Can You Fly a House to Paradise Falls Using Balloons?

FB = ma + Fg + FT

FB

FT

Fg

Mass of the House

Queen Anne Style House

Mass of the House

275 lbs/sq ft

Mass of House + Mass of Foundation = (275)(2800) = 770,000 lbs or 350000 kg

or 260 m^2

Mass of House + 90000 kg = 350000 kg

Mass of House = 260000 kg

Mass of Balloons & Strings

0.0027 kg

X

20,622 =

56 kg

Tension Between House and Foundation

Frame by Frame Analysis

Terminal Velocity of Helium Balloons = 2 m/s.

t = 10

a = ΔV/t = 0.2 m/s/s

Vinitial = 0. Vfinal = 2 m/s

FB = ma + Fg + FT

FB = (260056)(0.2) + (24975778.2) + (1040000000)

FB = 1,065,027,789.4 N

Buoyant Force of 1 Balloon

Not Feasible!!

How Much Mass Can 1 Helium Balloon Lift?

0.009

0.002 kg

+

0.0007 kg

0.0083 kg

1 Balloon ⇾ 0.0083 kg

Total Mass ⇾ 260056 kg

31,332,049 Balloons!!

Can You Fly to Paradise Falls?

Can You Fly to Paradise Falls?

Can You Fly to Paradise Falls

Conclusion

It is THEORETICALLY possible to fly to paradise falls using balloons

References

120pcs Balloons. (n.d.). Amazon. Retrieved May 23, 2024, from https://shorturl.at/6JPsv

Hay, D. (2004, December 19). What does a house weigh? Some mental heavy lifting. The Seattle Times. Retrieved May 23, 2024, from https://archive.seattletimes.com/archive/?date=20041219&slug=homehay19#:~:text=Rules%20of%20thumb%20around%20the,masonry%20work%2C%20but%20includes%20foundation

The Jet Stream. (2023, September 20). National Oceanic and Atmospheric Administration. Retrieved May 23, 2024, from https://www.noaa.gov/jetstream/global/jet-stream#:~:text=The%20subtropical%20jet%20is%20located,the%20Northern%20and%20Southern%20Hemispheres.

Lysett, T. (2019, March 31). Everything You Need To Know About Concrete Strength. Cor-Tuf UHPC. Retrieved May 23, 2024, from https://cor-tuf.com/everything-you-need-to-know-about-concrete-strength/#:~:text=Tensile%20strength%E2%80%94UHPC%20has%20a,of%20400%20to%20700%20psi.

Paradise Falls. (2020, April 13). Disney Wiki. Retrieved May 23, 2024, from https://disney.fandom.com/wiki/Paradise_Falls#:~:text=Paradise%20Falls%20is%20based%20on,as%20Salto%20%C3%81ngel%20in%20Spanish

​

References

Piana, M. E. (n.d.). Hadley Cells. Harvard Education. Retrieved May 23, 2024, from https://groups.seas.harvard.edu/climate/eli/research/equable/hadley.html

Qualatex® Helium Chart. (n.d.). Qualatex. Retrieved May 23, 2024, from https://www.balloons.com/docs/Qualatex-Helium-Chart.pdf

Quinn, C. (Ed.). (2023, June 24). Where truth ends and fake news begins on Cleveland's 1986 Balloonfest: Letter from the Editor. Cleveland. Retrieved May 23, 2024, from https://www.cleveland.com/news/2023/06/where-truth-ends-and-fake-news-begins-on-clevelands-1986-balloonfest-letter-from-the-editor.html#:~:text=The%20Plain%20Dealer's%20contemporaneous%20storytelling,making%20spectacle%20marred%20by%20a

The Real House from Up. (2013). Zillow. Retrieved May 23, 2024, from https://www.zillow.com/homedetails/13218-S-Herriman-Rose-Blvd-Herriman-UT-84096/117877584_zpid/

Up. (n.d.). Disney Wiki. Retrieved May 23, 2024, from https://disney.fandom.com/wiki/Up

​

​