razor said:
How would you go about calculating the reduction in heal by adding water ballast to a boat? What are the measurements and variables do I need to understand to make the calculation (distance above waterline, distance from centerline etc..)?
Thank you
You really can't. All you can calculate is how far it moves the ahwartship center of gravity. But this can give you a reasonable estimate of enhanced sail carrying power.
To do this, you need to know two things.
1.) the sailing weight of the boat with all its usual stores and equipment aboard, and
2.) the weight and center of gravity of the water ballast in its assigned place on the boat.
You first add the two weights together (the boat in its usual form plus the new water ballast).
You then multiply the distance that the Center of Gravity of the water ballast is from the centerline of the boat times the wieght of that ballast. This gives you its moment.
Then finally, you divide the the moment of the water ballast by the total weight of the boat.
This merely gives you the amount you have
extended the righting arm of your boat. The original righting arm could be anywhere from 10 to 15% of the boat's over all beam. If your boat is fine ended and deep in section, the number is closer to 10%. If it is full ended (or just has a really wide transom) and shallow section, the number is probably closer to 15%.
Guestimate where your boat lies within these characteristics and you can then further guestimate the actual amount you have increased your sail carrying power.
There are a few things to look out for.
1.) The water ballast should be a small fraction of the boat's fixed ballast. Say, no more than 25%.
2.) The height of the Center of Gravity of the water ballast from the bottom of your hull (not the bottom of the keel) should be no more than half the distance it is from the centerline of your boat. (half as high as it is far).
3.)There should be a means to pump the water ballast over board other than relying on gravity. This is incase it ends up on the low side and your boat is knocked down from the wind. A gravity dump system should be in place as well.
Best of luck.
Bob