How do I create a tornado figure using plot3 and comet3 commands?

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To create a tornado figure using the plot3 and comet3 commands in MATLAB, the user needs to adjust the input parameters for the plot3 function. The original input for Problem 5.27 involves x values ranging from 0 to 20*pi, with y defined as x*sin(x) and z as x*cos(x). The user is confused about how to manipulate these inputs to achieve the desired tornado shape in the graph. It is emphasized that the task is to alter the input to plot3, not the command itself. The discussion highlights the need for clarity on how to modify the existing mathematical functions to create the tornado effect.
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Homework Statement



Hi,

I'm taking Intro to Computing for Engr. and my highest level math course I have taken is Calculus I. I'm trying to solve this problem in my book for Intro to Computing for Engr. and believe that the math is over my head. This may well be the case. But sense this is a course in which I'm trying to learn how to use MATLAB and not whatever math course in which I would learn how to do such a thing as in the title so I'm kind of lost as to what to do. It's not that I need help using MATLAB I just need help with the math.

5.28

See the first attachment, it's Figure P5.28 in the book

"Figure out how to adjust your input to plot3 in Problem 5.27 so as to create a graph that looks like a tornado. (See Figure P5.28.) Use comet3 instead of plot3 to create the graph."

Note that the plot3 command just plots in three dimensions and comet3 is a command that just plots in three dimensions but allows the use to view the graph being plotted. The inputs to both commands are just the x values, the y values, and the z values.

Alright problem 5.27 had me plotting a three dimensional graph were
x=[0:pi/100:20*pi]
Note that this is just all the values that occur from 0 to 20*pi by increments of pi/100
y = x sin(x)
z = x cos(x)

The resulting graph that I got when I graphed it using the plot3 command is the second attachment.

Alright I have no idea how to manipulate plot3(x,y,z), (see were I defined x, y, and z), to get the tornado figure and was hoping someone could point me in the right direction in some way shape or form.

Thanks!

Homework Equations





The Attempt at a Solution

 

Attachments

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The problem does not say "manipulate plot3(x, y, z)". It says alter your input. What is your input for 5.27?
 
it's just
plot3(x,y,z)
were
x=[0:pi/100:20*pi]
y = x sin(x)
z = x cos(x)
 
Here's the original problems. The problems are exactly the same but the numbering is different because it's from the first version of the book but were using the second version in our course. I got the first version on my computer. The wording is exactly the same as that of my book the numbering is just different.

Here's what I did for 5.27, and the resulting graph for part (c) is the second attachment for the first post, and is what is being referred to in the next problem which I'm completely lost as to were even to begin

%5.27
x=[0:pi/100;20*pi];
y=[x.*sin(x)];
z=[x.*cos(x)];
%(a)
plot(x,y)
title('xsin(x)');
xlabel('x');
ylabel('xsin(x)');
grid on
%(b)
polar(x,y)
title('xsin(x)');
grid on
%(C)
x=[0:pi/100;20*pi];
y=[x.*sin(x)];
z=[x.*cos(x)];
plot3(x,y,z)
title('xsin(x) & xcos(x)');
xlabel('x');
ylabel('xsin(x)');
zlabel('xcos(x)');
grid on
 

Attachments

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  • 5.28222.JPG
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i got it
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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