9. An airplane altimeter is a gauge that indicates the height of the plane above the ground. The gauge works based on air pressure, according to the formula h = 18 400 log, where h is the height above the ground in metres, P is the air pressure at height h, and P is the air pressure at ground level. Air pressure is measured in kilopascals (kPa). a. Air pressure at the ground is 102 kPa. If the air pressure outside the airplane is 32.5 kPa, what is the height of the airplane? b. How high would the airplane have to be flying for the outside air pressure at that height to be half of the air pressure at ground level?
9. An airplane altimeter is a gauge that indicates the height of the plane above the ground. The gauge works based on air pressure, according to the formula h = 18 400 log, where h is the height above the ground in metres, P is the air pressure at height h, and P is the air pressure at ground level. Air pressure is measured in kilopascals (kPa). a. Air pressure at the ground is 102 kPa. If the air pressure outside the airplane is 32.5 kPa, what is the height of the airplane? b. How high would the airplane have to be flying for the outside air pressure at that height to be half of the air pressure at ground level?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcribed Image Text:9. An airplane altimeter is a gauge that indicates the height of the
plane above the ground. The gauge works based on air pressure,
according to the formula h = 18 400 log, where h is the height
above the ground in metres, P is the air pressure at height h, and
P is the air pressure at ground level. Air pressure is measured in
kilopascals (kPa).
a. Air pressure at the ground is 102 kPa. If
the air pressure
outside the airplane is 32.5 kPa, what is the height of the
airplane?
b. How high would the airplane have to be flying for the
outside air pressure at that height to be half of the air
pressure at ground level?
Transcribed Image Text:c. If the weather changes, then the air pressure at ground
level may change. How do pilots take this into account?
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