The Earth Squeezed Into a Wire

If the Earth were squeezed into a wire the thickness of a human hair, how long would it be? A lot longer than it seems!

There are multiple ways to calculate this and below I’ll just go with the simplest and most obvious.

However keep in mind: different materials expand and compress differently depending on temperature and pressure, so here we’re just assuming standard conditions so it’s obviously a little naive but that’s okay this still gives us a good order of magnitude.

The Earth Volume Method #

So how thick is a human hair? 70 microns in diameter.

The section of a human hair has an area of π × r² = π × (70/2)² = 3,848µm².

The volume of 1km of human hair is π × r² × h = 3,848 × 1,000,000,000 = 3,848,000,000,000µm³. Lets convert this to cubic kilometers, that yields 3.848 × 10-15 km³.

The Earth is about 1 trillion cubic kilometers.

So how many kilometers of human hair does the Earth’s volume fit into?

10¹² / 3.848 × 10-15 = 2.5987526 × 10²⁶ km

How long is that really? Well the observable universe is 8.8 × 10²³ km in diameter.

So if we could squeeze the Earth into a wire the thickness of a human hair, it would be 295x longer than the observable universe.

 
4
Kudos
 
4
Kudos

Now read this

Early Words - iOS App

I’ve just released Early Words to the iOS AppStore. You can find the app right here. This is the first commercially viable mobile app I’ve built entirely on my own from A to Z, for my own business (LycheeApps Inc.), and without external... Continue →