User:Eas4200c.f08/HW report table/The best of HW3

 Under construction; not final. The intention here is to document the best features in any HW report for the readers (including you); if you see excellent features in any HW report (including your team's) that I may have missed noticing, don't hesitate to let me know. (I don't have time to read all HW reports in detail.) Eml4500.f08 13:57, 13 October 2008 (UTC)


 * prove the expression for the area of a triangle when the height falls out of the triangle. Best solution: Team Aero Team Aeris


 * compare the polar moment of inertia $$\displaystyle J$$ between a solid circular cross section and a thin-walled circular cross section with area $$\displaystyle A$$, there are two parts; Part 1: Keep area the same, i.e., $$\displaystyle A^{(a)} = A^{(b)}$$ and find $$\displaystyle J^{(a)} / J^{(b)}$$; Part 2: Keep moment the same, i.e., $$\displaystyle J^{(a)} = J^{(b)}$$ and find $$\displaystyle A^{(a)} / A^{(b)}$$. Best solution: Team Aeris

EML 4500, The best of HW3
 * matlab problem: NACA airfoil, plot airfoil, find centroid and plot centroid, find area $$\displaystyle \bar{A}$$.
 * follow the code development guide to validate the matlab code with a circular airfoil before applying the code to the NACA airfoil.
 * the area $$\displaystyle \bar{A}$$ has to be found using quadrature by triangles, and not by trapezoids, since this method is more elegant and corresponds exactly to the derivation of the expression $$\displaystyle T = 2 q \bar{A}$$.
 * demonstrate that the code works for $$\displaystyle c = 0.5 m$$, and not $$\displaystyle c = 1 m$$.
 * demonstrate that the same area $$\displaystyle \bar{A}$$ is obtained regardless of the location of the observer point $$\displaystyle P_0$$.
 * do a convergence study for the quadrature and provide a plot.
 * Best solution: Team Aero6 Almost perfect, except for doing for $$\displaystyle c=1m$$ and for not validating their code at different observer points $$\displaystyle P_0$$; good figure explaining the quadrature by triangles, nice plots, syntax highlighting; even applied their code for different NACA airfoils. Team Carbon completed most of the above tasks, except for the location of the centroid; their code's syntax is highlighted by using the wiki commands  .  See also Team Aeris even though the centroid of Team Aeris is a little off center (odd); also did not validate their code at various observer points $$\displaystyle P_0$$.  See also Team Aero.