Lifting Strength: Feat video
scaling:
Rex - 1.7 meters and 100 pixel
Height of the first layer - 156 pixels
1.56 * 1.7 = 2.652 meters
Base edge of the first layer - 607 pixels
6.07 * 1.7 = 10.319 meters
Volume of an octagonal prism = 2 * (1 + v2) * a^2 * h
a = Base edge
h = Height
2 * (1 + v2) * 11.90^2 * 1.18 = 806.829 m^3
Height of the second layer - 87 pixels
87 / 224 = 0.388x
0.388 * 1.7 = 0.66 meters
Base edge of the second layer - 580 pixels
580 / 100 = 5.80
1.25 * 1.7 = 2.13 meters
5.27 * 1.7 = 8.959 m^3
2 * (1 + v2) * 8.95^2 * 0.66 = 255.267
680.04 + 255.267 = 935.307
7850 *935.307 = 7342159.95 Kg
Stated Speed - 23,123,000 m/s
Relativistic KE = (? - 1) * m *c^2
? = Relativistic gamma
m = Mass
c = Speed of light
? = 1 / v1 - v^2 / c^2
v = Velocity
1 / v1 - 23,123,000^2 / 299,792,458^2 = 1.0029878582315136757
(1.0029878582315136757 - 1) * 7342159.95 * 299,792,458^2 = 1.9716292e+21 J
Diameter of the Earth - 12,742,000 meters and 2323 pixels
Visible portion of the Earth - 672 pixels
672 / 2323 = 0.289x
0.289 * 12,742,000 = 3,682,438 meters
Screen height - 1081 pixels
Angular Size = 2atan(tan(70/2)*(object size in pixels/screen height in pixels)
2atan(tan(70/2)*(672/1081) = 0.5728900394 Radians
0.5728900394 Radians - 32.824181383 Degrees
Distance - 6,251,100 meters
Timeframe - 2.24s
6,251,100 / 2.24 = 2,790,669.64 m/s
Kinetic Energy = m * 0.5 * v^2
7342159.95 * 0.5 * 2,790,669.64^2 = 2.8589773e+19 J
Timeframe of deceleration - 20 s
Deceleration = (v(f) - v(i)) / t
v(f) = Final Velocity
v(i) = Initial Velocity
t = Time
(0 - 23,123,000) / 20= -1156150 m/s^2
(0 - 2,790,669.64) / 20 = -139533.482 m/s^2
Final velocity - u + at
u - Initial velocity
a - Acceleration
t - Time
23,123,000 + (-964,917.089 * 20) = 3824658.22 m,/s
7342159.95 * 0.5 * 2000000.004701^2 = 1.468432e+19 J
2,790,669.64 + (-127,480.226577 * 20) = 241065.10846 m/s
7342159.95 * 0.5 * 241065.10846^2 = 2.1333522e+17 J
1.9716292e+21 - 1.468432e+19 = 1.9569449e+21 J
2.8589773e+19 - 2.1333522e+17= 2.8376438e+19 J
1.9569449e+21 / 20 = 9.7847245e+19 J/s
2.8376438e+19 / 20 = 1.4188219e+18 J/s
1156150 * 7342159.95 / 9.81 = 865304610213 kg = 8.65*10^11 kg (Class G)
Final Tally
Rex stops the Space Elevator (Calculated Speed-Yield per second) = 339.11egatons (Mountain Level)
Rex stops the Space Elevator (Stated Speed-Yield per second) = 23.38 Gigatons (Island level)
Rex stops the Space Elevator (Lifting Strength) = 8.65*10^11 kg (Class G)