Question

Matlab

5) The surface of many airfoils can be described with an equation of the form JV Thickness max where t is the maximum thickness as a fraction of the chord length c (e.g., maxct). Given that c - 1 m and t - 0.2 m, the following values for y have been measured for a particular airfoil: 0.5 0.7 x(m)11 0.15 | 0.35 y (m)0.08909 0.099140.088230.061070.03421 0.85 Determine the constants ao» ai, a2, аз, and a4. (Write a system of five equa- tions and five unknowns, and use MATLAB to solve the equations.)

Answer 1

c=1;
t=.2;
b=[.08909;.09914;.08823;.06107;.03421];
x=[.15;.35;.5;.7;.85];
A=(t*c/.2)*[sqrt(x/c) (x/c) (x/c).^2 (x/c).^3 (x/c).^4];%using brodcasting to create a matrix of 5 equations
%x is a column vector, so the above matric A will have rows corresponding
%to each value in x
a=A;
a0=a(1)
a1=a(2)
a2=a(3)
a3=a(4)
a4=a(5)

Command Window >>SysFive ao = 0.2969 al = -0.1258 a2 -0.3526 0.2861 a4 -0.1025