Originally posted by Astner
According to the anime it's nine laps in 7 seconds. Each lap being approximately 3/2 times the circumference of the earth.The circumference of the earth is : Vertical circumference: 40,000 km, horizontal circumference 40,076 km.
Given:
S = 7 × ³/₂ × E
E = (E_h + E_v)/2
E_h = 40,076,000 m
E_v = 40,000,000 m
t = 7 s
Solution:
Since the orbits were spread spread out symmetrically the average circumference of the Earth, E, is the constant we're using.
v = s/t = 7 × ³/₂ × (40,076,000 +40,000,000)/2 = 420 × 10^6
Answer: 420 × 10^6 or 1.4c (1.4 × lightspeed)
I'd like to remind everyone that it isn't anime filler.
You're incorrect on several points.
Let's start it from the top:
I'll go with you 3/2 E_c (where E_c is the distance Gotenks traveled IF the orbit was symmetrical.) Since the orbit is NOT symmetric, but, rather, a slightly irregular circle in the shape of a flattened spiral, you have to figure out the distance between equal points on subsequent revolutions, then account for the increased distance, then use THAT distance as your distance traveled, per unit time.
From that, I think there's some sort of formula out there for the increased distance based on the "angle" the subsequent "circles" are from each other.
*watches video*
Shit.
It's even faster than you're estimating because he is NOT going in a spiral, like I said above. he is stopping completely on the other side, changing directions, and making another complete circle. That's faster than just going at it straight.
Hmmmm...
K, we'll stick with 3/2
So, to figure out the speed, per second, traveled, first, you'd have to find out the distance traveled per second...which just happens to be what "speed/velocity" is.
We know that he's traveling (((3/2)*40041)*9)/7. Remember, speed is distance traveled divided by time. Find the total distance traveled, first.
40041Km * 3/2 = 60061.5 Km per revolution.
So, now find the total distance traveled:
60061.5 Km * 9 revolutions = 540553.5 Km
We found total distance traveled. Now, we have to find speed which is distance per unit time. 7 Second is the total time to travel that distance, so we want to find how many Km he traveled in 1 second.
Divide our total number by 7 to find that:
77222 Km/s
Now, we have to compare those to the speed of light.
That's 299,972 Km/s
So, divide 77222 by the speed of light to find what percentage he traveled of the speed of light: .2574 C or 25.74%
So, he was traveling just a tad over a quarter of the speed of light.
BTW, the average circumference that I used was the mean circumference.