Question

MATLAB, Please answer question 1.

+ ENGR 102 Homework 9 :- 1) An elliptical staircase that decreases in size with height can be modeled by the parametric equations: r cos(t) y-rsint) it m) Where, e-0.04t Ib cos(O)+ [a sin()]- a and b are the semimajor and semiminor axes of the ellipse, h is the staircase height, and n is the number pf revolutions that the staircase makes. Make a 3-D plot of the staircase with a 20 m, b 10 m, h-18 m, and n-5·(Create a vector t for the domain 0 to 2nn and use the plot3 command. Properly format the plot.) 2.) Molecules of a gas in a container aemoving around at different speeds. Maxwell's speed distribution law gives the probability distribution P( as a function of temperature and speed: where M is the molar mass of the gas in kg/mol, R-831 /(mol K), ?s the gas constant, T is the temperature in kelvins, and v is the molecule's speed in m/s. Make a 3-D plot of Ply) as a function of v and T for 0 s v 1000 and 70 sTs 320 K for oxyeen (molar mass 0.032kg/mol). Properly format the plot. 3.) Generate anonymous functions for the following functions a. f(x)- e017*x3- 2x2 0.8x -3 b. Twc(v.T) = 35.74 + 0.621ST-3575 v0.16 + 0.4275 T v0.16

Answer 1

%Define the variables semiminor, semimajor axes, staircase height, number
%of revolutions
a = 20; b = 10; h = 18; n = 5;

%vector t
t = 0:2*pi*n;

%Calculae r
temp = (sqrt(((b*cos(t)).^2)+((a*sin(t)).^2)));
r = ((a*b)./temp).*exp(-0.04*t);

%Calulate x y z
x = r.*cos(t);
y = r.*sin(t);
z = h.*t/2*pi*n;

%plot
plot3(x, y, z);
xlabel('x(m)'); ylabel('y(m)'); zlabel('z(m)');

Plot: