Air Injection Pipe
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What power/force/pressure does it require?
An air motor or hydraulic motor is required to produce 1 hp power.I have made 2 different A B air tank or liquid tank connected by a pipe to supply from one to another.Both tank having 1ft diameter and 1ft length.Like an injection syring tank B has a displacement of 1ft to compress the air or to push the liquid.A hydraulic jack is made like this that in one stroke/pull of leaver the injection pumps the 1 tank air or liquid to tank A from B through a one way check valve installed in the connection pipe.
What ( human) power/effort in leaver will it require when the air is to be compressed 1000 :1 thousand into one? Or up to what ratio one man can compress air.
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It's not exactly clear what you're trying to do here, but let me put some bounds around it. It's useful to compare this situation to the physics of bicycling, since it is one of the most efficient human power conversion activities.
A very fit 20-29 yr old male can produce about 250 Watts of external aerobic power (mainly with his legs.) for about 30-45 minutes. That's about a third of the 1 horsepower (~750 W) you're looking for. You can trade peak power for endurance time to some extent.
A bicyclist exerts about 25-50 kg of force alternately with each leg over a displacement of about 30 - 40 cm. ( 2 x pedal crank length) at a cadence of 120 - 150 strokes per minute.
For 1000X compression using a peak force of 50 kgf (500 Newtons) to get to 1000 atmospheres, you can calculate the piston area 500 N/ (1000 atm (10^5 Pa/atm)) = 500 N /10^8 Pa (N/m^2) = 5 e-6 m^2. This gives you a piston around 2 mm in diameter for the 30 - 40 cm displacement. (A far cry from the 1 ft diameter.*) With a lever you can trade displacement for peak force to get a larger piston.
Also, compressing air 1000-fold, from atmospheric pressure to nearly 1000 atmospheres is challenging. The biggest issue is the power lost to heat during the compression. If you can't keep the gas cool as you compress it, a lot of your stored energy in the gas is lost as it cools and the pressure falls. This puts you even farther away from your 1 hp goal.
Hydraulic conversion is a lot more efficient.
* 1000 atm of pressure in a 1 ft diameter vessel presents serious materials strength issues.
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