Forest Zmora

Literal horned demons: "WhY aRe YoU iN tRoUbLe? that's what you sound like" and "just PLEASE be cool"

Assumptions:

Air at 29 atm and 230C has a density of only 0.02 g/cm2, which is essentially 0

Water is 1 g/cm2

Eridians are 5 g/cm2 (rocks are 2-3 and metals are 5-12 so I'm going with a funky average with nice numbers)

xenonite is the same density as Eridians

xenonite barrier is 2% of the radius of the ball (1cm for a 1m ball)

I can do all my calculations assuming Earth gravity because bouyancy/weight would both be affected equally by the double gravity, thus cancelling out

We can estimate the radius of a pebble by picturing them loafing cutely into their carapace

In order to float, the ball has to be less dense than water; however, water displacement is directly related to density, so

to be comic-accurate, we're looking for the balls (with pebbles inside them) to be roughly 20-50% as dense as water.

Let's start with the xenonite shell:

% of ball that is xenonite = (volume of outer shell - volume of inner shell)/(volume of outer shell)

= [(4/3)πr{outer}^3 - (4/3)πr{inner}^3]/[(4/3)πr{outer}^3]

= 1 - (r{inner}/r{outer})^3

= 1 - (0.98)^3 = 6%

So the density of the ball alone is roughly:

6% x 5g/cm3 + 94% x 0g/cm3 = 0.29 g/cm3

We're already pretty much there without adding a pebble!

Now let's see what radius pebble we'd need to get to 0.5 g/cm3:

[% of volume taken up by pebble] x [density of pebble] + [% xenonite x density xenonite] + [% air x density air] = 0.5g/cm3

% of volume taken up by pebble = (0.5 - 0.29)/5

= 4% of the total ball volume

What a cute little pebble!!

but remember volume scales by radius cubed.

% of ball is pebble = volume of pebble/volume of ball

= [(4/3)πr{pebble}^3]/[(4/3)πr{outer}^3]

= [r{pebble}/r{outer}]^3

0.04^(1/3) = r{pebble}/r{outer}

...so the radius of the pebble is about 35% the radius of the ball!

To find the maximum size of a pebble that can float, let's say the density of the entire ball has to be 0.95 instead of 0.5:

% of volume taken up by pebble = (0.95 - 0.29)/5 = 13%

13%^(1/3) = 50%

However, this would mean they'd be mostly underwater (like an iceberg)

So the pebble has to use a ball that is at least 3 (for safety) times taller than its loaf height in order to float!!

like seriously I thought it was a silly little comic that won't get much attention so I decided to feel a little guilty and force myself to handwave the science for that cartoon cuteness sake. now that it got A LOT of attention I was seriously starting getting worried 😅

Looks like Grace and Rocky both fell asleep. Would you mind watching over them as they sleep on your dash? Thanks

Eldritch siren 🫧🩻👁️

I wanted to do a little something for mermay with a little monster design! She’s lightly inspired by my OC Ekānta and a very old mermaid piece I did in 2019! All around was a fun idea to revisit!