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About Scotto
Expertise
Any kind of mathematics (calculus, analysis, game theory, linear approximation, finite differences, linear regression, linear programming, numerical analysis, probability, statistics, etc.). I also have answered some questions in Physics (mass, momentum, falling bodies), Chemistry (charge, reactions, symbols, molecules), and Biology.

Experience
Experience in the area: I have tutored students in all areas of mathematics for over 20 years. Education/Credentials: BSand MS in Mathematics from Oregon State University, where I completed sophomore course in Physics and Chemistry. I received both degrees with high honors. Awards and Honors: I have passed Actuarial tests 100, 110, and 135.

Publications
Maybe not a publication, but I have respond to well oveer 3000 questions on the PC. That's around 2,000 in basic math and 1,000 in advanced math.

Education/Credentials
I aquired well over 40 hours of upper division courses. This was well over the number that were required. I graduated with honors in both my BS and MS degree from Oregon State University. I was allowed to jump into a few junior level courses my sophomore year.

Awards and Honors
I have been nominated as the expert of the month several times. All of my scores right now are at least a 9.8 average (out of 10).

Past/Present Clients
My past clients have been students at OSU, students at the college in South Seattle, referals from a company, friends and aquantenances, people from my church, and people like you.

 
   

You are here:  Experts > Teens > Homework/Study Tips > Calculus > Tornadoes as minimum volume and surface area problems

Calculus - Tornadoes as minimum volume and surface area problems


Expert: Scotto - 7/7/2009

Question
QUESTION: In response, I might mention that when I tried to obtain an answer in which both surface area and volume are equated to the Euler equation and then solved I obtain the average of the sums of funnel and cone. This makes sense since a variation of cones and funnels are obtained in a myriad of outcomes. Also, the cloud structure known as the mesocyclone appears to be a unique configuration of what appears to be a hyperboloid of one sheet which has as its volume  piabH[1+1/3(H^2/c^2)] which when viewed closely is the sum of cylinder plus cone and a residual portion,H^2/c^2, which when equals one leaves only the sum of cone and cylinder. Something to ponder,anyway! Thanks for your answer just teh same!

ANSWER: Your welcome.

Now since this wasn't marked as Private,
other mathematicians are wondering what you're talking about.

They will probably send a notice about being unable to decipher
it...


---------- FOLLOW-UP ----------

QUESTION: I get the impression that you are not aware of the mesocyclone cloud structure. It is a very distinct cloud form and that unique cloud form which I suggest is a hyperboloid of one sheet configuration might provide the means of inducing a minimum volume which consists of cone and cylinder.

Answer
That is correct - I mostly deal with mathematics.
Math is what I know and what I use.

I tried to think of how math relates to a tornado,
though I have never heard of a megacyclone cloud.
The only types of clouds that I have read about are
stratus, cumulus, nimbus, and combinations of them.


About the problem, that seems correct to say that it is close to a hyperboloid at the top and a cone at the bottom.  The structure of these will vary by just a bit do to the weather around them.

Most occurences in nature follow the path of least resistance.
What generates most of the effects we see are that a lot of the forces in nature don't have the same goal as the others.

Like the ocean wants to follow the moon.  Trouble is, there is land in the way.  That is where the tides come from.  Or the tectonic plates of the earth want to slowly move.  Trouble is, there is a lot of friction and so we have earthquakes.


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