Aviation, Aerospace & Marine Aerodynamics & Flight Mechanics Wing cube loading convention (model aviation)

Wing Loading Calculator

Wing loading is weight divided by wing area, and it is the single number that best predicts how an aircraft will feel: how fast it must fly, how sharply it can turn, and how much a gust will throw it around. This calculator reports it in ounces per square foot, pounds per square foot and kilograms per square metre at once, adds the wing cube loading that model designers use to compare aircraft of different sizes fairly, and gives power loading in both pounds per horsepower and watts per pound.

Calculator

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Inputs this calculator takes, with typical values
InputWhat to enterExample
All-up weightReady-to-fly weight including battery or fuel, exactly as it leaves the ground.96 oz
Wing areaProjected planform area; for a model, span times average chord including the centre section.600 in²
Available powerElectric input watts at full throttle, or rated shaft horsepower for a glow, gas or full-size engine.400 W

It returns

  • Wing loading — The unit model flyers quote; divide by 16 for lb/ft².
  • Wing loading
  • Wing loading
  • Wing cube loading — Weight in ounces divided by wing area in square feet raised to the power 1.5.
  • Power loading
  • Specific power

The formula

WS=weightwing area
WCL=WS1.5
PL=WP

In plain text: W/S = weight ÷ wing area; WCL = weight(oz) ÷ S(ft²)^1.5

  • WAll-up weight of the aircraft ready to fly (lb or oz)
  • SProjected wing planform area (ft²)
  • W/SWing loading (oz/ft², lb/ft² or kg/m²)
  • WCLWing cube loading — weight in ounces divided by area in square feet to the power 1.5 (oz/ft³)
  • PAvailable power (W or hp)

Wing loading is a ratio of two quantities that scale differently with size, so it is not size-independent: enlarge an aircraft by a linear factor k and weight grows as k³ while area grows as k², so wing loading grows as k. Wing cube loading divides that dependency out.

Updated Category Aerodynamics & Flight Mechanics Verified against published test cases Reading time 12 min

What wing loading tells you about an aircraft

Wing loading is the weight each square foot of wing has to carry. Everything about how an aircraft behaves at low speed follows from it, because the lift equation contains weight and area only as their ratio. Two aircraft with the same wing loading and the same maximum lift coefficient stall at exactly the same speed regardless of how different they look.

A low wing loading means the aircraft flies slowly, takes off and lands in a short distance, turns in a tight radius and climbs well — and gets shoved around badly by turbulence, because a gust changes the angle of attack of a lightly loaded wing far more than a heavily loaded one. A high wing loading means the opposite: higher stall and approach speeds, longer runways, a smoother ride in rough air, and better penetration into wind. This is why a trainer sits near 14 lb/ft² and a jet airliner near 130 lb/ft², and why the airliner is the one that rides a bumpy day comfortably.

For model aircraft the same physics applies but the numbers are smaller, so modellers quote ounces per square foot instead of pounds. A park flyer at 8 oz/ft² is docile; a 3D aerobatic model at 12 oz/ft² hovers; a pylon racer at 40 oz/ft² must be flown fast at all times.

Power loading is the companion number: weight divided by power. It governs climb rate and acceleration in the way wing loading governs speed and turning. Full-size practice quotes pounds per horsepower, where lower is livelier; electric model practice quotes watts per pound, where higher is livelier. They point in opposite directions, so read the unit before comparing two aircraft.

Why wing cube loading exists

Wing loading has a flaw as a comparison tool: it is not scale-invariant. Take a design and build it twice as large in every linear dimension using the same materials and structure. Every length doubles, so wing area, which is a length squared, goes up by four. Weight, which follows volume, goes up by eight. Wing loading therefore doubles. The larger model is not a worse design; it is the same design, and it will fly with the same character but at a proportionally higher speed.

That is a real problem when you want to answer “will this fly like a trainer or like a racer?” across models of different sizes. The fix used throughout model aviation is wing cube loading: divide the weight by the area raised to the power 1.5 rather than 1.0. Because area to the 1.5 power scales as k³ — the same way weight does — the ratio is unchanged when you scale a design up or down. Two models of the same character have the same WCL whatever their span.

The convention is weight in ounces and area in square feet, giving units of ounces per cubic foot. The scale that grew up around it puts free-flight models below 4, gliders and park flyers in the 4 to 6 range, trainers 6 to 9, sport models 9 to 12, sport aerobatic 12 to 15, warbirds and pattern ships 15 to 20, and racers, ducted fans and turbines above 20. Treat those bands the way you would treat any workshop rule of thumb: they describe how designs have historically clustered, not a physical limit.

The arithmetic. S1.5 is just S × √S, so you can do it on any calculator without a power key. For a 4.167 ft² wing: √4.167 = 2.041, and 4.167 × 2.041 = 8.505. A useful identity falls out of this: WCL = (W/S) ÷ √S, so cube loading is wing loading divided by the square root of the area. A model with a given wing loading has a lower cube loading the bigger it is, which is exactly the size correction the metric was invented to make.

Worked example: a 600 in² sport model at 96 oz

Take a typical .40-size sport model: 96 ounces (6 lb) all-up, 600 square inches of wing, with a 400 W electric power system.

  1. Convert the area. There are 144 square inches in a square foot, so 600 ÷ 144 = 4.1667 ft².
  2. Wing loading in ounces. 96 ÷ 4.1667 = 23.04 oz/ft².
  3. In pounds. Divide by 16: 23.04 ÷ 16 = 1.44 lb/ft². Equivalently 6 ÷ 4.1667 = 1.44.
  4. In metric. One pound per square foot is 0.45359 kg ÷ 0.092903 m² = 4.88243 kg/m², so 1.44 × 4.88243 = 7.031 kg/m².
  5. Area to the 1.5 power. √4.1667 = 2.04124, and 4.1667 × 2.04124 = 8.5052.
  6. Wing cube loading. 96 ÷ 8.5052 = 11.29 oz/ft³, which falls in the 9 to 12 sport band.
  7. Power loading. 400 W ÷ 745.7 = 0.5364 hp, so 6 ÷ 0.5364 = 11.19 lb/hp. In model units, 400 ÷ 6 = 66.7 W/lb, which will fly the model comfortably but will not hover it.

Now scale the same design up by a factor of 1.5 in every dimension, keeping the structure proportional. Area becomes 600 × 1.5² = 1,350 in² = 9.375 ft², and weight becomes 96 × 1.5³ = 324 oz. Wing loading rises to 324 ÷ 9.375 = 34.56 oz/ft², half again as much. But cube loading is 324 ÷ (9.375 × 3.0619) = 324 ÷ 28.705 = 11.29 oz/ft³ — identical. The bigger model will fly at 1.22 times the speed (√1.5) with exactly the same character, and that is what the cube loading correctly predicts and plain wing loading does not.

How to read the result

Read wing loading against the mission, not against an ideal. There is no good or bad value in the abstract. A high wing loading is a liability for a short-field bush aircraft and an asset for a cross-country tourer that must hold a schedule in rough air. What matters is whether your number is consistent with the speeds you intend to fly and the field you intend to fly from.

Translate it into stall speed. The most concrete use of the result is as an input to the stall speed calculator: stall speed is √(2(W/S) / (ρ₀ CLmax)). Doubling wing loading raises stall speed by 41%, and landing distance roughly with the square of approach speed, so it doubles. That chain — wing loading to stall speed to runway length — is where the number earns its keep.

Use cube loading when comparing across sizes. If you are asking whether a design will fly like a trainer, compare its WCL to other trainers, not its wing loading. If you are asking how fast it will fly, compare wing loading, because that is what sets speed.

Power loading sets climb, not top speed. Excess power divided by weight is rate of climb, near enough. A model at 60 to 80 W/lb flies scale-like and climbs gently; 100 to 130 W/lb gives sport aerobatics; 150 to 200 W/lb gives vertical performance; above 200 W/lb the model can hover on the propeller. In full-size terms, 12 to 16 lb/hp is typical of light trainers, and under 8 lb/hp gives the climb rate of an aerobatic aircraft.

Sanity-check the area. The most common cause of an implausible answer is an area entered in the wrong unit. A 600 figure is square inches for a model and square feet only for something the size of a business jet, so if the wing loading comes out at 0.16 oz/ft² or 3,300 oz/ft², check the unit selector before you check the design.

Wing cube loading bands and unit conversions

Left: the wing cube loading bands used in model aviation to classify how a design will fly, independent of its size. Right: exact conversions between the three wing loading units, derived from 1 lb = 0.45359237 kg and 1 ft = 0.3048 m.
WCL (oz/ft³)Character of the designoz/ft²lb/ft²kg/m²
Under 4Free flight, indoor, very light rubber and electric models40.2501.221
4 – 6Gliders and slow park flyers80.5002.441
6 – 9Trainers and slow scale models161.0004.882
9 – 12Sport models241.5007.324
12 – 15Sport aerobatic models322.0009.765
15 – 20Warbirds and pattern aircraft483.00014.647
Over 20Racers, ducted fans and turbines644.00019.530

The band descriptions are a long-standing modelling convention, not a standard. The conversion columns are exact: 1 lb/ft² = 0.45359237 ÷ 0.09290304 = 4.882428 kg/m².

Mistakes that produce a misleading number

  • Using dry weight instead of all-up weight. Battery, fuel, payload and camera gear all fly with the aircraft. A 2S pack that is a fifth of a park flyer's mass changes the wing loading by a fifth.
  • Measuring exposed area instead of projected area. Include the section that passes through or over the fuselage. On a model with a wide fuselage this is 10% or more of the total, and it moves the answer in the direction that flatters the design.
  • Forgetting sweep and dihedral. Wing area is the projected planform seen from directly above. A polyhedral wing measured along the panels overstates the projected area by the cosine of the dihedral angle.
  • Comparing wing loading between models of different sizes. That is precisely what wing loading cannot do. Use cube loading for the comparison and wing loading for the speed.
  • Mixing power units. Watts per pound goes up as the aircraft gets livelier; pounds per horsepower goes down. Quoting one and interpreting the other inverts the conclusion.
  • Comparing electric input watts with engine shaft horsepower. Input watts include motor, ESC and propeller losses; shaft horsepower does not. A 400 W input system delivers roughly 300 to 340 W of shaft power at typical efficiencies, so a like-for-like comparison needs the same measurement point.

Where wing loading sits in design and operation

In preliminary aircraft design, wing loading and power (or thrust) loading are the two parameters chosen first, before any aerofoil, structure or system. Together they fix nearly all the performance: wing loading sets stall speed, approach speed, field length, turn radius and gust response, while power loading sets climb rate, ceiling and acceleration. Design texts such as Raymer's Aircraft Design: A Conceptual Approach plot the two against each other on a constraint diagram, with each performance requirement drawn as a line, and the design point chosen in the feasible corner. Everything else in the aircraft is then sized to hit that point.

Once the aircraft exists, wing loading changes every flight because weight does. That makes it an operational number, not just a design one: work out your loaded weight with the weight and balance calculator, divide by the wing area, and you have the wing loading that actually applies today. Feed the same weight into the lift equation calculator to see the lift coefficient the wing must hold at any given speed.

The marine analogue is worth knowing, because the same reasoning appears there. A displacement hull's speed is limited by its waterline length through the hull speed relationship, and a planing hull's speed depends on its power-to-weight ratio through Crouch's formula — the direct equivalent of power loading in air. In both fluids, the useful parameters are ratios of weight to a supporting quantity, and in both, the ratios rather than the absolute sizes determine how the craft behaves.

Frequently asked questions

What is a good wing loading for an RC trainer?

Most trainers land between 14 and 22 oz/ft², which corresponds to a wing cube loading of roughly 6 to 9. Below about 14 oz/ft² the model becomes noticeably sensitive to wind, which is unhelpful for a beginner flying from an open field; above about 24 oz/ft² the landing speed gets high enough that mistakes break things. Cube loading is the better guide because it holds across a 40-inch and a 70-inch trainer alike.

How do I convert oz/ft² to kg/m²?

Multiply by 0.305152. That factor comes from dividing 1 ounce (0.0283495 kg) by 1 square foot (0.09290304 m²). Going the other way, multiply kg/m² by 3.27714. For pounds per square foot the factor is 4.882428 in one direction and 0.204816 in the other. This calculator shows all three units at once so you never have to apply them by hand.

Why does wing cube loading use the power 1.5?

Because that makes the ratio scale-invariant. Weight scales with the cube of linear size and area with the square, so weight divided by area grows in proportion to size. Raising the area to the power 1.5 makes it scale with the cube as well, so the ratio stays put. Scale a design up by any factor and its cube loading is unchanged, which is exactly the property you want when comparing a 36-inch model with a 100-inch one.

Does higher wing loading mean the aircraft is harder to fly?

It means faster, not necessarily harder. Higher wing loading raises stall and approach speeds and lengthens the landing roll, which leaves less time to correct mistakes, and that is what makes it feel demanding. It also improves the ride in turbulence and reduces the effect of a crosswind gust. Pilots transitioning to a higher wing loading usually find the aircraft steadier in the air and less forgiving on the runway.

How many watts per pound does an electric model need?

As a working scale used throughout electric modelling: 50–80 W/lb for gliders and light scale models, 80–110 for trainers and sport flying, 110–150 for aggressive sport aerobatics, 150–200 for unlimited aerobatics, and 200 or more for hovering and 3D. These are input watts measured at the battery. A model at the bottom of the range still flies; it just climbs at a shallower angle and has less reserve for recovery.

Do I use gross weight or empty weight?

Use the weight at the moment you care about. For the takeoff and climb case that is the full ready-to-fly weight including fuel or battery and any payload. For the landing case, subtract the fuel you expect to burn; a full-size light aircraft can land 15% lighter than it took off, which lowers the wing loading and the approach speed accordingly. Electric models are unusual in that they land at essentially the same weight they left at.

Does wing loading change with altitude?

No. It is weight divided by area, and neither changes with height. What changes is what a given wing loading costs you: because air density falls with altitude, the true airspeed needed to support that loading rises by roughly 2% per thousand feet of density altitude. The wing loading number stays the same while the speeds it implies get faster, which is why hot-and-high field performance degrades so sharply.

How do I measure the wing area of a tapered or elliptical wing?

For a straight-tapered wing, area is span times the average of the root and tip chords. For a wing with several panels, compute each trapezoidal panel separately and add them. For an elliptical or complex planform, trace the outline on graph paper and count squares, or approximate it as a series of trapezoids a few inches wide. Always include the projected area passing through the fuselage, and project the shape onto the horizontal plane rather than measuring along a dihedralled panel.

References