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Many factors at play in regards to a pumps maximum pressure but you actually have it the wrong way round. A smaller bore pump cyclinder will require less force to pump to a higher pressure (although it shifts less air than a larger bore for an equivalent travel so will require more strokes to shift the volume of air needed).The smaller the pump the less likely it will reach that pressure regardless of what the packaging promises it can reach
I have an old Zefal pump for my MTB that has a bore of around 1.5" and this can be used to get to about 65-70psi but after that becomes simply too hard to pump any more (and I am a big strong bloke). The much smaller Topeak Pocket Rocket is still childs play to pump even over 100psi, purely due to the mechanical advantage of using a smaller bore. I did get caught out last summer on a family ride and had to inflate a 650b 2.2" MTB tyre with the tiny Topeak. It did a sterling job and as the required pressure was only 40psi it didn't even take very long.
All wrong! A smaller pump (narrower) will achieve higher pressures with less effort (force). Using a big pump to get to high pressure is like trying to drive your car up a steep hill in 5th gear.anything smaller will take a lot more strokes and effort and the small one I doubt will get to 100.