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Sail area-displacement ratio

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Calculation used to estimate how much sail a boat carries relative to its weight

The sail area-displacement ratio (SA/D) is a calculation used to express how much sail a boat carries relative to its weight.

S A / D = S a i l A r e a ( ft 2 ) [ D i s p l a c e m e n t ( lb ) / 64 ] 2 3 = S a i l A r e a ( m 2 ) D i s p l a c e m e n t ( m 3 ) 2 3 {\displaystyle {\mathit {SA/D}}={\frac {{\mathit {SailArea}}({\text{ft}}^{2})}{^{\frac {2}{3}}}}={\frac {{\mathit {SailArea}}({\text{m}}^{2})}{{\mathit {Displacement}}({\text{m}}^{3})^{\frac {2}{3}}}}}


In the first equation, the denominator in pounds is divided by 64 to convert it to cubic feet (because 1 cubic foot of salt water weights 64 pounds). The denominator is taken to the 2/3 power to make the entire metric unit-less (without this, the denominator is in cubic feet, and the numerator is in square feet).

It is an indicator of the performance of a boat. The higher the SA/D, the more lively the boat's sailing performance:

Boat Type SA/D
Motorsailers 13 - 14
Slow auxiliary sailboats 14 - 15
Average offshore cruisers 15 - 16
Coastal cruisers 16 - 17
Racing yachts 17 - 19
Ultra light racers, class racers, daysailers 20+


The SA/D, however, does not provide information about a boat behavior in a storm or upwind. A polar diagram from a velocity prediction program gives a more precise view.

See also

References

  1. Paris, Jay E. (31 May 2018). "Comparing Design Ratios". Sail Magazine. Retrieved 9 July 2020.
  2. McGeary, Jeremy (17 October 2012). "How Sailboats Measure Up". Cruising World. Retrieved 9 July 2020.
  3. Sponberg, Eric W. "The Design Ratios" (PDF). Sponberg Yacht Design Inc. Retrieved 9 July 2020.
  4. Reisberg, Lars. "Sail Area-Displacement Ratio: Skipper´s Basics". No frills sailing. Retrieved 11 July 2020.


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