Seattle Tacoma Olympia
1-833-NeedAir
(633-3247)

Diversified Compressor Technologies, LLC.
             "Your Compressed Air Specialists"

Compressed Air Formulas

Free air if volumetric efficiency (%) and piston displacement are known:
 
Free Air = piston displacement X eff. (%)

          
To find cubic feet of either compressed air or free air: 

cu.ft. comp. air X (psig + 14.7) = cu.ft. free air X 14.7
   
  • cu.ft. free air [ Cubic Feet of Free Air ]
  • cu.ft. comp. air [ Cubic Feet of Compressed Air ]
 
 To convert gallons (tank size) to cubic feet:

gallons X .134 =cu.ft.

 Air Cylinders:

Total force in lbs. of air cylinder = area of the cylinder diameter (in) x psi gauge pressure
CFM of Free Air req'd to Operate Air Cylinder (single acting)
= vol. of cyl. (in cu. ft.) x cycles per minute x (gauge psi + 14.7)/14.7
For double acting air cylinder multiple by 2

Compressor RPM: 

motor pulley diameter x motor rpm
compressor pulley diameter

Motor Pulley Diameter: 

compressor pulley diameter x compressor rpm
motor rpm


Compressor Pulley Diameter:

motor pulley diameter x motor rpm
compressor rpm

 

Motor RPM:

compressor pulley diameter x compressor rpm
motor pulley diameter

 
 
Required Piston Displacement:

free air
vol. eff.

             
Piston Displacement in Cu.Ft. Min.:

cyl. bor in in. x cyl. bore x stroke in in. x rpm
2200

 
Cu. Ft. Compressed Air:

cu. ft. free air x 14.7
(psig x 14.7)

Cu. Ft. Free Air:

cu. ft. compressed air x (psig + 14.7)
14.7
 
 

 
Gallons:

cyl. bor in in. x cyl. bore x stroke in in. x rpm
2200

 Pump Up Time:

V (tank size in gallons) x (final tank press-initial tank press)
7.48 x atmos. press. (psia) x pump delivery (cfm)

 
Gallons:

cubic feet
.134

 
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