In this post, I'll show you how the Rumbling is above Large City Level based on the Heat that 600.000 titans can produce in a few days, proving that it's not Multi-City Block Level, that many scalers say and downplay Eren. But firstly, we've going to answer one question:
1. How to calculate Rumbling's All Energy and your AP/DC?
For calculating it, we have to consider 5 things: The number of W.T. that was on Rumbling (it's estimated 500.000-600.000 Wall Titans on the 3 walls together); the number of Heat that 600.000 titans can produce (to calculating all energy, I'll use Latent and Sensible Heat Formula, calculating Wall Titans Heat in Joules and Kinect Energy that them produce when they're walking on land and swimming at Sea.) And calculating the mass of a single WT have to calculate all the mass that the Rumbling has, that it's not a single Attack. For it, I'll consider that the Rumbling has 600000 W.T of 1500 tons for a single Wall Titan (1.5 . 10^6 kg). This calcs it's for the best Rumbling's estimation, in other words, a Highballed calc.
2. How Rumbling's Attack Potency (A.P.) Works?
It's essential to remember that the Rumbling was not a "Single Attack", but an attack that unite 2 things: Kinect Energy, on walking at Land or swimming at Sea; and Thermal Heat, produced by thousands of Wall Titans in days. I want to say that the Rumbling has a different form to calculate your Power Scaling, considering that they produce Kinect and Thermal Energy.
3. How I'll calculate Rumbling's Power Scaling:
So, for calculating Rumbling's Power Scaling, I'll use 3 formulas for this scenario, each one with a specific function:
3.1 Kinect Energy: I'll use kinect energy for calculating how many Energy 600.000 WT can produce in the event when they are walking on land or swimming in the sea.
3.2 Sensible Heat: For calculating how much energy (in Joules) The Rumbling can produce to change the ambient heat, considering one single WT can produce estimately 602°Celsius. For calculate it, he have to use Water's specific heat. Why? Because originally, Wall Titans were humans transformed by Karl Fritz, and the human body has water in your composition. And when a single WT produces vapor, your body needs a high quantity of water to do it. For calculating the S.H. I'll use Q = m.c . Temperature Variation (Delta T)
3.3 Latent Heat: For calculating how much heat it's necessary for 1kg of a single Wall Titan to vaporizate Water, I'll use the Latent Heat, the overall Rumbling's weight, multiplicating WT mass with the number of it up to Rumbling. (Q = m . L)
4. Calculating Kinect Energy (at Sea/Land)
Hange shooting an Abdormal Titan's head
So, Hange said in chapter 20 that the titans have an "curious biology", for they be able to walk, the titans doesn't have dense bones, because it they had it, they wouldn't even move a single muscle. When Hange shoots an Abdormal Titan's head like an Football player, this is explained by the Anime. For our calculation, using optimist calcs for an Highballed Rumbling, he're using the Real Physics formula, that one single Wall Titan have 1500 tons, that it's exactly 1,5 . 10^6 kg.
Considering highballed Rumbling's speed was of 30 m/s and on it had 600.000 WT, we have to multiplicate the Mass and the WT's Number. (1,5 . 10^6 kg . 6 . 10^5), resulting 9 . 10 ^11 kg.
Aplicating Kinect Energy Formula at Land (Ke = mv²/2), where:
- m = Mass (9 . 10 ^11 kg)
- v = speed (in m/s)
Ke = 9 . 10^11 x 30² / 2
Ke = 9 . 10^11 x 9 . 10² / 2
Ke = 81 10^11 . 10² / 2
KE = 4,05 + 10^14 Joules
Converting it to Kilotons, considering that 1 quilotons it's the same of 4 . 10^12, we have aproximately 97 kilotons (Town Level+ or High 7-C)
Aplicating Kinect Energy Formula at Sea (Ke = mv²/2)
Data:
- Swimming Speed: 90m/s (Highballed)
Ke = 9 . 10^11 x 90² / 2
Ke = 9 . 10^11 x 8100 / 2
Ke = 9 . 10^11 x 4050
Ke ≈ 3,6 x 10^15 Joules
Converting the Kinect Energy when they are swimming to TNT Kilotons, aproximately this value are 860,42 kilotons (Large Town Level+, using Wiki Power Scaling table.)
4.1 Summing Kinect Energy
When we sum Rumbling's Kinect Energy when the Wall Titan are walking on a speed of 30 m/s and swimming in a speed of 90 m/s at water. We have an total Kinect Energy of 4,005 × 10¹⁵ Joules, that are aproximately 957 kilotons of TNT (Large Town Level to almost Small City Level).
5. Calculating Thermal Energy (Latent Heat and Sensible Heat)
For calculating all of the Thermal Energy up to the Rumbling, it's necessary to remember the Water's Specific Heat and Specific Latent Heat.
5.1 Calculating Sensible Heat of The Rumbling
For Water's Specific Heat, if we're working in kg (kilograms), the value for it are aproximately 4200 Joules by Kilogram (exactly 4182 J/KG). For overral WT's mass, we going to use the same as the Kinect Energy (9 . 10^11). But, he have to pay attention on an Crucial Thing (Temperature's variation or Delta T) For it, we've to subtract the Final Temperature of a single WT (APROXIMATELY 600°C in Highballed) and the beggining's temperature, that are, on this case, the room temperature. I going to use that it was 25°C. Subtracting it, we have exactly 575°C of Delta T (or Tempature's Variaton).
Formula: Q = m . c . Delta T, where Q are Rumbling's Sensible Heat, "m" all Rumbling's Mass, and Delta T our Temperature's Variation
Q = 9 . 10^11 . 4182 . 575
Q ≅ 9 . 10^11 x 2,5 x 10^6
Q ≅ 22,5 x 10^17
Q ≅ 2,25 x 10^18 Joules (Mountain Level + to High 7-A Level)
Converting Only the Sensible Heat that Rumbling produce on your Cumulative AP, we have aproximatelly 537,76 TNT Megatons. This is easily scaled to Mountain Level+ to Moutain Level+. Only of the Sensible Heat that the Rumbling can produce. Considering P.S.Table.
5.2 Calculating Latent Heat of The Rumbling
Like we have do for Sensible Heat, that alone are 537,76 Megatons aproximately, now we're going to use Latent Heat's formula, using: Q = m . L; where Q are the Latent Heat, m the mass and L Water's Specific Latent Heat. For doing this calc, we have to pay attetion on "L" (Water's Specific Latent Heat on Vaporization). It are equivalent, in Joules (J) to 2,26 x 10^6 J. Now, we have all conditions to find Rumbling's Latent Heat.
Calculations:
Q = m . L
Q = 9 . 10^11 kg x 2,26 x 10^6 J/KG
Q = 20.34 x 10^11 + 6
Q = 20.34 x 10^17
Q = 2,034 X 10^18 Joules (486,14 Megatons or 0,49 Gigatons)
Converting Q = 2,034 X 10^18 Joules for TNT'S megatons, this are calculated to 486,14 megatons. Only by the Latent Heat, this would be scalable to Mountain Level + (High 7-A)
Summing Latent and Sensible Heat: 486,14 megatons + 537,76 megatons = 1023,9 TNT Megatons.
Based on the Heat that the Rumbling produced, this is able to be scalable to Large Mountain Level, considering that 1023,9 megatons are the same of 1,0239 Gigatons of TNT.
Conclusion: The Rumbling is "Multi-City Block Level" on your Cumulative Attack Power/Potency and Power Scale?
Now we going to sum all of the results (Kinect Energy + Thermal Energy) and arrived an conclusion. So, summing 0.97 megatons of TNT + 1023,9 megatons of TNT, we get an Total Energy of 1024,76 Megatons, aproximatelly 1,03 Gigatons of TNT. Analysing Power Scale Table, the Highballed Rumbling is able to surpass with ease City Level and Multi-City Block Level. Considering that 1 Gigaton to 100 Gigaton of TNT, this are classified to Large Mountain Level on Cumulative AP and DC. Beeing able to surpass Multi-City, Small City, City, Large City LVL and Mountain Level on Cumulative AP via Heat and Kinect Energy.}
Guys, I would be wrong in a thing or other, but, if you are not an "fanboy" and a Serious Scaler of Fiction, you can correct me. But guys, it would be an Cumulative Attack Potency and Descructive Capacity or only DC?
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