Why She Floats
A wooden box, full of engine.
It is a fair question, and children at the dock ask it more honestly than adults do: why doesn’t she sink? Wood floats, sure — but she is also carrying an outboard, two batteries, a klaxon, six gallons of fuel and, on a good day, seven people. Here is the whole answer, in three moving parts, using her real measurements.
- Length overall
- 14′3″
- Beam
- 7′at the rail
- Draft
- ~17″how deep she sits
- Her speed limit
- 4.8 kn5.6 mph, and that's physics
First · A sense of scale
How big is she, really?
Everything below is a number about a very small boat, and “fourteen feet” doesn’t mean anything until you stand it next to something. So here she is on one line with a school bus, a blue whale and the kind of working tug she is doing an impression of. Everything is drawn to the same scale; the figure beside each one is a six-foot adult. Drag the harbor.
Show your work
Her figures are the ones her builder measured with a tape, in the driveway: AWOOGA is 14′3″ long, 8 ft from the ground to the top of her cabin roof, and about 15 ft to her masthead with the mast up and her sitting on the trailer.
Those last two don’t share a baseline — the masthead figure is carrying the trailer, the roof figure isn’t — and this strip measures from the waterline. So her roof gives back only the 17 inches of her that float below the surface, while her masthead gives back the trailer as well: a cabin roof a little over six and a half feet above the water, and a masthead a shade under twelve.
- School bus
- 40 ft — a full-size Type C, the yellow one with the hood.
- Blue whale
- 82 ft — a typical adult. They run 70 to 100.
- Harbor tug
- 90 ft — a modern ship-assist tug, the same hull used in the speed chart and the beam chart further down.
- The person
- 6 ft, standing on the waterline — her cabin roof clears the top of his head, and her masthead is nearly twice him.
- Her mast
- Five feet of her above the cabin roof. It folds flat on a lever, which is the only reason she gets under a bridge or down the road.
What’s honest here and what isn’t: the lengths are the comparison, and they’re drawn to a single scale down to the pixel — the ten-foot bar under the strip measures every one of them, and so does the ruling across the sky. Her own dimensions come from the man who built her; the one estimate left in the chain is how high her keel sits on the trailer, taken as 22 inches, and it now only moves her masthead. The other three subjects’ heights are drawn to plausible proportions for their type, not from a tape measure.
A blue whale is about 5.8 AWOOGAs nose to tail. The school bus that goes past her driveway is nearly 2.8. The harbor tug she was designed to look like — the one whose job she is pretending to do — is 6.3 of her, and sits well over a dozen feet deeper in the water.
Look up rather than along, though, and the strip gives away something better. With her mast up she stands nearly twelve feet out of the water — taller than the school bus parked beside her, on a hull short enough to fit inside that bus nearly three times over. The mast folds flat on a lever, which is the whole reason she gets under a bridge. Keep the proportions in your head for everything that follows: all three of the ideas below are the same physics the big tug runs on, worked out at one-sixth the length.
Part one · Buoyancy
She doesn’t float because she’s light
Two thousand years ago Archimedes worked out the only rule that matters here: a floating thing pushes aside exactly its own weight in water. Not its own volume — its own weight. AWOOGA weighs whatever she weighs, and she settles down into the harbor until she has shoved that many pounds of Long Island Sound out of the way. Then she stops. That’s floating.
Which leads to the fun part. Put something heavy aboard and she has to shove aside more water, so down she goes — but only far enough to displace the new weight. And because she is a wide, flat-bottomed boat, that turns out to be almost nothing. Load her up:
- A grown adult180 lb
- A small passenger60 lb
- A dog with opinions45 lb
- A loaded cooler55 lb
- A full fuel tank45 lb · 6 gallons
- Anchor & rode35 lb
People aboard 0 of 7
Show your work
Push a boat down by one inch and she displaces one inch’s worth of extra water. How much that weighs depends on one thing only: the area of the slice the water makes across her hull — the waterplane area.
waterplane = waterline length × beam × fullness = 13 ft × 7 ft × 0.82 ≈ 75 sq ft per inch = 75 sq ft × 1/12 ft × 64 lb/cu ft ≈ 400 lbSo roughly 400 pounds sinks her one inch. A 180-pound adult moves her waterline by under half an inch. Her full rated load of 7 people is about three inches — on a boat with well over a foot of freeboard.
Which of these numbers are real: her 7-foot beam and 17-inch draft are published measurements. Her waterline length (13 ft) and the 0.82 fullness figure are honest estimates for a hull of this shape — nobody has taken a tape to the waterline. Both live in one constant at the top of floats.js; measure them properly and every number on this page follows.
Part two · Speed
Why 20 horsepower is plenty
A boat like AWOOGA doesn’t skim over the water — she pushes through it, shouldering a hole in the sea and dragging it along behind her. And a hole in the water has a top speed. As she goes faster, her bow wave gets longer, until the wave is as long as the boat and she is effectively trying to climb up her own hill. That’s hull speed, and no amount of engine gets you meaningfully past it.
It depends on one measurement: how long she is at the waterline. Not her overall length — the bit actually in the water.
4.8knots
— that’s 5.6 mph
● That’s AWOOGAThe same formula, run on some other hulls:
- AWOOGA
- Cruising sailboat
- Lobster boat
- Harbor tug
- Container ship
Past a certain size the formula stops being the binding constraint — a container ship could theoretically make 35 knots and instead runs at 20, because the fuel bill to get there is monstrous. For small boats, though, it’s a wall.
Show your work
Now the satisfying bit. Her published cruising speed is about 5 mph — roughly 90% of the theoretical maximum for a hull her length. She is already going very nearly as fast as a 14-foot displacement boat can go.
Bolting on a bigger motor wouldn’t make her faster; it would make her squat, dig a deeper hole, burn more fuel and arrive at the same time. The 20-horsepower Tohatsu on her transom isn’t a compromise. It’s the right answer.
Part three · Shape
Tugs are not built to go fast. They’re built to push.
Everything a tug does happens at almost no speed at all: leaning on the side of a ship, holding a barge against a current, dragging something enormous away from a pier at walking pace. The number that matters isn’t top speed, it’s bollard pull — how hard she can haul while standing still.
That’s a shape problem, not a horsepower problem. Push sideways on something and it wants to roll over; the cure is beam. A wide hull resists the heel, keeps the propeller buried, and gives the crew a deck that stays flat while all that force goes through it. So tugs are fat. AWOOGA is very fat.
Every hull above is drawn to the same length so you can compare their beam directly — a racing shell laid alongside AWOOGA at true scale would be four times as long as this page is wide. Ratios for the other boats are typical of their type. (For sizes at true scale, drag the strip at the top of the page.)
At 2 : 1, AWOOGA is proportionally beamier than the working tugs she imitates. Seven feet of boat across fourteen feet of boat. She is, geometrically speaking, almost a square — and that is exactly why seven adults can stand up in her and nothing interesting happens.
The short version
Three sentences, if you’re in a hurry
She floats because she’s wide
Not because she’s light. A wide waterline means every extra 400 pounds only costs her an inch of freeboard.
She’s slow because she’s short
A 13-foot waterline caps her at about 4.8 knots no matter what’s hanging off the transom. She already cruises at 90% of it.
She’s fat on purpose
Tugs trade speed for stability, because their whole job happens at zero knots with something enormous on the other end of the line.
Keep exploring