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From: <skylakeboatworks_at_yahoo.com>
subject: [Paddlewise] Kayak + Pitch = Volume?
Date: Sun, 18 Feb 2001 19:17:50 -0600
Crazy question:

I was working on my kayak.  The music was on.  Loud.  I was singing.  (Good
thing there was no one around.) I noticed that my kayak resonated to a
sympathetic pitch.  I hummed into the fore hatch and it resonates back.  I
hummed into the aft hatch and it resonated back at a different frequency. Is
it possible to determine the volume of a space by the resonating frequency?
(...maybe the polyester resin is getting to me...)

Marvin



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From: Dave Kruger <dkruger_at_pacifier.com>
subject: Re: [Paddlewise] Kayak + Pitch = Volume?
Date: Sun, 18 Feb 2001 17:52:40 -0800
skylakeboatworks_at_yahoo.com wrote:
> 
> Crazy question:
> 
> I was working on my kayak.  The music was on.  Loud.  I was singing.  (Good
> thing there was no one around.) I noticed that my kayak resonated to a
> sympathetic pitch.  I hummed into the fore hatch and it resonates back.  I
> hummed into the aft hatch and it resonated back at a different frequency. Is
> it possible to determine the volume of a space by the resonating frequency?
> (...maybe the polyester resin is getting to me...)

Not easily.  Straightforward mathematical models to relate resonant frequency
to volume exist for tubes of uniform diameter (e.g., organ pipes), but a yak
has a highly variable cross section.  Should be possible to take a
semiempirical approach, though, by measuring the volume of a couple yaks having
similar profile to yours and their resonant frequency.

But, it *is* good to resonate with your yak.  Who knows what sort of synergy
you might generate!

Hmmmm ... not sure what sort of response the ladies would give to the line "...
may I resonate with your kayak?"  I wouldn't try that, Marvin.

-- 
Dave Kruger
Astoria, OR
chemist, but
not normally a kayak resonater
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From: Joe Pylka <pylka_at_castle.net>
subject: Re: [Paddlewise] Kayak + Pitch = Volume?
Date: Mon, 19 Feb 2001 01:28:38 -0500
> . Is
> > it possible to determine the volume of a space by the resonating
frequency?
> > (...maybe the polyester resin is getting to me...)
>
> Not easily.  Straightforward mathematical models to relate resonant
frequency
> to volume exist for tubes of uniform diameter (e.g., organ pipes), but a
yak
> has a highly variable cross section.  Should be possible to take a
> semiempirical approach, though, by measuring the volume of a couple yaks
having
> similar profile to yours and their resonant frequency.

        There's a huge body of studies about this, going back to the 19th
Century.  Strictly speaking it is easier to determine resonant frequency
knowing the volume and other parameters, but the inverse is doable.
        Ever heard of Helmholz Resonators?  Use to be a late 19thC early
20th mechanical method of empirical spectral analysis.  There's also a whole
bunch of stuff by Lord Rayleigh about that same time about this...

>

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