[Paddlewise] Stability

From: 735769 <735769_at_ican.net>
Date: Fri, 15 Sep 2000 08:25:26 -0400
I didn't have much time when I wrote my last post on this topic so left out
a lot. Some of you may find this interesting

Most articles about sea kayak stability have a diagram showing a wide kayak
that heels to follow the slope of the wave and a narrow kayak that remains
more upright. The text with the diagram usually suggests that the same
stability that makes a boat feel comfortable in flat water contributes to
capsizing in waves. Unfortunately this often misleads readers.

The water molecules in a non breaking wave travel roughly in circular orbits
around the center of the wave. This results in centrifugal force that, in
conjunction with normal gravitational force produces an apparent
gravitational force acting normal to the wave surface. Some call this the
"local" gravity and I am indebted to Bruce Winterbon for the term "apparent
gravity" which makes more sense to me. The combined forces cause the "shape"
of the wave.

A blindfolded paddler in a boat lying parallel to the wave will not sense
any heeling moment (although they may sense some motion) even though the
wave surface may have a significant slope. This causes a problem for
paddlers. Even though they may sense no heel they perceive heel visually by
observing the horizon. In response they heel the boat into the wave and in
so doing actually create a capsizing moment where none existed. You can test
this phenomenon best by observing a plumb bob against the horizon while
sitting still in a life raft.

I believe that this phenomenon may have contributed to capsizes caused by
what some researchers called "kayak angst" suffered by Inuit who paddled for
long periods of time. The paddler would sense heel visually, correct against
the apparent gravity and capsize. No doubt modern paddlers could have the
same problem.

Once the wave breaks, the situation alters as the rotational motion of the
water molecules changes to translational motion which can cause a capsizing
moment proportional to the righting arm of the boat. Note the term righting
arm rather than righting moment. Righting moment  is the product of the
righting arm and  displacement and acts to orient the boat to the surface.
The righting arm is a function of the boat's shape and center of gravity
without consideration for displacement. Of two boats with the same righting
arm, the heavier will have more stability or righting moment.

This difference between righting arm and righting moment leads to another
interesting and sometimes confusing aspect of stability. Due to the
centrifugal force, the apparent gravitational force varies with location on
the wave. For example, the apparent gravitational force on the trough
exceeds that of the force at the crest. Ocean sailors may have some
familiarity with this for boats heel more on the crests than in the troughs
(more than the variable wind force causes).

I have read some suggestions that, given a large enough and steep enough
wave, that the centrifugal force could counteract all gravitational force
resulting in  no righting moment even while fully upright. This explains the
greater capsize vulnerability of boats in breaking beam seas and why a
strong brace becomes such a useful weapon in avoiding capsize for any boat.

So,  returning to my earlier comment about the diagrams in magazines etc., a
more appropriate diagram would show the two boats in breaking seas  not
smooth seas and the explanation should point out that the increased capsize
moment only applies to breaking seas and/or confusion resulting from horizon
and apparent gravity providing confusing signals to the paddler about her
orientation.

John Winters



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Received on Fri Sep 15 2000 - 09:24:06 PDT

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