Introduction and feat[]
Ingrid summons a thunderstorm that shakes the mountain in order to catch Anna as a prisioner. The feat happens in S04E06.
Assumptions[]
- Let's find the horizon at their height. As the storm stretches far beyond the horizon, it won't be a problem for the calculation.
- The actress who plays Anna, Elizabeth Lail, is 5'8, or 1.7 metres.
- I'll use Mount Wycherproof's (the smallest mountain on Earth) height - which is 148 metres -, as I couldn't find a way to scale the mountain's actual height. This is likely a low-end then.
148 + 1.7 = 149.7 metres
Using Ringbell.
So the horizon at 149.7 metres is 43.7 km. This is the number I'll use.
- Average height of storm clouds: 13 km
The calculation[]
To get KE, I'll need mass and speed. To get mass I'll need volume and density. I've got density, 1.003 kg/m³, so I'll need volume.
Volume[]
Cylinder Volume Formula
- V = π * r² * h
V = π * 43.7² * 13
V ≅ 77993 km³ or 7.7993x10^13 m³
Density is 1.003 kg/m³, which means 78226979000000 kg, or 7.8226979x10^13 kg
Speed[]
Belle and Anna hear the thunder at 0:5 and the storm has reached to them at 0:14. So, 9 seconds.
It traveled at least its radius.
43700 metres / 9 seconds = 4855.6 m/s
Kinetic Energy[]
Kinetic Energy formula
- KE = 1/2 * (M * Velocity²)
KE = 0.5 * (7.8226979x10^13 * 23576851,36)
KE = 0.5 * 184447588823841440000
KE = 92223794411920720000 joules or 9,222379441192072x10^19
Final Tally[]
Ingrid's storm: 9,222379441192072x10^19 joules or 22.042015873 gigatons; 6-C (Island level)
Nothing surprising since this little stick can do this with little amount of fairy dust and since Ingrid is much stronger than basically any fairy except Fiona (we all could see it when the entire Convent of the Sisters of Saint Meissa - a.k.a fairies - could not find a solution to Ingrid's spell).
Edit by Darkanine[]
The storm doesn't reach horizon-to-horizon, as evident in a couple shots, so I think using the horizon as diameter rather then radius is more appropriate here. That gives us a radius of 21.85 km
π * 21.85^2 = 1,499.86701866 km^2
1499.86701866 * 13 = 19,498.2712426 km^3 (19,498,271,242,600 m)
19,498,271,242,600 * 1.003 = 1.9556766e+13 kg
The timeframe isn't very well defined, so I'd be more comfortable with C.A.P.E. instead. Aside from powerful winds, the storm seems pretty weak, so I think 2.5 kj is appropriate.
1.9556766e+13 * 2.5 = 4.8891915e+13 KJ
11.68 Megatons (7-B, City level)