**Task: **

The popular amusement ride known as the corkscrew has a helical shape. The

parametric equations for a circular helix are:

x = a cos t

y = a sint t

z = b*t

Where a is the radius of the helical path and b is a constant that determines the

tightness of the path.

For this homework, plot the x, y, and z variables.

Use 0 ≤ t ≤ 10*pi, b = 0.1 and a = 1.25. Print the graphs, label your axes and title of

the graph.

**Solution:**

clc

clear all

close all

% given values of constants :

t = 0:0.1:10*pi;

b = 0.1;

a = 1.25;

% given equations of x , y , z :

x = a * cos(t);

y = a * sin(t);

z = b * t;

% 3D plotting :

plot3(x,y,z,’b’,’linewidth’,2)

xlabel(‘x-axis’,’fontsize’,15)

ylabel(‘y-axis’,’fontsize’,15)

zlabel(‘z-axis’,’fontsize’,15)

title(‘3D Plot Helix’,’fontsize’,20)

grid on