Balloons are usually filled with helium gas as it is much lighter than air. The weight of helium is around 1/7 of the we

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Balloons are usually filled with helium gas as it is muchlighter than air. The weight of helium is around 1/7 of the weightof air under identical conditions. The buoyancy force will push theballoon upward. If a giant balloon with 8-m diameter is used tolift yourself, determine:
You may perform the calculations with appropriateassumptions.

Balloons Are Usually Filled With Helium Gas As It Is Much Lighter Than Air The Weight Of Helium Is Around 1 7 Of The We 1 (15.42 KiB) Viewed 29 times

Balloons Are Usually Filled With Helium Gas As It Is Much Lighter Than Air The Weight Of Helium Is Around 1 7 Of The We 2 (20.7 KiB) Viewed 29 times

Balloons Are Usually Filled With Helium Gas As It Is Much Lighter Than Air The Weight Of Helium Is Around 1 7 Of The We 3 (20.44 KiB) Viewed 29 times

Assumptions: 1. The weights of balloon skin, ropes and cage which carry the person is negligible. 2. The density of air is pair = 1.164 kg/m³ at atmospheric pressure and temperature of 30°C. The density of helium is Phelium = × 1.164 = ? 3. Weight: explain 4. specific weight: explain 5. volume of the displaced body: explain Sketch Free Body Diagram:
Analysis: Total mass = mHelium + a = a Mpeople = mHelium + mpeople = PHelium V balloon +mpeople 4 PHelium X 3 -ballooon+mpeople From Newton law: [₁ From the Free body diagram, we know that: ΣF = FB - W Hence, FB-W = mtotal X a Pair GV balloon - mtotalg = mtotal X a Pair V balloon - mtotal)g mtotal = (PH F mtotal x a X a = ? 4 3 (((Pair Balloon) - Motal) 9 X mtotal 3
The maximum amount of load that the balloon can carry can be calculated from: ΣF=0 0 FB = W Pair 9V balloon = mmaximumg Pair V balloon = mmaximum 4 3 mmaximum = Pair X = ? - ΠΥ ballooon The calculated mass is including the mass of helium gas in the balloon. Hence, the mass of helium must be subtracted from the maximum mass in order to calculate the maximum load: mmaxload = mmaximum mHelium = ? - = Mmaximum - PHelium V balloon 4 = Mmaximum PHelium X 3ballooon ooon)