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Boat Speed Calculator

Calculate boat top speed using Crouch's formula based on horsepower, displacement, and boat type

Boat Performance Calculator

Calculation Mode

hp

Engine power delivered to the propeller

lbs

Weight of water displaced by the boat

Speed Results

0.0
mph
0.0
knots
0.0
km/h

Crouch's Formula: S = √(P / D) × C

Displacement: 0 lbs (0 kg)

Crouch Constant: 150 (Cruisers, Average Runabouts, Passenger Vessels)

Power-to-Displacement Ratio: 0 hp/1000 lbs

Performance Analysis

Example Calculation

Racing Hydroplane Example

Boat Type: Racing Hydroplane

Engine Power: 3,000 hp

Displacement: 6,800 lbs

Crouch Constant: 220 (for hydroplanes)

Calculation

S = √(P / D) × C

S = √(3000 / 6800) × 220

S = √(0.441) × 220

S = 0.664 × 220

S = 146.1 mph

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Crouch Constants by Boat Type

Cruisers150
High-Speed Cruisers190
Racing Boats210
Hydroplanes220
Racing Catamarans230

Factors Affecting Boat Speed

Engine horsepower and efficiency

⚖️

Boat weight and displacement

🏗️

Hull design and type

🌊

Water conditions and waves

🌪️

Wind resistance and direction

🔧

Propeller design and condition

Understanding Boat Speed Calculations

What is Crouch's Formula?

Crouch's formula is a widely used equation in marine engineering to estimate the top speed of powerboats based on their engine power and displacement. It provides a quick and reasonably accurate method for preliminary speed calculations.

Why Use This Formula?

  • Quick estimation for boat design analysis
  • Helps determine engine requirements
  • Widely accepted in marine industry
  • Accounts for different boat types

Formula Explanation

S = √(P / D) × C

  • S: Boat speed (mph)
  • P: Shaft horsepower (hp)
  • D: Displacement (pounds)
  • C: Crouch constant (boat type specific)

Note: This formula gives theoretical maximum speed. Actual speeds may vary due to sea conditions, propeller efficiency, and hull condition.

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