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Santos-Dumont number 6

Santos-Dumont number 6 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 Santos-Dumont number 6 rather than just read about it. In short: The Santos-Dumont No. 6 was an airship designed and built by the Brazilian pioneer aviator Alberto Santos-Dumont. In 1901 it was used by him to win the Deutsch de la Meurthe prize for a flight from Parc Saint Cloud to the Eiffel Tower and back within thirty minutes.

Santos-Dumont number 6 — main illustration
Santos-Dumont number 6 — illustration

Key takeaways

  • Santos-Dumont number 6 belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Santos-Dumont number 6 to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Santos-Dumont number 6 from memory before moving on to harder problems.

Reference excerpt

The Santos-Dumont No. 6 was an airship designed and built by the Brazilian pioneer aviator Alberto Santos-Dumont. In 1901 it was used by him to win the Deutsch de la Meurthe prize for a flight from Parc Saint Cloud to the Eiffel Tower and back within thirty minutes.

Background In April 1900 Henri Deutsch de la Meurthe offered the Deutsch de la Meurthe prize, also simply known as the "Deutsch prize", of 100,000 francs to the first machine capable of flying from the Aéro-Club de France's flying field at Parc Saint Cloud to the Eiffel Tower in Paris and back in less than thirty minutes. The winner of the prize needed to maintain an average ground speed of at least 22 km/h (14 mph) to cover the round trip distance of 11 km (6.8 mi) in the allotted time. The prize was to be available from May 1, 1900 to November 1, 1901. To win the prize, Alberto Santos-Dumont decided to build dirigible No. 5, a larger craft than his earlier designs. On August 8, 1901 during one of his attempts, the airship began to lose gas, causing the envelope to lose shape and making it necessary to shut down the engine, which also powered the ventilator which inflated the internal ballonet. It started to descend and was unable to clear the roof of the Trocadero Hotel. Santos-Dumont was left hanging in a basket from the side of the hotel. With the help of firemen he escaped without injury, but the airship was a write-off, only the engine being salvaged.

Design After the wreck of No.5 Santos Dumont immediately started work on a replacement, which was finished by September 1. Similar to the No.5 but slightly larger, it had an envelope of varnished silk from which an elongated uncovered gondola was suspended by steel wires. The envelope was fitted with a single manoeuvering valve and two automatic pressure-relief valves: in addition there were two ripping panels to enable hydrogen to be rapidly vented in an emergency. The triangular section gondola was constructed of lengths of pine connected with aluminium sockets and braced with piano wire. The 12 hp (9 kW) engine was mounted in the centre of the gondola and drove a two-bladed pusher propeller at the rear via a long driveshaft. The pilot stood in a small balloon basket at the front. The triangular rudder was carried between the rear of the gondola and the envelope.

Operational history

After some tethered trials on September 5 Santos Dumont made his first flight in the airship on September 6. After an hour and a half of trials at the Longchamps racecourse he flew the craft to meet friends at a nearby restaurant, but on attempting to return to his base at Chalais-Meudon a series of mishaps ended with the gondola being damaged. However it was soon repaired and a first attempt at the Deutsch de la Meurth prize was made on September 19, ending when the airship was blown against some trees during preliminary trials, resulting in the envelope being punctured. Another more successful flight was made on October 10, followed by an attempt on the prize the following day, which was frustrated by technical problems. Another successful trial flight followed on the 13th. Further flying was ruled out by the weather until October 19, when Santos-Dumont took off from Saint-Cloud at 2:42 pm. With the wind behind him, he reached the Eiffel Tower in nine minutes, but on the return journey suffered an engine failure. To restart the engine, he had to climb back over the gondola rail without a safety harness. The attempt was successful, and he reached the finish line after 29 minutes 30 seconds. However, there was a short delay before his mooring line was secured, and at first the adjudicating committee refused him the prize, despite de la Meurthe, who was present, declaring himself satisfied. This caused a public outcry from the crowds watching the flight, as well as comment in the press. However a face-saving compromise was reached, and Santos-Dumont was awarded the prize. In a charitable gesture, he gave half the prize to his technicians and donated the other half to the poor of Paris. After winning the De la Meurthe prize Santos-Dumont took the airship to Monte Carlo in January 1902, making use of the newly built balloon shed belonging to the Prince of Monaco on the Boulevard de la Condamine.

It was badly damaged on February 14, 1902 when superheating of the hydrogen caused the airship, already in a nose-up attitude, to pitch up even further, causing some of the wires supporting the gondola to break. Some of these then began to get entangled with the propeller. Santos-Dumont was forced to stop the motor and in order to prevent himself being blown out to sea, vented hydrogen to bring the airship down in the sea. The airship was salvaged and returned to Paris where it was repaired, and on Easter Monday (i.e., on March 30, 1902) it was placed on exhibition in the Concert Room in the Crystal Palace Park in south London, where it attracted 10,000 visitors on the first day it was shown. It remained on display throughout April and May, after which a series of exhibition flights were announced. During the static exhibition the envelope had been inflated with air, and when inflated with hydrogen it was found that the envelope had deteriorated and so the flights were cancelled. The airship was on display in New York during the whole summer of 1902, a plan for a trip to the Statue of Liberty and back being likewise abandoned.

Specifications Data from l'Aérophile, August 1901, pp. 210-2; Santos-Dumont, My Airships, London, 1904, pp. 180-186General characteristics Length: 33 m (108 ft 3 in) Diameter: 6 m (19 ft 8 in) Volume: 630 m3 (22,000 cu ft) Powerplant: 1 × Buchet 4 cylinder inline water-cooled piston engine, 8.9 kW (12 hp) Propellers: 2-bladed Performance

Maximum speed: 40 km/h (25 mph, 22 kn) (approx)

Notes

References

Santos-Dumont, Alberto (1904). My Airships: The Story of my Life. London: Grant Richards.

Illustrations

Santos-Dumont number 6 illustration
Santos-Dumont number 6: Often published as a photo of Santos-Dumont during the prize-winning flight, this is actually an earlier attempt using No.5
Often published as a photo of Santos-Dumont during the prize-winning flight, this is actually an earlier attempt using No.5
Santos-Dumont number 6: Santos Dumont's accident on February 14, 1902.
Santos Dumont's accident on February 14, 1902.

Worked examples

Example 1 — a first encounter with Santos-Dumont number 6

Start with the simplest possible case. Write down what Santos-Dumont number 6 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 Santos-Dumont number 6 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 Santos-Dumont number 6 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 Santos-Dumont number 6

In research
Santos-Dumont number 6 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 Santos-Dumont number 6 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
Santos-Dumont number 6 is common in secondary-school and first-year university syllabi. It links to neighbouring topics Aircraft first flown in 1901, Airships of France, Santos-Dumont aircraft, so understanding it makes those chapters shorter.
In everyday life
Look for Santos-Dumont number 6 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 Santos-Dumont number 6 in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Santos-Dumont number 6 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 Santos-Dumont number 6 out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Santos-Dumont number 6 in simple terms?

The Santos-Dumont No. 6 was an airship designed and built by the Brazilian pioneer aviator Alberto Santos-Dumont. In 1901 it was used by him to win the Deutsch de la Meurthe prize for a flight from Parc Saint Cloud to the Eiffel Tower and back within thirty minutes.

Why does Santos-Dumont number 6 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 Santos-Dumont number 6?

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 Santos-Dumont number 6.

Tags

  • Aircraft first flown in 1901
  • Airships of France
  • Santos-Dumont aircraft
  • Single-engined pusher aircraft
  • Standing pilot aircraft

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