Asked by BK
a twin-engine cessna is heading on bearing of 35 degrees with an air speed of 180 mph. if the wind is out with a bearing of 90 degrees at 40 mph, then what is the bearing of this course? what is the ground seed of the airplane?
Answers
Answered by
Steve
vehicles and winds travel on a heading, not a bearing. Sadly, this distinction is ignored or unknown to many textbook writers and teachers.
But on to the math.
the Cessna in still air travels be at
(180 sin35°,180 cos35°) = (103.24,147.45)
The wind blows it an additional (-90,0)
Thus, its final velocity is (13.24,147.45)
Thus, its ground speed is √(13.24^2 + 147.45^2) = 148.04
and its heading is 5.2°
But on to the math.
the Cessna in still air travels be at
(180 sin35°,180 cos35°) = (103.24,147.45)
The wind blows it an additional (-90,0)
Thus, its final velocity is (13.24,147.45)
Thus, its ground speed is √(13.24^2 + 147.45^2) = 148.04
and its heading is 5.2°
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