Millenniums previous to the events of Skyward Sword, Hylia charged the sky leviathan Levias with the title of "Warden of the Skies". He was to protect the Isle of Songs as well as Skyloft, and he was presented one of the keys to the Sky Keep dungeon. However, he was infected by a parasite soon before the beginning of the game, which drove him mad. In this madness, his ambient magical energy was strong enough to create and maintain a giant Thunderhead northwest of Skyloft. I'm looking to calc it.
http://www.narutoforums.com/blog.php?b=21698
The width of the map is 3732km.
(3732000/1263)385=1137624.7m
(3732000/1263)365=1078527.316m
Now I will use these diameters to calculate the volume of the hemispherical shell.
(4/3)pi*(1137624.7/2)^3=770895766816599132.8m^3
(4/3)pi*(1078527.316/2)^3=656889120902618348.86m^3
770895766816599132.8-656889120902618348.86=114006645913980783.94m^3
114006645913980783.94/2=57003322956990391.97m^3
Cloud density is 1.003kg/m^3 or something, right?
57003322956990391.97*1.003=57174332925861363.14591kg
Now to get the moment of inertia. For a hemispherical shell, the formula would be...
I=(2/3)mr^2
I=(2/3)57174332925861363.14591*(1137624.7/2)^2
I=12332407921810399503314067742kg*m^2
I had a harder time with angular velocity simply because it was hard to find a reference point from which to scale, but it does noticeably rotate per frame. Therefore, I will use 1px per frame (25fps frame rate) as a low-end.
theta=s/r
theta=1/(703/2)
theta=0.0028449502133713
Now that I have the angular displacement, I can get the angular velocity.
w=theta/t
w=0.0028449502133713/(1/25)
w=0.0711237553342825 rad/s
And, finally, the rotational kinetic energy...
KE=.5Iw^2
KE=.5(12332407921810399503314067742)0.0711237553342825^2
KE=31192288894502867834922570.745J
or about 7.455 petatons.
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