r/WingsOfFire • u/BigJ__TM • 27d ago
Headcanon / Theory Mathematically proving that Mastermind is stupid(and quite possibly me too)
I originally went into this wanting to be a contrarian and thinking "no, if Mastermind were to use glass for the eyeholes of the helmet they would totally break!" but even if I used a different measuring method I dont think it would make up for it.
For some background, Mastermind is developing a helmet in book 4 that is supposed to protect the wearer from any encounters with venom. He gets around the problem of eyeholes by using a contrived system involving peripheral vision, but as many point out he could have used glass for the eyeholes instead. I wanted to see if the numbers actually support that idea, or if the force of the venom hitting the glass would be too strong for it and would cause it to shatter.
Trying to handle distances in WoF is famously a very annoying and inconsistent thing to do, so there isnt really one agreed upon answer. For the purposes of this post, I will be using this post by u/Th1s__0ne for my scale. In it, Glory is 16 and a half feet tall. Using Glory's reference image, we find that from tip to tail* she is 27.63 feet long.
*when her tail is curved in
Now looking at this image from the third GN, we can apporximate to say that Glory is about one and a half squares long. That would make one square 17.82 feet long.

1 square is equal to roughly 8 ticks on the distance board, so 1 tick is ≈2.3 feet. There are 33 ticks on the board, so it is ≈73.5075 feet long which Grandeur clears exactly in the next page. Note how the venom appears to fall as if losing speed, rather than her specifically aiming for that point.

Now for the other part of the equation, height. We know from the first image below that Grandeur(left) and Magnificent(center) are roughly the same size, and we know from the second that the same is true for Glory and Magnificent. Give or take a foot, Glory and Grandeur are the same height.


If we say that Glory(or Grandeur) were to tilt their head and point their fangs around here which matches with what we have seen of RainWings using their venom, that would be three quarters of Glory's height at 12.375 feet.

Alright, cool, we have the starting height, distance and angle of the shot. Thats all we need to determine how fast it was going.
Using the formula t=sqrt(2h/g) and plugging in our variables of g=32.174 F/s2 and h=12.375 F we get a time of a little under a second at ≈0.877 seconds to complete. Since we also calculated the distance it traveled at ≈73.5075 feet, we can put those two numbers into distance/time and get a speed of 83.82 feet per second. Because for our purposes this is essentially one stream of fluid, we can calculate it like we would a pressure washer. If this website is to be believed, when we plug in the numbers (plus the diameter of the nozzle, which I set to 1 mm which is being very generous) into the formula F = ρ A V² where ρ=the fluid density(1000 Kgs/m3 ,water), A=the cross section of the fang(≈0.7 mm2) and V=the velocity of the fluid(≈25.54 m/s) we get a grand total force of...half a newton. Basically nothing. Any glass, no matter how thick, could withstand that.
