On Jan 15, 10:27 pm, Timberwoof
timberwoof.s...@inferNOnoSPAMsoft.com> wrote:
In article
08e77e00-9e7a-49af-aa37-d315ecf68...@l1g2000hsa.googlegroups.com>,
Weatherlawyer <Weatherlaw...@hotmail.com> wrote:
Frequency or pitch can be derived from, or related to, the square root
of the tension, the square of its diameter and the inverse of the
length of the vibrating material.
If you're talking about a string ...and you left out the mass. What's
the formula relating the length of a closed-ended or open-ended pipe to
its pitch?
There is no reason to believe the same cannot be applied to the
physics of seismology. (If such in fact is not already the case.)
Except perhaps that rocks aren't configured like strings.
Bernard Chouet did some work on the frequencies of seismic waves,
bringing to the attention of his peers that there is a relationship in
the change of frequencies prior to disturbances. And that such pitches
could be used to identify what seismic reactions were most likely.
The resonant frequency of any vibrating body is related to the stress it
is under, whether that stress is tension, torsion, flexion, or
compression. We (some of us, at any rate) already know that earthquakes
release energy that is previously built up. That energy is stored as
compression of rocks. As they are more compressed, their resonant
frequencies would increase and their reaction to passing seismic waves
would change.
Marin Mersenne, an early advocate of Open Source, proposed that as
many as five different notes could be plucked at the same time on an
open string of a musical instrument.
This has to do with harmonic modes of vibration.
Obviously he was not referring to a carillon as such bells use ropes,
not strings.
Haw, haw!
The bell in Santa Fe has two notes. The caribbean percussion instruments
made from oil drums have many notes.
*******
Tension.
It is difficult to imagine that plates of a soft material such as
earth -especially such materials as earth near the point of
liquefaction, can produce any (never mind much) tension.
You mean material soft like granite or basalt?
So what might be the material that is in tension? Solid rock strata
perhaps? Pressurised vessels such as caverns filled with superheated
water, steam or magma?
Thus giving us a likely subject whose diameter might be measured. And
so too, its length.
You're barking up the wrong tree here.
I believe the equation for pitch is:
The square root of the tension divided by the product of the square of
its diameter and the inverse of the length.
Let's look at this algebraically. (It's clear you didn't.)
P = k * sqrt(T) / ( D^2 * 1/L)
P = k * sqrt(T) * L / D^2
In other words, you believe that pitch increases with tension, decreases
with string diameter, and increases with length. I believe you're wrong.
I seem to recall that the longer strings of a harp make the lower
pitches. Maybe you could actually look up the equation in Wikipedia
instead of believing you've got it right and not checking your results.
And which if applied to the vibrating material, will give us a
mechanism for measuring the earth. Or a substantial portion of it,
perhaps.
There's already such a mechanism: seismometers.
If only we had a little more than the frequency to go on.
Perhaps such things as an understanding of the vibrational modes of a
sphere?
Such is the dark art though, that after all these billions of dollars
spent on it, all we have is an inkling of the frequencies.
I look at it this way: Such is the pity that, after all these billions
spent on it, all *you* have is a mistaken inkling of what's going on.
You seem to think that people know only as much as you do ... and you've
demonstrated you don't know much.
Except that, thanks to Mersenne, we can guess the length of the string
by the number of the the frequencies involved, provided only that we
can locate all the right frequencies.
The first step would be to abandon the string model. The second step
would be to actually examine seismic waves. Instead of philosophizing
about them, you could measure them.
Why are you babbling instead of measuring?
--
Timberwoof <me at timberwoof dot com>http://www.timberwoof.com
"When you post sewage, don't blame others for
emptying chamber pots in your direction." ‹Chris L.
Hi Timberwoof,
Thanks for your comments, except this one:
I look at it this way: Such is the pity that, after all these
billions
spent on it, all *you* have is a mistaken inkling of what's going on.
You seem to think that people know only as much as you do ... and
you've
demonstrated you don't know much.
I've said it a thousand times and I'll say it 1001, we have lost the
art of conversation and it's nice to have someone add something to
explain it better or more comprehensively, but it doesn't have to come
across as bashing someone in doing so. Just think, your contribution
made a difference for probably quite a few, but you wouldn't have ever
made the contribution if Michael hadn't submitted his offering. A
little give and take is a good thing.