Variation of Pressure in the atmosphere. The pressure of the atmosphere decreases as we move higher in the atmosphere. The decrease in pressure is proportional to the decrease in density of air. P Р Po O Where P = pressure at any point in the atmosphere, and p = density of air at any point in the atmosphere Po = pressure at sea level = 1.013 x 105 Pa, and Po= air density at sea level = 1.3 kg/m³. a) What is the density p in terms of po, P, and Po? b) Start from the formula dP = -p g dy to determine the pressure at any height y. Note: P is variable c) What is the pressure if the height is 5.0 km above sea level? d) At what height above sea level is the pressure equal to ½ Po?

Variation of Pressure in the atmosphere. The pressure of the atmosphere decreases as we move higher in the atmosphere. The decrease in pressure is proportional to the decrease in density of air. P Р Po O Where P = pressure at any point in the atmosphere, and p = density of air at any point in the atmosphere Po = pressure at sea level = 1.013 x 105 Pa, and Po= air density at sea level = 1.3 kg/m³. a) What is the density p in terms of po, P, and Po? b) Start from the formula dP = -p g dy to determine the pressure at any height y. Note: P is variable c) What is the pressure if the height is 5.0 km above sea level? d) At what height above sea level is the pressure equal to ½ Po?

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Description: Variation of Pressure in the atmosphere.The pressure of the atmosphere decreases as we move higher in the atmosphere. Thedecrease in pressure is proportional to the decrease in density of air.р=2|2°PPWhereP = pressure at any point in the atmosphere,

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

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Concept explainers

Fluid Pressure

The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.

Gauge Pressure

Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.

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Question

Variation of Pressure in the atmosphere.
The pressure of the atmosphere decreases as we move higher in the atmosphere. The
decrease in pressure is proportional to the decrease in density of air.
р
=
2|2°
P
P
Where
P = pressure at any point in the atmosphere,
and p = density of air at any point in the atmosphere
Po pressure at sea level = 1.013 x 105 Pa,
and Po air density at sea level = 1.3 kg/m³.
a) What is the density p in terms of po, P, and Po?
b) Start from the formula dP = - p g dy to determine the pressure at any height y.
Note: P is variable
c) What is the pressure if the height is 5.0 km above sea level?
d) At what height above sea level is the pressure equal to ½ Po ?

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Step 1: Given data:

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Step 2: Finding the expression for density of air at any point in the atmosphere.

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Step 4: Calculation of pressure at 5.0 km above sea level.

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