentum of 12 kg*m/s, what is the objects velocity?
What’s your pets name if you have one if not what’s a pet that you do want for brainliest :]
Answer:
I do have a pet
Explanation:
his name is shadow and he's a cat
What is the velocity of a bus that travels 250 km in 2 hrs?
Answer:
125
Explanation:
you divide km/hrs to find your velocity.
V=km/hr
V= 250km/2hr
V=125
hope this helps !:)
What is the wavelength of visible light emitted at 4.2 x 10^8 Answer in units of M
Answer:
0.714 m
Explanation:
From the question,
v = λf......................... Equation 1
Where v = velocity of visible light, f = frequency of visible light, λ = wave length of visible light.
make λ the subject of the equation
λ = v/f.................. Equation 2
Given: f = 4.2×10⁸ Hz
Note: Light is an electromagnetic wave, and all electromagnetic waves travels with the same speed (3×10⁸ m/s)
Constant: v = 3×10⁸ m/s
Substitute these values into equation 2
λ = 3×10⁸/4.2×10⁸
λ = 0.714 m
How much impulse is applied by a 25 N force in 30 seconds?
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Impulse.
Impulse is denoted by 'J'
hence, J = F. dt
so we get as,
J = (25)*(30)
J = 750 N-s
===> hence the impulse is 750 N-s
Impulse is applied by a 25 N force in 30 seconds is 750 N-s.
What is force?A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
Concept of the Impulse.
Impulse is denoted by 'J'
hence, J = F. dt
so we get as,
J = (25)*(30)
J = 750 N-s
hence the impulse is 750 N-s
Impulse is applied by a 25 N force in 30 seconds is 750 N-s.
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PLEASE HELP ME THIS IS VERY IMPORTANT!!!!!!!!!!!!! 20 points and I will give brainlyest
The diagram below shows a portion of the rock cycle.
Diagram of the rock cycle including 4 boxes labeled A, B, C, and D. There is an arrow labeled burial cementation extending from underwater sediment to box A. There is an arrow labeled deep burial, heating and pressure extending from underwater sediment to box B. There is an arrow labeled melting connecting box B to box D. There is an arrow labeled slow crystallization connecting box D to box C.
At what location in the diagram is granite most likely formed? (4 points)
Group of answer choices
Location A
Location B
Location C
Location D
Answer: I believe it’s location D. Or whichever is the location of slow crystallization.
Explanation: Slow crystallization of magma forms granite. Hope this helps. :)
Answer:
D
Explanation:
Which argument best explains the charge of an atomic nucleus? *
1 point
An atomic nucleus is positively charged because it is composed of neutrons.
An atomic nucleus is positively charged because it is composed of protons.
An atomic nucleus is negatively charged because it is composed of electrons.
An atomic nucleus is negatively charged because it is composed of neutrons.
Answer:
An atomic nucleus is positively charged because it is composed of protons
Explanation:
Protons carry positive charge and nucleus only contain protons
Which team is defense?
Answer:
What are the teams? Football would be defense...
Explanation:
sorry if this didn't answer your question...
Answer:
The team without possession of the ball (B)
Explanation:
A man pulls a sled at a constant velocity across a horizontal snow surface . If a force of 80 n is being applied to the sled at an 53 degree to the ground . What is the force of friction between sled and snow
Answer:
Explanation:
The force of 80N is applied on sled at 53⁰
Its horizontal component = 80cos53
= 48.14 N .
Its horizontal component will pull forward the sled and friction will prevent its forward motion . As sled is moving with constant velocity , net force on it is zero .
Hence forward push = frictional force
Frictional force = 48.14 N.
Sam goes to a friend's house by bike. His friend's house is 350m away. The journey takes 50s. What is Sam's average speed?
Answer:
Sam's average speed was 7ms-1
Explanation:
speed= distance / time
speed= 350 / 50
speed= 7 metres per second.
Look at the diagram of a solar eclipse.
A solar eclipse with labels 1 through 4. 1: The moon. 2: A location on Earth directly in line with the center of the Sun and Moon. 3: A location above 2. 4: A location below and right of 2.
At which location is the solar eclipse viewed in totality?
1
2
3
4
Answer:
at location 4
Explanation:
it is because the solar eclipse happens when the moon is covering the sun
3. Jeremy has a solution with a mass of 228 g. He knows that the mass of the solvent was 224 g. How much is the mass of the solute in the solution?
17) An object is being pulled in two different directions by two students. One student pulls to the left with 12 N
and the other pulls to the right with 15 N. What is the net force on the object?
a) 27 N right.
b) 3 N right
c) 2 N left.
d) 3 N left.

• A 1200-kg car is driven through town with a speed of
15 m/s.
What is the magnitude of the car's
momentum?
Mercury is a very small planet, with a surface that is exposed directly to space. This is because the planet has practically no
atmosphere. Normally, no atmosphere would mean very cold, but it is very hot on Mercury. Why?
The surface of Mercury looks much like Earth's moon. ... On its dark side, Mercury gets very cold because it has almost no atmosphere to hold in heat and keep the surface warm. The temperature can drop down to minus 300 degrees Fahrenheit. Sunlight never reaches into the bottoms of some craters near Mercury's poles.
Answer: B
Because Mercury is the closest planet to the sun
Explanation:
Hope this helps
answer this plsss
A mobile phone operates at 900 MHz.
What wavelength does it use?
Answer:
The wavelength = 0.3333 meters at 900 MHz, therefore, = /4 = 0.08333 meters.
Two charges of 5 x 10-6 C are a certain distance apart. These two positive charges experience 3.6 N of repelling electrical force between them. How far apart are these charges?
Answer:
r = 0.2499 m
Explanation:
Use Coulomb's Law: [tex]F_{e} = kq_{1}q_{2} / r^{2}[/tex] where Fe is the electric force, q1 and q2 are the 2 charges respectively, k is a constant (8.99*10^9 N • m^2 / C^2) and r is the distance.
[tex]3.6 N = (8.99*10^{9})(5*10^{-6})(5*10^{-6}) / r^{2}[/tex]
r = 0.2499 m
The distance that should be apart from these charges should be considered when the r = 0.2499 m.
Calculation of the distance apart:Since
Two charges of 5 x 10-6 C are a certain distance apart. These two positive charges experience 3.6 N of repelling electrical force between them
So
here we use Columb law
Electric force = k * two charges * two charges)r^2
3.6 N = (8.99*10^9) * ( 5 * 10^-6) * (5*10^-6)r^2
r = 0.2499 m.
Hence, The distance that should be apart from these charges should be considered when the r = 0.2499 m.
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