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Same as "Jacuzzi" has become popularly used as a generic trademark to describe hot tubs, so did Zeppelin. It is a helium-filled airship manufactured in the first third of the 20th century founded by Ferdinand von Zeppelin. Later on, constructed by other companies. There are different types, for example Zeppelin NT (see wallpaper) is classified as a semi-rigid airship.

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Originally, German military made extensive use of Zeppelins as bombers and as scouts, killing over 500 people in bombing raids in Britain in WWI. Later on, its uses varied. Some were for aerial tourism purposes, conducting passenger services and even advertising. Also for aerial photographers and television commentators to cover major events. Due to their capability for low-vibration flight, they are suitable for research missions for environmental observation, troposphere research and natural resources prospecting.

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Math's everywhere, we all know that! But focusing on the specifications, we can consider various problems including dynamics, geometry and kinematics. As part of our IGCSE Maths International Programme and the Air Fair 2020, we explored the nature of Zeppelins in relation to weight, surface area, volume, speed, range and travel time.

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Let's take as an example the one you see in the wallpaper
(Zeppelin NT model)
Crew: 2
Capacity: 1,900 kg payload
Length: 75.00 m
Width: 19.50 m
Height: 17.40 m
Volume: 8,255 m3
Gross weight: 10,690 kg
Maximum speed: 125 km/h
Cruise speed: 115 km/h
Range: 900 km

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YOUR TURN! Now you think and solve: Scenario 1

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YOUR TURN! Now you think and solve: Scenario 1

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Consider a Zeppelin's payload 1,890 kg, if only passengers are allowed and the crew includes only 3 people: how many tourists can join a single journey? Take mean mass of a person = 70 kg.

Hint: justifying why it's true, solve the equation
70 . ( X + 3 ) = 1890

Answer: 24 tourists.

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One more time! Think and solve: Scenario 2

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One more time! Think and solve: Scenario 2

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Considering constant cruising speed (see Technical specifications to look this up), how long would it take for Zeppelin NT to travel from Buenos Aires to Cordoba? Can that same zeppelin continue its journey nonstop to Mendoza? Why?

Hint: Speed = Distance / Time

Distance BUE-COR: 650 km
Distance COR-MDZ: 470 km

Answer: 5 hours and 40 minutes. Not possible to continue nonstop to Mendoza since total distance = 650 + 470 = 1120 > 900 = range.

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We draw to scale and combined the different geometric 3D shapes seen in class to construct a prototype of a Zeppelin and calculate its technical specifications by approximation, manually. These were our results. Hope you enjoy our art! Thanks for your attention!

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AIR FAIR 2020 MATH ZEPPELIN PROJECT (Jun 23, 2020 at 4_20 PM)