Scale Models and their Actual
The following outline is a suggested activity for teachers to use with their students.
an airplane is a function of several variables, among them wing area.
This activity allows students to use measurement, simple ratios, and simple geometry to find the wing area for any plane
chosen from the Plane Gallery. The twelve aircraft in this Gallery
were all photographed from scale models with the scale 1:72.
Given the scale in the picture, the scale of the model, and the actual wingspan, the challenge for the student is to find to wing area of the model and the wing area of the actual plane. (Groups can be assigned to work on different planes.)
- Choose an airplane from the Plane
- Find the Area of the model's
wing by finding its dimensions. Use the cm scale in the photo.
It ranges from 0 to 25 cm. You will find it easiest to print out the page to work on. (A way to find the area of a polygon that
is not a basic shape, such as a rectangle or triangle, partition
the complex polygon into shapes that are rectangles or triangles.
Find the area of each partition. To find the area of the entire
wing, add the individual areas for each partition. EXAMPLE)
- Find the area of the actual wing
using the ratio (model to actual ) of 1 : 72. The model's dimensions
were calculated in step 2.
Double the result for the total wing area. This is the area used in the "FoilSim"
program that calculates the LIFT for that chosen aircraft. Compare
the results of your calculations with the Linear Data Sheet. Check units of measure.
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