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Boat Horsepower To Speed Calculator

Boat Speed Equation:

\[ Speed = (HP / weight)^{1/3} \times constant \]

hp
lb
dimensionless

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1. What is the Boat Horsepower To Speed Equation?

The boat speed equation estimates a boat's speed based on its horsepower, weight, and a hull-specific constant. This simplified model helps in preliminary boat design and performance estimation.

2. How Does the Calculator Work?

The calculator uses the boat speed equation:

\[ Speed = (HP / weight)^{1/3} \times constant \]

Where:

Explanation: The equation shows that speed increases with the cube root of the power-to-weight ratio, modified by a hull efficiency factor.

3. Importance of Speed Calculation

Details: Estimating boat speed helps in selecting appropriate engines, comparing designs, and understanding performance limitations before actual construction or purchase.

4. Using the Calculator

Tips: Enter horsepower in hp, weight in pounds, and the appropriate constant for your hull type. Typical constants range from 120 (displacement hulls) to 200 (high-performance planing hulls).

5. Frequently Asked Questions (FAQ)

Q1: How accurate is this calculation?
A: This provides a rough estimate. Actual speed depends on hull design, water conditions, propeller efficiency, and other factors.

Q2: What's a typical constant value?
A: Average planing hulls use about 150, while high-performance boats may use 180-200. Displacement hulls use lower values (120-140).

Q3: Does this account for different boat types?
A: The constant attempts to account for hull type, but specialized hulls may require adjusted constants.

Q4: Why cube root relationship?
A: Water resistance increases roughly with the square of speed, requiring power to increase with the cube of speed.

Q5: Can I use this for sailboats?
A: This is primarily for powerboats. Sailboat speed depends more on sail area and wind conditions.

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