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peterdsharpe committed Jan 30, 2024
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"source": [
"Looking at these charts, the answer's a bit more obvious: the balloon simply pops, since it is not infinitely elastic and the radius cannot grow to over a kilometer.\n",
"\n",
"There is also a second-order effect here that we have ignored: the tension in the balloon skin leads to unequal pressures on the inside and outside of the balloon. This causes the helium to have a slightly higher density than it otherwise would at ambient pressure, which leads to a slightly lower buoyancy force."
"There is also a second-order effect here that we have ignored: the tension in the balloon skin leads to unequal pressures on the inside and outside of the balloon. This causes the helium to have a slightly higher density than it otherwise would at ambient pressure, which leads to a slightly lower buoyancy force. Depending on assumptions about balloon tension, this effect could cause the altitude of the balloon to asymptote to a constant value, rather than increase indefinitely."
],
"metadata": {
"collapsed": false
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