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Paper plane

Paper plane is a science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Paper plane rather than just read about it. In short: A paper plane (also known as a paper airplane or paper dart in American English, or paper aeroplane in British English) is a toy aircraft, usually a glider, made out of a single folded sheet of paper or paperboard. It typically takes the form of a simple nose-heavy triangle thrown like a dart.

Paper plane — main illustration
Paper plane — illustration

Key takeaways

  • Paper plane belongs to science; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Paper plane to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Paper plane from memory before moving on to harder problems.

Reference excerpt

A paper plane (also known as a paper airplane or paper dart in American English, or paper aeroplane in British English) is a toy aircraft, usually a glider, made out of a single folded sheet of paper or paperboard. It typically takes the form of a simple nose-heavy triangle thrown like a dart.

History Paper airplanes are known to have been made as far back as the mid 19th century, based on an American children's book describing their construction from 1864. The construction of a paper airplane, by Ludwig Prandtl at the 1924 banquet of the International Union of Theoretical and Applied Mechanics, was dismissed as an artless exercise by Theodore von Kármán:

Prandtl was also somewhat impulsive. I recall that on one occasion at a rather dignified dinner meeting following a conference in Delft, Holland, my sister [Josephine], who sat next to him at the table, asked him a question on the mechanics of flight. He started to explain; in the course of it he picked up a paper menu and fashioned a small model airplane, without thinking where he was. It landed on the shirtfront of the French Minister of Education, much to the embarrassment of my sister and others at the banquet. Over time, paper model aircraft have gained design improvements in velocity, lift, propulsion, style, and fashion.

Advanced paper gliders

Developments Paper gliders have experienced three forms of development in the period 1930–1988:

High flight performance Scale modeling Use of CAD software Ongoing development of folded/origami gliders over the same period has seen similar sophistication, including the addition of the following construction refinements

Increased fold-count, sometimes of an intricate nature Explicit kirigami (cutting of paper) as a component of design Requirements for additional ballast to ensure flight performance

Technological introductions Technology responsible for the proliferation of advanced paper plane construction:

Inexpensive CAD software for 2D part design Widespread manufacture, and inexpensive nature of acetal air-annealed glues, e.g. Bostik Clear-bond. Inexpensive ink and laser computer printers, for accurate aircraft part reproduction The advent of the Internet, and widespread information sharing

Material considerations Compared to balsa wood — another material commonly used to fabricate model planes — paper's density is higher; consequentially, conventional origami paper gliders (see above) suffer from higher drag, as well as imperfectly aerodynamic wing chords. However, unlike balsa gliders, paper gliders have a far higher strength-to-thickness ratio: a sheet of office-quality 80 g/m2 photocopier/­laser printer paper, for example, has approximate in-scale strength of aircraft-grade aluminium sheet metal, while card stock approx­imates the properties of steel at the scale of paper model aircraft.

Directions in advanced paper aircraft design Unmodified origami paper aircraft have very poor glide ratios, often not better than 7.5:1 depending on construction and materials. Modification of origami paper gliders can lead to marked improvements in flight performance, at the cost of weight and often with the inclusion of aerodynamic and/or structural compromises. Often, increases in wing loading can encourage breakdown of laminar flow over a wing with a hybrid of origami and glued and taped construction. Professors Ninomiya and Mathews developed more directed design strategies in the late 1960s and the 1980s. Previously, paper model aircraft had been designed without an emphasis on performance in flight. By using aerodynamic design, and fluid dynamics, both professors were able to design models that exceeded previous flight performance criteria by a very wide margin. Ranges of flight increased from the typical 10+ meters to 85+ meters, depending on energy input into the gliders on launch. At present, the work of the two professors remains the last serious research work on improving the flight performance of paper model gliders. Collaborative work by enthusiasts through online forums and personal websites are mostly developments of these original glider types. In the field of scale model design, there are at present many possibilities for advanced design. Profile gliders encounter a limitation for improvement of flight performance based on their wing types, which are typically curved-plate aerofoils. In addition, fuselages are either balsa-paper or paper laminates, prone to warping or breakage over a very short time. Improvement in performance is possible through modelling three-dimensional fuselages which encourage laminar flow, and in internally braced wings which can then have high-lift aerofoil profiles, such as the Clark Y or NACA 4 or 6 series, for high lift.

White Wings

In Japan in the late 1960s, Professor Yasuaki Ninomiya designed an advanced type of paper aircraft, which were published in two books, Jet Age Jamboree (1966) and Airborne All-Stars (1967). Designs from these books were later sold as the 'White Wings' Series of paper glider packs from the 1970s to the present day. White Wings are a stark departure from conventional paper aircraft, in that their fuselages and wings are paper templates cut and glued together. They were designed with the aid of low-speed aerodynamic engineering design principles. Construction of the models is of Kent paper, a grade of cartridge paper sold in Japan. The early models were explicitly hand drawn, but by the 1980s these had their parts drafted with the use of CAD software. Ninomiya's designs also included, for the first time in any paper model, working propellers driven by airflow, in particular for his profile scale models of the Cessna Skymaster and Piaggio P.136 of 1967. Noteworthy as well was the careful design of gliders so that they could fly without ballast – his F-4 Phantom II model is able to be flown immediately without recourse to paperclips, etc. The high performance gliders have fuselages that are kept rigid by the use of a balsa fuselage profile bonded to the paper components. The paper used is quite heavy, approximately twice the weight of standard drawing cartridge paper, but lighter than lightweight cardboard. Original White Wings were entirely paper, requiring patience and skill. Later however, balsa-wood fuselages were used, and White Wings were sold "pre-cut", making construction easier. The aerofoil used is a Göttingen 801 (curved plate), and a pattern is supplied as a cutout part of each kit.

… excerpt ends here. Continue reading the full article.

Illustrations

Paper plane: A simple folded paper plane
A simple folded paper plane
Paper plane: Folding instructions for a traditional classic dart
Folding instructions for a traditional classic dart
Paper plane: Ninomiya's "N-424" design from Jet Age Jamboree (1966). The glider fuselage is constructed from several laminations of paper glued together. The wings are of two laminations, and the tailplane and tailfin of a single lamination.
Ninomiya's "N-424" design from Jet Age Jamboree (1966). The glider fuselage is constructed from several laminations of paper glued together. The wings are of two laminations, and the tailplane and tailfin of a single lamination.
Paper plane: A contest-winning paper glider
A contest-winning paper glider
Paper plane: An example of an asymmetrical custom paper airplane, which exhibits large torque due to unbalanced forces on the wings. The flight path assumes a somewhat parabolic shape, before descending in a rapid counter-clockwise spiral, as viewed from behind.
An example of an asymmetrical custom paper airplane, which exhibits large torque due to unbalanced forces on the wings. The flight path assumes a somewhat parabolic shape, before descending in a rapid counter-clockwise spiral, as viewed from behind.

Worked examples

Example 1 — a first encounter with Paper plane

Start with the simplest possible case. Write down what Paper plane claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Paper plane before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Paper plane ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Paper plane

In research
Paper plane appears in science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Paper plane in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Paper plane is common in secondary-school and first-year university syllabi. It links to neighbouring topics Glider aircraft, Origami, Paper planes, so understanding it makes those chapters shorter.
In everyday life
Look for Paper plane outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Paper plane in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Paper plane means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Paper plane out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Paper plane in simple terms?

A paper plane (also known as a paper airplane or paper dart in American English, or paper aeroplane in British English) is a toy aircraft, usually a glider, made out of a single folded sheet of paper or paperboard. It typically takes the form of a simple nose-heavy triangle thrown like a dart.

Why does Paper plane matter?

Because it connects several science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Paper plane?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Paper plane.

Tags

  • Glider aircraft
  • Origami
  • Paper planes
  • Paper toys
  • Paper vehicles
  • Traditional toys

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