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embed image in body of hourglass post
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rhinopotamus committed Apr 29, 2024
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If I ask you what shape an hourglass is, there is a very specific shape that leaps to mind. (Maybe there is also theme music.)

![Days of Our Lives title card](/images/hourglass.jpg)

For Physics Reasons (TM), fluids[^1] will flow more quickly out of a more full container than they will out of an emptier container, so if we want the level of the fluid to drop consistently, we need the sides to taper in to compensate.

Exactly how much taper do we need? WHat shape, in fact, is an hourglass? Turns out this is a fun question to explore with just a little calculus.
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