MadSci Network: Physics |
Calculating the exact forces on a balloon that is partly squashed by water is a rather difficult problem. The easiest way to get an idea of when the balloon will burst is to use a technique called dimensional analysis. The idea is to think of all the quantities that play a part in determining the answer, and try to multiply them together in a way that gives the right dimensions. The answer is a tensile strength, with dimensions of pressure (e.g. Energy/Volume). What quantities are likely to determine this answer? There’s the gravitational constant (units of Energy/Length/Mass), the density of the water (units of Mass/Volume), and the surface tension of the rubber (units of Energy/Area). The trick is to multiply these together and maybe raise the product to some power, so that they come out to have dimensions of pressure. Play around a little, and you should be able to find a solution. Larry
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