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?

College Physics
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Author:Paul Peter Urone, Roger Hinrichs
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Chapter1: Introduction: The Nature Of Science And Physics
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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 ?
Transcribed Image Text: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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