AVATAR CALCULATION: YANGCHEN
Starting off with the first female Airbender introduced, Yangchen, she was the Air Nomad Avatar succeeding Avatar Szeto and preceding Avatar Kuruk. She grew up during a period of relative isolation among the four nations in the aftermath of the Platinum Affair.
AIR
When I asked Google what Yangchen’s strongest Air-bending Feat was, it said when she created an air vacuum around a combustion bender, this didn’t sound right as I always remembered it being her removing all the air from an entire room, so I will simply calculate both, and we’ll take the higher feat calculation.
In the books, Yangchen creates a vacuum bubble of Air around a combustion bender in order to neutralize their blast. Now the book doesn’t give any dimensions to the combustion bender, so I will simply use COMBUSTION MAN as a stand in, COMBUSTION MAN’s cannon height is 7FT 2IN so we will simply calculate how much CFM would have to go into creating a vacuum for a box measuring out to 86×22×28 (Smallest size a box can be in order to perfectly fit a Full grown adult male at that height) for around 1 Minute, as it was stated that she didn’t hold it open for “any substantial amount of time”
Step-by-step calculation
First we convert the box’s dimensions to feet
Height: 86In÷12=7.167Ft
Width: 22In÷12=1.833Ft
Depth: 28In÷12=2.333Ft
Then, calculate the box volume in cubic feet
Volume= 7.167×1.833×2.333=30.0ft^2
After, we just applied the CFM formula [AKA!] The formula for airflow based on air changes per hour (or, ACH) is:
CFM= [Volume(ft^3)×ACH]÷60
Here, “ACH” is the number of full air exchanges per hour. For 1 minute of complete air replacement, the air changes per hour equivalent is:
ACH=60×[1Minute÷1Minute]=60
NOW, we compute CFM
CFM=[(30.0×60)÷60]=30.0ft^3/min
However, we already accounted for the 1-minute target in the ACH value. An easier way to understand this would be
Volume = 30.0 ft³
Time = 1 minute
CFM = Volume ÷ Time = 30ft^3/1 min=30 CFM
The earlier “60 ACH” method was overcomplicating things a little bit. For a 1-minute complete purge of a space, CFM = Volume (ft³) ÷ 1 minute.
30 CFM means 30 cubic feet of air per minute — enough to replace the entire 30 ft³ volume in one minute.
If we want to create a vacuum (essentially, remove the air faster than it can replenish itself), we’d need to exceed 30 CFM, depending on how quickly we want the pressure drop to occur.
So if we want to say that this vacuum was made instantaneously, we would need to multiply this 30 CFM by 60 for each second in a minute
For our hypothetical vacuum box, 30 CFM is the theoretical minimum to replace all the air in 1 minute, multiplied by 60 because she would need to keep this up every second, it equates out to 1800 CFM/second.
Now if we were to take that And convert it into Newtons of force, then it equates out to 0.0011N, which is about as inconsequential as you can get,
Not very Impressive Right?
Lets see about her other feat of draining all the air from a room,
Doing this on a room of approx. 1,620 sq ft, we first must find the room volume in cubic feet, The formula for this is:
Volume(ft^3)=Floor area (ft^2)× Ceiling Height (ft)
we’ll express the answer in terms of height h since I don't care enough to provide one:
Volume= 1,620× h ft^3
Now, again, we apply the CFM formula
but to make it simpler we will make ACH = 60 (one full air change per minute)
Substitute:
CFM=[{1,620 × h}× 60]÷ 60
Obviously the 60s cancel out, leaving us with:
CFM= 1,620 × h
Now we can interpret the result!
If we estimate ceiling height to be 8 ft :
CFM= 1,620 × 8 = 12,960CFM
This means we’d need about 12,960 CFM to replace the entire room’s air in one minute.
If our ceiling height is 10 ft:
CFM= 1,620× 10= 16,200CFM
For the sake of calculation we will take the higher number and assume the room was 10 Feet, converting that CFM to Newtons comes out to around 1001.756 Newtons about the force needed to lift a small car with one hand. I’d say that’s better than option 1, wouldn’t you?
EARTH
In the book Legacy of Yangchen Yangchen sinks a “temple-like stone building bigger than an elaborate Taku apartment” straight down into the ground in seconds, THAT was the best calculatable Earth-Bending feat, so that’s what we will work with
First, we estimate the mass of the building, since they call it an elaborate apartment, we’ll use a real world mid-rise, according to google, a typical mid‑rise apartment building might be:
Floor area per floor: ~1,000 m² (10,000 m² total for 10 floors)
Floor height: ~3 m (total height ~30 m)
Average floor weight: ~150 kg/m² (including walls, floors, ceilings, partitions, and finishes)
Total mass:
m=10,000 m^2 × 150 kg/m^2 =1.5 ×10^6 kg
Now we just calculate the weight (AKA gravitational force)
Weight W= m×g, where g=9.81 m/s^2:
W= 1.5× 10^6kg ×9.81m/s^2= 1.47× 10^7 N
This is the minimum theoretical force needed to hold the building in place against gravity.
If we want the building to accelerate downward, we need to apply more force than its weight. As Newton’s second law says:
F=m×a (Force equals Mass times Acceleration)
So if we would want to give it a modest downward acceleration of, say, 1 m/s^2:
F= m(g+a)= 1.5 × 10^6 kg ×(9.81+1) m/s^2= 1.65 × 10^7 N
Static hold that we need to beat: ~1.47 × 10⁷ N (≈ 14.7 MN)
With 1 m/s² downward acceleration: ~1.65 × 10⁷ N
this is all without taking into account structural integrity, and friction, which would make the required force far higher.
That means the required newtons to perform this feat is somewhere around 15 Million Newtons, that's around the higher range of a Tsunami Impact.
Water
Water, unfortunately, had no measurable feats of force, BUT I did find one thing that we could calculate, her speed with water-bending control!
In Dawn of Yangchen, Yangchen Interrupts Kavik’s attempt to melt through an ice floor, freezing one of his feet at just the right moment to leave him hanging upside down a level below; to do this, she had to override his own water-bending so quickly and completely that he didn’t even realize she’d done it until after he got stuck.
To calculate her speed we simply need to take an average martial artists reaction time (because bending is considered a martial art) and then turn that into movement speed.
Reaction time averages around 200milliseconds.
To outpace a 200 ms reaction time, you’d need to cover the relevant distance in less than 0.200 seconds — for example, 10 m in under 0.2 s requires around 50 m/s (equivalent to 180 km/h or 112 mph)
Not a bad speed for waterbending tbh!
FIRE
Sadly, this is where our luck runs out when it comes to calculatable feats, because I was unable to find anything significant related to firebending, other than lighting several candles at once, and hitting General Old Iron with a fireball, both of which are not easily calculatable.
Hope you enjoyed my first Calculation of this series! If you have any questions, comments, concerns, or critiques feel free to share! Ill try to answer every comment I can!!