Drag: form, friction & waves
The water doesn't just slow you down. It charges by the square of your speed.
Three kinds of drag act on a swimmer at the surface. Form (pressure) drag comes from the shape you push through the water: a head lifted high or hips dropped low present a bigger, blunter shape. Skin-friction drag is the water dragging along your skin and costume, small at swimming speeds but not zero. Wave drag is the energy you spend making waves; it rises steeply as you swim faster. Together they follow roughly D = ½ × ρ × CdA × v², where ρ is water density and CdA lumps your shape and size into one "drag area".
| Speed | 100 m in | Drag | Useful power (drag × speed) |
|---|---|---|---|
| 0.8 m/s | 2:05 | ≈ 19 N | ≈ 15 W |
| 1.0 m/s | 1:40 | 30 N | 30 W |
| 1.5 m/s | 1:07 | ≈ 68 N | ≈ 101 W |
| 2.0 m/s | 0:50 | 120 N | 240 W |
Doubling speed from 1.0 to 2.0 m/s: drag ×4 (v²), power ×8 (v³). "Useful power" is only the work that goes into moving forward. Your muscles burn many times more, because much of the effort just stirs water (Chapter 3) and the body turns only a small fraction of food energy into mechanical work (Chapter 4). Measured drag on real swimmers varies widely, and different research methods give different values, so treat 0.06 m² as a teaching number.
Why streamlining beats strength
Because drag scales with CdA, a small change in shape is worth as much as a big change in effort. A long, flat, narrow body (head in line with the spine, hips high, legs kicking inside the body's "shadow") lowers CdA. A 10% lower drag area gives 10% less drag at any speed. Getting the same gain from fitness alone would take 10% more power.
Waves, and why racers go underwater
At the surface, part of your effort becomes the bow wave in front of your head and the trough behind. A streamlined body some way below the surface makes far smaller waves, so research on towed swimmers finds wave drag drops away once the body is roughly half a metre or more down. That's why racers glide and dolphin-kick after starts and turns. World Aquatics rules allow you to be fully submerged for no more than 15 metres after the start and each turn in freestyle, backstroke and butterfly; by then your head must have broken the surface.
At 1.2 m/s, what are the drag and the useful power for our reference swimmer?
Drag = ½ × 1,000 × 0.06 × 1.2² = 43.2 N. Power = 43.2 × 1.2 ≈ 52 W. A 20% speed-up cost 44% more drag and 73% more power.