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From: Peter Osman <rebyl_kayak_at_hotmail.com>
subject: [Paddlewise] Wave Speed - (totally trivial question!)
Date: Sat, 08 Apr 2000 04:32:37 GMT
G'Day,

Can anyone tell me if all (sea) waves travel at roughly the same hoizontal 
speed (relative to the current of course). I've been trying to observe if 
this is the case for some time and am coming to the conclusion that they do 
but am not sure if they speed up when approaching shore?

All the best, PeterO

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From: Dave Kruger <dkruger_at_pacifier.com>
subject: Re: [Paddlewise] Wave Speed - (totally trivial question!)
Date: Fri, 07 Apr 2000 23:51:23 -0700
Peter Osman wrote:

> Can anyone tell me if all (sea) waves travel at roughly the same hoizontal
> speed (relative to the current of course). I've been trying to observe if
> this is the case for some time and am coming to the conclusion that they do
> but am not sure if they speed up when approaching shore?

[The following is based on Bascom's "Waves and Beaches," 1980 edition, pages
32-34 and 69-73.]

The answer to your question depends on whether you are dealing with "deep water
waves," or "shallow water waves."

For waves in "deep water" -- water so deep the waves do not "feel" the bottom
(depth is greater than half the wavelength), the translational velocity is
proportional to the square root of the length, and directly proportional to the
period.

This means that swell in deep water running with a 12-second gap between crests
will travel twice as fast as swell with a 6-second period, for "ideal" waves. 
Real waves will be close to this.

When these same waves approach shore, however (the depth is less than half the
wavelength), where we are more likely to be paddling, they become "shallow
water waves," whose translational velocity is essentially **independent** of
period (and hence wavelength).  In "shallow water," their speed is proportional
to the square root of the depth of the water, and does not depend (much) on
their period or wavelength.

This means that the 14-second swell and the 7-second swell will approach the
surf zone with essentially the same speed.  NOTE that these period values will
change some as the waves steepen up as they reach shallow water and begin to
"peak up" preparatory to breaking in the surf zone. 

Some wave velocities, as a function of period:  6 seconds (21 miles/hr); 12
seconds (42 miles/hr); and [the longest period swell ever recorded] 22.5
seconds (78 miles/hr!!).  All these are for "deep water."  But, even the
6-second swell has to be in at least 92 feet of water to be a "deep water
wave."  The 12-second swell needs 369 feet of depth!

My apologies if this is more than you wanted to know.  <g>

-- 
Dave Kruger
Astoria, OR
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From: Robert C. Cline <rccline_at_swbell.net>
subject: Re: [Paddlewise] Wave Speed - (totally trivial question!)
Date: Sat, 08 Apr 2000 20:42:49 -0500
Dave:

There is an adjective missing here... the translational velocity is
directly, or indirecdtly proportional to the sq.rt. of the length?

Robert

> From: Dave Kruger <dkruger_at_pacifier.com>
> Date: Fri, 07 Apr 2000 23:51:23 -0700
> To: PaddleWise <PaddleWise_at_lists.intelenet.net>
> Subject: Re: [Paddlewise] Wave Speed - (totally trivial question!)
> 
> For waves in "deep water" -- water so deep the waves do not "feel" the bottom
> (depth is greater than half the wavelength), the translational velocity is
> proportional to the square root of the length, and directly proportional to
> the
> period.

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From: Dave Kruger <dkruger_at_pacifier.com>
subject: Re: [Paddlewise] Wave Speed - (totally trivial question!)
Date: Sat, 08 Apr 2000 20:14:09 -0700
"Robert C. Cline" wrote:
 
> There is an adjective missing here... the translational velocity is
> directly, or indirecdtly proportional to the sq.rt. of the length?

Sharp eyes, Robert -- thanks for spotting the omission -- should be
**directly** proportional to the sq. rt. of the length.  I inserted the
additional "directly" in your quote below -- that's what I should have written.

> > From: Dave Kruger <dkruger_at_pacifier.com>
> > Date: Fri, 07 Apr 2000 23:51:23 -0700
> > To: PaddleWise <PaddleWise_at_lists.intelenet.net>
> > Subject: Re: [Paddlewise] Wave Speed - (totally trivial question!)
> >
> > For waves in "deep water" -- water so deep the waves do not "feel" the 
> > bottom (depth is greater than half the wavelength), the translational
> > velocity is [directly] proportional to the square root of the length,
> > and directly proportional to the period.

-- 
Dave Kruger
Astoria, OR
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From: Christine Allison <sailnut_at_asan.com>
subject: Re: [Paddlewise] Wave Speed - (totally trivial question!)
Date: Sun, 9 Apr 2000 08:13:18 -0400
They don't travel.  It's an up and down rotating motion.  A molecule of
water is not displaced horizontally to any great extent.

Richard Smith

----- Original Message -----
From: Peter Osman <rebyl_kayak_at_hotmail.com>
To: <PaddleWise_at_lists.intelenet.net>
Sent: Saturday, April 08, 2000 12:32 AM
Subject: [Paddlewise] Wave Speed - (totally trivial question!)


> G'Day,
>
> Can anyone tell me if all (sea) waves travel at roughly the same hoizontal
> speed (relative to the current of course). I've been trying to observe if
> this is the case for some time and am coming to the conclusion that they
do
> but am not sure if they speed up when approaching shore?
>
> All the best, PeterO
>
>
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> to be reproduced outside PaddleWise without author's permission
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>
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>

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From: 735769 <735769_at_ican.net>
subject: Re: [Paddlewise] Wave Speed - (totally trivial question!)
Date: Sun, 9 Apr 2000 19:01:21 -0400
Richard wrote;

> They don't travel.  It's an up and down rotating motion.  A molecule of
> water is not displaced horizontally to any great extent.

Waves do experience translational motion or "travel" as it were.  The water.
however, moves in what we call general motion (i.e. translational and
rotational) even though the translational aspect may not amount to much.

The rather neat thing about waves it that they do travel for if they didn't,
I would not hear my wife announcing that coffee and pie is ready and I have
to stop mucking about on the Internet.

Cheers,

John Winters
Redwing Designs
Web site address, http://home.ican.net/~735769





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From: Christine Allison <sailnut_at_asan.com>
subject: Re: [Paddlewise] Wave Speed - (totally trivial question!)
Date: Sun, 9 Apr 2000 20:49:46 -0400
This is EXACTLY what I was trying to say!!!

Richard G. Smith

----- Original Message -----
From: 735769 <735769_at_ican.net>
To: <PaddleWise_at_lists.intelenet.net>
Sent: Sunday, April 09, 2000 7:01 PM
Subject: Re: [Paddlewise] Wave Speed - (totally trivial question!)


> Richard wrote;
>
> > They don't travel.  It's an up and down rotating motion.  A molecule of
> > water is not displaced horizontally to any great extent.
>
> Waves do experience translational motion or "travel" as it were.  The
water.
> however, moves in what we call general motion (i.e. translational and
> rotational) even though the translational aspect may not amount to much.
>
> The rather neat thing about waves it that they do travel for if they
didn't,
> I would not hear my wife announcing that coffee and pie is ready and I
have
> to stop mucking about on the Internet.
>
> Cheers,
>
> John Winters
> Redwing Designs
> Web site address, http://home.ican.net/~735769
>
>
>
>
>
>
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not
> to be reproduced outside PaddleWise without author's permission
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>

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From: Allan and Joyce Singleton <alsjfs_at_voyager.co.nz>
subject: Re: [Paddlewise] Wave Speed - (totally trivial question!)
Date: Mon, 10 Apr 2000 16:51:07 +1200
From: Peter Osman

>
> Can anyone tell me if all (sea) waves travel at roughly the same
horizontal
> speed (relative to the current of course). I've been trying to observe if
> this is the case for some time and am coming to the conclusion that they
do
> but am not sure if they speed up when approaching shore?
>

I knew that I had this written down on a card somewhere, and have finally
found it (reference unknown):

"For waves in water deeper than half the wavelength,

    Period (secs)  Wavelength (metres)   Speed (knots)
        4                         25                                12
        5                         39                                15
        6                         56                                18
        7                         76                                21
        8                       100                                24
        9                       126                                27
      10                       156                                30
      11                       189                                33
      12                       225                                36

So Wavelength equals 1.56 times the square of the Period,

and Speed in knots is three times the Period in seconds.

When the depth is less than half the wavelength, the length decreases, the
height increases and the period remains the same (i.e. the wave goes
slower). At a depth of one tenth the deep water wavelength the height
increase is marked, the wave is unstable and ready to break."

So you can sit out at sea bobbing up and down and time the period (easy
enough). Working out the wavelength might be more than you want to attempt,
but multiplying the period by three to get the speed is not too difficult.

Then you can turn towards the shore and see if you can paddle at wave speed!


Allan Singleton
Hamilton NZ

And I hope the table formatting survives.






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