Question

3. (3 points) Write the sequence of MATLAB commands that you would use to produce a plot depicting the rotini-like surface defined by: for radii (r) going from 0 to 1 (21 values) and angles (θ) going from-10π to 10π (501 values). Your sequence of commands should define rectangular grids of radii and angles, transform them to cartesian coordinates (x.y), compute z, and plot the result as a solid surface, without gridlines (use shading command), with equally scaled x, y and z axes, and axes tightly framing the resulting surface. Be sure to label your axes. 4. (1 point) List one advantage and one drawback of plotting surface data coming from an irregular grid using triangulation as opposed to interpolation.

Answer 1

`Hey,

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clc
clear all
close all
r=linspace(0,1,21);
th=linspace(-10*pi,10*pi,501);
[R,TH]=meshgrid(r,th);
Z=(5+R.^4).*TH/30;
X=R.*cos(TH);
Y=R.*sin(TH);
surf(X,Y,Z)
shading flat
axis equal
xlabel('X-axis');
ylabel('Y-axis');
zlabel('Z-axis');

Figure 1 Eile Edit Yew Insert 1ools Desktop 岦indow Help -6 0.5 95 Y-axis -axis O Type here to search ^旬后 ENG 10:21 AM US 02/28/19

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