Divide the desired pressure in PSI by 14.7, then add 1 to that result.
Raise this total to the 0.283 exponent. If you are using a calculator, enter the result from Step 1, press the exponent button, then enter 0.283. Save the answer for Step 3.
Subtract 1 from the result of Step 2.
Multiply the total from Step 3 by 0.2267 and the current system air flow rate in cubic feet per minute (CFM). The result is the theoretical horsepower required to compress air to the desired pounds per square inch.