Not disagreeing with the conclusion that it won't make any real difference, but where did those numbers come from? SA had a rather involved discussion about that and I never saw any concensus on how to calculate that even remotely accuratly
This formula was suggested, but never explained or cited where it came from.
http://forums.sailinganarchy.com/index.php?showtopic=118735&#entry3164005
It is a function of the moment of inertia and the roll period. It is still implicit formula. Emperical evidence seems to support it.
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MOMENT OF INERTIA (I) = disp^1.744/35.5[/SIZE][/FONT]
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An empirical term developed by SNAME. Large values resist rolling forces. The moment of inertia is very sensitive to the [/SIZE][/FONT][FONT=Times New Roman,sans-serif][SIZE=-1]
distance items are from the CG. A heavy rig can greatly increase I, with little impact on displacement.[/SIZE][/FONT]
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ROLL PERIOD (T) = 2*PI*(I/(82.43*lwl*(.82*beam)^3))^.5[/SIZE][/FONT]
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The roll period is based on the moment of inertia. The term ".82*beam" has been substituted for the waterline beam due to [/SIZE][/FONT][FONT=Times New Roman,sans-serif][SIZE=-1]
lack of data. Using ".82" results in a close match for the few boats with measured periods, but more data is needed (If you [/SIZE][/FONT][FONT=Times New Roman,sans-serif][SIZE=-1]
have measured roll data, email it to me and I[/SIZE][/FONT][FONT=Times New Roman,sans-serif][SIZE=-1]
’[/SIZE][/FONT][FONT=Times New Roman,sans-serif][SIZE=-1]
ll include it in my data base). Simply stated, a sailboat[/SIZE][/FONT][FONT=Times New Roman,sans-serif][SIZE=-1]
’[/SIZE][/FONT][FONT=Times New Roman,sans-serif][SIZE=-1]
s roll period, in [/SIZE][/FONT][FONT=Times New Roman,sans-serif][SIZE=-1]
seconds, is inversely proportional to its stability. Unstable boats have long periods, stable boats have short periods. The [/SIZE][/FONT][FONT=Times New Roman,sans-serif][SIZE=-1]
roll period is very easy to determine, you simply grab a shroud and push / pull until the boat is rocking over a few degrees. [/SIZE][/FONT][FONT=Times New Roman,sans-serif][SIZE=-1]
Then count the number of full cycles in one minute, and divide into 60. The general rule of thumb is that boats with [/SIZE][/FONT][FONT=Times New Roman,sans-serif][SIZE=-1]
periods less than 4 seconds are stiff and periods greater than 8 seconds are tender. The template value of 4.05 is near the [/SIZE][/FONT][FONT=Times New Roman,sans-serif][SIZE=-1]
stiff end of the range, indicating good static stability.[/SIZE][/FONT]
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STABILITY INDEX = T / (beam*.3048)[/SIZE][/FONT]
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This is another empirical term relating period and beam to stability. Values less than 1.0 are considered stiff. Values [/SIZE][/FONT][FONT=Times New Roman,sans-serif][SIZE=-1]
greater than 1.5 are considered tender. I like this technique because its simple, and includes the hull form, the center of [/SIZE][/FONT][FONT=Times New Roman,sans-serif][SIZE=-1]
gravity, and the roll moment of inertia, all in one easy to use package. The template boat again leans towards the stiff side, [/SIZE][/FONT][FONT=Times New Roman,sans-serif][SIZE=-1]
with a value of 1.1.[/SIZE][/FONT]
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[FONT=Times New Roman,sans-serif][SIZE=-1]In summary, all cruising boats use a combination of CG control, form stability, and displacement to determine static [/SIZE][/FONT][FONT=Times New Roman,sans-serif][SIZE=-1]stability. This value is then used to size the sail area so that a generous amount of capsize resistance exists under full sail [/SIZE][/FONT][FONT=Times New Roman,sans-serif][SIZE=-1]and moderate wind conditions. This is a delicate part of a boat design. Too much sail area will require early reefing or high [/SIZE][/FONT][FONT=Times New Roman,sans-serif][SIZE=-1]heel angles, to little and the boat will be a slug in light air. Dynamic stability is also important and closely related to the [/SIZE][/FONT][FONT=Times New Roman,sans-serif][SIZE=-1]moment of inertia. A high moment of inertia helps survival in heavy weather. The roll period of a boat blends elements of [/SIZE][/FONT][FONT=Times New Roman,sans-serif][SIZE=-1]static and dynamic stability and can be useful when comparing potential cruising boats.[/SIZE][/FONT]
[FONT=Times New Roman,sans-serif][SIZE=-1]While many other factors must go into selecting your ideal cruising boat, following the basic Stability Template is a [FONT=Times New Roman,sans-serif][SIZE=-1]good first step. The designs from these nine world class cruising boat designers have logged a great many sea miles. If [/SIZE][/FONT][FONT=Times New Roman,sans-serif][SIZE=-1]your boat is similar, you can have confidence that it has at least some of the right stuff with regard to static and dynamic [/SIZE][/FONT][FONT=Times New Roman,sans-serif][SIZE=-1]stability.[/SIZE][/FONT][/SIZE][/FONT]
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This was published in a article on estimating boat stability in JohnsBoatStuff.com which went offline about a year ago. [FONT=Times New Roman,sans-serif]
http://www.johnsboatstuff.com/Articles/estimati.htm. John more than likely got his information from the master; C.A. Marchaj. See his books - SEAWORTHINESS: THE FORGOTTEN FACTOR, chapter 4, "Boat Motions in a Seaway". [/FONT]
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I have two of his books: (http://www.amazon.com/Seaworthiness-Forgotten-C-A-Marchaj/dp/1888671092/ref=ntt_at_ep_dpt_2) and (http://www.amazon.com/Sailing-Theory-Practice-Czeslaw-Marchaj/dp/0396084281/ref=pd_sim_b_1).[/FONT]
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I happened to make a copy of it before it went off-line by printing it to .xps (like adobe's PDF but MicroSoft's taken on it).[/FONT]