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This thread was accepted. It was suggested to open a new thread for implementation. So I'm proposing to add explanation and formulas for finding KE when it's an omnidirectional feat to our KE feats page.
In omnidirectional feats, the effect is expelled equally in every direction rather than focused as a single vector. The kinetic energy depends on whether the object is expanding/compressing (reverse of expansion) or dispersing/being pulled from edge (reverse of dispersing), and whether the effect is confined to a 2-D plane or the 3-D space. For example, formulas on cloud calculations page account for 2-D one.
Formulas:
Given a total mass-equivalent m and a top speed v used for the feat, use the following effective kinetic energy formulas in place of the usual (1/2) * m * v^2, depending on geometry:
2-D omnidirectional:
Expansion / compression:
KE = (1/4) * m * v^2
Dispersing / reverse of dispersing:
KE= (1/12) * m * v^2
3-D omnidirectional:
Expansion / compression:
KE = (3/10) * m * v^2
Dispersing / reverse of dispersing:
KE = (1/20) * m * v^2
Formulas above work under assumptions of uniform density and linear velocity change.
In case of top speed being relativistic, this calculator can be used for calculation of all 4 versions where case 1 is relativistic version of 1/4 mv^2, case 2 is relativistic version of 1/12 mv^2, case 3 is relativistic version of 3/10 mv^2 and case 4 is relativistic version of 1/20 mv^2.
Now I'm not sure if wording/format is good enough so I'll appreciate if someone has better idea for that aspect. Thanks for reading!
Agree: Drite77, Naito-desu, KLOL506, DontTalkDT
Disagree:
Neutral:
In omnidirectional feats, the effect is expelled equally in every direction rather than focused as a single vector. The kinetic energy depends on whether the object is expanding/compressing (reverse of expansion) or dispersing/being pulled from edge (reverse of dispersing), and whether the effect is confined to a 2-D plane or the 3-D space. For example, formulas on cloud calculations page account for 2-D one.
Formulas:
Given a total mass-equivalent m and a top speed v used for the feat, use the following effective kinetic energy formulas in place of the usual (1/2) * m * v^2, depending on geometry:
2-D omnidirectional:
Expansion / compression:
KE = (1/4) * m * v^2
Dispersing / reverse of dispersing:
KE= (1/12) * m * v^2
3-D omnidirectional:
Expansion / compression:
KE = (3/10) * m * v^2
Dispersing / reverse of dispersing:
KE = (1/20) * m * v^2
Formulas above work under assumptions of uniform density and linear velocity change.
In case of top speed being relativistic, this calculator can be used for calculation of all 4 versions where case 1 is relativistic version of 1/4 mv^2, case 2 is relativistic version of 1/12 mv^2, case 3 is relativistic version of 3/10 mv^2 and case 4 is relativistic version of 1/20 mv^2.
Now I'm not sure if wording/format is good enough so I'll appreciate if someone has better idea for that aspect. Thanks for reading!
Agree: Drite77, Naito-desu, KLOL506, DontTalkDT
Disagree:
Neutral:
Last edited: