Calc Little Witch Academia - Vajarois the Mournful

Calculations

Vajarois' breathe sends Akko, Sucy and Lotte fly with such force that it parts the clouds above. Note also the clouds before and after she breathes at them. Before...
Screen_Shot_2018-04-12_at_1.48.47_PM.png

Screen_Shot_2018-04-12_at_2.26.59_PM.png
...and after.
Screen_Shot_2018-04-12_at_1.47.31_PM.png

Screen_Shot_2018-04-12_at_1.47.46_PM.png
The clouds were parted considerably. The clouds seem to resemble stratocumulus clouds, which float around 2000m off the ground and are between 200m to 500m thick (or an average of 350m).
A compi- lation of observed stratocumulus thicknesses from field studies (Fig. 5b) is remarkably consistent with the sat- ellite data, with the majority of cases showing thick- nesses from 200–500 m, a median value of 320 m, and a tendency for thicker clouds (median 420 m) in mid- and high latitudes.
Akko is 162cm tall (1.62m).
Screen_Shot_2018-04-12_at_2.44.05_PM.png
93 pixels = 1.62m
1 pixel = 1.62m/92 = 0.0176086957m
0.0176086957m X 337 = 5.93413045m
Screen_Shot_2018-04-12_at_1.48.27_PM.png
95 pixels = 5.93413045m
1 pixel = 5.93413045m/95 = 0.0624645311m
0.0624645311m X 490 = 30.6076202m

That's how tall Vajarois is, and Akko, Lotte and Sucy are slightly higher than that. Distance to the horizon at 30.6076202m is 19.8km (19800m).

H = 2000m - 30.6076202m
= 1969.39238m

While we're at it, we can also get the speed of her roar.
Screen_Shot_2018-04-12_at_2.21.38_PM.png

Screen_Shot_2018-04-12_at_2.21.42_PM.png

Screen_Shot_2018-04-12_at_2.22.03_PM.png

Screen_Shot_2018-04-12_at_2.22.08_PM.png
3 seconds, 3 frames.

1s/25 = 40ms
40ms X 3 = 0.12s + 3s = 3.12m

T = 1969.39238m/3.12s
= 631.215506/340.29
= Mach 1.85493404
Screen_Shot_2018-04-12_at_2.25.06_PM.png
object degree size = 2*atan(Object_Size/(Panel_Height/tan(70/2)))
= 2*atan(1094/(721/tan(70/2)))
= 1.24664474 rad
= 71.42748215436103 degrees

That's 1369.7m across with the angscaler, or a radius of 684.85m.

Volume as a cylinder.
V = πr^2h
= π X 19800^2 X 350
= 4.31070494e11m^3

Density of a cloud is 1.003kg/m^3.

M = 4.31070494e11 X 1.003
= 432363705482kg

Let's get out timeframe.
Screen_Shot_2018-04-12_at_2.22.03_PM.png

Screen_Shot_2018-04-12_at_2.22.27_PM.png
3 frames.

1s/25 = 40ms
40ms X 3 = 0.12s

T = 684.85m/0.12s
= 5707.08333 m / s

E = (0.5) X 432363705482 X 5707.08333^2
= 7.04121592e18 joules
= 1.68289099426 gigatons

Now for a low end of just the part of the cloud seen moved onscreen.

V = πr^2h
= π X 684.85^2 X 350
= 515713900m^3

M = 515713900 X 1.003
= 517261042kg

E = (0.5) X 517261042 X 5707.08333^2
= 8.42380301e15 joules
= 2.01333723948 megatons

Final Results
Vajarois' height = 30.608m
Vajarois' exhales (energy - low end) = 2.013 megatons
Vajarois' exhales (energy - high end) = 1.683 gigatons
Vajarois' exhales (speed) = Mach 1.855

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