Answer :

To determine the aspect ratio of a wing, we need to know the span and the chord of the wing. The span is given as 42 feet and the chord is given as 84 inches.

First, we need to convert the chord from inches to feet to ensure consistent units throughout our calculations. Since there are 12 inches in a foot, we can convert the chord length to feet by dividing by 12:

[tex]\[ \text{Chord in feet} = \frac{84 \text{ inches}}{12} = 7 \text{ feet} \][/tex]

Now, we can calculate the wing area. The wing area is found using the formula:

[tex]\[ \text{Wing Area} = \text{Span} \times \text{Chord} \][/tex]

Plugging in our values:

[tex]\[ \text{Wing Area} = 42 \text{ feet} \times 7 \text{ feet} = 294 \text{ square feet} \][/tex]

The formula for the aspect ratio (AR) is:

[tex]\[ \text{Aspect Ratio} = \frac{\text{Span}^2}{\text{Wing Area}} \][/tex]

Now, we substitute the values we have:

[tex]\[ \text{Aspect Ratio} = \frac{42^2}{294} \][/tex]

Calculate [tex]\(42^2\)[/tex]:

[tex]\[ 42^2 = 1764 \][/tex]

Now, compute the aspect ratio:

[tex]\[ \text{Aspect Ratio} = \frac{1764}{294} = 6 \][/tex]

Therefore, the aspect ratio of the wing is 6.

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Rewritten by : Barada