Question

A typical wing has aspect ratio of 7 and span of 2m. If taper ratio T = 0.2 then, find the value of root chord.

(a) 0.4761m

(b) 0.61m

(c) 0.81m

(d) 0.71cm

This question was posed to me in homework.

Question is taken from Wing Geometry-1 in chapter Airfoil and Geometry Selection of Aircraft Design

Answer 1

Correct answer is (a) 0.4761m

Explanation: Given, span = 2m, aspect ratio = 7 and taper ratio T = 0.2

The root chord is given by,

Croot = 2*S / (b*(1+T))

Here, S is not given but aspect ratio is given.

Aspect ratio AR = Span square / S = 2*2 / S

7 = 4/ S

S = 0.5714 m^2

Hence, Croot = 2*S / (b*(1+T))

= 2*0.5714 / (2*(1+0.2)) = 0.4761m.