Question 4 (15 pts) Suppose you are part of a team who is working on developing an artificial respiratory device for patients. At some point, you needed to estimate the power required for the inhalation of an average person. Using your fluid mechanics knowledge and with some additional assumptions, you should be able to determine. It is known that the tidal volume, which is the air breathed in with each normal breath through the mouth and nose (labeled as A), is 0.5 liters. If it occurs within 1.5 seconds through the trachea (labeled as B) having a cross-sectional area of 125 mm2 , estimate the power required for a single inhalation. State any assumptions you are making. Hint: Recall that Power=(Force, F) x (velocity, v)

Answers

Answer 1

Where the above conditions are ogiven, the power required for a single inhalation is approximately 0.00141 W.

What is the explanation for the above response?

To estimate the power required for a single inhalation, we need to calculate the force and velocity of the air flowing through the trachea.

Assumptions:

We assume that the air can be treated as an incompressible fluid.

We assume that the air flow is laminar.

We assume that the trachea is a straight pipe with a constant diameter of 10 mm (since the cross-sectional area is 125 mm^2).

We neglect any frictional losses due to the presence of the walls of the trachea.

First, let's calculate the velocity of the air. We know that the tidal volume is 0.5 liters, which is equivalent to 500 ml or 0.0005 m^3. This volume is breathed in within 1.5 seconds, so the flow rate of air through the trachea is:

Q = V/t = 0.0005 m^3 / 1.5 s = 0.000333 m^3/s

The cross-sectional area of the trachea is 125 mm^2, which is equivalent to 0.000125 m^2. Using the continuity equation for incompressible fluids, we can relate the flow rate of air to its velocity:

Q = A x v

where A is the cross-sectional area of the trachea and v is the velocity of the air. Solving for v, we get:

v = Q/A = 0.000333 m^3/s / 0.000125 m^2 = 2.664 m/s

Now that we have the velocity, we can calculate the force of the air using the equation:

F = ρ x A x v^2 / 2

where ρ is the density of air, which we can assume to be 1.2 kg/m^3 (at standard conditions of temperature and pressure). Substituting the values, we get:

F = 1.2 kg/m^3 x 0.000125 m^2 x (2.664 m/s)^2 / 2 = 0.000530 N

Finally, we can calculate the power required for a single inhalation using the equation:

Power = Force x Velocity

Substituting the values, we get:

Power = 0.000530 N x 2.664 m/s = 0.00141 W

Therefore, the power required for a single inhalation is approximately 0.00141 W.

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Related Questions

Examples of wheel and axle machine​

Answers

Examples of wheel and axle machine​ are car, ferris wheel Bicycle, Screwdriver and crane

Examples of wheel and axle machine​

The wheel and axle is a simple machine that consists of a wheel attached to a smaller axle, which turns with the wheel. The axle provides a mechanical advantage, allowing a smaller force to be used to turn a larger force, making it an important machine in a wide range of applications. Here are some examples of wheel and axle machines:

Bicycle: The bicycle is a classic example of a wheel and axle machine. The wheel acts as the larger wheel, while the pedals and chain system turn the smaller axle, which is connected to the rear wheel, providing the necessary force to move the bike.

Cars: A car has multiple wheel and axle systems, including the gears and driveshaft. The engine turns the crankshaft, which powers the transmission, which then turns the drive shaft, which in turn spins the wheels.

Ferris wheel: A ferris wheel is a large wheel that rotates around an axle. The passengers sit in seats that are attached to the outer edge of the wheel, allowing them to enjoy a panoramic view while the wheel turns.

Windmills: Windmills use a wheel and axle system to turn the blades and generate power. The blades are attached to the axle, which is connected to a rotor, turning the generator and creating electricity.

Screwdriver: A screwdriver is a simple tool that uses a wheel and axle system. The handle acts as the wheel, while the shaft of the screwdriver acts as the axle, allowing you to turn screws with ease.

Crane: A crane uses a wheel and axle system to lift heavy objects. The pulleys and cables work together to turn the large wheel, which provides the necessary force to lift the load.

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What is Primary Power? The high-amperage, low-voltage welding current. The high voltage, low amperage power supplied by the power utility or generator. The low-voltage, high-amperage power supplied by the power utility or generator. The low-amperage, high-voltage welding current.​

Answers

Answer:

Primary power in welding is often referred to as the input line voltage and amperage available to the welding machine from the shop’s main power line. It is often expressed in watts or kilowatts (KW) and is typically AC. It can be either single-phase or three-phase. None of the options you mentioned are correct definitions of primary power in welding.

the half life of radioactive isotope radium 226 is 1600 years. suppose we have a sample that has a mass of 20 mg

Answers

Answer: 50.1 micrograms.

Explanation: A sample of radium-226 with an initial mass of 20 mg was analyzed. The half-life of radium-226 is 1600 years. Using the exponential decay formula for radium-226, we calculated the amount of radium-226 remaining after 3200 years to be approximately 1.33 x 10^18 atoms, which corresponds to a mass of 50.1 micrograms.

State the various common classes of Cutting and Shaping ​

Answers

Cutting and shaping are processes used in manufacturing and other industries to create various shapes, sizes, and designs in materials such as metal, wood, plastic, and others. The common classes of cutting and shaping include:

1. Machining - This involves the use of machine tools such as lathes, milling machines, grinders, and drilling machines to remove material and shape the workpiece.

2. Shearing - This involves the use of a tool to cut a material along a straight line, such as in cutting sheet metal or paper.

3. Sawing - This involves the use of saw blades to cut materials such as wood, metal, and plastic into desired shapes.

4. Grinding - This involves the use of abrasive wheels or belts to remove material and shape the workpiece.

5. Laser cutting - This involves the use of a high-powered laser beam to cut and shape materials such as metal, wood, and plastic.

6. Waterjet cutting - This involves the use of a high-pressure stream of water mixed with abrasive particles to cut and shape materials.

7. Plasma cutting - This involves the use of a high-temperature plasma arc to cut and shape materials such as metal and steel.

8. Electrical discharge machining (EDM) - This involves the use of electrical sparks to erode and shape the workpiece.

These are some of the common classes of cutting and shaping used in modern manufacturing and production processes.

Please help me with this

Answers

The spark-ignition-piston engine, also known as the Otto Cycle, is a type of internal combustion engine that is commonly used in automobiles, motorcycles, and small aircraft. It works by converting the chemical energy stored in the fuel into mechanical energy through a series of four strokes or cycles.

What are the cycles?

These cycles are:

Intake Stroke: The piston moves downward, drawing in a mixture of air and fuel into the cylinder through the open intake valve.

Compression Stroke: The intake valve closes, and the piston moves upward, compressing the air-fuel mixture to a high pressure and temperature.

Power Stroke: A spark ignites the compressed mixture, causing a rapid expansion of gases that push the piston downward with great force. This is the stroke where the engine generates power.

Exhaust Stroke: The piston moves upward again, expelling the burned gases through the open exhaust valve.

These four strokes constitute a complete engine cycle, and the process repeats itself for every revolution of the crankshaft. In addition to these four strokes, there is a fifth step which is the charge preparation or "induction" step. During this step, the fuel and air mixture is prepared and delivered to the cylinder, either through a carburetor or a fuel injection system.

Overall, the Otto Cycle works by harnessing the energy released by the controlled explosion of the air-fuel mixture in the power stroke to generate rotational motion of the crankshaft, which can be transferred to the wheels of a vehicle or used to power other machinery. The efficiency and power output of the engine are affected by several factors, including the compression ratio, fuel quality, ignition timing, and exhaust system design.

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Which of these simple machines will require the least effort to lift a load? Explain yours answer.
1. A machine with a greater load distance
2. A machine with a smaller effort distance
3. A machine with a greater effort distance
4. A machine with an effort and load distance ​

Answers

Answer:

3. A machine with a greater effort distance

Explanation:

According to the formula for calculating mechanical advantage (MA) in simple machines, which is given by MA = Load distance / Effort distance, a larger effort distance would result in a larger mechanical advantage. This means that with a larger effort distance, a given amount of effort would be able to overcome a larger load.

3. A machine with a longer effort distance: This would presumably need less work since the effort is delivered over a longer distance, resulting in a bigger mechanical advantage and requiring less effort to move the load.

Technician A says that the purpose of the Pre-Delivery Service is to inspect and identify any
problems prior to the vehicle's delivery to the customer and to verify that the vehicle is
functionally and visually ready for delivery to the customer.
Technician B says that the Pre-Delivery Service is performed based upon the standards
published in a Pre-Delivery Service Bulletin specific to each vehicle model and model year.
Who is right?
Select the correct option and click NEXT.
A only
B only
Both A and B
Neither A nor B

Answers

Both Technician A and Technician B are correct.

The purpose of the Pre-Delivery Service is indeed to inspect and identify any problems before delivering the vehicle to the customer, ensuring that it is functionally and visually ready for delivery. This includes checking various components and systems to ensure they are in proper working order and that the vehicle meets the required standards.

Technician B is also correct in stating that the Pre-Delivery Service is performed based on the standards published in a Pre-Delivery Service Bulletin specific to each vehicle model and model year.

These bulletins provide detailed instructions and guidelines for conducting the pre-delivery service, outlining the specific checks, adjustments, and inspections that need to be performed on the vehicle.

Therefore, both technicians are accurate in their descriptions of the purpose and process of the Pre-Delivery Service. It is important to follow the prescribed standards and guidelines to ensure consistency and quality in preparing the vehicle for customer delivery.

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Is big foot real? where does he live if it’s real?

Answers

There is no conclusive evidence to prove the existence of Bigfoot, so it is still a subject of debate whether it is real or not. If it were real, it is said to primarily live in heavily forested regions in the Pacific Northwest region of North America.
I think he’s real I seen footprints.

Can someone help with driver's training?
Match the definition to the correct roadway type:
A. Parkway
B. Trail
C. Ridge

1.A long winding road that has a median with vegetation and a park like setting
2. A road that follows a historic Indian or settlers path (TRACE)
3. A long road that follows the top of a slope

Answers

The correct match for each definition is:

A - ParkwayB - TrailC - Ridge

What is a Parkway?

A Parkway is a long, winding road that often has a median with vegetation and a park-like setting. It is usually designed for recreational driving and scenic views.

A Trail is a road that follows a historic Indian or settlers path. These roads often have historical or cultural significance and may be used for hiking, biking, or horseback riding.

A Ridge is a long road that follows the top of a slope. It may offer scenic views of the surrounding landscape and can be used for recreational driving or commuting.

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When we are on an airplane, a little bit after takeoff, why do the engines suddenly sound like they’re reducing in power?

Answers

The sudden reduction in engine noise that passengers may notice after takeoff is a normal part of the takeoff process and is done to make the flight more efficient and comfortable.

Here is the principle behind flight

The sudden reduction in engine noise or thrust that passengers sometimes hear and feel shortly after takeoff is due to a reduction in engine power as the airplane reaches a certain altitude and speed. This is a normal part of the takeoff process and is known as the "reduction in takeoff thrust" or "thrust reduction".

During takeoff, the aircraft's engines produce a high amount of thrust to get the airplane off the ground and up to a safe altitude. Once the airplane reaches a certain altitude and speed, the pilot reduces the engine power to a lower setting, which is more efficient and produces less noise. The reduction in power is often noticeable to passengers, as the noise and vibration from the engines decrease.

The exact timing of the thrust reduction can vary depending on the airplane type, airline procedures, and other factors. In some cases, the thrust reduction may occur shortly after takeoff, while in other cases, it may occur a few minutes later.

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A stone of mass 10kg released from a sling, moves at a speed of 4m/s in air. what is the kinetic energy of the stone.​

Answers

Answer:

80 Joules.

Explanation:

The kinetic energy (KE) of an object is given by the equation:

KE = 1/2 * m * v^2

where m is the mass of the object and v is its velocity.

Given that the mass of the stone is 10kg and its velocity is 4m/s, we can calculate its kinetic energy as:

KE = 1/2 * 10kg * (4m/s)^2

= 1/2 * 10kg * 16m^2/s^2

= 80 Joules

Therefore, the kinetic energy of the stone is 80 Joules.

Answer:

The kinetic energy of the stone is 80 J

Explanation:

KE = [tex]\frac{1}{2}[/tex] mv², where KE is the kinetic energy, m is the mass, and v is the velocity.

KE = [tex]\frac{1}{2}[/tex] 10·4²

KE = [tex]\frac{1}{2}[/tex] 10·16

KE = [tex]\frac{1}{2}[/tex] 160

KE = 80

All of the following statements related to the PDS "Check Sheet" are correct, EXCEPT:
Select the correct option and click NEXT.
Page two of the "Check Sheet" describes more detailed instructions for performing some of the
operations required during PDS.
The Pre-Delivery Service process and the "Check Sheet" consist of six parts, Before Inspection:
Functional Operation; Walkaround Inspection; Under Hood; Under Vehicle (On Hoist); Road Test.
The "PDS Bulletin" (master document) for the vehicle serviced includes a "hyperlink" to the PDS
"Check Sheet" for the vehicle designated in the TIS search..
O The "Check Sheet" may have hyperlinks to Repair Manual procedures.

Answers

The correct option is: The "Check Sheet" may have hyperlinks to Repair Manual procedures.

The statement that is incorrect is "The "Check Sheet" may have hyperlinks to Repair Manual procedures." The "Check Sheet" typically does not have hyperlinks to Repair Manual procedures.

The purpose of the "Check Sheet" is to provide a checklist of specific tasks and inspections that need to be performed during the Pre-Delivery Service (PDS) process.

It serves as a guide for technicians to ensure that all necessary operations are completed before delivering a vehicle to a customer.

While the "PDS Bulletin" (master document) for the vehicle serviced may include a hyperlink to the PDS "Check Sheet," it does not mean that the "Check Sheet" itself contains hyperlinks to Repair Manual procedures.

The "Check Sheet" is generally a printed document or a digital form that technicians follow, referring to relevant sections of the Repair Manual separately if needed.

Therefore, the statement that the "Check Sheet" may have hyperlinks to Repair Manual procedures is incorrect.

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Technician A says that the Walkaround Inspection is designed to be performed in an efficient
manner to save time and avoid potentially missing something.
Technician B says the Walkaround Inspection is designed to be performed in a counter-clockwise
direction around the vehicle, beginning at the driver's door checking door lock operation and
terminating at the front of the vehicle checking the headlight aim.
Who is right?
Select the correct option and click NEXT.
O A only
OB only
Both A and B
Neither A nor B

Answers

Neither Technician A nor Technician B is entirely correct regarding the Walkaround Inspection.

The Walkaround Inspection is a systematic procedure that aims to ensure the safety and proper functioning of a vehicle. It is not primarily designed to save time but rather to identify any potential issues or hazards. Efficiency is important, but it should not compromise thoroughness.

As for Technician B's statement, while it is common practice to perform the inspection in a specific order, such as starting at the driver's door and ending at the front of the vehicle, there is no strict requirement to follow a counter-clockwise direction. The order may vary depending on the individual or the organization's preferences.

In summary, the Walkaround Inspection should be performed diligently and without rushing, focusing on thoroughly examining various aspects of the vehicle for safety and functionality. It is important to prioritize accuracy and attention to detail rather than strictly adhering to specific time-saving techniques or a fixed direction.

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