Hull Speed Calculator
Calculate a displacement boat's theoretical hull speed.
About the Hull Speed Calculator
Calculates the theoretical hull speed of a displacement boat from its waterline length, the speed at which its own bow wave limits further easy gains.
$$ v = 1.34\sqrt{LWL}\ \text{knots} $$
How to use
Enter the waterline length in feet, then click Calculate.
Worked example
A 30 ft waterline → 1.34 × √30 ≈ 7.3 knots.
How to use this calculator
- Measure the boat's length at the waterline in feet.
- Enter that value into the calculator.
- Use the result as the boat's theoretical hull speed in knots.
The formula explained
$$ \text{hull speed} = 1.34\sqrt{\text{LWL}} $$
- \(\text{hull speed}\) = the theoretical maximum speed of a displacement boat in knots
- \(1.34\) = a constant used in the common hull speed approximation
- \(\text{LWL}\) = length at waterline, usually measured in feet
Step by step method
- Find the boat's waterline length, not the overall length.
- Apply the hull speed formula using the waterline length.
- Multiply the square root of the waterline length by 1.34.
- Read the result as an estimate of speed in knots.
Worked example
For a displacement sailboat with a waterline length of 25 feet, you can estimate its hull speed.
- Use the formula \(\text{hull speed} = 1.34\sqrt{25}\).
- Calculate the square root of 25, which is 5.
- Multiply 5 by 1.34 to get 6.7.
Answer. The boat's theoretical hull speed is 6.7 knots.
Tips and common mistakes
- Use waterline length, not overall length, because that is what the formula is based on.
- The result is theoretical, not a guaranteed cruising speed.
- This estimate is most relevant for displacement hulls, not planing boats.
- Be consistent with units, since this common version assumes feet and knots.
Frequently asked questions
What is hull speed?+
The speed where the wave the hull makes equals its waterline length, sharply increasing drag.
Can boats exceed it?+
Planing hulls can; heavy displacement hulls struggle to go much faster.
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