18. You may know that air pressure decreases as altitude increases. So if you climb a tall mountain, you may feel out of breath because the air pressure at the top of the mountain is lower than at the base of the mountain. For this reason, people who climb Mount Everest need to bring along oxygen tanks. The equation p(a) = 100(0.9147)" represents the air pressure, measured in kilopascals (kPa), at an altitude a km above sea level. a) Copy the following table and complete it for this function. Approximate values to one decimal place p(a) a 0 4 8 12 16 20 24 28 32 36 40 44 b) Sketch the corresponding graph. c) Use the equation to determine the air pressure at the altitude for each of the following locations: i) Mount Logan, altitude 6050 m ii) Mount Everest, altitude 8848 m
18. You may know that air pressure decreases as altitude increases. So if you climb a tall mountain, you may feel out of breath because the air pressure at the top of the mountain is lower than at the base of the mountain. For this reason, people who climb Mount Everest need to bring along oxygen tanks. The equation p(a) = 100(0.9147)" represents the air pressure, measured in kilopascals (kPa), at an altitude a km above sea level. a) Copy the following table and complete it for this function. Approximate values to one decimal place p(a) a 0 4 8 12 16 20 24 28 32 36 40 44 b) Sketch the corresponding graph. c) Use the equation to determine the air pressure at the altitude for each of the following locations: i) Mount Logan, altitude 6050 m ii) Mount Everest, altitude 8848 m
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:18. You may know that air pressure decreases as altitude
increases. So if you climb a tall mountain, you may feel out
of breath because the air pressure at the top of the mountain
is lower than at the base of the mountain. For this reason,
people who climb Mount Everest need to bring along oxygen
tanks. The equation p(a) = 100(0.9147)" represents the air
pressure, measured in kilopascals (kPa), at an altitude a km
above sea level.
a) Copy the following table and complete it for this function.
Approximate values to one decimal place
a
0
4
8
12
16
20
24
28
32
36
40
44
p(a)
b)
Sketch the corresponding graph.
c) Use the equation to determine the air pressure at the
altitude for each of the following locations:
i) Mount Logan, altitude 6050 m
ii)
Mount Everest, altitude 8848 m
Transcribed Image Text:d) Use the equation to find the altitude that corresponds to an
air pressure of 20 kPa.
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