I stand corrected . . . I forgot about all the pulp fiction novelists. But on the other hand, I don't read pulp fiction novels, so not thinking of them doesn't bother me much.
I assumed (perhaps stupidly) that the original poster may be writing a book which would at least contain some fantastic use for the presumed air flow in a 5" pipe, one end of which would be exposed to the vacuum of space, therefore qualifying the book as technical, non-fiction. However, I should not have assumed such a thing without also assuming that the book might be a science fiction novel for non-technical people.
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We have met the enemy and he is us . . . Walt Kelly
The correct answer is given by those who answered before.
I am looking at the possibility to move, upwards, a column of air.
So, if I have a pipe of a length longer than the width of Earth's atmosphere, with ID = 5 inch, pointed upwards, the column of air would exercise a pressure of 506 atm (about 7436 psi). A knowledgeable person would calculate loses due to friction, viscosity, etc, and will come with the necessary pressure at the lower end, in order to create a flow of a certain value.
That reminds me of that sheik who wanted a water pump, powerful enough, to pump water strait upwards, in desert, so the water would not fall back to the ground (due to the complete evaporation).
Eh, people are thinking...
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Bridge rule #1: Nobody is as good as he thinks about himself nor as dumb, as his partner thinks...
The pipe would actually have a pressure of 1 atm at the bottom and 0 atm at the top (rounded off). Think of the air around you. Now add a 5" pipe that is almost seamless - just a 0.001" slit left. It still looks just like the atmosphere around you. Now slowly close that slit. There is never a moment at which you could imagine some huge pressure jump.
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"Well, I've wrestled with reality for 35 years, Doctor, and I'm happy to state I finally won out over it." Elwood P. Dowd
Updrafts in the strongest severe thunderstorms reach 100 mph, or so I have heard during storm spotter training. They only reach to the top of the troposphere, and they are much wider than 5 inches. The troposphere ranges from 6 miles at the poles to 12 miles at the equator. The troposphere is the lowest layer of the atmosphere.
I offer this as a real world sample for comparasion purposes. You could look into mesocyclones or supercell updrafts if you wanted to do further research.
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I wonder..... Would Schrödinger's cat play with a ball of string theory?
I received lots of replies but no one answered the question. What i meant by sea level was, short for standard temp and pressure, a hole in the side of a space ship.
Sorry But could not find the answer of yesterdays question.
Ah! Now that we know some specifics, we can start to give you a relevant answer, or point you in the right direction.
I imagine you want the exit velocity of the air escaping from a spaceship that has been pressurized to 1 standard atmosphere, and a 5-inch diameter hole has been blasted or accidentally drilled into the ship's hull. In this case the hole will act like the nozzle of a rocket engine. You will probably need to know the volume of the ship. If the ship exists only in your imagination, then you will have to determine that number yourself based on any dimensions you've already created.
I advise you to look up formulas for nozzle velocity. If you can't find any, then you probably want to look at Bernoulli.
I'm no rocket scientist, just a guy familiar with the basics of rocket engines, as I'm sure most CR4ers are.
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I wonder..... Would Schrödinger's cat play with a ball of string theory?