The surface of many airfoils can be described with an equation of the form xa₁x y ‚ = + 0 = ₂2 [²₁ √²/² + tc ±[ao, 0.2 arx + a₂ (²)² + α3 (²)³ + α₁ (²) * Where t is the maximum thickness as a fraction of the chord length (tmax = ct). Given that c=1 m and t=0.2 m, the following values for y have been measured for a particular airfoil: X (m) 0.18 0.33 0.53 0.74 0.88 Y(m) 0.08409 0.0954 0.05823 0.06507 0.03001 Determine the constants ao, a₁, az, az and a4. 3₁ Thickness Ipa

Elementary Geometry For College Students, 7e
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Chapter9: Surfaces And Solids
Section9.4: Polyhedrons And Spheres
Problem 23E: The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each...
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The surface of many airfoils can be described with an equation of the
form
3
tc
y = +6²₂ [²√²+²
xa₁x
+ a₂
2 (²) ²³.
+ az
²3 (²) ³² + ²₂ (²) * ¹
a₁
0.2
Where t is the maximum thickness as a fraction of the chord length (tmax = ct).
Given that c=1 m and t=0.2 m, the following values for y have been measured for a particular airfoil:
X (m)
0.18
0.33
0.53
0.74
0.88
Y(m)
0.08409
0.0954
0.05823
0.06507
0.03001
Determine the constants ao, a₁, az, a3 and a4.
3²
Thickness
leva
Transcribed Image Text:The surface of many airfoils can be described with an equation of the form 3 tc y = +6²₂ [²√²+² xa₁x + a₂ 2 (²) ²³. + az ²3 (²) ³² + ²₂ (²) * ¹ a₁ 0.2 Where t is the maximum thickness as a fraction of the chord length (tmax = ct). Given that c=1 m and t=0.2 m, the following values for y have been measured for a particular airfoil: X (m) 0.18 0.33 0.53 0.74 0.88 Y(m) 0.08409 0.0954 0.05823 0.06507 0.03001 Determine the constants ao, a₁, az, a3 and a4. 3² Thickness leva
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