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Fueling Scoring Challenge
Last night during vigorous discussion of game play strategy at HBR we discovered what we believe to be a serious challenge with this year's game as related to typical FIRST strategy for repeatable goal alignment.
Because of the processing rate of the boiler (5 fuel per second) the maximum achievable pressure with teleop fuel scoring is 225 points of 675 fuel. In order to create a viable "cycle" this dictates that you have to exceed 5 fuel per second entering the boiler to maximize your scoring ability for fuel. At this point we believe something in the neighborhood of 15 fuel per second is needed to create an adequate processing time buffer to allow for transit, collection, and scoring of additional fuel. The logical jump when considering this is to use the key immediately in front of the boiler as an alignment tool to create a repeatable scoring situation. The problem with this strategy is what I'll outline below. As the distance traveled across the ground by the projectile decreases and apex height increases the ratio of vertical and horizontal velocity components becomes larger. Eventually this means that as projectiles reach apex and the vertical component of velocity is exhausted the total velocity of the projectile becomes quite small. As you consider a string of projectiles in this situation, convergence can be observed as projectiles move towards the apex. When projectiles actually converge in flight this creates very erratic behavior and has the potential to cause a significant number of missed shots. The mathematical model required to describe and evaluate this situation is not clear to us at this point and we're looking for some help. Maybe someone here has an idea? |
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Worth noting that if you miss, the balls roll back down on top of your robot if you were to be sitting with your bumper up against the boiler. So if you had a hopper with an open top, you could reload on your missed shots.
Because of that, I would say accuracy takes a back seat to speed/balls per second on this one. Up to you to decide what percentage of missed balls is acceptable. |
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If you're looking to launch 15 fuel per second, and keep the balls at least an inch apart from each other, the speed at the top of the arc must be at least 7.5 ft/s, if your shooting interval is quite regular. (That is, keep a 6 inch separation between ball centers.) If it's more of a random timing, you would need to go significantly faster. Perhaps if you had two launchers running in parallel...:yikes:
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Potential issue with this is that you're hogging the entire boiler if you're sitting right in front of it like this, but that might be OK if you're the ball specialist and you're teamed up with two gear specialists looking to get that RP. Or if other high-goal shooters are able to aim at the boiler from a distance so you're not in each other's way.
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GeeTwo's math makes sense. 15 balls x 6" center-to-center = 90"/s = 7.5 ft/s. And that's horizontal movement at the top of the arc. Let's try some back of the envelope experimenting with logic and a trajectory calculator:
I think good high rate of fire teams will have a 2-3 wide shooter at the back of the robot, optimized for shooting diagonally into the goal. EDIT: Also thinking about a single stream shooter, this means you're shoving balls through your feed system at 6.25 ft/s to acheive 15 balls/s. Which sounds pretty insane, honestly. 10 balls/sec with 3 streams makes for 1.4 ft/s, which seems somewhat more reasonable. |
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But regardless of how effective your shooter is, the problem remains that if you sit at the base of the boiler you're occupying that space. One of the (many) reasons our team decided to specialize in gears is the realization that a low-goal dumper or a basic high-goal shooter is likely going to want to sit right next to the boiler, which means there will be congestion and/or a line-up to get in there. |
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a> they get a possible faster firing rate b> they don't block dumpers |
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average of 4balls/s processed means the final 30s of the match can only process 120 balls. Anything in the boiler after that risks not being scored right?
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Calculate how long it'll take to go across the field, lineup on the loading station, retrieve the gear, run back across the field, line up on the lift and deposit that gear ... all while avoiding defense, spilled fuel and dropped gears. it's going to be an interesting year ;) |
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I've heard estimates of anywhere from 8 to 15 balls/s for a full boiler, but I don't have a source for those numbers. |
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Plus, scored fuel is replenished to the field. |
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If you look at the picture of the boiler innards, it looks like a spinning disc with holes for fuel. If you fill the boiler such that a ball always drops into every available hole as the disc spins, then you get 5 fuel/sec. If you're filling the boiler such that balls don't drop into every hole, e.g. some get skipped over, then your effective rate drops.
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Has this been Q&A'd? I've also been reading the nanual as "5 or higher" (probably due to other HQ and non-HQ sources talking about numbers like 8+). But it's true the manual as written could well mean "5 or less", and that also makes mechanical sense. This could be huge for some teams. Regardless, if that number is controlled, e.g. the disc always spins at 5 fuel holes per second, teams deserve to know. Or if it spins at 10 and more balls means less "wandering" but fewer means missed holes (so they think it'll average 5), we ought to know that too. This is the problem with having a black boxed field element.
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Technically if we go with the strict definition of "average" of 5, that would mean the boiler can definitely process fuel faster that 5/s unless it never fails to be less than 5/s which is not true based on the manual.
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Instead of focusing on the spin rate of the indexing disk, look at the conveyer system that takes processed fuel from the LE goal and moves it to the recycling tote. The fuel will plop out of the conveyer and land near the center of the recycling tote. Analyze that arc. I'd be surprised if the speed of the conveyer could process faster than about 5BPS without launching them well over the recycling tote.
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In the various pics of the boiler that are floating around from kickoff, you can see that the impeller holds 14 balls around its circumference. From other pics on the official FRC Facebook page, you can see that the impeller is driven by what appears to be a miniCIM with a 2-stage VersaPlanetary gearbox. I don't see an encoder anywhere (though there could be one somewhere that's not pictured), so you can probably assume that these things are controlled only by a constant voltage DC source.
A miniCIM has a free speed of 5840 rpm at 12V. We don't know what reduction is being used, but the largest single stage that Vex sells is 10:1, so the gearbox is 100:1 or less. Obviously it could be a different reduction, the motor could be run at less than its free speed, and the impeller won't be packed fully during each revolution (and FIRST could still be iterating on the details), so YMMV, but if you assume 12V and 100:1 you get a theoretical max of about 13bps. This is just a piece of trivia at this point though given all the unknowns. |
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Ok, so help me here, I'm math impaired.
15 balls per second = 900 balls per min. In a match that is over 2000 balls out of ~600 available at any one time. Into a single goal. :yikes: I consider 15 a second to be crazy talk, but I've been here a long time, so I can be convinced. So I'll offer up the STEMRobotics "Why yes we can shoot that" challenge grant. Show me that you can shoot 12 balls a second for eight seconds (96 balls in total) and STEMRobotics will send your team $100. I'd like most to go into the goal, but really to do 12 a second will be great. 1) Line your robot up 2) Load 100 balls in, human help is fine 3) Shoot 96 of them in 8 seconds to the upper boiler goal 4) Profit! Send me links with "Why yes we can shoot that" as the title. |
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Not that we plan to try but for clarification for others. Are you limiting this offer to single shooters or will you accept parallel and/or multi-shooter batteries?
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Not to give anyone the nightmares I have, but upon finding out personally that folks at HQ were struggling with this field element, my initial read of "average" was an attempt to handle "slop" in the number as they improved the device--or worse slop between boliers. But I do think it's more likely there's just a max disc speed at full capacity we ought to know. Foster, I think STEMRobotics is going to need to keep an eye on these guys. Can you pay in Euros? Quote:
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I have concerns for Auto. If each boiler can average 5bps, If red and blue both shoot the same amount of balls in auto at the same time (everything equal except the boilers) if red boiler processes 4bps and blue (by lucky ball bounces in the boiler innards) hits 6, these boilers could be the ones determining the winners since balls still processing after auto ends are only worth 1/3 as much. Unlike can grabbing where everyone could see, boiler insides and counting is hidden from spectators. That could be frustrating seeing both teams put up the same amount of shots and seeing a 30 point difference
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It's a fair point though. A 1 bps difference between boilers over the course of a 150 second match means 150 balls could fail to be accounted for.
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It's a single robot. 3 robots at 4 per second is something my VEX teams can do. ;) Be better. It's a US check in USD, your bank can do the exchange. I'll mail it to you. Would love to pay you in TIM$, there is not Tim Hortan's here. Which is a good thing because then I'd weigh 283kg. (Yes, did the conversion, that's how much I love Tims) Quote:
(Side note: Since you said multi-shooters my brain is going "24 at a time? really?" So the deal is 96 in 8 seconds for the $100. Do it in far less time, your check *may* be bigger, my discretion ) Foster Nack predicts that I'll write one check. But Foster Nack predicts that STEMRobotics will be happy to write 3675 checks. |
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