Boat Speed Formula:
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The Crouch's formula estimates boat speed from horsepower, displacement, and a constant factor. It provides a theoretical maximum speed based on power-to-weight ratio and hull efficiency characteristics.
The calculator uses Crouch's formula:
Where:
Explanation: The formula calculates theoretical hull speed based on the square root of the power-to-weight ratio, modified by the hull efficiency factor (Crouch constant).
Details: Accurate speed estimation is crucial for boat design, performance prediction, engine selection, and understanding the relationship between power, weight, and hull efficiency.
Tips: Enter horsepower in hp, displacement in pounds, and appropriate Crouch constant. All values must be positive numbers.
Q1: What are typical Crouch constant values?
A: Typical values range from 150-250: 150 for displacement hulls, 180-190 for cruisers, 210-220 for planing hulls, 230+ for high-performance boats.
Q2: How accurate is this formula?
A: It provides theoretical maximum speed. Actual speed may vary due to hull condition, water conditions, propeller efficiency, and load distribution.
Q3: What is displacement in boating terms?
A: Displacement refers to the weight of water displaced by the boat, which equals the total weight of the boat including fuel, gear, and passengers.
Q4: Can this formula be used for all boat types?
A: It works best for planing hulls. For displacement hulls, hull speed limitations apply regardless of horsepower.
Q5: How does hull type affect the Crouch constant?
A: More efficient hull designs (like deep-V or catamarans) have higher constants, while less efficient designs have lower constants for the same power-to-weight ratio.