Viewing blog entries in category: Steven Universe

0:05

Garnet shatters a huge obsidian block. And yes, these kinds of blocks are Obsidian.

In a previous calc, I put Garnet at being 2.14968787m tall.

241 pixels = 2.14968787m
1 pixel = 2.14968787m/241 = 0.00891986668m
0.00891986668m X 517 = 4.61157107m
0.00891986668m X 759 = 6.77017881m
0.00891986668m X 119 = 1.06146413m
0.00891986668m X 163 = 1.45393827m

Volume of the main bulk as a trapezoid, volume of the top bit as half a cube. This is the formula we'll be using for the former;

A = 1/2(a + b)h
= 1/2 X (1.06146413 + 4.61157107) X 6.77017881
= 19.2037313497m^2

V = 19.2037313497 X 4.61157107
= 88.5593719283m^3

V = 1.06146413 X 1.45393827 X 1.45393827
= 2.24386776039/2
= 1.1219338802m^3

V = 88.5593719283 + 1.1219338802
= 89.6813058085m^3

Obsidian's mass varies, but apparently it's typically at 2600kg/m^3 (according to that link at least).

M = 89.6813058085 X 2600
= 233171.395102kg

Spoiler:

Timeframe is 0.75 seconds.

150 pixels = 2.14968787m
1 pixel = 2.14968787m/150 = 0.0143312525m
0.0143312525m X 497 = 7.12263249m

T = 7.12263249m/0.75s
= 9.49684332m/s

KE = (0.5)mv^2
= (0.5) X 233171.395102 X 9.49684332^2
= 10514867.9147 joules

That's not all; we'll also go with a low end of violent fragmentation and a high end of pulverization.

(Low end)
E = 88.5593719283 X 69000000
= 6110596663.05 + 10514867.9147
= 6121111530.96 joules
= 1.462980767437859 tons of TNT

(High end)
E = 88.5593719283 X 200000000
= 17711874385.7 + 10514867.9147
= 17722389253.6 joules
= 4.235752689674952 tons of TNT

Final Results
Garnet destroys Obsidian block (low end) = 1.463 tons of TNT
Garnet destroys Obsidian block (high end) = 4.236 tons of TNT

Ultimately a bit feat, but still nice. Also, Garnet can break Obsidian?

2:50

Lapis rocks her gem tower noticably. Looking at the Mercalli Intensity Scale...

Spoiler:

The shaking looks around 4. Given this isn't seizemic though, we'll be using an impact calculator.
Going from my previous calculation, Lapis's ocean tower is 2040100m tall. Messing around with the impact calculator until I got magnitude 4, we get a result of 1.58 x 10^30 Joules (1.58e+30 joules), or 377.62906309751432855 exotons of TNT!

Final Results
Lapis shakes her tower = 377.629 exotons

Holy shit, moon level Lapis! Seriously though, I'm gonna need a second opinion on if this is done right or not.

There's a ton of overlooked feats in the battle between Alexandrite & Malachite. We'll, not for much longer!

Spoiler:

1. Build a wall and make the Crystal Gems pay for it
1:21

Malachite creates an ice wall to block Alexandrite's attack. Scaling to the wall from Malachite from Alexandrite from Steven, who's head in a previous calc I put at 0.671863183m.

22 pixels = 0.671863183m
1 pixel = 0.671863183m/22 = 0.0305392356m
0.0305392356m X 94 = 2.87068815m
0.0305392356m X 507 = 15.4833924m
0.0305392356m X 77 = 2.35152114m

458 pixels = 2.87068815m
1 pixel = 2.87068815m/458 = 0.00626787806m
0.00626787806m X 147 = 0.921378075m
0.00626787806m X 479 = 3.00231359m

218 pixels = 3.00231359m
1 pixel = 3.00231359m/218 = 0.0137720807m

0.0137720807m X 1070 = 14.7361263m
0.0137720807m X 615 = 8.46982963m

195 pixels = 8.46982963m
1 pixel = 8.46982963m/195 = 0.0434350237m
0.0434350237m X 1107 = 48.0825712m

Volume as a rectangle.

V = lhw
= 14.7361263 X 8.46982963 X 48.0825712
= 6001.3049162m^3

Water weighs 1000kg per m^3.

M = 6001.3049162 X 1000
= 6001304.9162kg (6001304916.2g)

The events of Super Watermelon Island take place right before the Summer of Steven event, so I think it's safe to assume this happened in either Spring or Summer. Mask Island resides within the Atlantic Ocean.

This here shows the average water temperatures off the East coast of America in Spring, se we'll find an average from that.

T = 77 + 76 + 77 + 77 + 81
= 388/5
= 77.6 F

We'll need that in C though, which is 25.33333. Specific heat of water is 4.186 joules per gram.

E = 6001304916.2 X 4.186 X 25.33333
= 636410296535 joules

Before we get our final result, let's add the heat fusion of water, which is 334 kilojoules per kg.

E = 6001304.9162 X 334
= 2004435842.01 kilojoules
= 2.0044358e+12 joules

Finally, to add them both together.

E = 636410296535 + 2.0044358e+12
= 2.6408461e+12 joules
= 631.1773661567878 tons of TNT

2. Not-so-master-hand
1:06

Alexandrite evaporates one of Malachites water hands with her flame breath.

51 pixels = 2.35152114m
1 pixel = 2.35152114m/51 = 0.0461082576m
0.0461082576m X 190 = 8.76056894m
0.0461082576m X 219 = 10.0977084m
8.76056894m + 10.0977084m = 18.8582773m
0.0461082576m X 139 = 6.40904781m
6.40904781m/2 = 3.2045239m

Volume as a cylinder.

V = πr^2h
= π X 3.2045239^2 X 18.8582773m
= 608.385591693m^3

M = 608.385591693 X 1000
= 608385.591693kg

Next to calculate the energy to vaporize the water, the values of which can be found here.

E = 608385.591693 X 2.26 X 10^6
= 1.3749514e+12 joules
= 328.6212715105162 tons of TNT

Take in mind it would ultimately be even higher, because I couldn't be bothered getting the volume of the fingers. Maybe later.

Final Results
Malachite's ice wall = 631.177 tons of TNT
Alexandrite evaporates water hand = >328.622 tons of TNT

And Lapis alone and each of the Crystal Gems have better than this in anycase.

2:30

The Duke of Strawberries jumps with a huge metal ball which comes down and whacks it. Scaling the bomy-knocker from Garnets head, which in a previous calc I put at being 0.560031954m high.

23 pixels = 0.560031954m
1 pixel = 0.560031954m/23 = 0.0243492154m
0.0243492154m X 159 = 3.87152525m
3.87152525m/2 = 1.93576262m
0.0243492154m X 24 = 0.58438117m
0.58438117m/2 = 0.292190585m
0.0243492154m X 31 = 0.754825677m

The ball as a sphere and the pointy bits as cylinders (of which I can count 9).

V = πr^2h
= π X 0.292190585^2 X 0.754825677
= 0.20245521761 X 9
= 1.82209695849m^3

V = 4/3πr3
= 4/3 X π X 1.93576262^3
= 30.3839971844m^3

V = 30.3839971844 + 1.82209695849
= 32.2060941429m^3

Medieval weapons (and weapons in general) are made of steel, which weighs 7850kg/m^3.

M = 32.2060941429 X 7850
= 252817.839022kg

Spoiler:

Timeframe is 0.16 seconds.

0.0243492154m X 212 = 5.16203366m

T = 5.16203366m/0.16s
= 32.2627104m/s

KE = (0.5)mv^2
= (0.5) X 252817.839022 X 32.2627104^2
= 131576829.932 joules

Let's also add GPE.

E = 1.93576262 X 9.807 X 252817.839022
= 4799499.92725 joules

E = 131576829.932 + 4799499.92725
= 136376329.859 joules
= 0.03259472510970363 tons of TNT

Final Results
Duke of Strawberries mace slam = 0.033 tons of TNT

Could've sworn this would've been higher.

0:05

Peridot moves some massive metal blocks. Scaling Peridot from Garnet, who I put at 2.14968787m in a previous calc.

837 pixels = 2.14968787m
1 pixel = 2.14968787m/837 = 0.00256832481m
0.00256832481m X 495 = 1.27132078m
0.00256832481m X 228 = 0.585578057m

34 pixels = 1.27132078m
1 pixel = 1.27132078m/34 = 0.0373917876m
0.0373917876m X 192 = 7.17922322m
0.0373917876m X 507 = 18.9576363m
18.9576363m/2 = 9.47881815m
0.0373917876m X 777 = 29.053419m

That's all the hard work done! Now onto volume, which is obviously a rectangle.
V = lhw
= 7.17922322 X 7.17922322 X 18.9576363
= 977.100196924m^3

For mass, we'll go with a low end of aluminium (2600kg/m^3), a mid end of titanium (4500kg/m^3) and a high end of steel (7850kg/m^3, values here).
(Low end)
M = 977.100196924 X 2600
= 2540460.512kg

(Mid end)
M = 977.100196924 X 4500
= 4396950.88616kg

(High end)
M = 977.100196924 X 7850
= 7670236.54585kg

Spoiler:

4.02 seconds.

T = 29.053419m/4.02s
= 7.22721866m/s

Lastly, we get our energy! As well as the kinetic energy, we can also go for GPE. Earths Gravity Pull is 9.807m/s².

(Low end)
KE = (0.5)mv^2
= (0.5) X 2540460.512 X 7.22721866^2
= 66347542.6307 joules

E = 9.47881815 X 9.807 X 2540460.512
= 66347542.6307 + 236158083.405
= 302505626.036 joules
= 0.07230057983652008 tons of TNT

(Mid end)
KE = (0.5)mv^2
= (0.5) X 4396950.88616 X 7.22721866^2
= 114832285.322 joules

E = 9.47881815 X 9.807 X 4396950.88616
= 114832285.322 + 408735144.356
= 523567429.678 joules
= 0.1251356189478967 tons of TNT

(High end)
KE = (0.5)mv^2
= (0.5) X 7670236.54585 X 7.22721866^2
= 200318542.173 joules

E = 9.47881815 X 9.807 X 7670236.54585
= 713015751.821 + 200318542.173
= 913334293.994 joules
= 0.2182921352758126 tons of TNT

Final Results
Peridot moves blocks of steel (low end) = 0.073 tons of TNT
Peridot moves blocks of steel (mid end) = 0.125 tons of TNT
Peridot moves blocks of steel (high end) = 0.218 tons of TNT

Higher than her getting smashed around in the canyon, but alas, still just small building level.

0:38

The Sea Spires beam reaches the Moon in only a few seconds. This will be an easy one. Distance from the Earth to the Moon is 384,400km.

Spoiler:

1.05 seconds.

T = 384,400km/1.05s
= 366095238/299792458
= 1.2211622682 C

Final Results
Sea Spire beam = 1.221 C

So gem tech is light speed to FTL, which should mean the lasers throughout the show are legit lasers.

1:39

Opal causes a huge explosion of water when she crashes into the water. We'll be scaling from Steven, and him from Rose. Rose-Quarts is said to be 8 feet tall (2.4384m).
https://steven-universe.fandom.com/wiki/Story_for_Steven/Transcript

421 pixels = 2.4384m
1 pixel = 2.4384m/421 = 0.00579192399m
0.00579192399m X 276 = 1.59857102m
0.00579192399m X 116 = 0.671863183m

1185 pixels = 1.59857102m
1 pixel = 1.59857102m/1185 = 0.00134900508m
0.00134900508m X 874 = 1.17903044m

Spoiler:

Timeframe is 0.05 seconds.

50 pixels = 1.17903044m
1 pixel = 1.17903044m/50 = 0.0235806088m
0.0235806088m X 113 = 2.66460879m
2.66460879m/2 = 1.33230439m
0.0235806088m X 307 = 7.2392469m

T = 7.2392469m/0.05s
= 144.784938m/s

Volume as a cylinder.

V = πr^2h
= π X 1.33230439^2 X 7.2392469
= 40.3692033745m^3

Weight of water is 1000kg/m^3.

M = 40.3692033745 X 1000
= 40369.2033745kg

Finally, for our energy.

KE = (0.5)mv^2
= (0.5) X 40369.2033745 X 144.784938^2
= 423123311.212 joules
= 0.1011288984732314 tons of TNT

Final Results
Opal creates water explosion = 0.101 tons of TNT

7:41, Steven starts crying, and realises his tears aren't his own, and Blue is revealed to be there.
13:24, Lapis arrives above Blue.

Lapis also says she's here to help fight the Diamonds, as if she's going to be punished like a Crystal Gem, she may as well be one.
https://steven-universe.fandom.com/wiki/Reunited/Transcript

Earlier in the day we see Lapis on the Moon, and the distance from the Earth to the Moon is 384,400km.

This shouldn't be too hard. First, let's get a timeframe.

The timeframe is 368 seconds.

T = 384,400km/368s
= 1044565.22/340.29
= Mach 3069.63243116

Next for the KE, for which we'll have to figure out her mass. In a previous blog, I calced Garnet at 2.14968787m tall.

350 pixels = 2.14968787m
1 pixel = 2.14968787m/350 = 0.00614196534m
0.00614196534m X 275 = 1.68904047m
0.00614196534m X 278 = 1.70746636m

A woman who's 1.70m tall would weigh between 63kg and 70kg. Let's just go with the low end for now.

KE = (0.5)mv^2
= (0.5) X 63 X 1044565.22^2
= 3.437017e+13 joules
= 8.2146677820267691 kilotons

Impressive stuff. She also drags the barn and the ground underneath it at these speeds.

584 pixels = 1.70746636m
1 pixel = 1.70746636m/584 = 0.00292374377m
0.00292374377m X 875 = 2.5582758m

91 pixels = 2.5582758m
1 pixel = 2.5582758m/91 = 0.0281129209m
0.0281129209m X 774 = 21.7594008m
21.7594008m/2 = 10.8797004m
0.0281129209m X 228 = 6.40974597m

Volume as a spherical cap, which using this calculator, we find to have a volume of 1128.49040m^3. Loose soil weighs around 1200kg/m^3.

M = 1128.49040m X 1200
= 1354188.48kg

Now, kinetic energy!

KE = (0.5)mv^2
= (0.5) X 1354188.48 X 1044565.22^2
= 7.387887e+17 joules
= 176.57473709369025983 megatons

Just to prove how impressive this is, let's go for an absolute low end of 12 hours (or 43200 seconds).

T = 384,400km/43200s
= 8898.14815/340.29
= Mach 26.14872065

KE = (0.5)mv^2
= (0.5) X 63 X 8898.14815^2
= 2494076775.73 joules
= 0.5960986557672084 tons of TNT

KE = (0.5)mv^2
= (0.5) X 1354188.48 X 8898.14815^2
= 5.3610318e+13 joules
= 12.813173518164437 kilotons

Final Results
Lapis flies to Earth from the Moon (low end) = Mach 26.149
Lapis's KE (low end) = 0.5960986557672084 tons of TNT
Lapis carries barn (low end) = 12.813 kilotons
Lapis flies to Earth from the Moon (high end) = Mach 3069.632
Lapis's KE (high end) = 8.215 kilotons
Lapis carries barn (high end) = 176.575 megatons

Lapis is magnitudes stronger and faster even by the high ends, but still impressive.

2:30

Sardonyx swings her hammer casually, which is an incredible feat in itself. To get the volume of the hammer, we'll be scaling from Steven using the average height of a 12 year old boy (that being 58 inches, or 1.4732m).

62 pixels = 1.4732m
1 pixel = 1.4732m/62 = 0.0237612903m
0.0237612903m X 510 = 12.1182581m
0.0237612903m X 264 = 6.27298064m
0.0237612903m X 298 = 7.08086451m
0.0237612903m X 74 = 1.75833548m
1.75833548m/2 = 0.87916774m
0.0237612903m X 256 = 6.08289032m
0.0237612903m X 320 = 7.6036129m

340 pixels = 7.6036129m
1 pixel = 7.6036129m/340 = 0.0223635674m
0.0223635674m X 268 = 5.99343606m

Now we have all the components, let's get the volume of the hammer. Both fists as rectangles and the middle part as a cylinder.

V = lhw
= 7.6036129 X 6.27298064 X 5.99343606
= 285.870816771 X 2
= 571.741633542m^3

V = πr^2h
= π X 0.87916774^2 X 6.08289032
= 14.770777157m^3

V = 571.741633542 + 14.770777157
= 586.512410699m^3

For our mass, we'll go with a low end of aluminium, a mid end of titanium and a high end of steel, which weigh 2600kg/m^3, 4500kg/m^3 & 7850kg/m^3 respectively.

(low end)
M = 586.512410699 X 2600
= 1524932.26782kg

(mid end)
M = 586.512410699 X 4500
= 2639305.84815kg

(high end)
M = 586.512410699 X 7850
= 4604122.42399kg

She swings it in a full arc, so we'll get the distance as the circumference of a circle (from where she's holding it).

C = 2πr
= 2 X π X 7.08086451
= 44.4903838514m

Spoiler:

0.19 seconds.

Let's get our energy, shall we?

(low end)
KE = (0.5)mv^2
= (0.5) X 1524932.26782 X 177.961535^2
= 24147537254.4 joules
= 5.771399917399618 tons of TNT

(mid end)
KE = (0.5)mv^2
= (0.5) X 2639305.84815 X 177.961535^2
= 41793814478.8 joules
= 9.9889613955066920425 tons of TNT

(high end)
KE = (0.5)mv^2
= (0.5) X 4604122.42399 X 177.961535^2
= 72906987479.6 joules
= 17.42518821214149 tons of TNT

Final Results
Sardonyx swings her hammer (low end) = 5.771 tons of TNT
Sardonyx swings her hammer (mid end) = 9.989 tons of TNT
Sardonyx swings her hammer (high end) = 17.425 tons of TNT

Change my mind. There's a good few impressive feats in what just may be the Steven Universe finalle, so let's get to calcing!

Spoiler:

1. (A similar feat happens in MGS so just pretend there's an MGS reference here)

0:18

Spoiler:

Sunstone pushes back the Diamond Mecha Ship when it tries to stomp on the Crystal Gems. Scaling from Pearl. The average height of a woman is 161.8cm (1.618m) tall.

52 pixels = 1.618m
1 pixel = 1.618m/52 = 0.0311153846m
0.0311153846m X 1467 = 45.6462692m


214 pixels = 45.6462692m
1 pixel = 45.6462692m/214 = 0.213300323m
0.213300323m X 1385 = 295.420947m
0.213300323m X 1287 = 274.517516m
0.213300323m X 886 = 188.984086m

Next for the volume & mass. This is where things get hard, but thankfully, we have enough to work with. When Obsidian cuts through Blue and Yellow's handships, we see the thickness of the outer metal layer. Scaling from Lapis, once again using the average height of a woman.

19 pixels = 1.618m
1 pixel = 1.618m/19 = 0.0851578947m
0.0851578947m X 430 = 36.6178947m
0.0851578947m X 476 = 40.5351579m
0.0851578947m X 52 = 4.42821052m
0.0851578947m X 259 = 22.0558947m

52 pixels = 4.42821052m
1 pixel = 4.42821052m/52 = 0.0851578946m
0.0851578946m X 22 = 1.87347368m

Now to get the mass of the giant mecha (sans hair) using square law. Going with the average height of a woman again, and a woman 161cm tall would weigh 53.29kg.

M2 = (274.517516/H1)^3*M1
= (274.517516/1.618)^3*53.29
= 260267745.329kg


Next we have to substitute that mass for another. We'll start with the mechanical interior, then go to the ships armour. The average weight of the human body is 1.01g/cm^3 (or 1010kg/m^3), The light ship mass of container vessel 2700TEU is 102.56kg/m^3 (or 0.10256g/cm^3).

M = 260267745.329/1.01 X 0.10256
= 26428772.2386kg

That weighs even less, though it is a hollow machine. Now for the mass of the "skin"/armour. We'll be using the above volumes for a human (prior to switching out for a machine). 274.517516m is 27451.7516cm. Enter those values through this human surface area calculator and we get a variety of results depending on the method. Let's get an average.

A = 17,390.31 + 23,211.16 + 27,909.79 + 21,736.06 + 3,420.53 + 17,771.11 + 17,528.29 + 110,243.16/8
= 142747.645m^2

And next the depth of the armour for the volume.

V = 142747.645 X 1.87347368
= 267433.955789m^3

For now we'll go with a low end of aluminium, which weighs 2600kg/m^3.

M = 267433.955789 X 2600
= 695328285.051kg

Now to add them both together.

M = 267433.955789 + 695328285.051
= 695595719.007kg

Keep in mind it would ultimately weigh even more thanks to its "hair." Half of a human(oid)s mass rests on each foot standardly.

M = 695595719.007kg/2
= 347797860kg

Now for the KE.

Spoiler:

Timeframe is 0.16 seconds.

959 pixels = 45.6462692m
1 pixel = 45.6462692m/959 = 0.0475977781m
0.0475977781m X 587 = 27.9398957m

T = 27.9398957m/0.16s
= 174.624348m/s

At last we can get our energy.

KE = (0.5)mv^2
= (0.5) X 347797860 X 174.624348^2
= 5.3028154e12 joules
= 1.267403298279159 kilotons

2. Uppercutting an uppercrust

2:15

Yellow's handship punches the White and Pink parts of the Diamond mecha hard enough to send it flying. First off we'll need to take the mass of the mechs arms away. One arm takes up 5.3% of someones total body mass, so both arms would be 10.6&.

M = 347797860 X 10.6/100
= 36866573.16kg

Now for our timeframe.

Spoiler:

Timeframe is 0.49 seconds.
540 pixels = 188.984086m

T = 188.984086m/0.49s
= 385.681808/340.29
= Mach 1.13339154251

Finally for our energy.
KE = (0.5)mv^2
= (0.5) X 36866573.16 X 385.681808^2
= 2.7419598e+12 joules
= 655.344120458891 tons of TNT

Final Results
Diamond Mecha height = 295.421m
Obsidian's height = 40.535m
Diamond Mecha stomps the Crystal Gems = 1.267 kilotons
Yellow's handship punches the Diamond mecha (speed) = Mach 1.133
Yellow's handship punches the Diamond mecha (energy) = 655.344 tons of TNT

Not nearly the best feats for any of the involved parties, but still impressive.

0:00

Spoiler:

http://steven-universe.wikia.com/wiki/Reunited/Transcript

Yellow Diamonds handship shakes the planet down to its very core by hitting it where the Cluster resides. The Cluster resides at the very centre of the planets core.
http://steven-universe.wikia.com/wiki/When_It_Rains/Transcript

http://steven-universe.wikia.com/wiki/Back_to_the_Barn/Transcript

http://steven-universe.wikia.com/wiki/Reunited/Transcript

I'll be looking at my old Cluster calc and God Movements Whitebeard calc for help. The area in miles is needed, and the depth in mm. Given the ground noticably shook and created waves, I'd say it would rank as 4 to 5 on the Mercalli Intensity Scale.

Spoiler:

The radius of the Earth is 6371km, or 3959 miles. Given the nomogram creating website doesn't work for me, I'll go around this another way. First off, as God Movement says in his blog...

So we just need to times our result by 10 by each magnitude. Let's try with our own nomogram;

With a magnitude of 4.0, an amplitude of 200 and a distance of 680km, we can now get to increasing the magnitude. 680km fits into 6371km 9.369 times.

Amp = 200 X 10 X 9.369
= 18738

Then we need to divide our distance by 5.7.

3959/5.7 = 694.561403509

log(base10)18738+3log(base10)[8*694.518596491]-2.92 = Magnitude 12.58704

Enter that through the earthquake calculator...

Magnitude 12.58704 = 4.7924765884568E+23 joules = 114.54293949466539004 teratons

Final Results
Yellow Diamonds handship shakes the planet = 114.543 teratons

0:00

http://steven-universe.wikia.com/wiki/Escapism_(episode)/Transcript

Stevens astral projection flies from Homeworld to Earth in moments, and finds the Earth and lights it up. And given that Homeworld is explicitly in another galaxy...
http://steven-universe.wikia.com/wiki/Log_Date_7_15_2/Transcript

...this is going to be impressive.

Spoiler:

The nearest major galaxy is the Andromeda galaxy (2,000,000 light years away, or 1.8921461e+22m), which is also one of the few galaxies visible to the naked eye.

Spoiler:

15.68 seconds.

T = 1.8921461e+22m/15.68s
= 1.2067258e+21/299792458
= 4025204000000 C

That's impressive, and not the first FTL feat in the series to boot. But wait; there's more!


2:46

http://steven-universe.wikia.com/wiki/Escapism_(episode)/Transcript

Steven causes the Earths position to light up, once again on the astral plane. The light is certainly much brighter than the stars around it, though it's hard to judge how much, although Steven isn't blinded by looking at it, so I'll go with the apparent magnitude of the Moon (which has an apparent magnitude of -12.6).

--12.6 = -26.73 - 2.5log((L/3.846*10^26)(146000000000/(1.8921461e+22))^2)

We'll split this into parts to work with...

(146000000000/(1.8921461e+22))^2) = 5.9538293e-23
-12.6 - -26.73 = 5.9538293e-23/((L/3.846*10^26)
14.13 = -2.5Log(5.9538293e-23/((L/3.846*10^26))
14.13/-2.5 = (5.9538293e-23/((L/3.846*10^26))
10^(-5.652) = (5.9538293e-23/((L/3.846*10^26))
0.00000222843 = (5.9538293e-23/((L/3.846*10^26))
0.00000222843 X (3.864*10e26) = 3.8104592e-19
8.6106535e+21/5.9538293e-23 = 1.4462379e+44/10^44 = 1.4462379 FOE

Final Results
Steven astral projects to Earth = 4025204000000 C
Steven locates the Earth in the astral plane = 1.446 FOE

The speed is consistent with other FTL feats in the series like Lapis flying to the edge of the galaxy and back and the Diamonds corrupting light. As for the energy, we'll need more feats like that (and out of the astral plane too), but word of god has said that there were galaxy-shaking events in the past...
http://thegeekiary.com/steven-universe-press-panel-at-san-diego-comic-con-2016/36304

...so I expect more feats of this magnitude in the future.

0:50

The Diamonds burst the Clusters bubble and an arm of it emerges to battle Yellow Diamonds ship. The Cluster is located in the core of the Earth...
http://steven-universe.wikia.com/wiki/Back_to_the_Barn/Transcript

http://steven-universe.wikia.com/wiki/Reunited/Transcript

The radius of the Earth is 6378.1km (6378100m). Let's start off by getting the timeframe.

Spoiler:

9.98 seconds.

T = 6378.1km/9.98s
= 639088.176/340.29
= Mach 1878.06922

Let's also get the energy for the magma it would have to push aside to rise. The mantle is around 2900km thick. Previously I calced the gem temple to be 155.65514m tall.

175 pixels = 155.65514m
1 pixel = 155.65514m/175 = 0.889457943m
0.889457943m X 230 = 204.575327m
204.575327m/2 = 102.287663m

Volume of the Clusters arm as a cylinder.

V = πr^2h
= π X 102.287663^2 X 6378100
= 2.09646545e11m^3

Now for the mass of the magma moved. Based on various densities of magma, rhyolite magma weighs between 2180 and 2250kg per m^3, which averages out at 2215kg per m^3.

M = 2.09646545e11 X 2215
= 4.64367097e14kg

KE = (0.5) X 4.64367097e14 X 639088.176^2
= 9.4831585e25 joules

We'll save that for now. There's also the pat of the crust broken. Continental crust is between 35km to 40km thick, which gives an average of 37.5km (37500m).

V = πr^2h
= π X 102.287663^2 X 37500
= 1.23261558e9m^3

Fragmentation of rock is 8000000 joules/m^3.

E = 1.23261558e9 X 8000000
= 9.86092464e15 joules

On top of that, we'll find the GPE of said arm (assuming it weighs as much as human flesh, which weighs 1010kg/m^3 and it's centre of gravity is in the middle (3189050m up).

M = 2.09646545e11 X 1010
= 2.1174301e14kg

E = 3189050 X 9.807 X 2.1174301e14
= 6.62226546e21 joules

Now for our total energy.

E = 9.4831585e25 + 9.86092464e15 + 6.62226546e21
= 9.48382073e25 joules
= 22.6668755497 petatons

One more thing though; let's get the energy for the arm manifesting, as gems manifest through mass-energy conversion.
http://steven-universe.wikia.com/wiki/What_are_Gems?/Transcript

http://steven-universe.wikia.com/wiki/We_Need_to_Talk/Transcript
Garnet: First you need a gem at the core of your being. Then you need a body

And yes, this scales to how strong they are.
http://steven-universe.wikia.com/wiki/Log_Date_7_15_2/Transcript

E = mc^2
= 2.1174301e14 X 299792458^2
= 1.90305127e31 joules
= 4.54840169694 zettaton

Final Results
The Clusters arm emerges (speed) = Mach 1878.06922
The Clusters arm emerges (energy) = 22.667 petatons
The Clusters arm manifests = 4.548 zettatons

Unfortunately, Totally Not A Cat deleted his blogs, including his calc of this feat. So we'll have to redo it.

1:53

The Gem Pyramid explodes, and Steven tanks it at point blank, without even letting go of the source of the explosion. Lot's of scaling here, so let's begin...

Spoiler:

First let's get the dimensions of the pyramid. Going with the average height of a woman for Pearl, that being 161.8cm (1.618m).

59 pixels = 1.618m
1 pixel = 1.618m/59 = 0.0274237288m
0.0274237288m X 12 = 0.329084746m

12 pixels = 0.329084746m
1 pixel = 0.329084746m/12 = 0.0274237288m
0.0274237288m X 116 = 3.18115254m

52 pixels = 3.18115254m
1 pixel = 3.18115254m/52 = 0.0611760104m
0.0611760104m X 174 = 10.6446258m
0.0611760104m X 296 = 18.1080991m

292 pixels = 3.18115254m
1 pixel = 3.18115254m/292 = 0.010894358m
0.010894358m X 23 = 0.250570234m

= 2*atan(18/(359/tan(70/2)))
= 0.0475045183 rad
= 2.721808406398736224 degrees

Enter that through the angscaler and we get a distance of 66.953m.

= 2*atan(292/(359/tan(70/2)))
= 0.735691513 rad
= 42.152018718598498 degrees

That's a distance of 4.1272m.

H = 66.953m - 4.1272m
= 62.8258m

While we're at it, let's get the volume of that cylindrical part.

R = 3.18115254m/2
= 1.59057627m

V = πr^2h
= π X 1.59057627^2 X 62.8258
= 499.340622m^3

R = 1.59057627m + 0.250570234m
= 1.8411465m

V = πr^2h
= π X 1.8411465^2 X 62.8258
= 669.059272m^3

V = 669.059272 - 499.340622
= 169.71865m^3

Back to the height...

70 pixels = 0.329084746m
1 pixel = 0.329084746m/70 = 0.00470121066m
0.00470121066m X 122 = 0.573547701m

= 2*atan(16/(314/tan(70/2)))
= 0.0482774716 rad
= 2.766095368249555708 degrees

We have us a distance of 11.878m. Now let's get our total height.

H = 10.6446258m + 66.953m + 11.878m
= 89.4756258m

13 pixels = 0.329084746m
1 pixel = 0.329084746m/13 = 0.0253142112m
0.0253142112m X 266 = 6.73358018m

Now for the width.

30 pixels = 6.73358018m
1 pixel = 6.73358018m/30 = 0.224452673m
0.224452673m X 38 = 8.52920157m

= 2*atan(30/(360/tan(70/2)))
= 0.07892812 rad
= 4.5222481609133212 degrees

The gate is 85.269m away. Keep in mind this is the middle of the pyramid, so ultimately it would be even wider. Next up for the thickness of the walls.

35 pixels = 0.329084746m
1 pixel = 0.329084746m/35 = 0.00940242131m
0.00940242131m X 38 = 0.35729201m
0.00940242131m X 660 = 6.20559806m

As a bonus, we'll get the energy for Garnet shattering the floor.

V = πr^2h
= π X 6.20559806^2 X 0.35729201
= 43.2255435m^3

Fragmentation of rock is 8000000 joules/m^3.

E = 43.2255435 X 8000000
= 345804348 joules
= 0.0826492227533 tons of TNT

Not her best feat obviously, but it's nice. Now onto the big stuff again.

There are at least 7 training rooms like the one scaled above, so we'll get the volume of one and times it by 7.

V = lhw
= 8.52920157 X 8.52920157 X 85.269
= 6203.08777m^3

W = 8.52920157 + 0.35729201
= 8.88649358m

L = 85.269 + 0.35729201
= 85.626292m

V = lhw
= 8.88649358 X 8.88649358 X 85.626292
= 6761.88843m^3

V = 6761.88843 - 6203.08777
= 558.80066 X 7
= 3911.60462m^3

Now for the pyramid itself.

278 pixels = 89.4756258m
1 pixel = 89.4756258m/278 = 0.321854769m
0.321854769m X 356 = 114.580298m

Volume as a square pyramid.

A = lw
= 114.580298 X 114.580298
= 13128.6447m^2

V = a^2(h/3)
= 114.580298^2 X (89.4756258/3)
= 391564.567m^3

L = 114.580298m + 0.35729201m
= 114.93759m

H = 89.4756258m + 0.35729201m
= 89.8329178m

V = a^2(h/3)
= 114.93759^2 X (89.8329178/3)
= 395583.733m^3

V = 395583.733 - 391564.567
= 4019.166m^3

Almost done; we just need our total volume.

V = 169.71865 + 3911.60462 + 4019.166
= 8100.48927m^3

Violent fragmentation of rock is 69000000 joules/m^3.

E = 8100.48927 X 69000000
= 558933759630 joules
= 133.588374673 tons of TNT

Final Results
Garnet shatters floor = 0.083 tons of TNT
Gem Pyramid explodes = >133.588 tons of TNT

That's about a tenth of what TNAC got for this, but it's still impressive, and given that the pyramid was filled with a bunch more stuff, it would be ultimately even higher.

A gems tale by Lapis Lazuli.
http://steven-universe.wikia.com/wiki/Can't_Go_Back/Transcript

Lapis flies from the Earth to the edge of the Milky Way and back again in a relatively short timeframe. Not sure what the exact timeframe is yet, but it sure didn't take dozens of millennia. Lapis flew off in Raising the Barn, which aired on the 22nd of Decembe, 2017, and was back at the Moon in Can't Go Back which aired on the 7th of May, 2018. We'll go for how long it takes her to fly to the edge of the galaxy.

T = 31 - 22
= 9 + 31 + 28 + 31 + 30 + 7
= 136/2
= 68 X 24 X 60 X 69
= 6756480 seconds

The shortest distance to the edge of the Milky Way is 20,000 lightyears (or 1.89215e+20m).

T = 1.89215e+20m/6756480s
= 2.80049671e13/299792458
= 93414.5151 C

Final Results
Lapis flies to the edge of the Milky Way = 93414.515 C

And to top it up, she did this while dragging a barn and the rock beneath it across space at these speeds.