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It would be immensley efficient,
Okay if its a question of identifying work done (useful or not) then find a large mass of a material that is immune to deformation or cracking at these forces (high grade cast iron?) Stick it and the hammer in a vacuum, then measure how much the worked material heats up. After all where else can the energy go?One problem: the hammer's engine would need to be cooled, plus some of the heat from it could conduct through the foot to the worked material.
It would be immensely efficient, -but for fuel yield type and -full usage of compression ratio -with the 15:1 parts carburation mix.Depends what those three points reach.
Do they still use those things, I haven't seen one for years?
The OP asked about efficiency of the machine - not just the combustion bit....As a lad, I used to see compressed air hammers. They would have a very different time profile.