Polymatroid: Difference between revisions

From formulasearchengine
Jump to navigation Jump to search
en>AK456
 
en>Anonash
Changed the definitions a bit
Line 1: Line 1:
Hello. Allow me introduce the author. Her name is Refugia Shryock. Bookkeeping is my profession. It's not a typical thing but what she likes performing is base leaping and now she is trying to make cash with it. Minnesota is where he's been residing for years.<br><br>My web blog :: [http://xrambo.com/blog/191590 home std test kit]
The '''Universal Rule''' determined a [[yacht]]'s eligibility to race in the [[America's Cup]] from 1914 to 1937. Boats built according to the rule reached their peak in the large [[J-class yacht]]s.
Before 1914, the [[Seawanhaka Corinthian Yacht Club|Seawanhaka Rule]] was used, and after 1937 smaller boats were desirable, and so the [[International Rule (sailing)|International Rule]] regained its popularity and became the standard. The 6, 8 and 12 Metre Classes were the most popular and the latter was used for the America's Cup until 1987, the last year the America's Cup was sailed in 12-meter yachts.
 
[[Naval architecture|Yacht designer]] [[Nathanael Herreshoff]] devised the rule in 1903. Herreshoff had designed winning America's Cup yachts which fully exploited the Seawanhaka rule, which was based only on a yacht's waterline length and sail area, to create narrow boats with long overhangs. This reached its peak with ''[[Reliance (yacht)|Reliance]]'', the defender of the 1903 America's Cup, which was described as a "racing freak", suitable only for certain conditions. This prompted Herreshoff to propose a rule which also took into account the displacement of the boat.<ref>[http://www.universalrule.com/index.php?page=3 universalrule.com ''History of the Universal Rule of Measurement'']</ref>
 
==Universal Rule formula==
Mathematically, the '''Universal Rule''' formula was: <math>R=\frac {0.2 \cdot L \cdot \sqrt{S}} {\sqrt[3]{D}}</math><ref>{{cite book|title=Elements of Yacht Design|author=Norman L. Skene|year=1904|publisher=The Rudder publishing company|url=http://books.google.com/books?id=V8TFHPwbgNgC&pg=PA146|page=146 | isbn=978-1-57409-134-2}}</ref>
 
Variables:
*'''L''' - Boat length
*'''S''' - Sail area
*'''D''' - Displacement
*'''R''' - Rating
 
The numerator contains a yacht's speed-giving elements, length and sail area, while the retarding quantity of displacement is in the denominator. Also the result will be dimensionally correct; R will be a linear unit of length (such as feet or meters). Sailing craft are thus rated when their <math>R</math> rating falls within a certain range. J-Class boats, for example, are any single masted craft with an <math>R</math> between 65 and 76 feet.
 
The listing for single mast boats, namely classes I through S.
*Class I: Rating = 76- 88 feet
*Class J: Rating = 65 - 76 feet
*Class K: Rating = 55 - 65 feet
*Class L: Rating = 46 - 55 feet
*Class M: Rating = 38 - 46 feet
*Class N: Rating = 31 - 38 feet
*Class P: Rating = 25 - 31 feet
*Class Q: Rating = 20 - 25 feet
*Class R: Rating = 17- 20 feet
*Class S: Rating = 0 - 17 feet
 
There were multi-mast classes too, running Class A to Class H.
 
<references/>
 
{{Yacht handicapping rules}}
 
[[Category:Sailing rules and handicapping]]

Revision as of 23:42, 10 April 2013

The Universal Rule determined a yacht's eligibility to race in the America's Cup from 1914 to 1937. Boats built according to the rule reached their peak in the large J-class yachts. Before 1914, the Seawanhaka Rule was used, and after 1937 smaller boats were desirable, and so the International Rule regained its popularity and became the standard. The 6, 8 and 12 Metre Classes were the most popular and the latter was used for the America's Cup until 1987, the last year the America's Cup was sailed in 12-meter yachts.

Yacht designer Nathanael Herreshoff devised the rule in 1903. Herreshoff had designed winning America's Cup yachts which fully exploited the Seawanhaka rule, which was based only on a yacht's waterline length and sail area, to create narrow boats with long overhangs. This reached its peak with Reliance, the defender of the 1903 America's Cup, which was described as a "racing freak", suitable only for certain conditions. This prompted Herreshoff to propose a rule which also took into account the displacement of the boat.[1]

Universal Rule formula

Mathematically, the Universal Rule formula was: R=0.2LSD3[2]

Variables:

  • L - Boat length
  • S - Sail area
  • D - Displacement
  • R - Rating

The numerator contains a yacht's speed-giving elements, length and sail area, while the retarding quantity of displacement is in the denominator. Also the result will be dimensionally correct; R will be a linear unit of length (such as feet or meters). Sailing craft are thus rated when their R rating falls within a certain range. J-Class boats, for example, are any single masted craft with an R between 65 and 76 feet.

The listing for single mast boats, namely classes I through S.

  • Class I: Rating = 76- 88 feet
  • Class J: Rating = 65 - 76 feet
  • Class K: Rating = 55 - 65 feet
  • Class L: Rating = 46 - 55 feet
  • Class M: Rating = 38 - 46 feet
  • Class N: Rating = 31 - 38 feet
  • Class P: Rating = 25 - 31 feet
  • Class Q: Rating = 20 - 25 feet
  • Class R: Rating = 17- 20 feet
  • Class S: Rating = 0 - 17 feet

There were multi-mast classes too, running Class A to Class H.

  1. universalrule.com History of the Universal Rule of Measurement
  2. 20 year-old Real Estate Agent Rusty from Saint-Paul, has hobbies and interests which includes monopoly, property developers in singapore and poker. Will soon undertake a contiki trip that may include going to the Lower Valley of the Omo.

    My blog: http://www.primaboinca.com/view_profile.php?userid=5889534

Template:Yacht handicapping rules