Consider a convergent duct with an inlet area A1 = 5 m2. Air enters this duct with a velocity V1=10m/s and leaves the duct exit with a velocity V2=30 m/s.

Required:
a. What is the area of the duct exit?
b. If the air pressure and temperature at the inlet area are 1.2 x105 N/m2, and 300K, respectively, what is the pressure at the exit?

Answers

Answer 1

Answer:

(a) The area of the duct exit is 1.67 m²

(b) The air pressure at the exit is 1.195 x 10 N/m²

Explanation:

Given;

inlet area, A₁ = 5 m²

inlet velocity, V₁ = 10 m/s

exit velocity, V₂ = 30 m/s

(a) The area of the duct exit is determined by applying continuity equation;

A₁V₁ = A₂V₂

Where;

A₂ is the area of the duct exit

A₂ = (A₁V₁) / (V₂)

A₂ = (5 x 10) / (30)

A₂ = 1.67 m²

(b) Apply Bernoulli’s equation to determine the pressure at the exit;

[tex]P_1 + \frac{\rho V_1^2}{2} = P_2 + \frac{\rho V_2^2}{2}\\\\P_2 = P_1 + \frac{\rho V_1^2}{2} - \frac{\rho V_2^2}{2}\\\\P_2 = P_1 + \frac{\rho }{2} (V_1^2 - V_2^2)[/tex]

Density of air at 300k = 1.177 kg/m³

[tex]P_2 = P_1 + \frac{\rho }{2} (V_1^2 - V_2^2)\\\\P_2 = 1.2*10^5 \ + \ \frac{1.177}{2} (10^2 - 30^2)\\\\P_2 = 1.2*10^5 \ + \ -470.8\\\\P_2 = 1.195*10^5 \ N/m^2[/tex]

Therefore, the air pressure at the exit is 1.195 x 10 N/m²


Related Questions

How can you tell whether a trash container is for regular or biohazardous waste?.

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You can tell whether the trash container is for regular or biohazardous waste by looking at the color of the trash or looking to see if it has an image because a hazardours waste always as a picture on it and is usually colored red.

if you play roblox leave user down bellow

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Answer:

why dont you make friends on roblox lol might be safer

Explanation:

Answer:

yes i play roblox

Explanation:

But why are you asking this type of Question

“We’re late for homeroom,” said Bonnie, surprised to hear herself say “we.” “EARL is a tool, Bonnie’s mother kept reminding her, not a friend or a puppy. ‘Don’t anthropomorphize it, honey,’ Bonnie’s mom said one night after she found Bonnie dancing around her bedroom with the metal contraption. ‘It’s a walking blender. Never forget that.”

QUESTION: What does, "Anthropomorphize" means in the sentences above?
(A) It means to program a robot so that it acts in a robotic or unnatural way?
(B) Or it means to give human characteristics to an object or animal?
(C) To make a human act more like an animal and less of a human?
(D) Or to make a human act more like an animal and less of a human?

Answer correctly
Will give Brainliest, a THX, friend request, and will rate ur answer

Answers

Answer:

Hi there

Your answer is:

B.

Explanation:

The "metal contraption", as the text goes on to say, is treated like a friend to Bonnie. Her mom comments on this by contrasting the metal contraption to a puppy.

Hope this helps

B. Or it means to give human characteristics to an object or animal.

7)
Given a series silicon diode circuit with the resistor R=2 ko ohms and an applied voltage of 10
V, what is Ipg?
A) 0.5 mA
B) 10 mA
C) 4.65 mA
D) 1.0 mA

Answers

Answer:

  C)  4.65 mA

Explanation:

The series circuit will have a voltage drop of about 0.7 V across the silicon diode, so the voltage drop across the 2 kΩ resistor is 10 -0.7 = 9.3 V. The current through the resistor is given by Ohm's Law:

  I = V/R = 9.3 V/(2 kΩ)

  I = 4.65 mA

Lynx eat snowshoe hares, and snowshoes hears eat plants. Which term can be applied to the lynx in this food chain example? Primary consumer predator secondary consumer

Answers

Answer:

primary consumer because YES

Answer:predator and secondary consumer

Explanation:

what is an undescribable outcome from cellphones?​

Answers

Answer:

Cell phones emit low levels of non-ionizing radiation when in use. The type of radiation emitted by cell phones is also referred to as radio frequency (RF) energy. As stated by the National Cancer Institute, "there is currently no consistent evidence that non-ionizing radiation increases cancer risk in humans.

Explanation:

Cell phones emit low levels of non-ionizing radiation when in use. The type of radiation emitted by cell phones is also referred to as radio frequency (RF) energy. As stated by the National Cancer Institute, "there is currently no consistent evidence that non-ionizing radiation increases cancer risk in humans.

Calculate the current in the coiled heating element of a 240-V stove. The resistance of the element is 60 ohms at its operating temperature.

Answers

Answer:

  4 A

Explanation:

Current is found using Ohm's law.

  I = V/R

  I = (240 volts)/(60 ohms) = 4 A

The heating element current is 4 amperes.

Deviations from the engineering drawing can’t be made without the approval of the

Answers

Engineer's approvall makes it appropriate to alter from the drawing

What is Engineering drawing?

Engineering drawing is a document that contain the design of an engineer represented in a sketch.

deviating fron the drawing is same as deviating from the design. it is therefore necessary to call the engineers attention before altering the drawing.

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From the top of a vertical cliff 80m high, the angles of depression of 2 buoys lying due west of the cliff are 23° and 15° respectively. How far are the buoys apart?​

Answers

Answer:

  110 m

Explanation:

The geometry of the problem can be modeled by a right triangle. The height of the cliff forms one leg, and the distance to a buoy forms the other leg. The angle of depression is opposite the height of the cliff. An appropriate trig relation is ...

  Tan = Opposite/Adjacent

Solving for the Adjacent side (the distance to the buoy), we find ...

  Adjacent = Opposite/Tan

  distance to buoy 1 = (80 m)/tan(23°) ≈ 188.468 m

  distance to buoy 2 = (80 m)/tan(15°) ≈ 298.564 m

Then the distance between the buoys is ...

  298.564 -188.468 m ≈ 110 m

The buoys are about 110 meters apart.

When a current carrying coil is placed between the magnetic poles a force acts on it that causes it to rotate what can be done to make the coil rotate faster

Answers

Answer:

increase the field strengthincrease the currentdecrease the moment of inertia of the coil

Explanation:

The rotation speed depends on the force applied to the coil, and on the mass (moment of inertia) of the coil. The force can be increased by ...

  increasing the magnetic field strength

  increasing the coil current

And the moment of inertia can be decreased by ...

  making the coil lighter

  making the coil more compact.

Any of these changes will increase the rotation speed.

Explain how to properly engage the safety latches on the Stan Design Pit Jack.

Answers

The way to properly engage the safety latches on the Stan Design Pit Jack is:

Connect the hydraulic jack.Make sure it is properly lubricated.Ensure that the rolling bridge jack is well fused together.Use the machine.

What is the Stan Design Pit Jack?

This refers to the machination which makes use of pit jacks to execute tire rotation in a fast lube pit.

We can note that based on the design, this machine is put in the pit of a car and then rolls back and forth and perform their operations on both the front and real axles.

Hence, it is important to note that the safety latches are designed to prevent work accidents and it is important to properly lubricate the parts to prevent damage.

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Please give me the answers

Answers

Answer:

Water ferries

What make metal ductwork more desirable than flex duct?

Less friction loss

Less chance of restriction

More direct routes to boots

All of the above

Answers

I think all of the above
Hope this helps

In lighting system, why it is important to consider maintenance factor?

Answers

Answer: The maintenance factor of a lighting system reflects how much of the initial luminous flux is still available at the end of its useful life. The planned lighting engineer must compute the maintenance factor and multiply the new value of the light output by it.

Explanation:

Answer:

Explanation: A lighting system's maintenance factor indicates how much of the initial luminous flux remains available at the end of its service life. The maintenance factor must be determined by the planning lighting engineer and the new value of the luminous flux multiplied by it.

Air is contained inside a vertical piston-cylinder assembly by a piston of mass 105 kg and face area of 0.05 m2 . The mass of air inside the cylinder is 20 grams, and the air initially occupies a volume of 50 liters. The atmosphere exerts a pressure of 101.3 kPa on the top of the piston. The volume of the air slowly decreases to 0.005 m3 , while maintaining constant pressure, as the specific internal energy of the air decreases by 175 kJ/kg. Neglecting friction between the piston and the cylinder wall, determine the heat between the surroundings and the air inside the piston-cylinder assembly in kJ

Answers

Answer:

ΔQ = 1.06 KJ

Explanation:

The amount of heat transfer between the piston-cylinder system and the surrounding can easily be found by using the First Law of Thermodynamics. The first law of thermodynamics can be written as follows:

ΔQ = ΔU + W

ΔQ = mΔu + PΔV

where,

ΔQ = Heat transfer between system and surrounding = ?

Δu = specific change in internal energy of the system = - 175 KJ/kg

m = mass of air = 20 g = 0.02 kg

P = Constant Pressure = 101.3 KPa

ΔV = Change in Volume = 0.05 m³ - 0.005 m³ = 0.045 m³

Therefore,

ΔQ = (0.02 kg)(-175 KJ/kg) + (101.3 KPa)(0.045 m³)

ΔQ = -3.5 KJ + 4.56 KJ

ΔQ = 1.06 KJ

a. An 80-percent efficient pump with a power input of 20 hp is pumping water from a lake to a nearby pool at ar ate of 1.5 ft3 /s through a constant-diameter pipe. The free surface of the pool is 80 ft above that of the lake. Determine the mechanical power used to overcome frictional effects in piping.

b. Water is pumped from a lake to a storage tank 15 m above at a rate of 70 L/s while consuming 15.4 kW of electric power. Disregarding any frictional losses in the pipes and any changes in kinetic energy. Determine:

1. The overall efficiency of the pump–motor unit.
b. The pressure difference between the inlet and the exit of the pump.

Answers

Answer:

A) mechanical power used to overcome frictional effects in piping = 2.373 HP

B) efficiency = 66.82%

Pressure difference = 147 KPa

Explanation:

We are given;

efficiency of pump; η = 80% = 0.8

power input of pump;P_pump,in = 20 hp

rate being pumped; Q = 1.5 ft³/s = 0.04248 m³/s

free surface of pool; Δz = 80 ft = 24.384 m

mechanical pumping power used to deliver water is;

W_u = η × P_pump,in

W_u = 0.8 × 20

W_u = 16 Hp

Now, change in total mechanical energy of water will be equal to the change in potential energy.

Thus, it is expressed as;

ΔE_mech = ρ × Q × g × Δz

Where ρ is density of water = 1000 kg/m³

Thus;

ΔE_mech = 1000 × 0.04248 × 9.81 × 24.384 = 10,161.5150592 J/s

Converting to HP gives;

ΔE_mech = 13.627 HP

Now, mechanical power used to overcome frictional effects is given by;

W_frict = W_u - ΔE_mech

W_frict = 16 - 13.627

W_frict = 2.373 HP

B) We are now given;

W_elect,in = 15.4 KW

Volumetric flow rate; q = 70 l/s = 0.07 m³/s

Height; h = 15 m

Mass flow rate; m' = qρ

Where ρ is density of water = 1000 kg/m³.

m' = 0.07 × 1000

m' = 70 kg/s

Now,

ΔE_mech = workdone through height of 15m

Thus;

ΔE_mech = m'gh

ΔE_mech = 70 × 9.8 × 15

ΔE_mech = 10,290 W = 10.29 Kw

efficiency of the pump–motor unit = ΔE_mech/(W_elect,in) = 10.29/15.4 = 0.6682 or 66.82%

Pressure difference = ρgh = 1000 × 9.8 × 15 = 147,000 Pa = 147 KPa

A rope is wrapped three and a half times around a cylinder. Determine the range of force T exerted on
the free end of the rope for maintaining equilibrium that is required to just support a 5 kN weight. The
coefficient of friction between the rope and the cylinder is 0.2

Answers

The range of force exerted at the end of the rope is; 285.7 N to 1,000 N.

What is the Net horizontal force?

The net horizontal force of the cylinder when it is at equilibrium position can be found by applying Newton's second law of motion. Thus;

∑F = 0

F - μF_n = 0

We are given;

F_n = 5 kN = 5000 N

μ = 0.2

Thus;

F - 0.2(5,000) = 0

F - 1,000 = 0

F = 1,000 N

The strength of the applied force will be increasing as the number of turns of the rope increases. Thus;

Minimum force = Total force/number of turns of rope

Since rope is wrapped three and half times, then;

number of turns = 3.5

Thus;

minimum force = 1,000/3.5

minimum force = 285.7 N

Thus, the range of force exerted at the end of the rope is 285.7 N to 1,000 N.

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At time t the resultant force on a particle, of mass 250kg is (300ti-400tj)N. Initially, the particle is at the origin and is moving

with the velocity (2i-3j)m

−1

Answers

Answer:

i

Explanation:

what is this answer Is cereal soup?

Answers

Cereal soup is like spaghetti Os is it soup is it cereal who knows

Answer:

depend what cereal yeha

Explanation:

no explanation

Refrigerant-134a at 1 MPa and 100 C is to be cooled to 1 MPa and 28 C in a condenser by air. The air enters at 125 kPa and 25 C with a mass flow rate of 697 kg/min and leaves at 97 kPa and 58 C. Determine the mass flow rate of the refrigerant. Assume air has a constant heat capacity determined at room temperature. Report the mass flow rate of the refrigerant in kg/min with one decimal digit, for example 95.3 or 105.6.

Answers

I don’t know but it might be a lot

A measurement that represents where two lines, arcs, or a
line and an arc would meet is called:

Answers

Angle is defined as the measurement that represents where two lines, arcs, or a line and an arc would meet.

What is an Arc?

This is defined as a smooth curve which joins two endpoints. An angle can be formed when two two lines, arcs, or a line and an arc meet.

This is why it was chosen as the most appropriate type of measurement in the scenario mentioned above.

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whats your answer Where is the strangest place you’ve urinated or defecated?

Answers

Answer:At the train station

Explanation:

Answer:

in those camping portal pottys

What’s is the answer

Answers

I think it’s c because That one makes the most sense

An experimental arrangement for measuring the thermal conductivity of solid materials involves the use of two long rods that are equivalent in every respect, except that one is fabricated from a standard material of known thermal conductivity kA while the other is fabricated from the material whose thermal conductivity kB is desired. Both rods are attached at one end to a heat source of fixed temperature Tb, are exposed to a fluid of temperature [infinity] T[infinity], and are instrumented with thermocouples to measure the temperature at a fixed distance x1 from the heat source. If the standard material is aluminum, with kA= 200 W/m·K, and measurements reveal values of TA= 75°C and TB= 70°C at x1 for Tb= 100°C and [infinity] T[infinity]= 25°C, what is the thermal conductivity kB of the test material?

Answers

Answer: the thermal conductivity of the second material is 125.9 W/m.k

Explanation:

Given that;

The two rods could be approximated as a fins of infinite length.

TA = 75°C,    θA = (TA - T∞) = 75 - 25 = 50°C

TB = 70°C     θB = (TB - T∞) = 70 - 25 = 45°C

Tb = 100°C    θb = (Tb - T∞) = (100 - 25) = 75°C

T∞ = 25°C

KA = 200 W/m · K ,   KB = ?

Now

The temperature distribution for the infinite fins are given by

θ/θb = e^(-mx)

θA/θb= e^-√(hp/A.kA) x 1  --------------1

θB/θb = e^-√(hp/A.kB) x 1---------------2

next we  take the natural logof both sides,  

ln(θA/θb) = -√(hp/A.kA) x 1 ------------3

In(θB/θb) = -√(hp/A.kB) x 1 ------------4

now we divide 3 by 4

[ ln(θA/θb) /in(θB/θb)] = √(KB/KA)

we substitute

 [ In(50/75) /In(45/75)] = √(KB/200)

In(0.6666) / In(0.6) = √KB / √200

-0.4055/-0.5108 = √KB / √200

0.7938 = √KB / 14.14

√KB = 11.22

KB = 125.9 W/m.k

So the thermal conductivity of the second material is 125.9 W/m.k

All of these are true about aluminum EXCEPT that it:
A) has a self-healing, corrosion-resistant coating.
B) is resistant to galvanic corrosion.
C) is a nonferrous metal.
D) is easy to be initially formed.

Answers

All of the aforementioned are true characteristics and properties of aluminum except: B. is resistant to galvanic corrosion.

What is aluminum?

Aluminum can be defined as a silvery white metal and it is considered to be the most abundant metal found in the Earth's crust. Also, it is represented with the chemical symbol "Al" and it has an atomic number of thirteen (13).

This ultimately implies that, aluminum is found in Group 3 on the periodic table because it has three (3) valence electrons, which are found in the outermost shell of its atomic nucleus.

The characteristics and properties of aluminum.

Some of the characteristics and properties of aluminum include the following:

It has a self-healing and corrosion-resistant coating.It is a nonferrous metal.It is easy to be initially manufacture or formed.

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Whose responsibility is it to provide a safe and healthy workplace?

Answers

Answer:

Under the OSH law, employers have a responsibility to provide a safe workplace. This is a short summary of key employer responsibilities: Provide a workplace free from serious recognized hazards and comply with standards, rules and regulations issued under the OSH Act.

credits to google

Explanation:

Answer:

employers

Explanation:

because they are responsible.

How long would a piece of wood need to be to make a diagonal brace for a rectangle that measures 4 inches by 3 inches? Use the Pythagorean theorem, a² + b² = c², to determine the answer. 5 inches 7 inches 12 inches 25 inches Select the correct answer.

Answers

Answer:

Length of a diagonal = 5 inches

Explanation:

Let [tex]a[/tex] and [tex]b[/tex] the sides of the rectangle and [tex]c[/tex] be the diagonal of the rectangle.

According to the Pythagorean theorem, sum of squares of base and perpendicular is equal to the square of hypotenuse.

As each angle of the rectangle is a right angle,

[tex]a^2+b^2=c^2[/tex]

Put [tex]a=4\,,\,b=3[/tex]

[tex]4^2+3^2=c^2\\16+9=c^2\\25=c^2\\\sqrt{25}=c\\ 5=c[/tex]

So,

Length of a diagonal = 5 inches

Using the Equilibrium Equation (F1d1 = F2d2), find F1, if d1 = 30ft, and F2 = 1050lb, and d2=22ft. Please state your answer in pounds and round to the nearest whole number.

Answers

Answer:

77 lb

Explanation:

Equation: F₁d₁ = F₂d₂

Knowns:

d₁ = 30 ft

F₂ = 105 lb

d₂ = 22 ft

Solving for F₁:

1). F₁•30 = 105•22

2). F₁•30=2,310

3).[tex]\frac{F_1\cdot 30}{30}=\frac{2310}{30}[/tex]

4). F₁ = 77 lb

Clarisse is an architect. What skills will she apply to integrate her visualized solutions with other aspects such as business and industry standards? Clarisse will apply BLANK skills to integrate her visualized solutions with other aspects such as business and industry standards.

Answers

Answer:

Conceptual problem-solving skills

Explanation:

Conceptual problem-solving is a way of solving problems by applying what we know to what we do not know. For Clarisse who is an architect, the knowledge she has about visualization, and the concepts of the business world are not quite related.  

So to integrate her visualization solutions to business standards, she would have to compare the two spheres of knowledge to determine how to adapt one t the other.  

Answer:

Management skills

Explanation:

Bit of a shot in the dark here, but, and i quote:

"Management skills comprise planning, organizing, and coordinating a project to reach a goal. Architects apply management skills to integrate their visualized solutions with other aspects such as business and industry standards."

Hopefully this works out for ya'll.

Technician A says that a circuit with continuity reads 0 ohms. Technician B says that an open circuit reads 0 ohms. Who is correct

Answers

Answer:

  A

Explanation:

An open circuit has infinite resistance, not 0. A circuit with continuity usually measures a few ohms or less, depending on the length and gauge of the wire and the condition of the connections. Often, on a general-purpose ohmmeter, the reading is very near 0 ohms.

Technician A is correct.

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