RE: [PSUBS-MAILIST] Math question:

["Lynn A. Roth" <lynnr@penguin.nu>]

The problem with these shapes is that they aren't really defined...they can
have different dimensions and curves. Because of this, you get to use
calculus to figure it out.
If you know the dimensions and the shape of the curve, then it isn't
extremely hard to figure the volume, but without any actual numbers to
define the shape, it isn't possible to generalize a formula.
If you can give some dimensions, we should be able to figure it out.

Lynn A. Roth


-----Original Message-----
From: owner-personal_submersibles@psubs.org
[mailto:owner-personal_submersibles@psubs.org]On Behalf Of Michael B.
Holt
Sent: Friday, January 26, 2001 12:01 PM
To: PSUBS List
Subject: [PSUBS-MAILIST] Math question:


I'm sitting here looking at the source for my program that calculates
the math for the Civil War McClintock boats.  They were all cylincrical
or conical with a flat side in some places.  Easy to figure.

I'd like to be able to calculate wetted surface and volume for
more complex shapes.  Burcher and Rydill say that the ideal shape
is a "parabolic stern" and an "elliptical bow."  I can't find the
formulae to arrive at those areas and volumes. And a proper
paraboloid does not have pointed a vertex.

Suggestions are hereby solicited.


Mike Holt