Quote:
Originally Posted by sgtlethargic
Why are there no comments on the Excel graphs?

After digging around for a mathematical solution to the posted equation by Mathematica, I came across a description of what is meant by "sin^m" listed above.
The math form below shows another way of handing the "sin^m", which is not solvable by normal means.
So now we had a way of properly solving the shape of a Tear Drop, and an excerpt is shown below. Here are the equations for X and Y:
X=COS(A10)
Y=SIN(A10)*SIN((A10/2)^$F$8)/$C$7
Where:
Increment = 0.1 (number of desired steps in shape)
A10 = cell A10
$C$7 = 1.925 (constant) used to create a shape with a 2.5:1 length/width ratio
$F$8 = M (constant)
And here is what the spreadsheet data looks like....
To solve for a shape where Y is positive, vary T from 0 to PI. To solve for a shape where Y is negative, vary T from PI to 2PI. In this case I am only interested in solving for Y in the positive state, so T is varied from 0 to PI.
Here is the original graph presented by SGT.
I'm not sure about the Yaxis units for this graph, as they do not give output of 2.5:1 for length/width.
The graph below however does indeed maintain AeroHead's 2.5:1 length/width ratio however. We have "two units" in the Xaxis (1 to +1) and onehalf of the 0.8 units of width (0.4 units) shown. 2.0/0.8 = 2.5:1
SGT, thanks for posting your original graph of this shape, as it gave me the incentive to dig deeper for those who are math challenged, like myself.
Hope this helps, Jim.