The surface of many airfoils can be described with an equation of the form y = n

Question

The surface of many airfoils can be described with an equation of the form y = not equal tc/0.2 [a_0 squareroot x/c + a_1(x/c) + + a_(x/c)^+ a_3(x/c)^3 + a_4(x/c)^4] where t is the maximum thickness as a fraction of the chord length c (e.g., t_max = ct). Given that c = 1 m and t = 0.2 m, the following values for y have been measured for a particular airfoil: Determine the constants a_0, a_1, a_2, a_3, and a_4.(Write a system of five equations and five unknowns, and use MATLAB to solve the equations.) Using mat lab An epicycloid is a curve (shown partly in the figure) obtained by tracing a point on a circle that rolls around a fixed circle. The parametric equation of a cycloid is given by: x = 13cos(t)-2cos(6.5t) y = 13sin(t)-2sin(6.5t)Plot the cycloid for 0 lessthanorequalto t lessthanorequalto 4 pi.

Explanation / Answer

23)

%Assigning t

T= [0:0.01:4*pi];

X= (13*cos (t))-(2*cos (6.5*t));

Y= (13*sin (t))-(2*sin (6.5*t));

Plot(x, y)

Xlabel (‘x’)

Ylabel (‘y’)

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