Boat Speed Calculator

Estimate boat speed using Crouch's formula based on engine power, displacement, and hull type.

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Input Parameters

Enter details for calculation.

Estimated Speed

40.8 kts
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Expert Tip

Crouch's constant varies from 150 (displacement hulls) up to 250+ (high-speed planing racing hulls).

Calculation Methodology & Details

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Formula

Speed (knots) = C ร— โˆš(HP / Displacement_lbs)

Applies Crouch's empirical formula for planing and semi-displacement boats.

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Important Disclaimer

The calculations provided are for educational and general informational purposes only. They do not replace professional advice or diagnostic validation. Always consult a qualified specialist.

How Boat Speed is Estimated

Follow these steps to complete the calculation:

1

Input Power

Enter net horsepower delivered to the propeller shaft.

2

Input Displacement

Enter total vessel weight including fuel, gear, and crew.

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Detailed Insights & Expert Guide

โ„น๏ธ About this Calculation

Boat speed estimation helps marine engineers and boating enthusiasts estimate the maximum theoretical speed of a displacement or planing hull. It commonly employs Crouch's Formula, an empirical method relating propeller shaft horsepower, displacement, and a hull-specific design constant.

Variable Glossary

Input

Shaft Power

The horsepower delivered directly to the boat's propeller shaft.

Parameter

Displacement

The total weight of the water displaced by the boat, equivalent to the boat's weight in pounds.

Parameter

Hull Constant

A constant based on hull design, ranging from 150 for heavy displacement boats to over 250 for racing hulls.

How to Calculate Step-by-Step

1

Step 1

Enter the engine shaft horsepower (HP) and total vessel displacement weight (lbs).

2

Step 2

Determine your hull constant based on boat type (e.g., utility planing boats usually average 180-200).

3

Step 3

Divide horsepower by displacement weight and take the square root of the result.

4

Step 4

Multiply by the hull constant to obtain the estimated speed in knots.

FAQ

What is Crouch's Formula?
It is an empirical formula developed by George Crouch to estimate the speed of planing powerboats using the relationship: Speed = C * sqrt(HP / Displacement).
How do I choose the correct Hull Constant (C)?
Use 150 for heavy cabin cruisers, 180-200 for standard runabouts/utility planing hulls, and 210-230 for light high-speed sports boats.
Does waterline length affect maximum boat speed?
Yes, for displacement hulls, the maximum speed is governed by wave-making resistance (Hull Speed = 1.34 * sqrt(Waterline Length in feet)).