ArticleslgStudy

mathematics

Variable-incidence wing

Variable-incidence wing is a mathematics 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 Variable-incidence wing rather than just read about it. In short: A variable-incidence wing has an adjustable angle of incidence relative to its fuselage. This allows the wing to operate at a high angle of attack for take-off and landing while allowing the fuselage to remain close to horizontal.

Variable-incidence wing — main illustration
Variable-incidence wing — illustration

Key takeaways

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

Reference excerpt

A variable-incidence wing has an adjustable angle of incidence relative to its fuselage. This allows the wing to operate at a high angle of attack for take-off and landing while allowing the fuselage to remain close to horizontal. The pivot mechanism adds extra weight over a conventional wing and increases costs, but in some applications the benefits can outweigh the costs. Several examples have flown, with one, the F-8 Crusader carrier-borne jet fighter, entering production.

History Some early aeroplanes had wings which could be varied in incidence for control and trim, in place of conventional elevator control surfaces. Wing warping varied the incidence of the outer wing and was used by several pioneers, including initially the Wright brothers. Early examples of rigid variable-incidence wings were not particularly successful. They include the Mulliner Knyplane in 1911, the Ratmanoff monoplane in 1913 and the Paul Schmidt biplane, also in 1913. A patent for a rigid variable-incidence wing was lodged in France on 20 May 1912 by Bulgarian inventor George Boginoff. It is believed that four unsuccessful Russian types were built between 1916 and 1917. The Zerbe Air Sedan was a tandem quadruplane which flew only once, in 1921. The first example to be made in any quantity was the French tandem-wing Mignet Pou du Ciel (Flying Flea), which became briefly popular during the 1930s. It had a variable-incidence forewing which proved unsafe, and sales were discontinued following a series of fatal crashes. During World War II, the German company Blohm & Voss developed the variable-incidence monoplane to provide increased lift at takeoff, where the rear fuselage was too close to the ground to allow rotation of the whole aircraft. The fuselage of the BV 144 prototype transport sat low on a short undercarriage, allowing passengers to go on and off without the need for additional steps. Another proposal by B&V, the P 193 attack aircraft, was of pusher configuration and could not rotate its fuselage for takeoff without the propeller fouling the ground, so it was given a variable-incidence wing. Russian designer S. G. Kozlov designed the EI variable-incidence fighter, but the unfinished prototype was destroyed when the factory was overrun by Germany in 1941. Carrier-borne aircraft must have good forward visibility during the descent and approach for a deck landing. Without a variable-incidence wing (or other high-lift device), the pilot must pitch up the entire aircraft to maintain lift at the slow approach speed required, and this can restrict forward vision. By increasing the incidence of the wing but not the fuselage, both high lift and good forward vision can be maintained. The device also avoids the need for a long, bulky and heavy nose undercarriage to raise the angle of attack at takeoff. The Supermarine Type 322 prototype flew in 1943, and the Seagull ASR.1 amphibian flying boat in 1948. After the war the USA revisited the idea for the jet age. The Martin XB-51 bomber and the Republic XF-91 interceptor adopted variable incidence for much the same reason as B&V. Both first flew in 1949, but only a handful of prototypes of either was built. They were followed in 1955 by the Vought F-8 Crusader carrier-borne jet fighter, the only variable-incidence type to go into production and enjoy a successful service career.

See also Stabilator - a variable-incidence horizontal stabilizer or tailplane. Tiltwing - a type of vertical takeoff plane which tilts its wings and engines. Variable camber wing - in which the aerofoil profile is changed rather than tilted.

References

Illustrations

Variable-incidence wing: An RF-8 Crusader using its variable-incidence wing during a landing approach
An RF-8 Crusader using its variable-incidence wing during a landing approach

Worked examples

Example 1 — a first encounter with Variable-incidence wing

Start with the simplest possible case. Write down what Variable-incidence wing claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, 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 Variable-incidence wing 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 Variable-incidence wing 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 Variable-incidence wing

In research
Variable-incidence wing appears in mathematics 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 Variable-incidence wing 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
Variable-incidence wing is common in secondary-school and first-year university syllabi. It links to neighbouring topics Aircraft configurations, Aircraft wing design, Variable-geometry-wing aircraft, so understanding it makes those chapters shorter.
In everyday life
Look for Variable-incidence wing 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.

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study Variable-incidence wing in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Variable-incidence wing 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 Variable-incidence wing out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Variable-incidence wing in simple terms?

A variable-incidence wing has an adjustable angle of incidence relative to its fuselage. This allows the wing to operate at a high angle of attack for take-off and landing while allowing the fuselage to remain close to horizontal.

Why does Variable-incidence wing matter?

Because it connects several mathematics 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 Variable-incidence wing?

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 Variable-incidence wing.

Tags

  • Aircraft configurations
  • Aircraft wing design
  • Variable-geometry-wing aircraft
  • Wing configurations

Keep exploring