How can i get value of alpha using trail and error

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Priyank Goel
Priyank Goel el 22 de Abr. de 2021
Editada: DGM el 22 de Abr. de 2021
I have equation CL = 2*(sin(alpha))^2 * cos(alpha)
and value of CL = -0.525
I need value of alpha using trail and error running for loop in MATLAB but not getting, Please help me with possible soution
  3 comentarios
Priyank Goel
Priyank Goel el 22 de Abr. de 2021
Thanks a lot for a well descriptive explaination!
I also got the exact solution for different alphas using "fzero" most close value to your solution being 1.8607.
Also, I would be grateful if you could tell how to get smooth curve for given points for x & y axis
x1 = [3.34, 3.93, 3.65, 2.50, 1]
x2 = [0.19, 0.36, 0.64, 0.84, 1]
y = [0.10, 0.20, 0.40, 0.60, 1]
DGM
DGM el 22 de Abr. de 2021
Editada: DGM el 22 de Abr. de 2021
If your goal is simply to get smooth curves through those points, you can just do spline interpolation:
x1 = [3.34, 3.93, 3.65, 2.50, 1];
x2 = [0.19, 0.36, 0.64, 0.84, 1];
y = [0.10, 0.20, 0.40, 0.60, 1];
yf=linspace(0.1,1,50);
x1f=interp1(y,x1,yf,'spline');
x2f=interp1(y,x2,yf,'spline');
% draw the original coarse curves
plot(y,x1,':'); hold on; grid on
plot(y,x2,':');
% draw the smoothed curves
plot(yf,x1f);
plot(yf,x2f);
Feel free to swap axes if you want the plot facing the other way
If you find the endpoint behavior of 'spline' to be too outrageous, try 'pchip' or 'makima':

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