Of course you burn up because you are moving so fast. But imagine that you put a big tube around the planet and pulled a vacuum in that tube. Then you could be in orbit just off the ground, how fun would that be?
Just as impractical as this idea however as you'd have to hold the vacuum in a very very long tube.
a = v^2 / r = 15,000 x 15,000 / 500 = 450,000 m/sec^2 or 45,000g. It's on the same order of magnitude as the previous calcs.
That's obviously also a big engineering challenge because it's freaking HUGE, especially for the precision required.
The really great thing about going super-super fast is that at 15km/sec you're in space in ~10 seconds. Obviously you're going to start scrubbing speed really fast since drag is proportional to velocity squared. But you can evacuate the whole launch assembly and put some kind of an explosively opened door at the exit point and maintain your speed up until the last second.
I don't think it's practical in any manner but I think such brute-forcing stream of projectiles out of atmosphere by literally punching hole in it might be nice to look at.
When one body exerts a force on a second body, the second body simultaneously exerts a force equal in magnitude and opposite in direction to that of the first body.
If you plan to generate acceleration using mechanical force like the reference design, you'd need a massive counterweight. An equal and opposite energy would be transferred to the counterweight, so you need a lot of mass, which would require an even more massive dirigible. You also need somewhere to dissipate that energy. In the reference design, the Earth is used as the counterweight.
Alternatively, you could generate the circular motion using something like a rocket engine, in which case you might as well just use a rocket for linear acceleration and ditch the gyration mechanism.
indeed. tho, we should also note that we are looking at a weakest link thing. can that one bolt sustain that much pressure? or maybe that one weld? or any of the concrete parts that attach to the earth itself?
shrug
m3mnoch.
Also, you'd durability as well as raw strength of materials will come in here since they'll be trying to use the thing repeatedly.
http://en.wikipedia.org/wiki/Centrifugal_force
a = v^2/r
so let's go with 1km/sec and a diameter of 5m. a = 1,000 x 1,000 / 2.5 = 400,000 m/s^2 or roughly 40,000 g
Now let's assume that it's a 1/4lb weight as described or 0.1kg.
F = m x a = 0.1 x 400,000 = 40,000 newtons.
Next let's assume that the piece of metal is steel and roughly cubic. It's density is around 8g/cm^3 (http://hypertextbook.com/facts/2004/KarenSutherland.shtml).
Mass = density x volume => volume = mass / density = 100g / 8g/cm^3 = 12cm^3
cube root(12) ~= 2.3 so we've got a cube with faces around 2.3cm on a side.
They've said that they're going to encase it in plastic so let's neglect the strength of the plastic and call it 2x the size of the cube. That brings this to 5cm x 5cm.
Now let's translate that into pressure.
P = F / a = 40,000 / (.05 x .05) = 16 MPa
The tensile yield strength for a regular, boring steel (A36) is 250MPa and the ultimate tensile strength (the max it can hold prior to breaking but after deforming) is 400MPa so this is fine for now.
http://en.wikipedia.org/wiki/Ultimate_tensile_strength
At 2km/sec you get 64MPa needed and at 7km/sec you need 784MPa all of which are within the realm of possible but rapidly heading towards the limits of material strength.
The 784MPa number would go down if you made the diameter bigger, too.
Ultimately they aren't building a thing which will disintegrate the slug (my initial thought) but it's going to have to be extremely well engineered and precisely made for balance in order to ensure that it doesn't tear itself apart. The technical combination of a steel rolling mill and a swiss watch. And due to balance issues definitely harder from a technical perspective than even the really tough portions of a rocket.
EDIT: didn't realize that "*" did formatting so I fixed it.
EDIT2: Screwed up on the calcs, assumed 10,000m/sec instead of 1,000/msec. Fixing those.