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Wing
Area (Level 2) Activity
If so instructed by your teacher, print out a worksheet page
for these problems.
Open the slide called
Wing Area
(with text) and read the explanation of why design engineers calculate the
area of wing planforms (planform is the total surface of the
wing surface from above).
USE INTEGRATION
TO SOLVE THESE PROBLEMS.
YOU MAY FIND IT
HELPFUL TO ROTATE SOME SHAPES.
- What is the
area of the Wright Brother's rectangular planform?
area = _______________
- What is the area
of the F-18 (Blue Angels) trapezoidal planform?
area = _______________
- What is the area
of the Concorde triangular planform? (Note: These are not the
actual dimensions.)
area = _______________
- What is the area
of the Space Shuttle's compound planform? (Note: These are not
the actual dimensions.)
area = _______________
- What is the area
of the Boeing 747 trapezoidal planform? (Note: The coordinates
of the vertices are given in the diagram. These are not the actual dimensions.
Hint: Rotate the figure 90o or integrate along the
y-axis with the equations of the lines solved for x as a function of
y.)
area = _______________
- Design your own
wing below including its dimensions.
- What is the area
of your airplane's planform?
- Explain why you
designed your planform the way you did.
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