ejonesss said:
from the site http://www.cyclone-tw.com/dc24.htm the 650 watt motor is
Rated Torque 42Kg-cm
* Max Torque 63.3Kg-cm
that is double of the 360 watt motor so the 1200 watt is for estimating purposes double of the 650 making it around
90 rated and max 120 something
unfortunately the 1200 is not listed so i am basing it on the differences between the 360 and 650.
the 90 is just the bare motor
take 90 kg-cm times 9.55 with the gearbox and you get 859.5 times 3 for the sprocket ratio of the 14 tooth sprocket on the motor to the 44 tooth sprocket of the chainring (front sprocket) and you get 2578.5 then from the (i think) 28 or 30 tooth small sprocket of the of the 3 piece chainring to the lowest gear of the rear wheel is a 34 tooth witch makes a very close to 1:1 ratio witch makes for estimating purposes close to 3000 kg-cm.
using the site http://www.engineersedge.com/calculators/torque_conversion.htm
i convert the 3000 kg-cm to footpounds it works out to be about 217 footpounds.
at those torques it would destroy the hub.
i was told that the torque rating is just the motor according to the cyclone usa dealer .
if the tw dealer is right and it includes the gearbox then divide by 9.55 and it gets 314 kg-cm and 22 footpounds.
I think your calculation is off a bit, although your final conclusion may be the same.
Here are the numbers that I get:
Use the curve for the "500-watt" motor as this is the same motor used in the "1200-watt" kit. Torque is proportional to current, and we know that the external controller supplied with these motors limits current to about 55 Amps. (Note, the "1200-watt" kit is rated for higher power by being driven at 48 volts and does not affect the torque-current relationship of the motor.)
For the "500-watt" motor (larger of the two Headline motors used with the planetary gearbox), the torque is about 36 kgf-cm or 3.5 Nm for 40Amps. Scaling to 55Amps, we get 4.8 Nm at the motor output shaft. (I believe these curves are for the motor only because the graph uses RPM for the X-axis in a range that appears reasonable for the raw motor only.)
Running this figure through all of the gear conversions I get:
Output of planetary gearbox (9.33/1)*4.8 = 44.9 Nm
At crank (44/14)*44.9 = 141 Nm
At rear wheel using lowest gear (34/28)*141 = 171 Nm = 1744 kgf-cm = 126 lb-ft