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#27505
A common and easy example
simple example is an e300 overvolted to 36v with stock gearing, 11-55 ratio
motor rpm is 2600 at 24v So 36/24=1.5 times 2600=3900rpm motor rpm
the Gearing is 5to 1 (5rpm at motor is 1 rpm at tire so 1/5th of 3900=780rpm(more math for complex gearing )
the tire is 10 inch so circumference is 10times Pi 3.14 =31.4 inches per rpm
31.4inches times 780 rpm =24492 inches per minute, divide by 12=2041fpm feet per minute
Divide 2041fpm into miles so (2041fpm /5280=.387miles per minute *
now converting to MPH=.387 times 60 minutes =23.19mph.. As per real world results this is darn close to the 22.5mph commonly expected from an overvolted e300 with stock gears.
#27507
NOW A MORE COMPLEX EXAMPLE
A mx500 with rebel gear 100 tooth rear , a 14 tooth motor sprocket, a 12v industrial rated for 1800rpm run at 36v
Facts needed
14 inch rear tire
14-100 gear ratio
1800rpm motor run at 36v
So 14 times 3.14-=43.96 circumference
36/12=3 times 1800rpm =5400rpm
14-100 ratio=7-50ratio 50/7=7.14-1 ratio
5400rpm/7.14=756.3 rpm is the wheels speed.
756.3 rpm times 43.96 circumference =33247.06inches per minute
33247.06 inches per minute into feet per minute 33247.06/12=2770.59 feet per minute
2770.59fpm /5280=.52mpm or miles per minute (5280 feet in 1 mile)
now miles per minute means nothing so we multiply for hours .52mpm times 60=31.48mph !
vERY SIMPLE AND EASY
8mm (T8F) rear wheel sprocket

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