Estimate the weight of an aeroplane. How would you go about calculating it?
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First, I'd like to ask a few questions:
- What kind of airplane: military/commercial, small/large, model airplane / life-size airplane? Let's assume commercial, typical life-size airplane. Let's take the 747 as an exmaple, wich is one of the highest selling airplanes int he world, which I believe has two engines on its wings and fits about 250 passengers in it. Around 200 ft long
- Is the fuel tank empty? How about the cabin, any people inside it? And the cargo compartment? Let's assume it's completely empty but includes all typical airplane parts.
(1) Weight of fuselage = 100K lbs | |
weight of frame = (80 + 108 ft^3) * 200 lbs / ft^3 = ~40,000 lbs | Assuming light metal like reinforced aluminum: ~200 pounds per cubic foot.
|
+ weight of floor | negligible |
+ weight of seats | negligible |
+ weight of cabin | negligible |
+ weight of windows | negligible (each window is small) |
+ weight of shell = 200 ft^3 * 300 lbs/ft^3 = ~ 60,000 lbs | Assuming strong metal heat proof: ~300 lbs per cubic foot
|
+ weight of wiring | negligible |
(2) Weight of wings = 75k lbs | |
weight of engines = 64 ft^3 * 300 lbs / ft^3 = ~20,000 lbs | Assuming metal like reinforced steel: ~400 pounds per cubic foot. Let's compress the engine into a metal cube:
|
+ weight of shell = 100 ft^3 * 300 lbs/ft^3 = ~ 30,000 lbs | Triangle (* 2x for top and bottom * 2x for two wings):
|
+ weight of frame (1:2 of shell weight): 15,000 lbs | |
+ weight of wiring | negligible |
+ weight of wheels (assume 1/2 of engines): 1/2*20,000 lbs = 10,000 lbs |
Total weight = ~175k lbs
I did not add up all the weights of additonal equipment assuming it was negligible but it might add up to a lot. The second thing I would consider triple checking is the weight of the metals. And the third, the thickness of the shell, given that it has such a big impact on the weigth calculation.
Estimating the weight of an aeroplane.
First of all, I would like to clarify two things:
- Is the aeroplane filled with passengers?
- What kind of aeroplane are we talking of? - Commercial, cargo, military jets, private jets, or something else.
Assuming that it's a mid-sized commercial aircraft in the question and the aircraft is empty (including the fuel tank). The following would be my approach to estimate the weight of the aeroplane.
- Estimating the length of the aircraft - Assuming that the main seating area has 30 rows of seats and each seat gives a meter of leg space, that adds up to 30m. Furthermore, we can add an additional 10m of length taking in the cockpit and other miscellaneous lengths into consideration.
- Estimating the height of the aircraft- Taking 2m the height of the seating area and around 3m for the luggage compartment. The net height can be taken as 5m.
- Estimating the thickness of the aircraft skin- Assuming this to be 1cm.
- Estimating the density of the material- Since water is 1000kg per cubic meter, it would be fair to assume the aircraft material would have a density of 2000kg per cubic meter.
Net volume of the aircraft = 6.29 cubic meters
Hence, the weight of the entire aircraft would be - 2000 x 6.29 = 12585 kg
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