I have been reading some of the threads discussing electric motors, batteries, and prop combinations. One of the resources that I did not see mentioned was eCalc.
http://www.ecalc.ch/motorcalc.htm?ecalc&lang=enWe, Dave Denison, and I find the program a useful starting place for electrics. We have used it, and similar calculators for several years in RC. It does not really allow for throttle adjustments, making it difficult to adjust for desired speed. We first use the standard 4S or 5S LiPoly pack and run the data. One of the ways to incrementally change the engine RPM is to approximate the voltage going to the motor by switching to NiMh cells and using 10 cells or 11 cells instead of the approximate 12 cells that would equate to a 4S with the lithium pack. Similar adjustments can be done for the five cell lithium packs. In general it will give a good approximation of full throttle pitch speed which approximates airplane speed. Some of the normally used electric motors are already in it. It is easy to put a custom motor in if you can find the parameters of the motor. Those parameters are easily seen as blanks to fill in.
I believe the pitch speed is calculated directly from the pitch mathematically. If the prop pitch is not actually that stated by the manufacturer than the calculations will be invalid. I have read on the forum that the 13 X 4.5 F 2 B prop is closer to a 5.5 effective pitch. The program seems to work fairly effectively with the 11 X 5.5 and standard 12 X 6 props. It seems to be correct for both rotations. When we have used the 12 X 6 F 2 B prop the pitch seems to be close to 6.7 effectively. Fortunately the calculator will allow for odd pitch sizes.
Battery amperage seems to run a bit high as done by eCalc versus what we see in flight, but it does not adjust for “throttle” or RPM settings as noted.
We have tried using a radar gun and calculating airplane speed using known parameters of radius and lap time. Once speed is known one can calculate the prop pitch necessary to generate that forward speed at a known RPM. The pitch speed and airplane speed seem to work out fairly closely disregarding factors such as drag.
An airplane on 60’ lines has a radius at the fuselage of about 64’ including arm length and with a 5.2 second lap is flying about 52.7 mph. The same plane on 65’ lines has a radius of about 69’ and is flying about 56.8 mph. Both examples are a direct correlation of mph at the fixed lap time. The 64’ circle is 92% of the 67’ circle and 52.7 mph is 92.7% of 56.8 mph. That knowledge helps when you look at prop speed to see where you are within eCalc. You need to fly about 53 – 58 mph prop speed depending on line length and you need to have enough RPMs left as “headroom” to allow for gain. If you can reach the needed/desired prop speed on a couple of NiMH cells less than the LiPoly equivalent and fit in the amperage/wattage parameters, then you have a good chance of the system working well for you.
A couple of other useful approximations are noted.
A 6” pitch prop will turn 0.5’/rev and at 9680 rev/min will travel 9680rpm x 0.5’/rev divide by 60 sec/min = 80.6’/sec or 55mph. If the pitch is effectively 6.7” (11% higher) about the F2B 12 x 6, the RPM can be about 11% lower for the same speed, or 8615. This is about the RPM we see with the 12 x 6 F2B.
Using about 5 – 5.2 seconds as lap time the change of about 150 rpm in the 8500 range and 200 rpm in the 9600 – 10,000 rpm range will change the lap time about 0.1 seconds.
ECalc and the approximations seems most useful when used in light of flyer's experience. The Thread on "List your Set Up" is a great value used along with the calculator.
I hope this is useful and helpful to others.