Introduction[]
In RWBY, the team faces off against Cordovin, who's in a giant Mech.
I'll be calculating the Kinetic Energy of the Colossus Mech that Cordovin pilots. This took me a lot longer than I expected, so I hope I did this correctly.
Note: I didn't measure the cannon since it was cut off by this point.
Calculation[]
Scan 1
Ruby Height = 1.57 m (42 px)
Mech Window = 1.53261904762 m (41 px)
Scan 2
Mech Window = 1.53261904762 m (30 px)
Mech Height = 48.8905476191 m (957 px)
Mech Leg (Height) = 27.0251825397 m (529 px)
Mech Leg (Diameter) = 13.8957460318 m (272 px)
Mech Leg (Radius) = 6.94787301588 m
Volume (Legs) = 4098.4746526854 m^3 x 2 = 8196.94930537 m^3
Hollowness is 50%
Legs Volume = 8196.94930537 - 50% = 4098.47465269 m^3
Mech Arm (Height) = 11.5457301587 m (226 px)
Mech Arm (Length/Width) = 5.15981746032 m (101 px)
Volume (Arms) = 307.39024334207 m^3 x 2 = 614.780486684 m^3
Hollowness = 614.780486684 - 50% = 307.390243342 m^3
Mech Head (Axis C) = 17.9316428572 m (351 px)
Mech Head (Axis A/B) = 10.0131111111 m (196 px) / 2 = 5.00655555556 m
Volume (Head) = 1882.7244785341 m^3
I'm going to use 90% hollowness here, since that's where Cordovin pilots and there's a lot of space.
Head Volume = 1882.7244785341 - 90% = 188.272447853 m^3
Mech Shoulder (Axis C) = 10.6261587302 m (208 px)
Mech Shoulder (Axis A/B) = 4.90438095238 m (96 px) / 2 = 2.45219047619 m
Volume (Shoulders) = 267.65373677857 m^3 x 2 = 535.307473557 m^3
Hollowness = 535.307473557 - 50% = 267.653736778 m^3
True Volume = 4098.47465269 + 307.390243342 + 188.272447853 + 267.653736778 = 4861.79108066 m^3
Steel is 8050 kg per m^3
Weight = 4861.79108066 x 8050 = 39137418.1993 kg (Class M)
Okay that was fun, now let's find it's speed.
Scan 3-4
Mech Window = 1.53261904762 m (10 px)
Distance = 23.1425476191 m (151 px)
The video runs at 25 frames per second, I counted to make sure of that. The Mech was able to cross that distance in one frame.
Timeframe = 1/25 = 0.04 seconds
Speed = 23.1425476191/0.04 = 578.563690478 m/s
KE = 6550350312149 J or 1.56 Kilotons (Small Town level)