Introduction[]
Eva's asked by Amalia to bring water. She decides it's best to make it rain.
Basic values and scaling[]
Distance to the clouds = 2000 m
Cloud's semi-minor axis = 325 px
Cloud's semi-major axis = 376 px
Screen height = 360 px
Angsizing the cloud and solving for size
Cloud's semi-minor axis = 1264.263 m
Cloud's semi-major axis = 1462.65 m
Calculation[]
Energy of the arrow[]
The arrow made the cloud rain so I'll be taking condensation enegy for the rain made.
First, I'll be needing the surface area in which the rain dropped. For that I'll be using the cloud's surface area since the scene was from directly below the cloud.
Surface area of the cloud = Semi-minor axis*Semi-major axis*Pi
Surface area of the cloud = 5809377.95 m^2
Since it was a light shower, I'll be taking 0.01 m for the rain's depth.
Volume of the rain = 58093.779 m^3
Density of water = 1000 kg/m^3
Mass of water = 58093779.535 kg
Latent heat of condensation = 2.5e6 joules/kg
Energy to make it rain = 145234448838923.59 joules or 34.711 kilotons (Town)
Speed of the arrow[]
It took the arrow 3 frames to get to the cloud
Time frame = number of frames/video frame rate
Time frame = 0.1 second
Distance = 2000 m
Speed = 20000 m/s or mach 58.82 (High hypersonic+)
Conclusion[]
Arrow's energy = 34.711 kilotons (Town)
Arrow's speed = mach 58.82 (High hypersonic+)