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Is this a fair trap?
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<blockquote data-quote="AbdulAlhazred" data-source="post: 8285665" data-attributes="member: 82106"><p>Yeah, if the flow rates are beyond a certain point. So, I previously approached this as a momentum transfer, with the assumption that (at least as a first approximation) all the momentum of the falling block was transferred to the cube. However we can approach it in a completely other way which is probably even better.</p><p></p><p>The block can be thought of as a hydraulic cylinder with an area of approximately 90 ft^2, and the reacting cylinder would then have an area of 10 ft^2. With a ratio of 9:1 the pressure on the reacting side is 9x that on the acting side (it is just like a lever with a 9:1 ratio, basic hydraulics). We established that the PASSIVE pressure on the cub was on the order of 14 PSI, so the passive pressure must be 140 PSI, roughly. This is still enough to eject material with considerable velocity, and only accounts for the block's weight, not its initial downward momentum. </p><p></p><p>Surely during the deceleration phase the pressure MUST be considerably greater. <a href="https://www.enworld.org/threads/is-this-a-fair-trap.680276/post-8285176" target="_blank">Here</a> [USER=42582]@pemerton[/USER] calculated the pressure at 100 PSI at the moment of impact, which would imply 900 PSI outflow. Your average power washer is putting out no more than 250 PSI, tops. I think a 10 ft^2 outflow at 900 PSI is going to be a pretty big outflow! Granted, it is probably only happening for a very brief time. Pemerton stated 1/10th of a second for his pressure calculation, so it is a short, but high volume, squirt. </p><p></p><p>Honestly, if the average speed during deceleration is 4 m/sec and it is 0.1 sec long, then the travel must be .4 meters, which means roughly 5 m^3 or about 50 ft^3 of material was displaced, at decreasing pressures. That should be enough to thoroughly wet anyone or anything within a few meters of the trap. It would certainly be on the order of having a bucket of slime dumped on you! </p><p></p><p>I also think that the GC slime has to have SOME effectiveness, if only for a very brief time. After all, contact with it is paralyzing, and it certainly doesn't have time to change its bulk chemical composition much in the brief instant it is being splashed... I guess you could suppose that the effect is actually requiring a reaction of some sort involving some complicated dynamic chemical process. More likely the cube stores some of the 'toxin' in its body somehow, or a couple of simple precursors that form a 'binary toxin'. I'd be happy to rule that the save you got was at a bonus. The effect would also probably end fairly quickly, though for the purposes of the trap that probably doesn't matter MUCH. <img src="https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f642.png" class="smilie smilie--emoji" loading="lazy" width="64" height="64" alt=":)" title="Smile :)" data-smilie="1"data-shortname=":)" /></p></blockquote><p></p>
[QUOTE="AbdulAlhazred, post: 8285665, member: 82106"] Yeah, if the flow rates are beyond a certain point. So, I previously approached this as a momentum transfer, with the assumption that (at least as a first approximation) all the momentum of the falling block was transferred to the cube. However we can approach it in a completely other way which is probably even better. The block can be thought of as a hydraulic cylinder with an area of approximately 90 ft^2, and the reacting cylinder would then have an area of 10 ft^2. With a ratio of 9:1 the pressure on the reacting side is 9x that on the acting side (it is just like a lever with a 9:1 ratio, basic hydraulics). We established that the PASSIVE pressure on the cub was on the order of 14 PSI, so the passive pressure must be 140 PSI, roughly. This is still enough to eject material with considerable velocity, and only accounts for the block's weight, not its initial downward momentum. Surely during the deceleration phase the pressure MUST be considerably greater. [URL='https://www.enworld.org/threads/is-this-a-fair-trap.680276/post-8285176']Here[/URL] [USER=42582]@pemerton[/USER] calculated the pressure at 100 PSI at the moment of impact, which would imply 900 PSI outflow. Your average power washer is putting out no more than 250 PSI, tops. I think a 10 ft^2 outflow at 900 PSI is going to be a pretty big outflow! Granted, it is probably only happening for a very brief time. Pemerton stated 1/10th of a second for his pressure calculation, so it is a short, but high volume, squirt. Honestly, if the average speed during deceleration is 4 m/sec and it is 0.1 sec long, then the travel must be .4 meters, which means roughly 5 m^3 or about 50 ft^3 of material was displaced, at decreasing pressures. That should be enough to thoroughly wet anyone or anything within a few meters of the trap. It would certainly be on the order of having a bucket of slime dumped on you! I also think that the GC slime has to have SOME effectiveness, if only for a very brief time. After all, contact with it is paralyzing, and it certainly doesn't have time to change its bulk chemical composition much in the brief instant it is being splashed... I guess you could suppose that the effect is actually requiring a reaction of some sort involving some complicated dynamic chemical process. More likely the cube stores some of the 'toxin' in its body somehow, or a couple of simple precursors that form a 'binary toxin'. I'd be happy to rule that the save you got was at a bonus. The effect would also probably end fairly quickly, though for the purposes of the trap that probably doesn't matter MUCH. :) [/QUOTE]
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