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Viewing blog entries in category: D&D calcs

This is one fast doggo
and I mean really fast, like "I outrun Gods" fast.
But just how fast does can he go?
According to his entry, he has the ability to use Teleport without error, except he isn't actually teleporting but just running fast
'Near limitless' isn't very specific, but if Kezef's ability has the same range as a 'teleport without error', which is to say from any point to any other point in the same plane of existence (= universe) then he could just instantly cross a universe using his speed.
Observable universe is 8.8e23 km in diameter
Crossing that in a second is 8.8e26m/s= 2.935 quintillion c
*boi* 
Dragon fire is very intense, how intense?
well, there's these
The most common component of treasure in D&D is, well gold.
But gold is a metal, it doesn't turn to ash. If so, then what would be considered 'Obliterated' or 'Destroyed' in this case? I think vaporizing makes sense, considering even magical items gets reduced to nothing but a bit of ash.
Gold boils at about 2700 degrees Celsius.
Dragon Fire is shot in the form of a cone with varying size depending of the size of the Dragon.
According to the 5e manual, we have 15 ft. for wyrmlings, 30ft. for youngs, 60ft. for adults and 90ft. for ancients. (A cone of 15 ft. = a cone with such length at its sides)
This diagram in the sourcebooks suggests a 90 degree angle, meaning the base of the cone is sqrt(2)*(cone length).
I'm looking for cone volume, and then I'll be looking for how much energy is needed to heat up that much air to 2700 degrees.

Cone Volumes:
Using Cone calculator and given s and r, we get
Wyrmling: s= 4.57m, r=3.23 m, V=35.32 m^3
Young: s= 9.14m, r= 6.46m, V= 282.57 m^3
Adult: s= 18.28m, r= 12.92m, V= 2260.55 m^3
Ancient: s= 27.43m, r= 19.39m, V= 7638.85 m^3
Air density would be about 1.196 kg/m^3 in a European setting at room temp (20 degrees)
Specific heat of air is 1006 j/kg
I'll use the Q=m*c*t equation
Therefore:
Wyrmling: V=35.32 m^3, m=35.32*1.196=42.24 kg, Q=42.24*1006*2680= 113882419.2 J
Young: V= 282.57 m^3, m=282.57*1.196=337.95 kg, Q=337.95*1006*2680= 911150265.42 J
Adult: V= 2260.55 m^3, m=2260.55*1.196=2703.62 kg, Q=2703.62*1006*2680= 7289169878.224 J
Ancient: V= 7638.85 m^3, m=7638.85*1.196=9136.065 kg, Q=9136.065*1006*2680= 24631561046.768 J
Final Tally:
Wyrmling red dragon's fire breath= 0.027 tons of TNT
Young red dragon's fire breath= 0.217 tons of TNT
Adult red dragon's fire breath= 1.74 tons of TNT
Ancient red dragon's fire breath= 5.88 tons of TNT
This is probably an underestimation of the more powerful dragons, but nice bit feats for young dragons. 
Atropos, the world born dead is a sentient, undead moonlet capable of draining planets of life for whatever reason an undying celestial objects has to consume planets I guess.
It is capable of consuming all positive (meaning living) energy within a planet, and has in fact done so to an earthsized planet in the Forgotten Realms setting
How much biomass is on Earth? according to wikipedia between 1 to 4 Trillion tons of carbon.
Converting an average of 2.5 trillion tons into energy via massenergy equation would yield:
E=m*c^2= (2.5e15 kg)*(299792458 m/s)^2= 2.246e32 J, or 53.68 Zettatons of TNT, practically planet level since this is only an average.

While we're at it, I'd like to figure out the GBE of Atropos
It's made out of rock of some sort, so I'll use the density of granite to determine mass.
A sphere with a radius of 560,000m would have a volume of 7.35619E+17 m^3
applying a density of 2700 kg/m^3 we get a mass of 1986171300000000000000 kg.
GBE= 3*G*M^2/5*R = [3*6.67408e(11)*(1986171300000000000000)^2]/(5*560000)= 2.82e26 J
or, 67.4 Petatons , continent level+
Final Tally:
Atropos consumes a planet ≈ 53.68 Zettatons of TNT
Atropos' GBE = 67.4 Petatons of TNT 
Time for some cosmic tier shit

1. The Shadow Epoch
Spoiler:
2. The Wars of Light and Darkness
Spoiler:
Final Tally:
Shadow Epoch Dendar's movement speed > 58c
Shar/Selune's casual movement speed > 14,216,395,144.27c 
~didn't have this on my blog for some reason so reuploading~

Man, this calc was practically begging to be made, just read this
And the book gives us almost all the details we need.
So lets start with distance, its stated he needs to position it within a 1/20 of the Lunar distance, In forgotten realms the parameters of the moon is stated in the 3rd edition Campaign Setting:
>2000 miles in diameter is >3200 km across which is nearly identical with irl moon (3,474 km diameter) so I'll just assume they're the same.
The lunar distance is stated as 20,000 miles = 32,000 km
Moving that 19/20 of the way is 30400000m.
Now for timeframe, he says it will be in position before Dawn and its already night time for quite a while when the spell is cast
so I think a fair assumption would be that he starts at Midnight.
The spell takes place in the Sea of Fallen Stars which is comparable to the Mediterranean, where Dawn can come anywhere between 6:00~7:00 am
So I'll use 6 hours as the timeframe.
Therefore;
v=d/t=30400000/21600= 1407.4 m/s or mach 4.135
Now as for mass, we a given a diameter of 50 leagues, but as I've found out, a league can mean a shit ton of things, so I'll use the also stated diameter of 1/20 of the moon, which is 173.7 km.
This gives us a volume of 2.74409E+15 m^3 for the Tear of Selune
Density of the Moon= 3.344 gr/cc or 3344 kg/m^3
Mass of the Tear= 2.74409E+15*3344= 9176236960000000000 kg
Ke= 0.5*m*v^2= 0.5*(9176236960000000000)*(1407.4)^2 = 9.0880292810735648e24 J or 2.172 Petatons of TNT
Continent level
Keep in mind that this is what an epic mage can do with sufficient prep, not even a God or somethin 
A bunch of quick ones I did:
1. Call lightning
Spoiler:
2. Disintegrate
Spoiler:
3. Proctiv’s Move Mountain (Epic Spell in Forgotten Realms)
Spoiler:
4. The Avatar of Gilgeam throws a dragon turtle
Spoiler:
Final Tally:
Dodging Call lightning = Mach 15.2
Disintegrate dc = 0.067 tons of TNT
The avatar of Gilgeam throws a dragon turtle= 0.042~0.17 tons of TNT
Netherese Archwizards create flying cities= 27.126 Megatons of TNT 
So, the Elder Evil Ragnorra is D&D's version of Brood mother, sorta.
She travels around the multiverse, occasionally crossing into the Material plane, in which case she'd very much like to crash land on a world and take it over.
The book actually provides some things that make this crashland calcable
The important thing to take from this passage is that her landing is like a freakin asteroid, leaving a 30 mile long crater.
We also have this:
What's I'm going to do is fiddle with the Asteroid Impact Crater Calculator to get the speed at which she was traveling and the energy of impact (since we know she survives this, albeit barely).
So we have a diameter of a mile=1600m, and we know Ragnorra is made out of flesh so I'll use average density of a human body for this, which is 1.062 gr/cm^3.
I'll plug in an arbitrary angle of 45 degrees for impact and change the speeds untill I can get a crater with a diameter of 30 miles = 48 km.
And here are the results
So the Final Tally:
Ragnorra's crusing speed = 376,000 m/s, or about Mach 1105
Ragnorra's impact yield = 38.33 Teratons of TNT
MHS+ and country level, surprisingly sits well with the powerscaling actually 
Some more of the shit epic mages can do in D&D
To put this simply, the Simbul, an epic level wizard could fight off a company of high level devils, open a portal to the prime material all the while using a spell to fling a mountain halfway across Hell to use as a tactical nuke that shakes the entire layer.
To calc this feat I'll need three things: Size of that rock, distance and timeframe
Distance is easy, its stated she boosted the thing from halfway across Avernus, the first Hell
From this we can infer that the radius of Avernus is 6607 miles, or 10633.17 km
So planetary proportions.
Next, for timeframe, the Devils note sensing a strange magic right before Simbul showed up.
They then chase her for a while until the mountain drops, noting that this must be what they sensed . So a matter of minutes, not hours from the rock to travel there.
I'll be using 10 minutes as a conservative estimate.
Now for size.
Narration states that a mere fragment of the rock is the size of a castle.
How large is a castle? well, D&D is based on highmedieval period Europe, England specifically.
So lets see, how large were castles back then by using Warwick castle in England as a model
From pixel scaling I did (couldn't find an exact figure on google), the area of the castle seems to be roughly 1 Km^2.
Also the towers of the castle range in 4044 m for height.
So what I'll do is model the mountain as a pyramid that is x10 times the castle.
So we have a pyramid that is 10 km^2 in base and 400m tall.
Said pyramid would have a volume of 1333340000 m^3
Density of granite rock is 2700 kg/m^3
So, m=2700*1333340000= 3600018000000 kg
Now for speed
v=d/s= 10633.17 km/ 10 mins = 17721.95 m/s
Using a Ballistic Trajectory calculator, I can find the initial speed that fling this thing that far
Giving us a speed of 10,213 m/s, or Mach 30.01
Ke= 1/2*m*v^2= 0.5*3600018000000*(10213)^2= 187750602948321000000 J
or, 44.87 gigatons of TNT 
So the other day I posted this:
http://www.narutoforums.com/blog.php?b=33840
And figured I'll try to calc the first two feats on this list
Hopefully I've found a way to make them quantifiable.
So, anyway, let's get to it.

1. Azuth and Savras blow up a mountain
Spoiler:
2. Selune and Shar shape the material plane
Spoiler:
Final Tally: