A particular engine needs a certain pressure to turn, plus whatever volume of air is needed to keep it going.
Most compressors have no problem producing pressure, but volume is more difficult. A reservoir is the easiest way to provide volume – a whacking big tank full of air.
The amount of air consumed depends on the volume of the cylinder times rpm, doubled if the piston is double acting, and allowing for the pressure. Not difficult for a small engine to need a few cubic feet of air per minute, so the jumbo pump on it's own will probably struggle. The pressure / volume ratio doesn't match the engine. Adding a reservoir and regulator that reduces the output pressure to suit the engine fixes it. The regulator could be quite small.
Not keen on home-made pressure vessels myself. I've driven a engine with a car foot pump hooked up via a plastic lemonade bottle. Reasonably safe because the amount of energy I can store in the bottle is small. Doing the same with an electric pump is dodgy, because it could squeeze a lot of energy in before the bottle bursts. Easier and much safer to buy a commercial compressor with built-in reservoir and regulator.
Finding air pumps for engines is bit tricky. The type based on fans shift plenty of volume but the pressure is too low. Electric Tyre pumps are high-pressure low-volume. Workshop compressors can do pressure and volume but are big, noisy and expensive. Quiet inexpensive air pumps producing enough pressure and volume to run a small engine seem thin on the ground.
Dave
Edited By SillyOldDuffer on 11/01/2022 17:50:54