More Legotons to be had, from various Lego Star Wars titles (Th Quest For R2-D2, The Empire Strikes Out). As yet another note, Lego Star Wars: The Skywalker Saga is not the only Lego Star Wars source to confirm that the versions of the Lego vechiles we see in the games and the shows are the same size as their canon counterparts, as a book I saw in the shops the other day also confirms this (I just took a photo as an example without buying it, don't tell the shopkeepers).
1. Ahsoka destroys a meteorite
An exogorth tries to eat Anakin, but grabs an asteroid instead. Ahsoka destroys the asteroid in her starfighter, which causes the space slug to loose its teeth and cough. Looking up the ships used, Anakin is piloting a BTL B-Y Y-Bomber, which are 23.04m long.
1744 pixels = 23.04m
1 pixel = 23.04m/1744 = 0.0132110092m
0.0132110092m X 138 = 1.82311927m
56 pixels = 1.82311927m
1 pixel = 1.82311927m/56 = 0.0325557012m
0.0325557012m X 45 = 1.46500655m
0.0325557012m X 643 = 20.9333159m
20.9333159m/2 = 10.466658m
0.0325557012m X 760 = 24.7423329m
24.7423329m/2 = 12.3711665m
67 pixels = 1.46500655m
1 pixel = 1.46500655m/67 = 0.0218657694m
0.0218657694m X 588 = 12.8570724m
12.8570724m/2 = 6.4285362m
Volume as an ellipsoid.
V = 4/3πabc
= 4/3 X π X 10.466658 X 12.3711665 X 6.4285362
= 3486.73859m^3
The explosion looks pretty violent (fireball, fragments and teeth are flung everywhere fast). Violent fragmentation of rock is 69000000 joules/m^3.
E = 3486.73859 X 69000000
= 240584962710 joules
= 57.5011861161568 tons of TNT
2. Palpatine opens the Death Star box
Palpatine has the brilliant idea of making yet another Death Star, which comes in a giant Lego box, which he opens with the Force. Firstly, we'll need the distance to the box, which we can find when we later see the distance to the Death Star.
= 0.252502856 rad
= 14.4673479638354632 degrees
Before we get to getting the time, I need to point out that the FPS of this video is 30 frames rather than the usual 24 frames.
Enter this through our angscaler and we have a distance of 630.29km to the Death Star in making (using the diameter of the first Death Star, that being 160km).
Timeframe is 2 seconds and 5 frames.
T = 1s/30
= 33.3333333ms X 5
= 0.166666667s + 2s
= 2.16666667s
= 0.527071635 rad
= 30.1989801866347136 degres
Using our above distance of 630.29km, we have a length of 340.12km for the boxes longer side.
328 pixels = 340.12km
1 pixel = 340.12km/328 = 1.03695122km
1.03695122km X 5 = 5.1847561km (5184.7561m)
1.03695122km X 158 = 163.838293km (163838.293m
1.03695122km X 46 = 47.6997561km (47699.7561m)
1.03695122km X 57 = 59.1062195km (59106.2195m)
1.03695122km X 34 = 35.2563415km (35256.3415m)
1.03695122km X 37 = 38.3671951km (38367.1951m)
We'll also ned the thickness of the side of the box, which we have a better shot of a bit earlier.
1.03695122km X 67 = 69.4757317km (69475.7317m)
There are four flaps, so we'll calc the flaps as rectangular prisms, then times each by two, as there are four of them with two of the same size.
V = lhw
= 69475.7317 X 47699.7561 X 5184.7561
= 1.71821545e13 X 2
= 3.4364309e13m^3
V = lhw
= 163838.293 X 47699.7561 X 5184.7561
= 4.05191106e13 X 2
= 8.10382212e13m^3
V = 3.4364309e13 + 8.10382212e13
= 1.1540253e14m^3
Cardboard has a weight of around 155kg/m^3 on average, although corrugated cardboard can weigh as little as 30kg/m^3, while cardboard can weigh up to 689kg/m^3. We'll use those as our mid end, our low end and our high end respectively.
(Low end)
M = 1.1540253e14 X 30kg
= 3.4620759e15kg
(Mid end)
M = 1.1540253e14 X 155kg
= 1.78873922e16kg
(High end)
M = 1.1540253e14 X 689kg
= 7.95123432e16kg
With all of this in hand, let's find the distance the lid flaps moved. They opened as a curve, so we'll need the angle they moved to get our final results. Using this right-angled calculator (with 35256.3415m for a and 38367.1951 for b) we get a degrees of 42.58° for ∠α.
D = 90° - 42.58°
= 47.42°
Given the flap has already moved 90°, we'll add 90 on for our final degrees.
D = 90° + 47.42°
= 137.42°
Enter that through this arc length calculator (using a radius of 47699.7561m) and we end up with an arc length of 114404.6m. With all of the complex maths finally out of the way, we can finally get our brickatons and speed!
T = 114404.6m/2.16666667s
= 52802.123/340.29
= Mach 155.168013
(Low end)
KE = (0.5)mv^2
= (0.5) X 3.4620759e15 X 52802.123^2
= 4.82624493e24 joules
= 1.1535002222753347745 petatons
(Mid end)
KE = (0.5)mv^2
= (0.5) X 1.78873922e16 X 52802.123^2
= 2.49355989e25 joules
= 5.959751171128107039 petatons
(High end)
KE = (0.5)mv^2
= (0.5) X 7.95123432e16 X 52802.123^2
= 1.10842759e26 joules
= 26.49205521032504862 petatons
3. Palpatine empties the box
Palpatine then empties the Death Star box. Unfortunately, most of this is done off screen, but we can still have some key hints to how long it took as a low end and a high end, as we see individual packets of Lego coming out of the box in the above clip.
Timeframe is 3 seconds and 28 frames.
T = 33.3333333ms X 28
= 0.933333332s + 3s
= 3.93333333s
1.03695122km X 125 = 129.618902km
T = 129.618902km/3.93333333s
= 32953.9582/340.29
= Mach 96.840807
High end or low end, moving that still counts as a sped feat. As for our kinetic energy, previously, I calculated the Death Star to weigh 2.19956389e17kg.
KE = (0.5)mv^2
= (0.5) X 2.19956389e17 X 32953.9582^2
= 1.1943229e26 joules
= 28.545002390057362618 petatons
I think that should be safe, but let's also go for a low end of when we see the box is empty.
Timeframe is 3 minutes (180 seconds), 30 seconds and 8 frames.
T = 33.3333333ms X 8
= 0.266666666s + 30s
= 30.2666667s + 180s
= 210.266667s
Later in the video, we see Palpatine has begun putting together his new Dath Star, and we see how far spread out the pieces are (tis happens later, but as the box is already emptied, it should serve as a good indicator of the distance).
131 pixels = 160km
1 pixel = 160km/131 = 1.22137405km
1.22137405km X 769 = 939.236644km
T = 939.236644km/210.266667s
= 4466.88321m/s
KE = (0.5)mv^2
= (0.5) X 2.19956389e17 X 4466.88321^2
= 2.19439993e24 joules
= 524.47417065009562975 teratons
Finally, for our absolute low end minimum, let's use the timeframe to that shot of the Death Star being built (which I feel is too much of a low end, but I feel it's good to be absolutely sure).
Timeframe is 8 minutes (480 second), 54 seconds and 29 frames.
T = 33.3333333ms X 29
= 0.966666666s + 54s
= 54.9666667s + 480s
= 534.966667s
T = 939.236644km/534.966667s
= 1755.6919m/s
KE = (0.5)mv^2
= (0.5) X 2.19956389e17 X 1755.6919^2
= 3.39002731e23 joules
= 81.02359727533460898 teratons
I think the high end would be closest, as we see multiple packets being removed from the box at a time, but even if you assume he took out the satchets a few at a time, the low end and mid end still serve as estimates of the energy he was outputting over that timeframe (and are lower than or comparable him lifting the lids off in anycase.
4. Darth Maul makes the Darth Star
Palpatine goes to watch over a battle Naboo, while Darth Maul finishes the Death Star,with his own spin on it. Unfortunately, the energy to put the Death Star together is difficult to gauge, as it happened piece by piece with both Palpatine and Maul, plus the Death star is incomplete when Palpatine leaves it and Maul starts on it (although on average the above should be applicable). Fortunately, the speed is a no brainer.
150 pixels = 160km
1 pixel = 160km/150 = 1.06666667km
Timeframe is 2 seconds and 6 frames.
T = 33.3333333ms X 6
= 0.2s + 2s
= 2.2s
1.06666667km X 340 = 362.666668km
T = 362.666668km/2.2s
= 164848.485/340.29
= Mach 484.43529
Final Results
Ahsoka destroys a meteorite = 57.501 tons of TNT
Palpatine opens giant Death Star box (speed) = Mach 155.168
Palpatine opens giant Death Star box (energy - low end) = 1.154 petatons
Palpatine opens giant Death Star box (energy - mid end) = 5.96 petatons
Palpatine opens giant Death Star box (energy - high end) = 26.492 petatons
Palpatine extracts giant Lego satchets = Mach 96.841
Palpatine empties giant Death Star box (low end) = 81.0236 teratons
Palpatine empties giant Death Star box (mid end) = 524.474 teratons
Palpatine empties giant Death Star box (high end) = 28.545 petatons
Darth Maul constructs the Darth Star = Mach 484.435
I'm not 100% sure about the emptying the box one, but the opening the box one is more impressive for the most part anyway.
1. Ahsoka destroys a meteorite
An exogorth tries to eat Anakin, but grabs an asteroid instead. Ahsoka destroys the asteroid in her starfighter, which causes the space slug to loose its teeth and cough. Looking up the ships used, Anakin is piloting a BTL B-Y Y-Bomber, which are 23.04m long.
1 pixel = 23.04m/1744 = 0.0132110092m
0.0132110092m X 138 = 1.82311927m
1 pixel = 1.82311927m/56 = 0.0325557012m
0.0325557012m X 45 = 1.46500655m
0.0325557012m X 643 = 20.9333159m
20.9333159m/2 = 10.466658m
0.0325557012m X 760 = 24.7423329m
24.7423329m/2 = 12.3711665m
1 pixel = 1.46500655m/67 = 0.0218657694m
0.0218657694m X 588 = 12.8570724m
12.8570724m/2 = 6.4285362m
Volume as an ellipsoid.
V = 4/3πabc
= 4/3 X π X 10.466658 X 12.3711665 X 6.4285362
= 3486.73859m^3
The explosion looks pretty violent (fireball, fragments and teeth are flung everywhere fast). Violent fragmentation of rock is 69000000 joules/m^3.
E = 3486.73859 X 69000000
= 240584962710 joules
= 57.5011861161568 tons of TNT
2. Palpatine opens the Death Star box
Palpatine has the brilliant idea of making yet another Death Star, which comes in a giant Lego box, which he opens with the Force. Firstly, we'll need the distance to the box, which we can find when we later see the distance to the Death Star.
= 2*atan(191/(713/tan(70/2)))
= 0.252502856 rad
= 14.4673479638354632 degrees
Before we get to getting the time, I need to point out that the FPS of this video is 30 frames rather than the usual 24 frames.
T = 1s/30
= 33.3333333ms X 5
= 0.166666667s + 2s
= 2.16666667s
= 2*atan(328/(576/tan(70/2)))
= 0.527071635 rad
= 30.1989801866347136 degres
Using our above distance of 630.29km, we have a length of 340.12km for the boxes longer side.
328 pixels = 340.12km
1 pixel = 340.12km/328 = 1.03695122km
1.03695122km X 5 = 5.1847561km (5184.7561m)
1.03695122km X 158 = 163.838293km (163838.293m
1.03695122km X 46 = 47.6997561km (47699.7561m)
1.03695122km X 57 = 59.1062195km (59106.2195m)
1.03695122km X 34 = 35.2563415km (35256.3415m)
1.03695122km X 37 = 38.3671951km (38367.1951m)
We'll also ned the thickness of the side of the box, which we have a better shot of a bit earlier.
There are four flaps, so we'll calc the flaps as rectangular prisms, then times each by two, as there are four of them with two of the same size.
V = lhw
= 69475.7317 X 47699.7561 X 5184.7561
= 1.71821545e13 X 2
= 3.4364309e13m^3
V = lhw
= 163838.293 X 47699.7561 X 5184.7561
= 4.05191106e13 X 2
= 8.10382212e13m^3
V = 3.4364309e13 + 8.10382212e13
= 1.1540253e14m^3
Cardboard has a weight of around 155kg/m^3 on average, although corrugated cardboard can weigh as little as 30kg/m^3, while cardboard can weigh up to 689kg/m^3. We'll use those as our mid end, our low end and our high end respectively.
(Low end)
M = 1.1540253e14 X 30kg
= 3.4620759e15kg
(Mid end)
M = 1.1540253e14 X 155kg
= 1.78873922e16kg
(High end)
M = 1.1540253e14 X 689kg
= 7.95123432e16kg
With all of this in hand, let's find the distance the lid flaps moved. They opened as a curve, so we'll need the angle they moved to get our final results. Using this right-angled calculator (with 35256.3415m for a and 38367.1951 for b) we get a degrees of 42.58° for ∠α.
D = 90° - 42.58°
= 47.42°
Given the flap has already moved 90°, we'll add 90 on for our final degrees.
D = 90° + 47.42°
= 137.42°
Enter that through this arc length calculator (using a radius of 47699.7561m) and we end up with an arc length of 114404.6m. With all of the complex maths finally out of the way, we can finally get our brickatons and speed!
T = 114404.6m/2.16666667s
= 52802.123/340.29
= Mach 155.168013
(Low end)
KE = (0.5)mv^2
= (0.5) X 3.4620759e15 X 52802.123^2
= 4.82624493e24 joules
= 1.1535002222753347745 petatons
(Mid end)
KE = (0.5)mv^2
= (0.5) X 1.78873922e16 X 52802.123^2
= 2.49355989e25 joules
= 5.959751171128107039 petatons
(High end)
KE = (0.5)mv^2
= (0.5) X 7.95123432e16 X 52802.123^2
= 1.10842759e26 joules
= 26.49205521032504862 petatons
3. Palpatine empties the box
Palpatine then empties the Death Star box. Unfortunately, most of this is done off screen, but we can still have some key hints to how long it took as a low end and a high end, as we see individual packets of Lego coming out of the box in the above clip.
T = 33.3333333ms X 28
= 0.933333332s + 3s
= 3.93333333s
1.03695122km X 125 = 129.618902km
T = 129.618902km/3.93333333s
= 32953.9582/340.29
= Mach 96.840807
High end or low end, moving that still counts as a sped feat. As for our kinetic energy, previously, I calculated the Death Star to weigh 2.19956389e17kg.
KE = (0.5)mv^2
= (0.5) X 2.19956389e17 X 32953.9582^2
= 1.1943229e26 joules
= 28.545002390057362618 petatons
I think that should be safe, but let's also go for a low end of when we see the box is empty.
T = 33.3333333ms X 8
= 0.266666666s + 30s
= 30.2666667s + 180s
= 210.266667s
Later in the video, we see Palpatine has begun putting together his new Dath Star, and we see how far spread out the pieces are (tis happens later, but as the box is already emptied, it should serve as a good indicator of the distance).
1 pixel = 160km/131 = 1.22137405km
1.22137405km X 769 = 939.236644km
T = 939.236644km/210.266667s
= 4466.88321m/s
KE = (0.5)mv^2
= (0.5) X 2.19956389e17 X 4466.88321^2
= 2.19439993e24 joules
= 524.47417065009562975 teratons
Finally, for our absolute low end minimum, let's use the timeframe to that shot of the Death Star being built (which I feel is too much of a low end, but I feel it's good to be absolutely sure).
T = 33.3333333ms X 29
= 0.966666666s + 54s
= 54.9666667s + 480s
= 534.966667s
T = 939.236644km/534.966667s
= 1755.6919m/s
KE = (0.5)mv^2
= (0.5) X 2.19956389e17 X 1755.6919^2
= 3.39002731e23 joules
= 81.02359727533460898 teratons
I think the high end would be closest, as we see multiple packets being removed from the box at a time, but even if you assume he took out the satchets a few at a time, the low end and mid end still serve as estimates of the energy he was outputting over that timeframe (and are lower than or comparable him lifting the lids off in anycase.
4. Darth Maul makes the Darth Star
Palpatine goes to watch over a battle Naboo, while Darth Maul finishes the Death Star,with his own spin on it. Unfortunately, the energy to put the Death Star together is difficult to gauge, as it happened piece by piece with both Palpatine and Maul, plus the Death star is incomplete when Palpatine leaves it and Maul starts on it (although on average the above should be applicable). Fortunately, the speed is a no brainer.
1 pixel = 160km/150 = 1.06666667km
T = 33.3333333ms X 6
= 0.2s + 2s
= 2.2s
1.06666667km X 340 = 362.666668km
T = 362.666668km/2.2s
= 164848.485/340.29
= Mach 484.43529
Final Results
Ahsoka destroys a meteorite = 57.501 tons of TNT
Palpatine opens giant Death Star box (speed) = Mach 155.168
Palpatine opens giant Death Star box (energy - low end) = 1.154 petatons
Palpatine opens giant Death Star box (energy - mid end) = 5.96 petatons
Palpatine opens giant Death Star box (energy - high end) = 26.492 petatons
Palpatine extracts giant Lego satchets = Mach 96.841
Palpatine empties giant Death Star box (low end) = 81.0236 teratons
Palpatine empties giant Death Star box (mid end) = 524.474 teratons
Palpatine empties giant Death Star box (high end) = 28.545 petatons
Darth Maul constructs the Darth Star = Mach 484.435
I'm not 100% sure about the emptying the box one, but the opening the box one is more impressive for the most part anyway.
