Finally, here is stuff on buoyancy and floating things. That is from a post on the MythBusters making a lead balloon float. Oh, and here is my last post about Up just for completeness. And now on to the calculations. There is one important thing to estimate - the weight of the balloon material. I have no clue how much this would weigh. Let me just say that the balloon is a sphere with a thickness of t. If I had to off the wall guess t , I would say 1 mm. If this is latex, the density would be about?
From this I can do some stuff. Here is my approach. Of course the weight of the balloon depends on the size of the balloon. Here, r is the radius of the balloon. If I put this all together, I get:. I just need to solve this for r. Problem, this is a cubic equation. There are quite a few ways to solve a cubic equation, but I will use the plotting method. If I let f r be written as:.
And then I can plot this to find the zeros. Here is a plot from zoho. View Iframe URL. Just as a check, I calculated the size of the balloon if the mass of the balloon were negligible it's in the zoho sheet. This is a much easier calculation, and I get a radius of 22 meters. Seems reasonable. Note, if I change the thickness of the balloon to 2 mm, the radius moves up to around 24 meters - but you can play with the spreadsheet yourself if you like. A couple more notes:.
Ok, I want to draw this. I need the size of the house. The Slate article said that Pixar said the house was 1, square feet. Looks pretty square, so this would make it 42 feet by 42 feet or about 13 meters. Oh wait, it's a two story house.
That means the bottom floor is maybe square feet. The larger the balloon, the more helium it can hold. An average balloon has a diameter of about 12 inches. For simplicity, if we say that the balloon is spherical, it could hold 3. One gallon is equal to 0. It would take about 3. Oh, but wait- we have to account for the weight of the balloons and string. If I make a rough estimate that a balloon with string is about a quarter of an ounce, or 0.
So if our balloon contains 0. Subtracting the 0. Alexis Madrigal at Wired figured that the house weighed , pounds and would require , spherical balloons three feet in diameter. Nina Rastogi from Slate calculated that if using party balloons 11 inches in diameter with 26 inches of ribbon and accounting for the weight of the balloons and ribbon, you would need over 9. Over at IMDB , someone posted that it would take 12,, balloons to lift a ,pound house. Pete Docter , co-director of Up , said that Pixar technicians estimated it would take around For the record, Pixar animators used 20, balloons in the scene where the house first took off and 10, balloons in other scenes- not nearly enough based on the variety of the above calculations.
During the married life montage movie, Carl shows off his balloon cart to Ellie. The cart starts to float away, and he jumps to bring it back down. Based on the idea that one balloon could life about 0. Finally, near the end of the movie, Russell uses a cluster of balloons with a leaf-blower to help steer to float to the airship to rescue Kevin. Russell is six, and the average six-year-old is around 50 pounds. This video uses an impressive computer simulation to show what 31 million balloons would look like in real life.
The CGI balloons are shown riding the currents of the wind like a floating, rainbow sea. Blowing up all those balloons would be impractical for an entire team of people, not to mention one elderly man living alone. After watching the video, check out these facts about your favorite Pixar films. BY Michele Debczak.
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