Rafael de Oliveira wrote:As I said, the rules are:....
Well, the "design" given complies with rules 1, 2 and 3. But the rule number 4.... that's the hard one.
Of course there are limits: they are given by the equations. You should start tinkering around for parts, and once you have the basics and know how much they weight (I mean, tank material, wheels, "syringe-and-spring" or whatever you are going to use to pressurize the tank), maybe we can help a little with the amount of water you should carry...
I'd recommend balsa wood for the chassis instinctively. I think I can design the frame, if you give me the weights of the things you are going to use. In a rocket, all mass is critical (and apparently, in a flying saucer too: have you noticed how thin the aliens are depicted?
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).
It would be useful (if this is not the "first season") to know the times posted by previous record holders for the "10 meter drag track".
As an example, let's do a quick check for the "Sambodomo"
without spring and with 1 liter of water at 50 cm of height:
Energy available: 9.8 m/s2 * 0.5 m * 1 kg = 4.9 joules
Let's assume 2 kilos for everything except the water (chassis, wheels) and an optimistic 50% efficiency, then your final speed would be:
V = (2E/m)^1/2 = (2 * 4.9 joules * 50% / 3 kg) = 1.3 m/s
This is over 4 kph. I don't expect a heavy aerodynamic design...
Your acceleration would be a meagre:
a = (1.3 m/s)^2 / 2 * 10 m = 0.08 m/s2
No need for "neck training" in this race...
And your time for the run:
t = 1.3 m/s / 0.08 m/s2 = 16 seconds
If you want to go into the "low 10"
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you need a spring that provides at least an extra 5 or 6 joules (or 10 to 12 before factoring in the losses, if it is true they are 50%).
The acceleration would be fairly constant, nonwithstanding some members opinions, as the drop in the hydraulic head would be fairly low: a liter fits in a cube 10x10x10 cm, so even a cube tank would only diminish the pressure 20% in the entire run (the height of the water would drop from 60 cm to 50 cm). Of course, the shallower the tank, the smaller the drop in the hydraulic pressure. There is no relation between the quantity of water in the tank and the nozzle speed, as some had suggested.
Any gains in the weight of the chassis or in the height of the tank should give you the inverse of the square root of the gain in speed. This is, if you shave your chassis to 0.5 kilos, for a total of 1.5 kilos with water (half the assumed weight), your speed should increase the square root of the inverse of 50%, around 140%, to 1.8 m/s.
The same applies if you double the height of the tank from 0.5 m to 1 m. As the water weights a lot (duhhh..), it is more important (with the numbers given) the height of the tank than the weight of the chassis: you have to reduce the chassis weight to
a fourth of the assumed initial value, from 2 kilos to 0.5 kilos, which is a lot, to get the same gain as a doubling of the height will give you. The taller the chassis, the better, even if it weights a little more. I'd guess the best design would be some kind of stayed "brazilian Eiffel Tower", instead of a dome, as I suggested previously.
The problem here (
I'd say here is where the fluid dynamics thing finally appears!) is that the hydraulic losses on the tubing might be important. The speed of a rocket depends on the speed of the exhaust (water) on the exit and its pressure. But this speed and pressure depends on the losses on the tubing and the water head....
I'd say you have to take it from there, even if, as you can notice from the length of my post (nothing new), I am on vacation and alone with my cat at home...
Finally, your nozzle: the rate of flow should be high enough to empty the tank before the finish line. In my example, you need 1.000 cc in 16 seconds (let's say 10 for safety). So you need a flow of 100 cc/second, if you are going to use all your fuel. If you don't, your car will be slower than assumed.
Another solution would be a car that has the rotating tank that vyslegend suggests, but with a lenght of ten meters. As soon as the tank rotates by the virtue of its jet (and gravity), its tip would reach the finish line...
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I would call this design the "Flexi-tank".
A "cleverer" solution (I love to ruin rules) would be the "catapulted car" that you can easily imagine. Nothing in the rules states that you have to carry the water to the finish line: a jet (more like a dump of water) flows out of the car, charges the "trebuchet" and.... hey, this is not cheating, I'm learning from Ferrari...