june 06, 2018 by @frychicken
h = 1/2gt^2
g = 2*h/t^2
where "g" is gravitational acceleration (m/s^2); "h" is height (m), and "t" is time (t).
Each block in minecraft is 1x1x1 (m^3), so we can build to a certain height and count the jump down, image above, time in second (Do this multiple times).
I found that the time for 50m-jump is 2.20 seconds so g is ~20.66 m/s^2 whereas on earth is ~9.8 m/s^2
using the universal gravitation equation:
mg = (G*M*m)/r^2
g = G*M/r^2
where "g" is gravitational acceleration (m/s^2); "r" is radius (m); "M" is mass of the planet(kg); "m" is mass of the object (kg), "G" is Universal constant - 6.674×10^−11 - (N·kg^–2·m^2).
gMinecraft is 20.66 and gEarth is 9.8 -> gMinecraft = 2.11 * gEarth
2.11*gEarth = gMinecraft
2.11 * (G*Mass_earth/radius_earth^2) = gMinecraft
-> either Mass of Minecraft world is 2.11 times bigger than the mass of earth or the radius of the planet is 0.69 (1/square root of 2.11) times bigger than that of earth.
The mass of minecraft world is 2.11* 5.972 × 10^24 = 12.60092 x 10^24 kg or the radius of minecraft world is 0.69* 6371000 = 4395990.0 m.
With everything above, we can find how many diamonds/emeralds/blocks; how long will it take to travel around the world
(If minecraft world is NOT flat)
(4*rMinecraft*rMinecraft*rMinecraft*Math.PI)/3;
the volume is 3.558432210460817E20 or 3.56x10^20 m^3
the volume of a block in minecraft is 1x1x1 = 1 m^3
so, there are 3.56x10^20 / 1 = 3.558432210460817E20 or 3.56x10^20 blocks in minecraft.
There are 3.097 blocks on diamond in a chunk and 0.2 blocks of emerald in a chunk-a chunk is 65536 blocks.
Using the information above, we can find how many chunks in minecraft using 3.56x10^20 / 65536. As a result, there are total total_chunk * 3.097 = 1.6815894402766646E16 / 1.7 x 10^16 blocks of diamonds and total_chunk * 0.2 = 1.0859473298525442E15 or 1.1 x 10^15 blocks of emerald.
Thinking it as a circle with radius = 4395990.0, we can find the perimeter of a minecraft world
Math.PI*rMinecraft*2;
-> the perimeter is 2.762081978E7 or 2.8x10^7 m
Now, we need to calculate the speed by using how many blocks per time (do this multiple times).
I found that the time to fly (I fly because it is the fastest way to travel) 10 blocks is 0.87 seconds, so the speed is ~ 11m/s
S = v*t
-> t = S/v = 2.8x10^7 / 11 = 2403011.32 seconds or 40050.19 minutes or 667.5 hours or 27.81 days or 3.97 weeks or 0.93 months or 0.08 years to go one circle around Minecraft world
nearly 4 weeks to go one circle around Minecraft world?! With that said, I think the mass of minecraft world is 2.11 times bigger than that of earth. In addition, the minecraft world is flat - if you dig down, you will see the end but not the other half of the world (image below).