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Figuring Head Speed
As an example, we’ll use the stock Align T-Rex 450XL CDE mini electric helicopter. A recommended optimum head speed for sport flying with the stock wood blades is 2,400 RPM. The T-Rex main gear has 150 teeth; our motor, an Align 400S, has a 2,800 Kv rating and is 80% efficient at converting voltage to work. We’re going to power the system with an 11.1V (average; actual voltage will range during flight from 12.6V to under 10V) 3-cell LiPo battery pack. This translates into the following formula:
(Target Head Speed x Main Gear Teeth) / (Motor Kv x Voltage x Percent Motor Efficiency) = Pinion Gear Teeth
With our information plugged into the formula (and rounding down) we get:
(2400 x 150) / (2800 x 11.1 x 0.80) = 14-tooh pinion
If you power the motor with a higher voltage battery, this will lower the required pinion size and effectively spins the motor at a higher RPM. These high voltage systems offer more power while reducing the current draw.
You can also change this formula around to determine what specifications will give you the head speed you want to obtain. For example:
(Motor Kv x Voltage x Percent Motor Efficiency x Pinion Gear Teeth) / Main Gear Teeth = Target Head Speed
This formula is not a rule; it is just a means to get you in the ballpark. Another thing to keep in mind is that the Kv value alone does not give any indication of efficiency, current draw, or performance. Unfortunately, there is no standardized way in which electric motor manufacturers advertise their motors’ specs. There are some more in-depth calculators available online that can help you experiment with different variables such a PCalc and MotorCalc. As with all helis, flight testing and trimming will ultimately rule out whether one pinion gives you the kind of performance you want over another, but this formula will help get you close.
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