Hull Speed Calculator

Calculate the theoretical maximum hull speed of a displacement boat based on waterline length. Hull speed is the speed at which the bow wave wavelength equals the boat length.

HULL SPEED
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Speed (km/h)
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Speed (m/s)
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Froude Number
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Wave Length
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What Is Hull Speed?

Hull speed is the theoretical maximum speed of a displacement vessel, determined by the length of the wave it creates as it moves through water. As a boat accelerates, it creates a bow wave and a stern wave. When the boat reaches hull speed, the wavelength of the bow wave equals the waterline length of the boat, creating a single large wave that the boat essentially sits in. To go faster would require climbing over its own bow wave, which requires exponentially more power.

This concept applies primarily to displacement hulls (sailboats, trawlers, heavy cruisers) rather than planing hulls that can rise up and skim across the water surface. Understanding hull speed helps sailors and boat designers optimize vessel performance and fuel efficiency.

Hull Speed Formula

Hull Speed (knots) = 1.34 × √(Waterline Length in feet)

The constant 1.34 is derived from the relationship between wave speed and wavelength in deep water. In metric units, the formula becomes Hull Speed (knots) = 2.43 x sqrt(LWL in meters). This formula corresponds to a Froude number of approximately 0.4, which represents the practical speed limit for displacement hulls.

Factors Affecting Speed

LWL (feet)Hull Speed (knots)Typical Boat
206.0Daysailer
307.3Coastal cruiser
408.5Offshore yacht
509.5Large cruiser
8012.0Classic schooner
  • Heavier displacement boats may not reach theoretical hull speed due to increased wave resistance.
  • Light displacement boats with fine hull shapes can exceed hull speed by 10-20%.
  • Modern racing sailboats with ultralight designs regularly exceed hull speed by planing or foiling.
  • Multihulls (catamarans, trimarans) have different speed characteristics due to their narrow hulls.

Frequently Asked Questions

Can a displacement boat exceed hull speed?

In theory, a displacement boat is limited to hull speed. In practice, some lighter displacement vessels can exceed it by 10-20% in favorable conditions (surfing waves, strong winds). However, the power required increases dramatically beyond hull speed, making it impractical for sustained cruising.

Does hull speed apply to powerboats?

Hull speed applies to displacement powerboats (trawlers, heavy cruisers) but not to planing powerboats. Planing hulls are designed to rise up on top of the water at speed, breaking free from the displacement wave pattern. This allows them to go much faster than their theoretical hull speed.

How does waterline length differ from overall length?

Waterline length (LWL) is the length of the hull at the water surface, which is typically shorter than the overall length (LOA) due to bow and stern overhangs. LWL is what determines hull speed because it defines the wave pattern the boat creates. Some modern designs minimize overhangs to maximize waterline length.