Gravity Vehicle C
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Re: Gravity Vehicle C
True that a lower start height means slower time, but it's really important to look at/understand the math in the scoring. What it tells you is...dramatic.
Bottom line -180cm is WAY more than you want
Height score is 400 x h/300-h. Time score is 25 pts/sec.
So, for a 180cm h, height score is 600 points.
Go to a 1m (100cm) h, and points go to 200. That's a 400 point difference. 25 goes into 400 16 times. That means it could take 16 seconds longer and you'd still end up with the same height + time score. That's a LOT of time.......
Go to 50cm height, H score goes to 80 points. That's a 520 point difference; almost 21 seconds to get equal h + t score.
The rate at which time score increases w/ h reduction is much lower. Velocity off the ramp is a function of the square root of the difference in h. At 1/2 the height, v(initial) will be about 70% (1/1.414 (sqrt of 2)). Time difference will depend on the.....friction appetite of the vehicle; the rate at which friction losses eat into momentum.
The initial #s above really tell the story most clearly, though- how much slower you can go at a given h reduction and end up with the same h + t score. You obviously need enough h for the vehicle to be able to go 10m. You don't need or want very much more than that. So, optimizing h is pretty simple. Get to the h that gets you 10m. Check out a little more (h score + t score). The way the scoring works REALLY favors a low friction setup- big-time - the ability to go 10m with as little h as possible.
Bottom line -180cm is WAY more than you want
Height score is 400 x h/300-h. Time score is 25 pts/sec.
So, for a 180cm h, height score is 600 points.
Go to a 1m (100cm) h, and points go to 200. That's a 400 point difference. 25 goes into 400 16 times. That means it could take 16 seconds longer and you'd still end up with the same height + time score. That's a LOT of time.......
Go to 50cm height, H score goes to 80 points. That's a 520 point difference; almost 21 seconds to get equal h + t score.
The rate at which time score increases w/ h reduction is much lower. Velocity off the ramp is a function of the square root of the difference in h. At 1/2 the height, v(initial) will be about 70% (1/1.414 (sqrt of 2)). Time difference will depend on the.....friction appetite of the vehicle; the rate at which friction losses eat into momentum.
The initial #s above really tell the story most clearly, though- how much slower you can go at a given h reduction and end up with the same h + t score. You obviously need enough h for the vehicle to be able to go 10m. You don't need or want very much more than that. So, optimizing h is pretty simple. Get to the h that gets you 10m. Check out a little more (h score + t score). The way the scoring works REALLY favors a low friction setup- big-time - the ability to go 10m with as little h as possible.
Len Joeris
Fort Collins, CO
Fort Collins, CO
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Re: Gravity Vehicle C
Here is an example of what Balsa Man is talking about. This is a run from our most recent invitational. The vehicle can make the 9.5 meter distance in well less than 4 seconds but it scores better if we run it from a lower height. In this case the time was 4.61 but the difference in the height produced a better score. This one was was 1st place and our other run was within a few hundreds of a second and 3 mm difference in the target distance. It is a very consistent device and has had lots of attention to details and calibration time. Next stop Regional's. Good luck everyone.
http://www.youtube.com/watch?v=XMkT5exT ... e=youtu.be
http://www.youtube.com/watch?v=XMkT5exT ... e=youtu.be
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Re: Gravity Vehicle C
Banebot? Then surely they were bushing mounted, right? Your car seems fast but I would've assumed that you wouldn't have gotten that kind of speed with bushings. Live and learn.
And what was your launch height? Looks to be in the .6m range.
And what was your launch height? Looks to be in the .6m range.
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Re: Gravity Vehicle C
Does anybody know if there is a rule about how many events in which you must take part in so that you can compete? I just got word that THREE students will be unable to attend due to a Math Team conflict. These three were the sole memebers of our Circuit lab and Robot Arm events. One of the other coaches thought there was a rule where you couldn't participate if you didn't field a team in a certain percentage of the events. The time is too short to build a team in the Robot Arm event and I dont want our other teams, who have been working tirelessly, to be punished because of it.
Last edited by joeyjoejoe on February 11th, 2013, 4:16 am, edited 2 times in total.
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Re: Gravity Vehicle C
Hey Joey. There really isn't a minimum. My school's D team had ~10 people at our invitational, so I'd imagine any number is fine. You just get (participation+1 or 2) points if you don't participate.
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Re: Gravity Vehicle C
OK in response to a team member request we put up a clip of a calibration run shot with a micro DVR camera. Not much scientific value but here is a link, http://www.youtube.com/watch?v=Tj9SK0oP ... e=youtu.be
Target is on the blue tape
Target is on the blue tape
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