Fun With Numbers AKA Shinzon's Gonna Die of Old Age.
Posted: 2003-03-09 10:44am
OK, in a thread on The Other Message Board, it was discussing the Scimitar versus the DeathStar. This spurred in me a thought and a absolutely funny one as well. During StarTrek Nemesis, it took the Scimitar 7 minutes to charge up it's Thaleron Toaster enough to be able to wipe out the Enterprise. It's supposed to be able to cook a planet as well, so is the claim. But I was thinking. Planets are big. Damn big. Colossally big, compared to the Enterprise. Naturally, it's going to take longer for the Scimitar to charge up in order to barbeque the Earth. Right? So I assumed a linear relationship between the volume effected and the charge time and went at it.
OK, first, I wanted to determine the volume of the Enterprise. I've been informed that it's 680 by 240 by 87 meters. Because of the sheer scale of a planet, however, I'm going to knock it to kilometers now and save myself a tiny bit of trouble later. So that's .68 by .24 by .087 km. Now, the Enterprise isn't a box, so I can't just multiply them and call that the volume. But I'm going to make the guessimation that if it were put in such a box, it would fill it about 3/4ths the volume. Is that fair?
OK, so it's (and tell me if I fucked up the math anywhere and I'm rounded to the third place):
(.68 x .24 x .087)(.75) =
(.014)(.75) = .011 km³
Right, so the guessimated volume of the Enterprise is .011 km³. Now we have a ratio! So it's .011 km³ per 7 min of charge time.
But what of the Earth? According to the Planetary fact sheet, the Earth has a mean radius of 6371.0 km. We need to find the surface area, then calculate land area. The Earth is 70% covered in water, so I'm just going to assume he Toaster Ovens the land parts where people live.
So:
(4 x pi x (6371)²)(.7) =
(4 x 3.142 x 40,589,641)(.7) =
(510,130,608.088)(.7) = 357,091,425.662 km²
Fabulous. Now lets say that he's got to irradiate a kilometer high, just to cube that. So the Scimitar needs to zap 357,091,425.662 km³. This volume is a good bit larger than the Enterprise, eh?
Anyway:
(357,091,425.662 / .011) = 32,462,856,878.327
That's right, the volume is 32,462,856,878.327 that of the Enterprise. Multiply that times 7 minutes and we get 227,239,998,148.290 minutes. That's 432,048 years and change!
(Disclaimer: this thread is rated not-to-serious. The numbers, to the best of my admittedly rusty ability are real, but I'm just having a bit of fun. Flame and look like a fool.)
OK, first, I wanted to determine the volume of the Enterprise. I've been informed that it's 680 by 240 by 87 meters. Because of the sheer scale of a planet, however, I'm going to knock it to kilometers now and save myself a tiny bit of trouble later. So that's .68 by .24 by .087 km. Now, the Enterprise isn't a box, so I can't just multiply them and call that the volume. But I'm going to make the guessimation that if it were put in such a box, it would fill it about 3/4ths the volume. Is that fair?
OK, so it's (and tell me if I fucked up the math anywhere and I'm rounded to the third place):
(.68 x .24 x .087)(.75) =
(.014)(.75) = .011 km³
Right, so the guessimated volume of the Enterprise is .011 km³. Now we have a ratio! So it's .011 km³ per 7 min of charge time.
But what of the Earth? According to the Planetary fact sheet, the Earth has a mean radius of 6371.0 km. We need to find the surface area, then calculate land area. The Earth is 70% covered in water, so I'm just going to assume he Toaster Ovens the land parts where people live.
So:
(4 x pi x (6371)²)(.7) =
(4 x 3.142 x 40,589,641)(.7) =
(510,130,608.088)(.7) = 357,091,425.662 km²
Fabulous. Now lets say that he's got to irradiate a kilometer high, just to cube that. So the Scimitar needs to zap 357,091,425.662 km³. This volume is a good bit larger than the Enterprise, eh?
Anyway:
(357,091,425.662 / .011) = 32,462,856,878.327
That's right, the volume is 32,462,856,878.327 that of the Enterprise. Multiply that times 7 minutes and we get 227,239,998,148.290 minutes. That's 432,048 years and change!
(Disclaimer: this thread is rated not-to-serious. The numbers, to the best of my admittedly rusty ability are real, but I'm just having a bit of fun. Flame and look like a fool.)