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Airlines are allowed to maintain a minimum air pressurewithin the passenger cabin equivalent to that at an altitudeof 8000 $\mathrm{ft}(2400 \mathrm{m})$ to avoid adverse health effects amongpassengers due to oxygen deprivation. Estimate thisminimum pressure (in atm).

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0.74 atm

Physics 101 Mechanics

Chapter 13

Fluids

Fluid Mechanics

Rutgers, The State University of New Jersey

University of Michigan - Ann Arbor

University of Winnipeg

McMaster University

Lectures

03:45

In physics, a fluid is a substance that continually deforms (flows) under an applied shear stress. Fluids are a subset of the phases of matter and include liquids, gases, plasmas and, to some extent, plastic solids.

09:49

A fluid is a substance that continually deforms (flows) under an applied shear stress. Fluids are a subset of the phases of matter and include liquids, gases and plasmas. Fluids display properties such as flow, pressure, and tension, which can be described with a fluid model. For example, liquids form a surface which exerts a force on other objects in contact with it, and is the basis for the forces of capillarity and cohesion. Fluids are a continuum (or "continuous" in some sense) which means that they cannot be strictly separated into separate pieces. However, there are theoretical limits to the divisibility of fluids. Fluids are in contrast to solids, which are able to sustain a shear stress with no tendency to continue deforming.

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The density of atmospheric…

So here we're trying to find the pressure. We know that the pressure is gonna be equal to the atmospheric pressure times the exponential function of negative Y times, the initial times, the density rather times the gravity divided by the atmospheric pressure. Um e x p just This is an exponential function. So whatever is inside the parentheses is a power with a base of E. So that's how that's what exponential function. E x p essentially means so we can solve Soapy is gonna equal one atmosphere times e x p. So the exponential function of negative 2400 meters on Then this will be multiplied by 1.25 times 10 to the negative forth meters to the negative. First and soapy is in equal 0.74 atmospheres. So this would be our final answer. That is the that is the end of the solution. Thank you for watching

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