Engines have an RPM range between 1000 and 8000
1 RPM = 120pi() rads/s
Engines have a transmission efficiency, usually around 0.7
Engines have a differential gear ratio of 3.5
Engines have multiple gear ratios 3, 2, 1.4, 1, 0.75, 0.5 ( or so ) - some engines (pedals) may have other ratios <- may simplify this into a single gear ratio
Transmission power is ( engine power - alternator power ) transmission efficiency
Wheel force is transmission power differential gear ratio / ( wheel radius rps )
Net Gear ratio is differential current gear ratio
Speed is rps wheel radius / (differential gear ratio )
Force Rolling drag is some -constant speed
Force Air drag is -bunch of constants speed^2
V = rps Rw / G
Fw = Pt G / ( R rps )
Fd = Cr V + Ca * V ^2
max V is Fw == Fd
I want rps and velocity
rps = G V / Rw
Fw = Pt G / ( Rw G V / Rw ) == Pt G / ( G V ) == Pt / V
Fw = Pt / V
Ca V^2 + Cr V - Fw = 0
Ca V^3 + Cr V^2 = Pt
estimate V, then fine tune
Engine RPM is 30 V G / Rw / pi()
For the test corvette, max V is about 78 m/s (174 mph) and can be achieved in 4th at 7.6 krpm, 5th at 5.7 krpm, 6th at 3.8 krpm.
Engines have an RPM range between 1000 and 8000 1 RPM = 120pi() rads/s Engines have a transmission efficiency, usually around 0.7 Engines have a differential gear ratio of 3.5 Engines have multiple gear ratios 3, 2, 1.4, 1, 0.75, 0.5 ( or so ) - some engines (pedals) may have other ratios <- may simplify this into a single gear ratio Transmission power is ( engine power - alternator power ) transmission efficiency Wheel force is transmission power differential gear ratio / ( wheel radius rps ) Net Gear ratio is differential current gear ratio Speed is rps wheel radius / (differential gear ratio ) Force Rolling drag is some -constant speed Force Air drag is -bunch of constants speed^2
V = rps Rw / G Fw = Pt G / ( R rps ) Fd = Cr V + Ca * V ^2 max V is Fw == Fd
I want rps and velocity
rps = G V / Rw Fw = Pt G / ( Rw G V / Rw ) == Pt G / ( G V ) == Pt / V Fw = Pt / V Ca V^2 + Cr V - Fw = 0 Ca V^3 + Cr V^2 = Pt estimate V, then fine tune Engine RPM is 30 V G / Rw / pi()
For the test corvette, max V is about 78 m/s (174 mph) and can be achieved in 4th at 7.6 krpm, 5th at 5.7 krpm, 6th at 3.8 krpm.