Intro[]

It's...been a while since I've made one of these.

Let's get started, shall we?

Meteor Mass[]

Let's start with the mass of this thing. I couldn't find official sources for Erza's height but found a lot saying she was around 1.69 to 1.7m so I just used the lower end. If I can get an official size, that would be best.

Volume[]

Volume = ⁴⁄₃ * π * a * b²

• Volume = ⁴⁄₃ * π * 18.61m * 12.815²
• Volume = ⁴⁄₃ * π * 18.61m * 164.224
• Volume = ⁴⁄₃ * π * 3056.213
• Volume = ⁴⁄₃ * 9601.376
• Volume = 12801.83435m³

Mass[]

Mass = Volume * Density (Density of meteor = 3350 ^kg⁄_m³)

• Mass = 12801.83435m³ * 3350 ^kg⁄_m³
• Mass = 42886145.09kg

Meteor Speed[]

This one delayed me a bit since I had to talk to Alex about it. So, I used a frame-by-frame to determine the speed of the meteor from the anime and since I was scaling the timeframe from the anime, I also angle sized from the anime.

True Distance (Earth Radius Subtracted) = 87,952.51km

Now comes the part that might be debated but I'll show my reasoning. So, I used frame-by-frame and found the timeframe for the meteor traveling from its angle sized distance to earth to be exactly 6 seconds. Look below.

As you can see, at frame 07372, the meteor is at the distance we angle sized or 87,952.51km away from Earth. And literally within the same frame, we see it beginning to accelerate towards Earth which is why this is the frame we should be starting with. Next, it hits the Earth at frame 07522.

Timeframe[]

Time = (Final Frame - Initial Frame) ÷ 25fps (that is my framerate)

• Time = (07522 - 07372) ÷ 25fps
• Time = 150 frames ÷ 25fps
• Time = 6s

Speed[]

Speed = ^Distance⁄_Time

• Speed = ^87,952,510m⁄_6s
• Speed = 14,658,751.67^m⁄_s
• Speed = Mach 42,736.885
• Speed = 4.85 % SoL

Factoring in the 7/10 drop in speed from entering Earth's atmosphere

• Speed = 10,261,126.17^m⁄_s
• Speed = Mach 29,915.82
• Speed = 3.396% SoL

Note: I talked to Alex and he said the timeframe is chillin

Deus Sema AP[]

Basic KE calc

KE = ¹⁄₂ * mass * velocity²

• KE = ¹⁄₂ * 42886145.09kg * (10,261,126.17^m⁄_s)²
• KE = ¹⁄₂ * 42886145.09kg * 1.053E+14
• KE = ¹⁄₂ * 4.5155E+21
• KE = 2.25775E+21J

Erza's Speed[]

There's gonna be two ends to this but before that, I will note that I didn't use Mitch's method of scaling the height of impact, getting the timeframe, and finding Erza's speed from that. Alex said that the method wasn't accurate, one of the reasons being that scaling that way assumes that the impact took place in the same plane as Irene when in fact it took place some distance in front of her. As such, scaling her height then the distance of the impact to the ground isn't quite correct. That being said, I decided to use a couple of different methods to find Erza's Speed.

Speed One[]

We see that Erza's hand is right behind her and that she brings it up at a 180^o arc when she slashes at the meteor. All we need to do for this one is measure the closest distance we can measure between Erza and the meteor and we can figure out her arm speed.

Timeframe = ^Distance⁄_Velocity

• Timeframe = ^9.717m⁄_{10,261,126.17^m⁄s}
• Timeframe = 9.46972E-7s

AlexSoloVaAlFuturo just told me that this portion of the calc was off because I did not include the length of Erza's sword when calculating the distance her arm traveled. My apologies

Add the sword length to her arm length

• 1.2856m + 0.7436m = 2.0292m

Distance Erza's Arm Traveled = π * r

• Distance = π * 2.0292m
• Distance = 6.37492m

Speed = ^Distance⁄_Time

• Speed = ^6.37492m⁄_9.46972E-7s
• Speed = 6,731,898.95^m⁄_s
• Speed = Mach 19,626.53
• Speed = 2.23% SoL

Speed Two[]

What I've shown above are the back-to-back pages of Erza's position before and after she swung her sword. As you can see, she appears to have swung her sword right as she got in range to do so as in the panel before she swung her sword, she had already seemingly crashed into the meteor. Thus, one can argue she swung her sword right when she was in range and not 9.717m before. To accurately calculate this, I will have to find the length of Erza's sword and add that to her arm.

Add the sword length to her arm length

• 1.2856m + 0.7436m = 2.0292m

Timeframe = ^Distance⁄_Velocity

• Timeframe = ^2.0292m⁄_{10,261,126.17^m⁄s}
• Timeframe = 1.977560714E-7s

Distance Erza's Arm Traveled = π * r

• Distance = π * 2.0292m
• Distance = 6.37492m

Speed = ^Distance⁄_Time

• Speed = ^6.37492m⁄_{1.977560714E-7s}
• Speed = 32,236,279.55^m⁄_s
• Speed = Mach 93,983.32
• Speed = 10.67% SoL

Conclusions[]

Deus Sema Yield[]

• 2.25775E+21 joules
• 539.6 Gigatons TNT
• High 6-C (Large Island level)

Erza's Speed[]

• Low-End = Mach 19,627 (2.23% SoL)
• High-End = Mach 93,983 (10.67% SoL)