As a person breathes, during the inhale part of the cycle air moves down the windpipe (bronchus) and through a constriction where the air speed doubles. If the air is traveling 46 cm/s before the constriction and we treat air as an incompressible fluid, determine the pressure drop in the constriction. Use the density of air as 1.29 kg/m3. in Pa

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Answer 1

If the air is traveling 46 cm/s before the constriction and we treat air as an incompressible fluid, the pressure drop in the constriction is 106.8 Pa.

If we treat air as an incompressible fluid, the pressure drop in the constriction can be determined using Bernoulli’s equation. Bernoulli’s equation states that the sum of the pressure, kinetic energy, and potential energy of a fluid stream is constant.

The equation can be expressed as:

P1 + (1/2)ρv12 + ρgh1 = P2 + (1/2)ρv22 + ρgh2

Where P1 and P2 are the pressures before and after the constriction, ρ is the density of the fluid, v1 and v2 are the velocities before and after the constriction, g is the acceleration due to gravity, and h1 and h2 are the heights before and after the constriction.

Given that the air velocity before the constriction is 46 cm/s and the density of air is 1.29 kg/m3, we can calculate the pressure drop in the constriction as follows:

P1 + (1/2)*(1.29 kg/m3)*(46 cm/s)2 + (1.29 kg/m3)*(9.8 m/s2)*h1 = P2 + (1/2)*(1.29 kg/m3)*(92 cm/s)2 + (1.29 kg/m3)*(9.8 m/s2)*h2

Since h1 and h2 are equal and the acceleration due to gravity is constant, we can simplify the equation to:

P1 + (1/2)*(1.29 kg/m3)*(46 cm/s)2 = P2 + (1/2)*(1.29 kg/m3)*(92 cm/s)2

Substituting the given numerical values, we get

P1 + (1/2)*(1.29 kg/m3)*(46 cm/s)2 = P2 + (1/2)*(1.29 kg/m3)*(92 cm/s)2

P1 + 35.6 Pa = P2 + 142.4 Pa

Therefore, the pressure drop in the constriction is 106.8 Pa.

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a plane files from point a to point b. b is 1207 km west 957 km south a. sketch a picture of this situation. what is the total displacement of the plane

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The displacement is which one, which?

The smallest (straight line) length between a body's starting position and its final location—represented by an arrow pointing from starting spot to final position—is referred to as a brain's displacement when it moves through one position to another.

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The drawings show three examples of the force with which someone pushes against a vertical wall. In each case the magnitude of the pushing force is the same. Rank the normal forces that the wall applies to the pusher in ascending order (smallest first).1st drawing is a medium angle2nd drawing is a small angle3rd drawing is a large angle (almost 90 degrees and perpendicular to the wall)

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The normal forces that the wall applies to the pusher in ascending order are :Normal force in the third drawing (large angle),Normal force in the first drawing (medium angle),Normal force in the second drawing (small angle).

The normal force is the force that an object exerts on another object that is in contact with it. In the case of a person pushing against a wall, the normal force is the force that the wall applies to the person.

The magnitude of the normal force is determined by the angle at which the person is pushing against the wall. For a given magnitude of the pushing force, the normal force will be smaller when the angle is larger and larger when the angle is smaller.

In the first drawing, the angle is medium, so the normal force will be between the normal force in the second and third drawings.

In the second drawing, the angle is small, so the normal force will be larger than the normal force in the first drawing and smaller than the normal force in the third drawing.

In the third drawing, the angle is large, so the normal force will be the smallest of the three.

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Which of the following statements is not true of tornadoes?
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The comments below about tornadoes are untrue; they do not typically occur near the warm front associated with a midlatitude cyclone.

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Warm, humid air rises inside thunderclouds while chilly air descends, bringing with it rain or hail and rain. Air currents within the cloud may spin as a result of these circumstances. Despite their initial horizontal orientation, the whirling currents have the ability to change vertical, drop from the cloud, and eventually form a tornado.

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A 75 kg man falls off his ladder and hangs motionless from the ceiling by a cord. Determine the net force on the man. (don't forget units)

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The net force on the 75 kg man who falls off his ladder and hangs motionless from the ceiling by a cord is zero.

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The weight or the force of gravity acting downwards on a 75 kg man that falls off his ladder and hangs motionless from the ceiling by a cord is calculated as follows:

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