Measuring electronically has many challenges, the cost of the equipment and the speed it has to operate being only two. Using a pendulum and a mechanical device to mark the highest point of the pendulum’s swing after impact would be much simpler and allow you to compare impact energy between any number of bow set ups.I get the calculated equation for force and momentum on paper and agree with it.
However, it would really be interesting to see a measurement at the actual impact of the target. Then can compare from arrow to arrow, speed to mass weight, etc. Then you can actually see how the momentum equation actually works. How more mass and less speed compared to higher speed and less mass…when those two show momentum the same.
There has to be a more simple than you think way to do that. Kind of like the sledge hammer force hitting the bell gag at the fair.
The finer points of lowering friction to make it operate consistently would take some work, but it’s certainly feasible. There would always be some error in the measurement because the arrow would always dissipate some energy as it punctures the pendulum, but I think you’d still get a useful comparison between setups.
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