Marine & Nautical
Intermediate

Hull Speed

Theoretical top displacement speed in knots from waterline length in feet.

Formula

v=1.34Lv = 1.34\sqrt{L}

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Variables

vHull speed (knots)
LWaterline length (ft)

Example

L=36 ft: v = 1.34×6 ≈ 8.0 knots

How it works

Hull speed is an estimate of the fastest speed a displacement hull can efficiently travel before it starts climbing its own bow wave and requires much more power to go faster. The key idea is that a longer waterline makes a longer wave pattern, so the boat can move a bit faster before wave-making resistance rises sharply; that is why the formula scales with the square root of waterline length. It is a rule of thumb, not a hard limit, and works best for conventional displacement boats in knots using waterline length in feet.

When to use it

Use this when estimating cruising performance, comparing similar displacement boats, or checking whether a boat is approaching the speed where wave drag rises quickly. It is especially useful in naval architecture, sailing, and basic boat design calculations.

Worked example, step by step

Given: L = 49 ft Step 1: Find the square root of the waterline length √49 = 7 Step 2: Multiply by 1.34 v = 1.34 × 7 Step 3: Calculate the result v = 9.38 knots Final answer: the hull speed is about 9.4 knots

Common mistakes to avoid

  • Using overall boat length instead of the waterline length
  • Forgetting that the result is in knots, not mph
  • Treating hull speed as an absolute maximum for every boat type

Did You Know?

A displacement hull struggles to exceed its hull speed because it would have to climb its own bow wave.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026