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Hull speed (displacement boat) calculator

The theoretical top speed of a displacement-hull boat from its waterline length.

What this calculator does

Hull speed (displacement boat) works out the theoretical top speed of a displacement-hull boat from its waterline length. Enter your own figures above and the answer updates as you type: nothing is fixed in the code, so the result reflects exactly the numbers you supply.

The formula this calculator evaluates is printed under the tool and explained below, so you can check the working by hand or reuse it in a spreadsheet.

The formula

FormulaV = 1.34 × √(waterline length in feet), V in knots

The inputs explained

FieldWhat to enter
Waterline length (ft)A number, measured in ft. Starts at 30.

Worked examples

Every figure in the tables below is produced by this page’s own calculator at build time, so the numbers and the tool always agree. Select any row to load that scenario.

How the answer changes with waterline length

Every other input is held at the calculator’s starting values while waterline length varies. Select any row to load that scenario into the calculator.

How the answer changes with waterline length
Waterline length (ft)Hull speedIn mphIn km/h
155.19 knots5.97 mph9.61 km/h
22.56.36 knots7.31 mph11.77 km/h
307.34 knots8.45 mph13.59 km/h
458.99 knots10.34 mph16.65 km/h
6010.38 knots11.94 mph19.22 km/h
9012.71 knots14.63 mph23.54 km/h