Boneyard Tools

Hull Speed Calculator

Work out the theoretical hull speed of a displacement boat from a single measurement, its waterline length. The calculator applies the classic 1.34 times the square root of the waterline length in feet and shows the answer in knots, statute mph and km/h side by side. It is the natural speed ceiling a heavy hull fights against, not a hard wall, so treat it as a strong estimate.

How to calculate hull speed

  1. Measure your boat's waterline length (LWL) in feet, not the length overall.
  2. Type that number into the waterline length field.
  3. Watch the formula line confirm speed equals 1.34 times the square root of LWL.
  4. Read the hull speed from the knots, mph and km/h cards.
  5. Use the copy button to save the three-unit result as text.

Examples

A 25 ft waterline cruising sailboat

Waterline length 25 ft
6.7 knots (7.71 mph, 12.41 km/h)

A 36 ft waterline yacht

Waterline length 36 ft
8.04 knots (9.25 mph, 14.89 km/h)

A 16 ft waterline dinghy or launch

Waterline length 16 ft
5.36 knots (6.17 mph, 9.93 km/h)

Frequently asked questions

What is hull speed?

Hull speed is the theoretical top speed of a displacement hull, set by the wave the hull itself makes. As the boat speeds up, its bow and stern waves lengthen until they span the whole waterline, and the boat settles into the trough between them, which sharply resists going faster.

What formula does this use?

It uses the traditional relation speed in knots equals 1.34 times the square root of the waterline length in feet. So a 25 foot waterline gives 1.34 times 5, which is 6.7 knots. Longer waterlines raise the ceiling, but only with the square root, so the gains taper off.

How are mph and km/h worked out?

The knots figure is converted directly, multiplied by 1.150779 for statute miles per hour and by 1.852 for kilometres per hour. At 6.7 knots that is 7.71 mph and 12.41 km/h, shown rounded to two decimals in the result cards.

Should I enter waterline length or overall length?

Enter the waterline length (LWL), the part of the hull actually touching the water, not the length overall (LOA). Only the wetted length makes the wave that governs the speed limit, and bow overhangs and swim platforms do not count.

Can a boat go faster than its hull speed?

Yes. Light planing powerboats and multihulls climb over their own bow wave and leave hull speed behind, and a heavy displacement boat can be pushed past it with a lot of extra power for very little gain. The formula marks an efficiency knee, not an absolute barrier.

Why do some calculators use a number other than 1.34?

The 1.34 coefficient is the long-standing default, but naval architects use anywhere from about 1.1 for a full, heavy hull to 1.5 or more for a slim, easily driven one. This tool fixes the coefficient at 1.34, so read the answer as a representative estimate rather than a figure tuned to your exact hull.

Does this account for weight, sail area or waves?

No. It depends only on waterline length. Displacement, sail area, engine power, sea state and hull fineness all shift real-world speed, so use this as a baseline and expect actual performance to vary around it.

What units does the input expect?

The waterline length is entered in feet. If your figure is in metres, multiply by 3.28084 first, since the 1.34 coefficient is calibrated for feet and knots and will not give the right answer with metres.

Is my input sent anywhere?

No. The calculation runs entirely in your browser as you type, so your boat's dimensions stay on your device and nothing is uploaded.

Learn more

Related tools