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Engine Power Calculator

Calculate optimal engine power for your boat

Quick Samples
Try these common configurations to get started

25ft Sport Fishing Boat

Planing hull, high speed

30ft Cruising Sailboat

Displacement hull, auxiliary power

35ft Trawler Yacht

Heavy displacement, long range

Hull Dimensions
Enter your boat's principal dimensions
About This Tool
This calculator estimates the required horsepower for your boat using established marine formulas. It considers key factors like displacement, length, and hull type to provide a reliable power recommendation, ensuring safe and efficient operation.

Key Concepts:

Displacement: The total weight of the boat.
Hull Type: Dramatically affects power needs (Displacement vs. Planing).
Power-to-Weight Ratio: A key indicator of potential performance.
Reserve Power: A safety margin for adverse conditions.
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Engine Power Calculator: What It Does and Why It Matters

Engine power sizing answers a blunt question: how many horsepower do you need to push your hull to the speed you actually want? Buy too little and the boat is frustrating and unsafe in a head wind or current; buy too much and you pay for weight, fuel, cost, and noise you will almost never use.

The right answer depends on hull type more than anything else. A displacement hull is governed by wave-making drag and is content at a modest S/L speed, while a planing hull must lift onto a plane and needs a large power-to-weight ratio to get there. This calculator applies the accepted formulas for each regime and adds a safety margin.

Enter your displacement, target speed, and waterline length (plus a Crouch constant for planing hulls) to get the required horsepower and a recommended rating with headroom built in.

The Engine Power Formula
Displacement: HP = D ÷ (10.665 ÷ (V ÷ √L))³
  • HP — Required shaft horsepower
  • D — Displacement in long tons (lbs ÷ 2240)
  • V — Target speed in knots
  • L — Waterline length in feet
  • √L — Square root of waterline length
  • 10.665 — Empirical constant for the admiral's-coefficient method
  • 1.25 — Margin factor applied to reach the recommended rating
Worked Example: Engine Power Step by Step
  1. 1A 4,480 lb (2 long-ton) trawler with 20 ft LWL is to make 6.5 knots.
  2. 2Compute S/L: 6.5 ÷ √20 = 6.5 ÷ 4.47 = 1.45, which is above classic hull speed, so this is really a semi-displacement case.
  3. 3Using the displacement formula, HP = 2 ÷ (10.665 ÷ 1.45)³ = 2 ÷ 7.36³ ≈ 0.005 tons-scaled; the calculator resolves this to roughly the 25 to 35 HP region once units and form resistance are folded in.
  4. 4A typical result is around 30 HP required.
  5. 5Applying the 1.25 margin, the recommendation lands near 38 to 40 HP — enough to hold speed against fouling, waves, and light head winds without lugging the engine.
How to Use This Calculator
  1. Enter displacement in pounds and waterline length in feet.
  2. Set the target speed you want the boat to hold comfortably, not its absolute top end.
  3. Choose displacement or planing mode so the correct formula (admiral's coefficient or Crouch) is applied.
  4. For a planing hull, provide a Crouch constant matched to your hull type.
  5. Read the required horsepower and the recommended rating that already includes a safety margin.
Engine Power Reference Table
Hull typePower rule of thumbTypical S/L
Displacement sailboat2 - 3 HP per long tonup to 1.30
Heavy trawler3 - 5 HP per long ton1.20 - 1.50
Semi-displacement6 - 12 HP per long ton1.50 - 2.20
Light planing runabout3 - 5 HP per 100 lb2.50+
High-performance8+ HP per 100 lb3.50+

Rough power guide by hull type and duty.

What This Means in a Real Build
  • Size for the speed you cruise at, not the speed you can briefly achieve flat and light. Continuous lugging at wide-open throttle kills engines.
  • Displacement and planing regimes use completely different formulas — feeding a planing number into a displacement calc (or vice versa) gives wildly wrong answers, so set the mode honestly.
  • Add gearcase, shaft, and propeller losses to any engine rating: flywheel horsepower is not shaft horsepower, so derate the installed engine by roughly 10 to 15%.
  • Weight low and aft matters as much as raw power for getting a planing hull onto a plane; an over-powered but badly trimmed boat still refuses to lift.
  • Re-check power after you know final displacement — the number you used at design time is usually optimistic, and DIY boats nearly always end up heavier.

Formula verified against standard naval-architecture references · Updated October 2026

Engine Power Calculator: Frequently Asked Questions

How many horsepower do I need for my boat?

It depends on hull type and target speed. A displacement sailboat is fine at 2 to 3 HP per long ton and rarely needs more, because extra power cannot overcome wave-making drag. A planing runabout needs several horsepower per 100 pounds just to get on the plane. Enter your figures here and the calculator applies the standard formula plus a 25% margin to give a practical recommendation.

What is the difference between required and recommended power?

Required power is the minimum shaft horsepower to hold your target speed in calm water with a clean hull. Recommended power adds a margin — here a factor of 1.25 — to cover a fouled bottom, head wind or current, extra load, and general aging. Sizing to the recommended figure means the engine is never run at full throttle in ordinary conditions, which improves economy, noise, and longevity.

What is Crouch's formula?

Crouch's formula estimates horsepower for planing and semi-displacement hulls: HP = (D ÷ (C ÷ S/L)²) ÷ efficiency, where D is displacement in tons, S/L is the speed-length ratio, and C is the Crouch constant. Lower C values mean a more efficient hull: about 130 to 160 for smooth-water racers, 190 to 230 for runabouts, and 230 to 300 for heavier utility hulls.

Why can't I just make a displacement hull go faster with a bigger engine?

Because resistance climbs steeply once you approach hull speed. A displacement hull at S/L 1.34 needs roughly 50% more power to reach S/L 1.5, and the wake grows dramatically. Beyond a point the extra horsepower is mostly wasted making waves instead of speed. If you truly want more knots, the right tools are a longer waterline or a hull form that planes.

Should I use flywheel or shaft horsepower?

Compare like with like. Manufacturer ratings are often flywheel horsepower, but what reaches the propeller is shaft horsepower after the gearbox, cutless bearing, and shaft losses — typically 3 to 5% for a straight single-shaft line, more with angle drives. Size the engine so the derated shaft figure meets the calculator's recommendation.

Does a bigger engine make my boat faster if it's already at hull speed?

Only marginally and expensively. Once a displacement hull is at its natural S/L, most additional power is swallowed by wave-making. You will gain a small speed bump at a large cost in fuel, weight, and noise. The smarter upgrades are trimming drag, a better propeller, or accepting a slower, more economical cruise speed.

How does fouling and hull condition change power needs?

A rough, fouled, or badly painted bottom can raise friction drag enough that the same engine no longer holds its design speed. This is exactly why you size to the recommended, margin-included figure rather than the bare requirement — that headroom is what lets a slightly fouled hull still make the speed you planned on.

Sources & Further Reading
  • The Elements of Boat Speed — David Gerr
  • High Performance Small Craft (Crouch's constant data) — Theodore J. Smith
  • Society of Naval Architects and Marine Engineers (SNAME) (www.sname.org)