BrightKidz Library
Subjects

Why a Flat Wing Still Lifts

About 14 minutes

You already know the answer your dart depends on: the wings push air downwards, and pushing air down is what holds the plane up.

Now look at the wing you actually folded. It is a flat sheet of paper. Hold a flat sheet flat and slide it through the air and it pushes nothing anywhere — it just slips along. So where does the downward push come from?

The wing does not fly flat

It flies tilted. Only slightly, but that slight tilt is the whole machine.

A tilted wing meets the oncoming air with its underside. The air cannot go through the paper, so it goes round — and it comes off the back travelling a little downwards. It arrived going straight ahead and it left going ahead-and-down. Something turned it.

That something was the wing. And whenever you push on air, the air pushes back on you, just as hard, the other way. Push a stream of air down and it holds you up.

Feel it in about four seconds

Hold the card flat and level, pinched at one edge, and sweep your arm quickly through the air. It slides along and barely tugs at your fingers.

Now tilt the leading edge up by a small amount — a few degrees, no more — and sweep again at the same speed. The card lifts. You can feel it climbing against your grip.

Nothing about the card changed. Only the angle it met the air at.

Now the fix list makes sense

The last article gave you four rules for a plane that misbehaves. They were true, and they were just rules. Every one of them is the same idea in disguise.

It dives, so bend the back edge of the wings up. Bending the trailing edge up makes that little flap push air upwards. The air shoves back down — on the tail end of the plane. The tail drops, the nose comes up, the whole wing meets the air at a bigger angle, and the plane climbs out of the dive.

It curls to one side, so check the wings are even. If one wing sits at a bigger angle than the other, it makes more lift than the other. One side rises, the other does not, and the plane rolls into a turn. Not a fold problem exactly — an angle problem you built with a fold.

It flies better when you throw it flatter. A steep throw does not just aim the plane upward. It swings the whole plane so the air arrives from further underneath, which is a bigger angle of attack than you meant to ask for.

The part that is not obvious

Bigger angle, more air turned, more lift. So the biggest angle should give the most lift.

It does not, and the way it fails is the surprising bit.

The same wing at three angles, and the angle where the lift collapses Three wings in a row, drawn side-on as short thick bars, each meeting the same three level lines of air arriving from the left. The first wing is tilted only slightly, the air leaves it bending gently downwards, and a short arrow points up from it. The second wing is tilted much more, the air leaves bending far further down, and its up arrow is the longest of the three. The third wing is tilted so steeply that the air no longer follows it: above that wing the lines have broken into three loose curls, and its up arrow is the shortest of all. More tilt gives more lift, until the air stops following the wing and the lift falls away.
The same wing three times. Tilt a little and the air follows it down. Tilt more and it follows further down — more lift. Tilt too far and the air stops following the wing at all: it breaks away into curls, and the lift falls off a cliff.

Air will bend round a corner, but only so far. Past a certain angle — somewhere near fifteen degrees for a flat wing — the air can no longer stay stuck to the top surface. It breaks away, tumbles into loose swirls, and the smooth downward turning stops happening.

That is a stall. It is not the plane running out of speed. It is the plane running out of angle.

And it does not fade in gently. Lift climbs, climbs, climbs, and then drops away almost at once. That is exactly what the last article called stalls and flutters: the nose pitches up, the angle passes the limit, the lift vanishes, the nose drops, the air reattaches, and it does the whole thing again a metre further on.

The same wing at three angles, and the angle where the lift collapses Three wings in a row, drawn side-on as short thick bars, each meeting the same three level lines of air arriving from the left. The first wing is tilted only slightly, the air leaves it bending gently downwards, and a short arrow points up from it. The second wing is tilted much more, the air leaves bending far further down, and its up arrow is the longest of the three. The third wing is tilted so steeply that the air no longer follows it: above that wing the lines have broken into three loose curls, and its up arrow is the shortest of all. More tilt gives more lift, until the air stops following the wing and the lift falls away.

Drag the handle to tilt the wing, and watch how much lift it makes.

Look for the moment it turns over. Lift grows steadily all the way up, and then it does not taper off — it collapses. The best angle is never the biggest angle, and finding it is what all that fiddling with wing flaps was really for.

Your dart keeps stalling. You have not changed the plane at all — you are just throwing it steeply upward. Why does throwing it steeply cause a stall?

What to change next

Knowing the mechanism turns fiddling into aiming. Change one thing and predict what it will do before you throw.

A paper dart is a flat sheet with no engine, and it stays up because it is tilted just enough and not one bit more. Every crease you were told to make even was really a crease that sets an angle.