You've described the process and challenges nicely, Steve. It's been a while since I last harvested motor performance from flight computer data, but it can be done with, I expect, reasonable "engineering" accuracy. Timely discussion, as I plan to do this soon with my latest batch of flight test data. I recommend using the barometric, rather than accelerometer data, integrations (and all the other calcs) can be done relatively easily using a spreadsheet software. Adrian seems to have greater faith in the barometric data compared to accelerometer ( I fly the Raven3). Propellant mass as a function of time can be extracted from SRM.xls. With regard to drag coefficient (Cd), I use AeroLab to obtain this. AeroLab gives Cd as a function of mach number, which can be handy for higher velocity flights. Richard On Sun, Feb 15, 2015 at 6:11 PM, Steve Peterson <steve_peterson@xxxxxxxxxxxxx> wrote: > Michael, > > The basics: if you have position (altitude) with respect to time, then the > change in position over time is the velocity. The change in velocity with > respect to time is acceleration. If you have the mass (at the same moment in > time that you've calculated the acceleration for, then rearrange Mr. > Newton's formula (F=ma) to get the net force. Any decent altimeter will give > you altitude (to some precision/accuracy) vs. elapsed time (to some > precision/accuracy). After that is when the gremlins get you.... > > Altitude: change in altitude may not represent a true change in position > (that is, distance) because the rocket may be headed off at an angle. You > will have to either assume a certain angle of flight and calculate the true > distance, or assume that it flew vertically (in which case the change in > altitude is the change in distance). > > Mass: it isn't constant, so you'll have to calculate it based on the grain > geometry and your static tests, etc. I don't know if any of Richard's > spreadsheets list mass burned vs. time, but if they do, that would give you > a good start, assuming your manufacturing is under tight enough control. > > OK, so you've calculated F--but hang on, because that's *net* F. That is, > thrust minus the force of gravity and minus the force of drag. The force due > to gravity is just g*mass and we've already dealt with mass. > However, the force due to drag is more problematic. As you know, it consists > of the Cd of the rocket (which will vary with velocity), the angle of > attack, atmospheric conditions (launch pad altitude, altitude of the rocket > at any instant in time, temperature, barometric pressure at launch, etc.) > and, of course, the square of the velocity. > > Your question then becomes, will you know all that stuff with sufficient > accuracy to give you a meaningful result? And will your altitude be > accurate/precise enough to allow you to do all the math on it to get the > acceleration with any kind of accuracy/precision? > > From what I recall, the Featherweight altimeters are about the most > accurate/precise out there (although I would also check with the altus > metrum guys because I've read that their stuff is pretty darned good, too). > Both will record fast enough to get you data with short enough time > intervals. I know Adrian Adamson (Featherweight) has done a lot of study on > this--you might check the Featherweight forum and also over on TRF. > > I should also mention that the Featherweight altimeters (or at least the > Raven), and possibly the altus metrum products, will also provide > acceleration data so that you don't have to do the double differentiation to > calculate acceleration from altitude. I haven't looked into how > accurate/precise it is, however. But you still have to know the atmospheric > info and the aerodynamics of your rocket--and those two are usually the > killers. > > A lot of people have looked into doing this and, as I recall, very few have > managed to come up with anything that was very persuasive (and they were > using commercial motors), although I am certainly no expert on this stuff. > It's pretty easy (especially if you can program) to simulate a few data > points and do the calcs to see what you come up with. Munge the altitude > data a bit to simulate inaccuracies and see how much it throws off your > answer. Vary the Cd by .1, .2, .3 or so and see what happens. Etc etc. > You'll soon get a feel for just how hard this is. > > --Steve > > On 02/15/2015 10:17 AM, Michael Monteith (Redacted sender > michael_r_monteith@xxxxxxxxx for DMARC) wrote: >> >> I hope this isn't off topic as it has to do with verifying motor >> performance really. I was thinking on what I would need to verify rocket >> motor performance during a flight test. So I was thinking of what would be >> the requirements to gather the data in flight. There is so many altimeters >> and ranges of price. Some show they output thrust time. But not sure >> exactly if it's what I'm thinking it is or I'd be better off getting one >> cheaper and calculating it. >> http://data.rocketsetc.com/altimeter_data.html >> >> So to my question. What data is required and how fast? I see all the >> thrust curves for static testing but trying to figure out how you backtrack >> and figure from a flight test what the thrust curve is for comparison? This >> is what I want to arrive at, a thrust curve for flight test vs thrust curve >> on static testing. >> >> My initial guess is at least having time and altitude and having rocket >> mass etc. From there you can calculate acceleration etc and arrive at >> thrust. I don't want to think of the formula right now for this. It might >> be in my pile of books but those are boxed up in Missouri and won't see them >> for about a month now. But don't recall anything like that. >> >> I figured I might as well buy the right recording altimeter to begin >> with. I don't mind spending the money but only if I do it preferably once >> and right. Specifically the right data, accurate, and the right speed. I >> think the more time I spent on it the more confused I was with all the >> options on them all. At least until I know the bare minimum. I don't know >> if anyone has gone down this road or not. I saw Richard made mention on one >> of his pages that it was something for a future page. >> >> If we need to take it offline feel free to email me. >> >> Michael Monteith >> >> > >