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Boat Displacement Calculator

Estimate your boat's displacement, waterline area, and theoretical hull speed from hull dimensions and type.

About this calculator

This calculator estimates two related but independent things about a boat: how much it weighs (displacement) and how fast its hull can theoretically move through water in displacement mode (hull speed). Displacement comes from multiplying waterline length, beam, and draft into an underwater volume, scaled by a block coefficient that varies with hull type — a heavier, more boxy displacement hull (cruiser or trawler) at roughly 0.55, a semi-displacement hull at 0.45, and a planing hull at 0.35, reflecting how much less underwater volume a hull shaped for speed carries at rest. The block coefficient is calibrated against a boat's main hull body (its 'canoe body'), so draft here means the depth of that body below the waterline — not the full draft of a keeled sailboat, whose fin keel extends well below the canoe body; entering full keel draft for a sailboat can overstate displacement by 2-3x. Hull speed uses the classic displacement-hull speed/length rule, 1.34 times the square root of waterline length in feet — corresponding to a Froude number of about 0.4, not a formula published by William Froude himself — which comes from the physics of the bow and stern wave system a displacement hull generates: past this speed the boat would need to climb its own bow wave, which takes disproportionately more power for each further knot.

Note that hull speed in this calculator depends on waterline length alone — beam and draft affect displacement and waterline area but not the wave-making speed limit. The displacement-to-length (D/L) ratio classifies how heavy the boat is relative to its length, which correlates with motion comfort and load-carrying ability. What this tool does not account for: actual hull shape beyond the simplified block-coefficient model, a keeled sailboat's separate keel volume and weight (use canoe-body draft, as noted above), planing hulls exceeding hull speed under sufficient power (the speed/length limit applies to displacement-mode hulls, not planing hulls above it), or trim and loading changes that shift a boat's actual waterline length in use.

Inputs

ft
ft
ft

Results

Displacement

36,960 lbs

≈ 11 small cars

Hull Speed

7.34 knots

Displacement16.5 long tons
Waterline Area210 sq ft
Displaced Volume577.5 cu ft
D/L Ratio611
Classification (1=ultra-light, 4=heavy)4
How to Use This Calculator
  1. Enter the waterline length (LWL) and beam of your boat in feet.
  2. Enter draft as the depth of the hull's main underwater body (canoe body) below the waterline, not the full keel draft — a keeled sailboat's fin keel extends well below the canoe body and will overstate displacement if entered here.
  3. Select the hull type: displacement cruiser, semi-displacement, or planing.
  4. Review the displacement in pounds and long tons — important for loading calculations.
  5. Check hull speed (knots) to understand your boat's theoretical maximum speed under power.
  6. Use the D/L ratio and hull classification to compare against similar vessels.

How the result changes with Waterline Length

Waterline LengthDisplacementHull Speed
1518,480 lbs5.19 knots
2328,336 lbs6.43 knots
4555,440 lbs8.99 knots
7592,400 lbs11.6 knots

What each input means

Waterline Length
Length at the waterline (LWL) in feet.
Beam (Width)
Maximum beam (width) of the hull in feet.
Draft
Depth of the hull's main underwater body (canoe body) below the waterline, in feet — NOT total keel draft. For a keeled sailboat, entering the full fin-keel draft instead of the shallower canoe-body depth overstates displacement by roughly 2-3x.
Hull Type
Hull design type affects displacement estimates.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Waterline Length = 30, Beam (Width) = 10, Draft = 3.5, Hull Type = 1 = 4 input(s) provided
  2. Calculate Displacement
    Displacement
    36960 = 36960
  3. Calculate Hull Speed
    Hull Speed
    7.34 = 7.34
  4. Calculate Displacement
    Displacement
    16.5 = 16.5
  5. Calculate Waterline Area
    Waterline Area
    210 = 210

Engine last updated . Checked against 1 independently-derived test — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Why doesn't beam or draft affect the hull speed number?

Hull speed is derived from the displacement-hull speed/length rule, 1.34 times the square root of waterline length, which models the physics of the bow-and-stern wave pattern a hull generates as it moves — a pattern whose wavelength is set by length, not by beam or draft. Beam and draft do change displacement and waterline area, but in this formula they don't enter the hull speed calculation at all.

What's the practical meaning of hull speed for a displacement boat?

Hull speed is the approximate point at which a displacement-mode hull is trying to climb over its own bow wave, and pushing past it requires a steep, inefficient jump in power for each additional knot of speed. It's a soft physical limit rather than a hard wall — many trawlers and sailboats simply never try to exceed it, cruising instead at 80-90% of hull speed for fuel efficiency.

Why does hull type change the displacement estimate for the same dimensions?

Hull type sets the block coefficient, which represents how much of the length-times-beam-times-draft 'box' the actual underwater hull volume fills. A full-bodied displacement cruiser hull (coefficient 0.55) carries substantially more underwater volume — and therefore more displacement weight — than a planing hull (coefficient 0.35) with the same outer length, beam, and draft, because planing hulls are shaped with flatter, shallower sections designed to lift onto the water's surface rather than push through it.

Can a planing boat actually go faster than its calculated hull speed?

Yes — the hull speed formula describes the wave-making limit for a displacement-mode hull pushing through the water, but a planing hull with enough power rises up and skims across the surface instead, escaping that wave-making limit entirely. This calculator's hull speed figure is most meaningful for displacement and semi-displacement hulls; a true planing boat's top speed is governed by power-to-weight ratio, not this formula.

Why does entering my sailboat's full keel draft overstate its displacement?

The block coefficient this calculator uses is calibrated against a boat's canoe body — the main hull shape — not a fin keel bolted or molded beneath it. A keeled sailboat's total draft can be 2-3x its canoe-body depth, and feeding that full figure into a formula calibrated for canoe-body draft inflates the computed underwater 'box' volume by roughly that same factor. Use the depth of the hull's main body below the waterline instead, excluding the keel, for a realistic displacement estimate.

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