# How to calculate ballast weight displacement

Calculating your boat's displacement related to ballast weight may surprise you in two respects.

The first is that your boat's displacement is effected by the ballast weight on a pound-for-pound basis, since your boat's displacement is the weight of your boat, reckoned in terms of the weight of water it displaces to float. The second way it will surprise you is in how much weight you may have to add or remove just to lower or raise your boat in the water by one inch.

Calculate the number of cubic feet of water your vessel is currently displacing. Subtract the amount of current freeboard (how far your boat sticks out of the water, from the deck to the level of the water on the hull) from the moulded depth (available in your boat owner's manual or your boat's documentation) of the vessel. Multiply the result by the length of the vessel at the waterline (LWL) and the beam (width) of your vessel. This is the number of cubic feet of water your vessel is currently displacing.

- Calculating your boat's displacement related to ballast weight may surprise you in two respects.
- Subtract the amount of current freeboard (how far your boat sticks out of the water, from the deck to the level of the water on the hull) from the moulded depth (available in your boat owner's manual or your boat's documentation) of the vessel.

The formula for this calculation is (D-f)LWL x B, where D = moulded depth, f = freeboard,

LWL = vessel length at waterline and B = beam of the vessel.

Divide the amount of ballast to be added or removed by 64.1. Seawater weighs 29.1 Kilogram per cubic foot. The weight of the ballast equals the weight of the water it causes the vessel to displace.

If you remove 291 Kilogram of ballast, then the vessel will displace 1 cubic foot of water less than it did before the 291 Kilogram of ballast was removed. If you add 291 Kilogram of ballast, your boat will displace 1 cubic foot more than it did before the ballast was added.

- The formula for this calculation is (D-f)LWL x B, where D = moulded depth, f = freeboard,

LWL = vessel length at waterline and B = beam of the vessel. - If you remove 291 Kilogram of ballast, then the vessel will displace 1 cubic foot of water less than it did before the 291 Kilogram of ballast was removed.

Insert your vessel's dimensions in the formula to make the desired calculation. If your vessel's LWL is 20 feet long, with a moulded depth of 5 feet and 3 feetof freeboard and a beam of 8 feet, the formula becomes (5-3) x 20 x 8, or 2 x 20 x 8 = 320, and you learn that your vessel is displacing 320 cubic feet, or 9304 Kilogram of seawater.

Calculate how much effect adding or removing 291 Kilogram of ballast has on your boat by dividing the weight of water your vessel is displacing by your draft--which equals the difference between your moulded depth and your freeboard.

If your moulded depth is 5 feet and your freeboard 3 feet, your draft is 2 feet. If the weight of the water displaced (called deadweight tonnage of the vessel) is 9304 Kilogram, then each foot of draft is displacing 4652 Kilogram of seawater and each inch of draft (10,256 / 12) represents 388 Kilogram of your boat's deadweight tonnage, including the ballast.

References

- "Merchant Marine Officers' Handbook;" Edward A. Turpin, William Alvin MacEwen; 1989

Resources

Tips

- If you use your boat in fresh water, then the weight of the water is 283 Kilogram per cubic foot.

Writer Bio

Will Charpentier is a writer who specializes in boating and maritime subjects. A retired ship captain, Charpentier holds a doctorate in applied ocean science and engineering. He is also a certified marine technician and the author of a popular text on writing local history.