Even more cute, cuddly and horribly wrong calcs! As always, be cautious of violence and gore.
1. Average Happy Tree Friend height
We're reaching the point that we need to scale off the characters to find our results. I don't feel average heights are justified in HTF, so we'll scale one of the non-anthropomorphic characters to an anthropomorphic one. The example we'll use is Nutty to the Cow (from Dunce Upon A Time). The average height of a cow is in between 1.6m and 1.8m (or an average of 1.7m).
1.7m = 458 pixels
1 pixel = 1.7m/458 = 0.00371179039m
0.00371179039m X 300 = 1.11353712m
0.00371179039m X 206 = 0.76462882m
0.00371179039m X 170 = 0.631004366m
0.00371179039m X 183 = 0.679257641m
Most of the HTF characters are the same size, so this should make further scaling much easier (although Nutty seems to have a larger head).
2. Petunia's treehouse explodes
0:49
Petunia's house explodes, which she survives (the first of two decent explosions she survives in that episode; infact she survives the episode, barely).
132 pixels = 0.679257641m
1 pixel = 0.679257641m/132 = 0.00514589122m
0.00514589122m X 1378 = 7.0910381m
7.0910381m/2 = 3.54551905m
The explosion is a fireball, so we can find this using various online nuke calculators. The explosion is too small to calc via Nukemap, but playing around with the MIT nuke calculator and we get a fireball radius for 3.5m for an explosion of 0.00171 kilotons (1.71 tons of TNT) for "fireball radius at breakaway for contact surface burst". Unfortunately, I could find no other nuke calculator to work well for such a small fireball (they all had results in the hundreds of tons of TNT, which felt way off). Still, that's a lot higher than I expected! Remember as well that the explosion expands offscreen, so ultimately it would be even bigger.
3. Sniffles blocks a doorway
2:44
In order to (unsuccessfully) stop the Sentient Earthquake, Sniffles moves at incredible speeds to block the door, finally moving a massive Easter Island statue in front of the door.
130 pixels = 0.679257641m
1 pixel = 0.679257641m/130 = 0.00522505878m
= 0.203257303 rad
= 11.6457856171406551 degrees
Enter these values into the angscaler and we have a distance of 3.3303m to Sniffles.
Timeframe is 1 frame.
152 pixels = 0.679257641m
1 pixel = 0.679257641m/152 = 0.00446880027m
0.00446880027m X 319 = 1.42554729m
The above is our low end. We'll use the previous scaling as well as the directly above for our high end.
0.00522505878m X 319 = 1.66679375m
Now, let's get the distance forward Sniffles moved in that timeframe.
= 0.23735563 rad
= 13.599475842702484 degrees
That's a distance of 2.8483m to Sniffles.
L = 3.3303m - 2.8483m
= 0.482m
With all of that finally in our hands, let's find the distance Sniffles moved using the diagonal calculator. This gets us 1.5048m for our low end and 1.735m for our high end. Now, it's finally time to get our speed!
T = 1s/24
= 41.6666667ms
(Low end)
T = 1.5048m/41.6666667ms
= 36.1152m/s
(High end)
T = 1.735m/41.6666667ms
= 41.64m/s
Decent, but not as high as I was expecting. Although as he seems to be in the same place twice, chances are that this is a low ball anyway. We're not done yet though; we still need the energy of moving the Easter Island statue (Moai). Most Moai are made of tuff, which is composed of volcanic ash, which weighs between 700kg per m^3 and 3300kg per m^3.
Timeframe is 1 second and 17 frames.
T = 41.6666667ms X 17
= 0.708333334s + 1s
= 1.70833333s
105 pixels = 0.679257641m
1 pixel = 0.679257641m/105 = 0.00646912039m
698 - 2 = 696 pixels
0.00646912039m X 696 = 4.50250779m
0.00646912039m X 181 = 1.17091079m
1.17091079m/2 = 0.585455395m
0.00646912039m X 530 = 3.42863381m
We'll find out volume as a cylinder (it's not completely accurate, but there's a lot of fiddly scaling here I can't be bothered with).
V = πr^2h
= π X 0.585455395^2 X 3.42863381
= 3.69197372m^3
(Low end)
M = 3.69197372 X 700kg
= 2584.3816kg (2.5843816 tons)
(High end)
M = 3.69197372 X 3300kg
= 12183.5133kg (12.1835133 tons)
With our low end and our high end, let's get our kinetic energy!
T = 4.50250779m/1.70833333s
= 2.63561432m/s
(Low end)
KE = (0.5)mv^2
= (0.5) X 2584.3816 X 2.63561432^2
= 8976.15538 joules
(High end)
KE = (0.5)mv^2
= (0.5) X 12183.5133 X 2.63561432^2
= 42316.1612 joules
4. Lumpy launches Cuddles into space
Let's save the best until last!
3:25
Lumpy launches Cuddles into space by accident. Cuddles actually survives the journey up, but dies when he's frozen and shattered by a passing satellite.
Timeframe is 4.16 seconds.
R = (60/2) + 793^2/(8 X 60)
= 1340.10208 pixels
The radius of the Earth is 6378km.
= 1.4454369 rad
= 82.81743392267866 degrees
Enter that through the angscaler again and we have a distance of 3616.1km to the Earth.
T = 3616.1km/4.16s
= 869254.808/340.29
= Mach 2554.45299
With a speed that juicy, we can't possibly go past kinetic energy! Once again, we'll use the average weight of a 10 year old boy for our low end and the average weight of a 12 year old boy for our high end, those being 32kg to 39.9kg.
(Low end)
E = (0.5)mv^2
= (0.5) X 32 X 869254.808^2
= 1.20896627e13 joules
= 2.8894987332695985 kilotons
(High end)
E = (0.5)mv^2
= (0.5) X 39.9 X 869254.808^2
= 1.50742982e13 joules
= 3.6028437380497134 kilotons
Final Results
Average Happy Tree Friend height = 1.114 meters
Petunia's treehouse explodes = 1.71 tons of TNT
Sniffles moves to block door (low end) = 36.115 m/s
Sniffles moves to block door (high end) = 41.64 m/s
Sniffles moves Moai statue (low end) = 8976.155 joules
Sniffles moves Moai statue (high end) = 42316.161 joules
Lumpy launches Cuddles into space (speed) = Mach 2554.453
Lumpy launches Cuddles into space (energy - low end) = 2.889 kilotons
Lumpy launches Cuddles into space (energy - high end) = 3.603 kilotons
1. Average Happy Tree Friend height
We're reaching the point that we need to scale off the characters to find our results. I don't feel average heights are justified in HTF, so we'll scale one of the non-anthropomorphic characters to an anthropomorphic one. The example we'll use is Nutty to the Cow (from Dunce Upon A Time). The average height of a cow is in between 1.6m and 1.8m (or an average of 1.7m).
1 pixel = 1.7m/458 = 0.00371179039m
0.00371179039m X 300 = 1.11353712m
0.00371179039m X 206 = 0.76462882m
0.00371179039m X 170 = 0.631004366m
0.00371179039m X 183 = 0.679257641m
Most of the HTF characters are the same size, so this should make further scaling much easier (although Nutty seems to have a larger head).
2. Petunia's treehouse explodes
0:49
1 pixel = 0.679257641m/132 = 0.00514589122m
7.0910381m/2 = 3.54551905m
The explosion is a fireball, so we can find this using various online nuke calculators. The explosion is too small to calc via Nukemap, but playing around with the MIT nuke calculator and we get a fireball radius for 3.5m for an explosion of 0.00171 kilotons (1.71 tons of TNT) for "fireball radius at breakaway for contact surface burst". Unfortunately, I could find no other nuke calculator to work well for such a small fireball (they all had results in the hundreds of tons of TNT, which felt way off). Still, that's a lot higher than I expected! Remember as well that the explosion expands offscreen, so ultimately it would be even bigger.
3. Sniffles blocks a doorway
2:44
1 pixel = 0.679257641m/130 = 0.00522505878m
= 2*atan(130/(604/tan(70/2)))
= 0.203257303 rad
= 11.6457856171406551 degrees
Enter these values into the angscaler and we have a distance of 3.3303m to Sniffles.
152 pixels = 0.679257641m
1 pixel = 0.679257641m/152 = 0.00446880027m
0.00446880027m X 319 = 1.42554729m
The above is our low end. We'll use the previous scaling as well as the directly above for our high end.
0.00522505878m X 319 = 1.66679375m
Now, let's get the distance forward Sniffles moved in that timeframe.
= 2*atan(152/(604/tan(70/2)))
= 0.23735563 rad
= 13.599475842702484 degrees
That's a distance of 2.8483m to Sniffles.
L = 3.3303m - 2.8483m
= 0.482m
With all of that finally in our hands, let's find the distance Sniffles moved using the diagonal calculator. This gets us 1.5048m for our low end and 1.735m for our high end. Now, it's finally time to get our speed!
T = 1s/24
= 41.6666667ms
(Low end)
T = 1.5048m/41.6666667ms
= 36.1152m/s
(High end)
T = 1.735m/41.6666667ms
= 41.64m/s
Decent, but not as high as I was expecting. Although as he seems to be in the same place twice, chances are that this is a low ball anyway. We're not done yet though; we still need the energy of moving the Easter Island statue (Moai). Most Moai are made of tuff, which is composed of volcanic ash, which weighs between 700kg per m^3 and 3300kg per m^3.
T = 41.6666667ms X 17
= 0.708333334s + 1s
= 1.70833333s
105 pixels = 0.679257641m
1 pixel = 0.679257641m/105 = 0.00646912039m
698 - 2 = 696 pixels
0.00646912039m X 696 = 4.50250779m
0.00646912039m X 181 = 1.17091079m
1.17091079m/2 = 0.585455395m
0.00646912039m X 530 = 3.42863381m
We'll find out volume as a cylinder (it's not completely accurate, but there's a lot of fiddly scaling here I can't be bothered with).
V = πr^2h
= π X 0.585455395^2 X 3.42863381
= 3.69197372m^3
(Low end)
M = 3.69197372 X 700kg
= 2584.3816kg (2.5843816 tons)
(High end)
M = 3.69197372 X 3300kg
= 12183.5133kg (12.1835133 tons)
With our low end and our high end, let's get our kinetic energy!
T = 4.50250779m/1.70833333s
= 2.63561432m/s
(Low end)
KE = (0.5)mv^2
= (0.5) X 2584.3816 X 2.63561432^2
= 8976.15538 joules
(High end)
KE = (0.5)mv^2
= (0.5) X 12183.5133 X 2.63561432^2
= 42316.1612 joules
4. Lumpy launches Cuddles into space
Let's save the best until last!
3:25
Timeframe is 4.16 seconds.
R = (60/2) + 793^2/(8 X 60)
= 1340.10208 pixels
The radius of the Earth is 6378km.
= 2*atan(1340.10208/(720/tan(70/2)))
= 1.4454369 rad
= 82.81743392267866 degrees
Enter that through the angscaler again and we have a distance of 3616.1km to the Earth.
T = 3616.1km/4.16s
= 869254.808/340.29
= Mach 2554.45299
With a speed that juicy, we can't possibly go past kinetic energy! Once again, we'll use the average weight of a 10 year old boy for our low end and the average weight of a 12 year old boy for our high end, those being 32kg to 39.9kg.
(Low end)
E = (0.5)mv^2
= (0.5) X 32 X 869254.808^2
= 1.20896627e13 joules
= 2.8894987332695985 kilotons
(High end)
E = (0.5)mv^2
= (0.5) X 39.9 X 869254.808^2
= 1.50742982e13 joules
= 3.6028437380497134 kilotons
Final Results
Average Happy Tree Friend height = 1.114 meters
Petunia's treehouse explodes = 1.71 tons of TNT
Sniffles moves to block door (low end) = 36.115 m/s
Sniffles moves to block door (high end) = 41.64 m/s
Sniffles moves Moai statue (low end) = 8976.155 joules
Sniffles moves Moai statue (high end) = 42316.161 joules
Lumpy launches Cuddles into space (speed) = Mach 2554.453
Lumpy launches Cuddles into space (energy - low end) = 2.889 kilotons
Lumpy launches Cuddles into space (energy - high end) = 3.603 kilotons
