Credit to TTGL who calculated it here Have you ever gotten angry, set something on fire, or been smacked in the face at relativistic speeds?
3:31 Spoiler: That's pretty damn fast. There's tons of impressive stuff here, so hand on tight! Spoiler: The diameter of the Earth is 12756.2km. Spoiler: object degree size = 2*atan(Object_Size/(Panel_Height/tan(70/2)))= 2*atan(359/(639/tan(70/2))) = 0.520326546 rad = 29.8125150544936375 degrees
Entering that into the angscaler and we get a distance of 23960km. Spoiler: object degree size = 2*atan(Object_Size/(Panel_Height/tan(70/2)))= 2*atan(13/(359/tan(70/2))) = 0.0343119055 rad = 1.965927372206593526 degrees
That gets us a distance of 371740km, which gets our final distance to 347780km. Next we need a timeframe. Spoiler: 3.43 seconds.
T = 347780km/3.43s = 101393586/299792458 X 100 = 33.8212598% C
Just over a third the speed of light. Pearl was steering this thing at this speed, so this would scale to her reactions. Spoiler: We can also get relativistic kinetic energy from this, but as the Roaming Eye has TARDIS-lite tech... Spoiler: ...I'll only be doing the outside (the inside could be in extra-dimensional space like the interior of the Gem Temple). Pearl is about 1.7m tall. Spoiler: 207 pixels = 1.7m 1 pixel = 1.7m/207 = 0.00821256039m 0.00821256039m X 111 = 0.911594203m 0.00821256039m X 357 = 2.93188406m 0.00821256039m X 14 = 0.114975845m 0.114975845m X 2 = 0.22995169m 0.00821256039m X 211 = 1.73285024m 1.73285024m/2 = 0.86642512m 0.86642512m - 0.22995169 = 0.63647343m 0.00821256039m X 484 = 3.97487923m 0.00821256039m X 335 = 2.75120773m 2.75120773m - 0.22995169m = 2.63623188m 0.00821256039m X 160 = 1.31400966m
Top part as a hemisphere, the bottom part as a cone and the window as a triangular prism.
V = 4/3πr^3 = 4/3 X π X 0.86642512^3 = 2.72446802/2 = 1.36223401m^3
V = πr^2h/3 = π X 0.86642512^2 X 2.75120773/3 = 2.1627886m^3
V = 1.36223401 + 2.1627886 = 3.52502261m^3
V = 4/3πr^3 = 4/3 X π X 0.751449275^3 = 1.77741/2 = 0.888705m^3
V = πr^2h/3 = π X 0.751449275^2 X 2.63623188/3 = 1.55887598m^3
V = 0.888705 + 1.55887598 = 2.44758098m^3
Volume of the window as a triangular prism is 0.098m^3.
V = 3.52502261 - 2.44758098 = 1.07744163 - 0.098 = 0.97944163m^3
Titanium is a good enough middle end, and weighs 4500kg/m^3.
M = 0.97944163 X 4500 = 4407.48733kg
Window glass weighs 2579kg/m^3 (it's probably super tough space glass but it's the best we have to go with for now).
M = 0.098 X 2579kg = 252.74200kg + 4407.48733kg = 4660.22933kg
Now we get the relativistic kinetic energy calculator, and the magic truly begins! For we get 2.622E+19 joules, or 2.98040152964 gigatons! On the way, the spaceship smacks into several of the Ruby Squad (including their gems) at this speed and they are completely unscathed (see the above video at 4:00). Spoiler: Your average Ruby is the size of Steven, who despite being 14, has the body of a 12 year old, so we need the surface area of a 12 year old girl (and using this calculator, we get our answer of 1.31m^2). Now we need to get the surface area of our spaceship. They were sent flying at 29815263.2m/s, so I'll take that out to get to get 71578322.8m/s. That gives a relativistic kinetic energy level of 1.247E+19 joules (2.98040152964 gigatons).
A = 4πr^2 = 4 X π 0.86642512^2 = 9.43348003/2 = 4.71674002m^2
Surface area of a cone (which I just looked up a calculator for) is 13.13m^2. That's a total of 17.84674m^2.
E = 1.31/17.84674 = 0.0734027615 X 1.247E+19 = 9.15332436e17 joules = 218.769702677 megatons Final Results Roaming Eyes sub-light speed = 33.821% C Roaming Eyes relativistic kinetic energy = 6.267 gigatons Rubies get hit by the Roaming Eye = 218.77 megatons
This isn't even the first time a Ruby has been hit at incredible speeds and been unscathed, but this time it's literally over a thousand times greater! This would also scale to everyone except Peridot, average Pearls and maybe Sapphire. This will make it even more hilarious when people try and make up context behind Garnets mountain level feat to downplay it, as even mook Rubies dwarf it!