Middle-Earth Roleplaying (or MERP) has lots of impressive feats, so why not calc them? Of course, the water-themed Ainur have plenty of impressive showings. Needless to say, MERP is its own continuity, seperate from the books, movies, games and other iterations of Tolkiens mythos.
1. Osse's Isle-moving
Osse possesses the ability to raise and move islands up to a radius of 325 miles (523.0368km, or 523036.8m). It takes as many days as the radius as the island to raise it, but moving the island takes one nautical mile per day. The average depth of the ocean is 3688m deep,
V = πr^2h
= π X 523036.8^2 X 3688
= 3.16960598e15m^3
As it's raised from the bottom of the sea, we can use the average density of the oceanic crusts (that being 3.0 grams per cm^3, or 3000kg per m^3).
M = 3.16960598e15 X 3000kg
= 9.50881794e18kg
1 nautical mile is equal to 1.85200km.
T = 1.85200km/1 day
= 0.0214351852m/s
E = (0.5)mv^2
= (0.5) X 9.19185734e18 X 0.0214351852^2
= 2.11167831e15 joules
= 504.7032289674951926 kilotons
That's...not too impressive for shifting a country-sized landmass. Fortunately, that's not all there is to it; even if it was done very slowly, we can also get the GPE for raising the island, as that involves lifting it against gravity (with the centre of gravity being in the middle).
H = 3688m/2
= 1844m
E = 9.19185734e18 X 9.81 X 1844
= 1.6627739e23 joules
= 39.741250000000000853 teratons
This doesn't include the height of any landmass on this island, so it's going to be even higher.No timeframe is given to any of the islands raised in the books, but in anycase the KE itself isn't really close to the most impressive part in MERP continuity in anycase.
2. Osse's Water-Weaving
From that same page, it also says that Osse can create waves of up to 325 feet (99.06m) in a range of 325 miles (523036.8m). Volume as a torus.
R = 99.06m/2
= 49.53m
V = (πr^2)(2πR)
= (π X 49.53^2) X (2 X π X 523036.8)
= 2.53278685e10m^3
Weight of water is 1000kg per m^3.
M = 2.53278685e10 X 1000kg
= 2.53278685e13kg
Going by it's size, this is almost certainly a tsunami. Tsumani's when out at deep sea can travel at 500mph (or 223.52m/s), but when they reach land travel slower at 20mph to 30mph (or an average of 25mph, or 11.17600m/s) based off this. As thus, those will serve as our low end and our high end.
(Low end)
KE = (0.5)mv^2
= (0.5) X 2.53278685e13 X 11.17600^2
= 1.58176308e15 joules
= 378.0504493307839198 kilotons
(High end)
KE = (0.5)mv^2
= (0.5) X 2.53278685e13 X 223.52^2
= 6.3270523e17 joules
= 151.22017925430210994 megatons
However, it doesn't specify if the range is in diameter of radius, so just to be safe, let's also go with a low end assuming diameter.
R = 523036.8m/2
= 261518.4m
V = (πr^2)(2πR)
= (π X 49.53^2) X (2 X π X 261518.4)
= 1.26639343e10m^3
M = 1.26639343e10 X 1000kg
= 1.26639343e13kg
(Low end)
KE = (0.5)mv^2
= (0.5) X 1.26639343e13 X 11.17600^2
= 7.90881541e14 joules
= 189.025224904397703 kilotons
(High end)
KE = (0.5)mv^2
= (0.5) X 1.26639343e13 X 223.52^2
= 3.16352616e17 joules
= 75.610089866156783955 megatons
3. Ulmo's Isle-moving
Similar to Osse, Ulmo can also move mountains, except the radius of the islands he can move are 490 miles (788.57856km, or 788578.56m), and faster too, at a rate of 100 miles per day (160.9344km a day). Using similar values to above for dimensions and mass...
V = πr^2h
= π X 788578.56^2 X 3688
= 7.20494576e15m^3
M = 7.20494576e15 X 3000kg
= 2.16148373e19kg
T = 100 miles/1 day
=1.86266667m/s
KE = (0.5)mv^2
= (0.5) X 2.16148373e19 X 1.86266667^2
= 3.74966321e19 joules
= 8.9619101577437856321 gigatons
Once again, we can find the energy to raise these islands with GPE (even if the speed at which they're raised isn't worth looking into).
E = 2.16148373e19 X 9.81 X 1844
= 3.91004625e23 joules
= 93.452348231357547093 teratons
Again, as this doesn't include the elevation of the landmass above water, the final results should be even higher.
4. Ulmo's Water-weaving
Similar to Osse, Ulmo can create colossal tidal waves, only as a Valar, his tsunamis are even bigger, with a height of 980 feet (298.70400m) in a range of 980 miles (1577.15712km, or 1577157.12m). Once again, we'll use the same values as per above for finding the volume (as a torus) and for speed.
R = 298.70400m/2
= 149.35200m
V = (πr^2)(2πR)
= (π X 149.35200^2) X (2 X π X 1577157.12)
= 6.94427302e11m^3
The mass of water has not changed.
M = 6.94427302e11 X 1000kg
= 6.94427302e14kg
(Low end)
KE = (0.5)mv^2
= (0.5) X 6.94427302e14 X 11.17600^2
= 4.33680183e16 joules
= 10.365205138623327485 megatons
(High end)
KE = (0.5)mv^2
= (0.5) X 6.94427302e14 X 223.52^2
= 1.73472073e19 joules
= 4.1460820506692162013 gigatons
Once more, just to be sure, let's also get a low end assuming range refers to the diameter.
R = 1577157.12m/2
= 788578.56m
V = (πr^2)(2πR)
= (π X 149.35200^2) X (2 X π X 788578.56)
= 3.47213651e11m^3
M = 3.47213651e11 X 1000kg
= 3.47213651e14kg
KE = (0.5)mv^2
= (0.5) X 3.47213651e14 X 11.17600^2
= 2.16840092e16 joules
= 5.1826025812619507249 megatons
(High end)
KE = (0.5)mv^2
= (0.5) X 3.47213651e14 X 223.52^2
= 8.67360366e18 joules
= 2.0730410277246655859 gigatons
Final Results
Osse's Isle-moving = 504.703 kilotons
Osse's Isle-raising = 39.741 teratons
Osse's Water-weaving tsunami (low low end) = 189.025 kilotons
Osse's Water-weaving tsunami (high low end) = 75.610 megatons
Osse's Water-weaving tsunami (low high end) = 378.050 kilotons
Osse's Water-weaving tsunami (high high end) = 151.220 megatons
Ulmo's Isle-moving = 8.962 gigatons
Ulmo's Isle-raising = 93.452 teratons
Ulmo's Water-weaving tsunami (low low end) = 5.183 megatons
Ulmo's Water-weaving tsunami (high low end) = 2.073 gigatons
Ulmo's Water-weaving tsunami (low high end) = 10.365 megatons
Ulmo's Water-weaving tsunami (high high end) = 4.146 gigatons
1. Osse's Isle-moving
V = πr^2h
= π X 523036.8^2 X 3688
= 3.16960598e15m^3
As it's raised from the bottom of the sea, we can use the average density of the oceanic crusts (that being 3.0 grams per cm^3, or 3000kg per m^3).
M = 3.16960598e15 X 3000kg
= 9.50881794e18kg
1 nautical mile is equal to 1.85200km.
T = 1.85200km/1 day
= 0.0214351852m/s
E = (0.5)mv^2
= (0.5) X 9.19185734e18 X 0.0214351852^2
= 2.11167831e15 joules
= 504.7032289674951926 kilotons
That's...not too impressive for shifting a country-sized landmass. Fortunately, that's not all there is to it; even if it was done very slowly, we can also get the GPE for raising the island, as that involves lifting it against gravity (with the centre of gravity being in the middle).
H = 3688m/2
= 1844m
E = 9.19185734e18 X 9.81 X 1844
= 1.6627739e23 joules
= 39.741250000000000853 teratons
This doesn't include the height of any landmass on this island, so it's going to be even higher.No timeframe is given to any of the islands raised in the books, but in anycase the KE itself isn't really close to the most impressive part in MERP continuity in anycase.
2. Osse's Water-Weaving
From that same page, it also says that Osse can create waves of up to 325 feet (99.06m) in a range of 325 miles (523036.8m). Volume as a torus.
R = 99.06m/2
= 49.53m
V = (πr^2)(2πR)
= (π X 49.53^2) X (2 X π X 523036.8)
= 2.53278685e10m^3
Weight of water is 1000kg per m^3.
M = 2.53278685e10 X 1000kg
= 2.53278685e13kg
Going by it's size, this is almost certainly a tsunami. Tsumani's when out at deep sea can travel at 500mph (or 223.52m/s), but when they reach land travel slower at 20mph to 30mph (or an average of 25mph, or 11.17600m/s) based off this. As thus, those will serve as our low end and our high end.
(Low end)
KE = (0.5)mv^2
= (0.5) X 2.53278685e13 X 11.17600^2
= 1.58176308e15 joules
= 378.0504493307839198 kilotons
(High end)
KE = (0.5)mv^2
= (0.5) X 2.53278685e13 X 223.52^2
= 6.3270523e17 joules
= 151.22017925430210994 megatons
However, it doesn't specify if the range is in diameter of radius, so just to be safe, let's also go with a low end assuming diameter.
R = 523036.8m/2
= 261518.4m
V = (πr^2)(2πR)
= (π X 49.53^2) X (2 X π X 261518.4)
= 1.26639343e10m^3
M = 1.26639343e10 X 1000kg
= 1.26639343e13kg
(Low end)
KE = (0.5)mv^2
= (0.5) X 1.26639343e13 X 11.17600^2
= 7.90881541e14 joules
= 189.025224904397703 kilotons
(High end)
KE = (0.5)mv^2
= (0.5) X 1.26639343e13 X 223.52^2
= 3.16352616e17 joules
= 75.610089866156783955 megatons
3. Ulmo's Isle-moving
V = πr^2h
= π X 788578.56^2 X 3688
= 7.20494576e15m^3
M = 7.20494576e15 X 3000kg
= 2.16148373e19kg
T = 100 miles/1 day
=1.86266667m/s
KE = (0.5)mv^2
= (0.5) X 2.16148373e19 X 1.86266667^2
= 3.74966321e19 joules
= 8.9619101577437856321 gigatons
Once again, we can find the energy to raise these islands with GPE (even if the speed at which they're raised isn't worth looking into).
E = 2.16148373e19 X 9.81 X 1844
= 3.91004625e23 joules
= 93.452348231357547093 teratons
Again, as this doesn't include the elevation of the landmass above water, the final results should be even higher.
4. Ulmo's Water-weaving
Similar to Osse, Ulmo can create colossal tidal waves, only as a Valar, his tsunamis are even bigger, with a height of 980 feet (298.70400m) in a range of 980 miles (1577.15712km, or 1577157.12m). Once again, we'll use the same values as per above for finding the volume (as a torus) and for speed.
R = 298.70400m/2
= 149.35200m
V = (πr^2)(2πR)
= (π X 149.35200^2) X (2 X π X 1577157.12)
= 6.94427302e11m^3
The mass of water has not changed.
M = 6.94427302e11 X 1000kg
= 6.94427302e14kg
(Low end)
KE = (0.5)mv^2
= (0.5) X 6.94427302e14 X 11.17600^2
= 4.33680183e16 joules
= 10.365205138623327485 megatons
(High end)
KE = (0.5)mv^2
= (0.5) X 6.94427302e14 X 223.52^2
= 1.73472073e19 joules
= 4.1460820506692162013 gigatons
Once more, just to be sure, let's also get a low end assuming range refers to the diameter.
R = 1577157.12m/2
= 788578.56m
V = (πr^2)(2πR)
= (π X 149.35200^2) X (2 X π X 788578.56)
= 3.47213651e11m^3
M = 3.47213651e11 X 1000kg
= 3.47213651e14kg
KE = (0.5)mv^2
= (0.5) X 3.47213651e14 X 11.17600^2
= 2.16840092e16 joules
= 5.1826025812619507249 megatons
(High end)
KE = (0.5)mv^2
= (0.5) X 3.47213651e14 X 223.52^2
= 8.67360366e18 joules
= 2.0730410277246655859 gigatons
Final Results
Osse's Isle-moving = 504.703 kilotons
Osse's Isle-raising = 39.741 teratons
Osse's Water-weaving tsunami (low low end) = 189.025 kilotons
Osse's Water-weaving tsunami (high low end) = 75.610 megatons
Osse's Water-weaving tsunami (low high end) = 378.050 kilotons
Osse's Water-weaving tsunami (high high end) = 151.220 megatons
Ulmo's Isle-moving = 8.962 gigatons
Ulmo's Isle-raising = 93.452 teratons
Ulmo's Water-weaving tsunami (low low end) = 5.183 megatons
Ulmo's Water-weaving tsunami (high low end) = 2.073 gigatons
Ulmo's Water-weaving tsunami (low high end) = 10.365 megatons
Ulmo's Water-weaving tsunami (high high end) = 4.146 gigatons
