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hull speed calculator

Hull Speed Calculator

August 13, 2023
in Boat Anatomy
0

Are you looking to understand the maximum hull speed of your boat? In this blog, we’ll dive into the concepts, and we also have a handy hull speed calculator to help you figure out your own boat’s speed. 

In short, hull speed is the theoretical maximum speed a boat or ship with a displacement hull can travel, regardless of the boat’s size or engine power. Exceeding a boat’s hull speed is highly inefficient and dangerous. 

So why does it matter? What causes these speed limits? How is it calculated? Read on to find answers to all of these key questions. 

Key Takeaways

  • Hull speed is the boat's theoretical top speed based on waterline length. 
  • Exceeding hull speed is inefficient and can be dangerous.
  • Checking your hull speed helps pick the proper boat, engine, and speed.
  • The hull speed of a boat is calculated using a formula involving the square root of the waterline length.
  • Doubling a boat's waterline length will only increase its hull speed by 40%. 
  • Wave interference at speeds exceeding the hull speed causes increased drag, greater fuel consumption, and reduced stability.
  • Unlike traditional displacement boats, the speed of planing hull boats isn't limited by wave interference and displacement. 

Jump to...

calculate hull speedHow to Calculate Hull Speed? The Displacement Hull Speed Formula 

The calculation uses a simple formula based on the boat’s waterline length. Here is the hull speed formula:

Hull Speed (knots) = 1.34 x √Waterline Length (feet)

So, for example, a boat with a waterline length of 20 feet would have a theoretical hull speed of:

1.34 x √20 = 8.2 kn

This formula shows that hull speed increases with the square root of the waterline length. Therefore, doubling the waterline length will increase hull speed by about 40%.

Using the Hull Speed Calculator

Here is a calculator to help you determine the theoretical hull speed for a displacement hulled boat.

Simply enter the waterline length of your vessel, choose between feet and meters, and click the button to get the hull speed in knots instantly. Want to try again? Click the “Clear” button to reset all fields.

What Causes the Displacement Speed Limit? 

But why does this formula hold true? What limits a vessel’s maximum speed?

The answer lies in wave interference. As a boat moves through the water, it creates a bow wave and one at the stern. When the boat begins to exceed its hull speed, these begin to interfere with each other. This interference causes the waves to become steeper, requiring tremendous amounts of energy to climb. 

Essentially, the boat hits a speed “wall” where its own wave creation prevents it from accelerating. This is why huge amounts of engine power cannot push a boat past its hull speed. The physics of wave creation forms an upper limit.

Why Does Hull Speed Matter for Your Boat?

Knowing this can help you in several ways:

  1. Operate your boat more efficiently. Exceeding hull speed wastes fuel and stresses the engine.
  2. Avoid dangerous situations. Pushing past hull speed can reduce control and stability.
  3. Set realistic speed expectations. Understanding hull speed helps you pick the right boat and engine size.
  4. Improve navigation and safety. Accounting for max speed allows better trip planning.

Vessel Hull Speed Chart & Table

Responsive Boat Speed Table
Waterline Length (feet) Waterline Length (meters) Hull Speed (knots)
10 3.05 3.37
20 6.10 4.77
30 9.14 5.84
40 12.19 6.74
50 15.24 7.54
60 18.29 8.25
70 21.34 8.89
80 24.38 9.49
90 27.43 10.07
100 30.48 10.61

hull speed chartExplanation of the Graph

The curve on the chart shows how the speed changes as the length increases, following the formula.

Final Thoughts

Understanding your boat’s hull speed is paramount for maintaining safety, efficacy, and optimal control at sea. Our guide has provided invaluable insights on its relevance, implications, and calculation method using the waterline length. Use our calculator to determine your boat’s hull speed.

It’s not entirely about owning the longest boat or having the most powerful engine; it’s about understanding the physics of your vessel and how it interacts with water at different speeds. Remember, being a skilled mariner isn’t just about managing the boat; it’s also about knowing your boat inside and out.

FAQ

What is the correct way to calculate the hull speed of a sailboat? 

The hull speed is the speed at which a boat’s waterline length equals the bow wave’s wavelength. To calculate it, you follow this ratio: Hull speed in knots = 1.34 * sqrt(LWL in feet), where LWL is the length of the boat’s waterline.

Why does the hull speed calculation matter for a ship or boat?

Hull speed calculation is vital because it defines how fast a boat can go under its own displacement hull without needing significant thrust or horsepower. This calculation provides an optimal speed limit for the boat.

How does the bow wave's wavelength increase affect the boat's speed?

As the boat speeds up, the wavelength increases. Once the boat travels at a speed where the bow and stern wave synchronize, further increases in speed result in higher energy consumption but not necessarily in an increase in speed. Therefore, preventing the boat from outrunning its bow wave is beneficial to maintain optimal energy use.

What refers to the term "vessel with a displacement hull"?

This refers to any ship or boat designed to displace water equal to its own weight. These vessels have a hull speed, the theoretical maximum speed they can achieve without riding on the plane.

Why can't my sailboat move faster than the hull speed?

The hull speed is the speed at which the length of the bow wave equals the waterline length of the boat. As the boat starts to move at this speed, it will take a significant increase of energy to make the boat move even slightly faster. That’s why a traditional sailboat can’t naturally move faster than the hullspeed.

Is the hull speed the fastest a boat can go? 

The hull speed is generally considered the maximum efficient speed for a displacement boat; exceeding it requires exponentially more energy. However, powerboats, planing boats, and other specific designs can go considerably faster than their hull speeds.

When does exceeding hull speed become inefficient or dangerous?

When a boat reaches 1-to-2 knots over its hull speed, the wave interference effect quickly increases drag and instability. Fuel usage and stresses also rise exponentially.

Do planing hull boats like speedboats have a hull speed limit?

Planing hulls are designed to lift up onto the water at speed, “planing” across the surface. So they do not face the same hull speed limits as heavier displacement boats. But each hullhas performance limits.

Should I get a larger boat to go faster? 

A longer waterline length only increases hull speed by the square root. So doubling the size only increases hull speed by 40%. Often it is better to pick an efficient hull design instead of just a longer boat.

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