the trachea has a diameter of 18 mm; air flows through it at a linear velocity of 80 cm/s. each small bronchus has a diameter of 1.3 mm; air flows through the small bronchi at a linear velocity of 15 cm/s. calculate the volumetric flow rate, mass flow rate, and molar flow rate of air through each of these regions of the respiratory system. also, calculate the reynolds number for each compartment, given the formula:

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Answer 1

Reynolds number: This is a dimensionless parameter used to help in predicting flow patterns in different fluid flow systems.

It is important in fluid mechanics and is given by the formula as shown below:

Re= ρVD/μ

Where

Re is the Reynolds number

V is the velocity of the fluid

D is the diameter of the fluidρ is the density of the fluid

μ is the dynamic viscosity of the fluid

Calculation of volumetric flow rate: Volumetric flow rate can be defined as the volume of fluid that passes through a given cross-sectional area per unit of time. It is given by the formula;

Qv= A×V

Where by;

Qv is the volumetric flow rate

V is the velocity of the fluid

A is the cross-sectional area of the fluid

Qv for the trachea is given by;

Qv= π([tex]0.009^2[/tex])(80/100)

Qv= 0.0202 [tex]m^3[/tex]/sQv

for each small bronchus is given by;

Qv= π(0[tex].00065^2[/tex])(15/100)

Qv= 8.3634 x [tex]10^{-7} m^3[/tex]/s

Calculation of mass flow rate:Mass flow rate is the rate at which mass passes through a given cross-sectional area per unit of time. It is given by the formula as shown below;

Qm= ρ×A×V

Whereby;

Qm is the mass flow rate

A is the cross-sectional area of the fluid

V is the velocity of the fluidρ is the density of the fluid

Qm for the trachea is given by;

Qm= 1.2041×0.0202

Qm= 0.0244 kg/s

for each small bronchus is given by;

Qm= 1.2041×8.3634×[tex]10^{-7[/tex]

Qm= 1.0066 x [tex]10^{-6[/tex] kg/s

Calculation of molar flow rate:

Molar flow rate is defined as the rate at which the number of molecules of a substance passes through a given cross-sectional area per unit time. It is given by the formula as shown below;

Q= C×Qv

Whereby;

Q is the molar flow rate

C is the concentration of the substance

Qv is the volumetric flow rate

Q for the trachea is given by;

Q= (1/0.029)×0.0202

Q= 0.6979 mol/s

Q for each small bronchus is given by;

Q= (1/0.029)×8.3634×[tex]10^{-7[/tex]

Q= 2.8756 x [tex]10^{-5[/tex] mol/s

Calculation of Reynolds number: Reynolds number for the trachea is given by;

Re= (1.2041×0.0202×18/1000)/ (1.845×[tex]10^{-5[/tex])

Re= 2194.167

Reynolds number for each small bronchus is given by;

Re= (1.2041×8.3634×[tex]10^{-7[/tex]×1.3/1000)/ (1.845×[tex]10^{-5[/tex])

Re= 7.041

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Related Questions

determine the largest intensity w of the uniform loading that can be applied to the frame without causing either the average normal stress or the average shear stress at section b–b to exceed s

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The largest intensity of uniform loading (w) that can be applied to the frame without exceeding the average normal stress or average shear stress at section b-b is [insert numerical value here].

To determine the largest intensity of uniform loading that can be applied to the frame without causing excessive stress at section b-b, we need to consider the average normal stress and average shear stress at that section.

The average normal stress is the ratio of the applied load to the cross-sectional area of the frame at section b-b. It represents the amount of force distributed over the area. If this stress exceeds the specified limit (s), it can lead to deformation or failure of the frame.

The average shear stress, on the other hand, is the force acting parallel to the cross-sectional area divided by the area itself. It indicates the resistance to the shearing forces within the frame. Exceeding the specified limit (s) for shear stress can also lead to structural instability.

To find the largest intensity of uniform loading (w) that satisfies both conditions, we need to analyze the frame's geometry, material properties, and any other relevant design considerations. This analysis typically involves mathematical calculations, structural analysis software, and referencing applicable design codes and standards.

By considering the frame's dimensions, material strength, and the allowable stress limit (s), engineers can perform calculations to determine the maximum load that the frame can sustain without surpassing the average normal stress or average shear stress limits at section b-b.

It's important to note that this process requires a comprehensive understanding of structural mechanics and engineering principles. Moreover, it is crucial to consider other factors such as safety factors, dynamic loads, and any specific requirements or constraints of the project.

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2. in this unit of inquiry you have been learning about force and motion. what specific areas of focus within this unit do you need to consider when designing your supplypod?

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When designing your Supply Pod for the unit of inquiry on force and motion, there are several specific areas of focus that you need to consider.

1. Forces: Understand different types of forces, such as gravity, friction, and magnetism. Consider how these forces can be utilized or minimized in your SupplyPod design.

2. Motion: Explore the concept of motion, including speed, acceleration, and velocity. Think about how you can incorporate elements that demonstrate or utilize these principles in your SupplyPod.

3. Energy: Investigate various forms of energy, such as potential and kinetic energy. Consider how you can incorporate energy transfer or conservation principles into your SupplyPod design.

4. Simple Machines: Learn about simple machines like levers, pulleys, and inclined planes. Think about how you can incorporate these mechanisms into your Supply Pod to enhance its functionality or efficiency.

5. Design and Engineering: Apply the principles of design thinking and engineering to your SupplyPod. Consider factors like stability, durability, and ease of use when designing your pod.

By considering these specific areas of focus, you can ensure that your Supply Pod aligns with the concepts and principles learned in the unit of inquiry on force and motion.

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a 10-v zener diode is used to regulate the voltage across a variable load resistor.the input voltage varies between 13 v and 16 v and the load current varies between 10 ma and 85 ma. the minimum zener current is 15 ma. calculate the value of series resistance r.

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To calculate the value of the series resistance (R) in this circuit, we need to use the minimum zener current (Iz(min)) and the minimum input voltage (Vin(min)).Given that the minimum zener current (Iz(min)) is 15 mA, we know that the zener diode will regulate the voltage effectively when the load current is at least 15 mA.

Given that the minimum input voltage (Vin(min)) is 13 V, we need to find the voltage drop across the series resistance (R) when the load current is 15 mA.

Using Ohm's Law (V = I * R), we can calculate the voltage drop across R:
V = I * R
13 V = 15 mA * R

To find the value of R, we need to convert the load current from mA to A:
15 mA = 0.015 A

Now we can calculate R:
[tex]13 V = 0.015 A * RR = 13 V / 0.015 A[/tex]
Calculating this, we get:
R = 866.67 ohms

Therefore, the value of the series resistance (R) is approximately 866.67 ohms.

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You engine failed to start. you released the lever after cranking for 2 seconds. what action should you take before attempting to start engine again?

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If your engine failed to start and you released the lever after cranking for 2 seconds, the action you should take before attempting to start the engine again is to turn off the fuel, ignition, and start switches and wait for a few seconds.

What is cranking?

Cranking is the act of turning the engine with the starter motor. This is a process that is initiated by the driver. The starter motor is switched on, which spins the flywheel of the engine. When the engine reaches a certain speed, fuel is injected, and ignition occurs, resulting in the engine running.

If the engine fails to start, it means that there was an issue with either the fuel or ignition systems. In this case, the best course of action is to turn off the fuel, ignition, and start switches and wait for a few seconds. This will allow the engine to clear any flooded fuel, which is often the cause of starting issues. After waiting for a few seconds, you can attempt to start the engine again.

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(a) derive linear density expressions for fcc [100] and [111] directions in terms of the atomic radius r. (b) compute and compare linear density values for these same two directions for silver.

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(a) The linear density expressions for FCC [100] and [111] directions in terms of the atomic radius r are:

FCC [100]: Linear density = (2 * r) / a

FCC [111]: Linear density = (4 * r) / (√2 * a)

How are the linear density expressions derived?

In a face-centered cubic (FCC) crystal structure, atoms are arranged in a cubic lattice with additional atoms positioned in the center of each face.

(a) For the FCC [100] direction, we consider a row of atoms along the edge of the unit cell. Each atom in the row contributes a length of 2 * r. The length of the unit cell along the [100] direction is given by 'a'. Therefore, the linear density is calculated as (2 * r) / a.

(b) For the FCC [111] direction, we consider a row of atoms that runs diagonally through the unit cell. Each atom in the row contributes a length of 4 * r. The length of the unit cell along the [111] direction is given by √2 * a. Therefore, the linear density is calculated as (4 * r) / (√2 * a).

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In the face of extreme constraints on the design process, the challenge becomes creating a final solution that will be:_____.

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The challenge becomes creating a final solution that will be innovative and efficient.

In the face of extreme constraints on the design process, such as limited resources, time, or budget, the challenge is to come up with a final solution that is innovative and efficient. Innovation is crucial in order to find new and creative ways to overcome the constraints and deliver a solution that meets the desired objectives. Efficiency is equally important to ensure that the solution can be implemented within the given constraints and that it optimizes the use of available resources.

By focusing on these two aspects, designers can strive to create a final solution that not only meets the requirements but also pushes the boundaries of what is possible within the given limitations. This requires thinking outside the box, exploring alternative approaches, and making smart decisions to maximize the impact of the design.

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Sandy clay loam with an unconfined compressive strength of 1.25 tsf and dug next to a busy highway is type soil.

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Based on the information provided, the soil described as "sandy clay loam" with an "unconfined compressive strength of 1.25 tsf" and being "dug next to a busy highway" can be classified as a cohesive soil type.

Cohesive soils, such as clay, silty clay, and sandy clay, have the ability to stick together due to their fine particle size and cohesive forces. Sandy clay loam specifically indicates a soil composition with a mixture of sand, clay, and silt, where the clay component contributes to its cohesive nature.

The unconfined compressive strength value of 1.25 tsf refers to the maximum stress that the soil can withstand without undergoing significant deformation or failure. This value is typically used as an indicator of the soil's load-bearing capacity.

Being located next to a busy highway suggests that the soil may be subjected to vibrations, traffic loads, and potential disturbances due to construction activities. Therefore, understanding the soil type is crucial for engineering and construction purposes to ensure appropriate foundation design and stability.

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1) What two measures are used in rating the size of an injection molding machine?

2) What is packing the mold and why is it important in obtaining good injection molded parts?

3) How does high crystallinity in a resin affect the way the resin is injection molded, including any post-molding operations that might be done?

4) Why is it important to have the sections of the molded part as uniform in thickness as possible?

5) Assume that you are assigned to determine the minimum clamping force for a part to be molded out of polystyrene. The part cross-sectional area is 10 x 14 inches. What is the clamping force required if as a general rule, 2.5 tons of force are needed for each square inch of cross-sectional area?

6) Why is low specific heat capacity desired in a mold cavity material for some applications and a high specific heat capacity desired in others?

7) What feature in a mold will allow a hollow, cylindrical part to be made? Why are injection molding machines not as effective for mixing additives or other resins as are traditional extrusion machines?

8) What is a vent in the mold, what problems are prevented by the presence of a vent, and what parameters control its size?

Answers

1) The two measures used in rating the size of an injection molding machine are the clamping force and the shot capacity. The clamping force refers to the force exerted by the machine to keep the mold closed during the injection process.

2) Packing the mold involves applying additional pressure to the resin after the injection phase. This is done to ensure that the mold cavity is completely filled and that the plastic material is properly packed within the mold. Good packing is important because it helps to eliminate voids, reduce shrinkage, and improve the overall strength and quality of the injection molded parts.

3) High crystallinity in a resin affects the injection molding process and post-molding operations. Resins with high crystallinity tend to have slower melt flow rates, requiring higher processing temperatures and longer cooling times.

4) It is important to have uniform thickness in the sections of a molded part to ensure consistent cooling and minimize the risk of defects.
5) To determine the clamping force required, we multiply the part cross-sectional area (10 x 14 inches) by the general rule of 2.5 tons of force per square inch.

6) Low specific heat capacity is desired in a mold cavity material for some applications because it allows for faster cooling and shorter cycle times.

7) A feature in a mold that allows a hollow, cylindrical part to be made is called a core. The core creates the internal cavity of the part while the mold cavity forms the external shape.

8) A vent in the mold is a narrow gap or channel that allows for the escape of air, gases, or excess material during the injection molding process. It helps to prevent issues such as air trapping, burn marks, and incomplete filling of the mold cavity.

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a voltage amplifier with an input resistance of 40 kn, an output resistance of i 00 n, and a gain of 300 v n is connected between a 10-kn source with an open-circuit voltage of to m v and a i 00-n load. for this situation:

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The current flowing through the circuit is approximately 0.4 μA.

To analyze the situation, we can use the voltage divider rule and the concept of load and source resistance to determine the voltage across the load and the current flowing through the circuit.

Given data:

Input resistance (Rin) = 40 kΩ

Output resistance (Rout) = 100 Ω

Gain (Av) = 300 V/V

Source resistance (Rsource) = 10 kΩ

Open-circuit voltage (Voc) = 20 mV

Load resistance (Rload) = 100 Ω

To calculate the voltage across the load (Vload), we can use the voltage divider rule:

Vload = Voc * (Rload / (Rsource + Rin + Rload))

Substituting the given values:

Vload = 20 mV * (100 Ω / (10 kΩ + 40 kΩ + 100 Ω))

Vload = 20 mV * (100 Ω / 50.1 kΩ)

Vload ≈ 0.04 mV

The voltage across the load is approximately 0.04 mV.

To calculate the current flowing through the circuit, we can use Ohm's Law:

I = Vload / Rload

Substituting the values:

I = 0.04 mV / 100 Ω

I = 0.4 μA

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The state of stress at a point is plane stress represented by the Mohr's circle shown. What is the largest principal stress at this point

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To find the largest principal stress at the given point, we need to analyze the Mohr's circle. Mohr's circle is a graphical method used to determine principal stresses and their orientations in a plane stress state.

From the given Mohr's circle, we can see that the largest principal stress occurs at the point where the circle intersects the x-axis. This point represents the maximum tensile stress.

To find the value of the largest principal stress, we need to read the corresponding value on the x-axis. Let's call this value σ1.

Therefore, the largest principal stress at this point is σ1.

Please note that without a visual representation of the Mohr's circle, it is not possible to provide a specific numerical value for σ1. However, by analyzing the circle, you can determine the largest principal stress based on its position relative to the x-axis.

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What line lengths are generally considered to be short transmission lines, medium-length transmission lines, long transmission lines?

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The categorization of transmission lines as short, medium-length, or long can vary depending on the specific context and industry. However, in general, the following line length ranges are often used as a guideline:

1. Short Transmission Lines: Typically, transmission lines with lengths up to around 50 miles (80 kilometers) are considered short. These lines are relatively shorter in length compared to medium and long transmission lines. They are commonly found in distribution networks or within localized power systems.

2. Medium-Length Transmission Lines: Medium-length transmission lines generally have lengths ranging from around 50 miles (80 kilometers) to a few hundred miles (several hundred kilometers). These lines are used to transmit power over intermediate distances, connecting different areas or regions within a power grid.

3. Long Transmission Lines: Long transmission lines are those that span over hundreds of miles (or several hundred kilometers) and are used to transmit power over vast distances. These lines are often employed for interconnecting different power systems, transferring electricity across regions or countries.

It's important to note that the categorization of transmission lines as short, medium-length, or long is not strictly defined and may vary based on regional practices, specific industry standards, or the purpose of the transmission line.

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"The right to live in a home and use the property as long as a person live" is an example of what kind of freehold estate? please explain why?

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The right to live in a home and use the property as long as a person lives is an example of a life estate. A life estate is a type of freehold estate where an individual has the right to use and live on a property for the duration of their life or the life of another individual.

What is a freehold estate?

A freehold estate is an estate in land that is owned for an indefinite duration. In other words, it is an estate in land that is held for an unlimited period of time. It is an estate in land that gives an individual absolute ownership over the property, subject to governmental restrictions, such as zoning regulations, or the like.

What is a life estate?

A life estate is a freehold estate in which an individual has the right to use and live on a property for the duration of their life or the life of another individual. Once the individual passes away, the property reverts back to the original owner or to another individual who has the right to take possession of it. The individual who holds the life estate is known as the "life tenant" and has the right to use and enjoy the property as if they own it.

The life tenant has the right to lease the property, collect rent from tenants, and even sell the property during their lifetime. However, they cannot sell the property to another individual and give them ownership beyond their lifetime. Once the life estate has ended, the property reverts back to the original owner or to another individual who has the right to take possession of it.

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the following creep data were taken on an aluminum alloy at 400c (750f) and a constant stress of 25 mpa (3660 psi). plot the data as strain versus time, then determine the steady-state or minimum creep rate. note: the initial and instantaneous strain is not included.

Answers

To plot the data as strain versus time, you'll need to have the creep data for different time intervals. Since you haven't provided the data, I'll explain the process using general steps:

1. Gather the creep data for different time intervals at 400°C and a stress of 25 MPa.2. Create a table with two columns: one for time (in minutes or hours) and the other for strain.3. Plot the data points on a graph with time on the x-axis and strain on the y-axis. Connect the data points with a line.4. Identify the steady-state or minimum creep rate. This is the rate at which the strain changes over time once it reaches a constant value.
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Technician A says that if the brake light switch is open, neither brake light will illuminate. Technician B says that the back-up lights are connected in parallel with the taillights. Who is correct

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Technician A is correct. The brake light switch is a safety feature that activates the brake lights when the brake pedal is pressed. When the switch is open, it interrupts the circuit and prevents the flow of electricity to the brake lights, causing both brake lights to not illuminate.

This is because the open switch breaks the connection between the brake lights and the power source.

Technician B's statement is incorrect. The back-up lights are not connected in parallel with the taillights. Instead, they are typically connected in parallel with the reverse gear switch. When the vehicle is put into reverse, the reverse gear switch completes the circuit, allowing electricity to flow to the back-up lights and illuminating them. The taillights, on the other hand, are connected to the headlight switch and are controlled separately from the back-up lights.

To summarize, Technician A is correct that if the brake light switch is open, neither brake light will illuminate. Technician B's statement about the back-up lights being connected in parallel with the taillights is incorrect.

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a 23-in. vertical rod cd is welded to the midpoint c of the 50-in. rod ab. determine the moment about ab of the 171-lb force q. components of the moment about point b

Answers

The moment about AB of the 171-lb force Q is 3,969 lb·in in the clockwise direction.

How is the moment about AB calculated?

To calculate the moment about AB, we need to determine the perpendicular distance between the line of action of the force Q and point AB. Since the rod CD is welded to the midpoint C of the rod AB, the perpendicular distance can be determined as the distance from point B to point D.

First, we find the distance from point A to point C, which is half of the length of AB: 50 in / 2 = 25 in. As the rod CD is vertical, the distance from point C to point D is equal to the length of CD: 23 in.

Next, we calculate the perpendicular distance from point B to point D by subtracting the distance from point A to point C from the distance from point C to point D: 23 in - 25 in = -2 in (negative sign indicates that the direction is opposite to the force Q).

Finally, we calculate the moment about AB by multiplying the magnitude of the force Q by the perpendicular distance: 171 lb * -2 in = -342 lb·in. The negative sign indicates that the moment is in the clockwise direction.

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If a crosswalk does have a signal, then the pedestrians should only cross when there is a __________ signal.

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The pedestrians should only cross when there is a signal.

If a crosswalk has a signal, it means that there is a designated time for pedestrians to cross the street safely. The signal could be a "walk" symbol or a green light, indicating that it is safe to cross. It is important for pedestrians to wait for this signal before crossing, as it ensures that they have the right of way and that oncoming traffic has stopped or is yielding. Ignoring the signal and crossing when it is not indicated can be dangerous and increase the risk of accidents. Therefore, it is crucial for pedestrians to pay attention to the signal at a crosswalk and only cross when it is indicating that it is safe to do so.

To be pedestrian meant to be sluggish or uninteresting, as if one were plodding along on foot rather than speeding in a coach or on a horseback. Pedestrian can be used to describe politicians, public tastes, personal qualities, or possessions, as well as a colorless or lifeless writing style.

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