I have tried myself on this to figure out the highest real speed I could get with 4kW motor.
P(Motor)=((A/2 x CW x D x v³)+(Cr x m x g x v)) x 1,11
P(Motor) = 4kW = 4000W = 4000
A = Stirnfläche des Objekts = face of the object = around 0,6m²
CW = Luftwiederstandswert = Air resistance = around 0,7
D = Dichte der Luft = Density of air = at 400 meters over the sea at 25 degree Celcius = 1,196 kg/m³
V = Geschwindigkeit = Speed = That´s what we want to calculate
CR = Rollwiederstandwert = Roll resistance = (downhill wheel with bad conditions) = 41 Watts
m = Masse = Weight of Rider and Bike together = (65kg + 44 kg bike) = around 110 kg.
g = Erdanziehung = gravity = 9,81
Verlustfaktor = Dissipation Factor = 1,11 at efficiency 89%.
RED COLORE = not real, surce on example motorcycle, google search motorcycle.
BlUE COLORE = personal value or just real data.
GREEN COLORE = differnt, not consistently data.
-When calculating it with your datas, you have to change the green marked data, and parts of the blue marked data.
4kW = ((0,6/2 x 0,7 x 1,196 x v³)+(41 x 110 x 9,81 x v)) x 1,11
4kW = (0,25116v³)+(44243,1v)) x 1,11
4kW = (0,25116v x 0,25116v x 0,25116v + 44243,1v) x 1,11
4kW = 4510,015938Vv x 1,11___________I /4510,015938
4000 / 4510,015938 = v x 1.11
0,8869148268 = v x 1,11_______________I / 1,11
0,7990223656 = v
=> 79,9 KM/H
Im just not shure if this means 79,9 km/h.
Tell me if you have something to add.
