I tried using my
http://enginuitysystems.com/EVCalculator.htm for a 4000 lb (1818 KG) vehicle, and for 0 acceleration I get
504 Newtons (113 lb force) of thrust at 100 kM/h (62 MPH), and
356 Newtons (80 lb force - rolling resistance) at 0 MPH (after fixing my formula):
Code:
fForce = (fMass*fGrav*fRoll) + ((fAir*fDrag*fArea*(fSpeed/3.6)^2)/2) + (fMass*fAccel);
fPower = fForce*fSpeed/3.6;
The power required seems to be about right, with
5.46 kW at 31 MPH and
18.8 kW at 62 MPH, so it is somewhat a square law function related to speed.
But the most force will be from the acceleration (or incline), which is
4901 Newtons (1100 lb force) for a 25% grade or 2.5 m/sec/sec acceleration.
I think I see the error in my formula - a misplaced parenthesis - since the sum of all the speed terms should be squared.
Bottom line, however, seems to be in favor of keeping the transmission and 4WD and using a smaller motor.
[edit] I found some references for estimations of power and force for vehicles:
http://craig.backfire.ca/pages/autos/drag
http://www.engr.colostate.edu/~allan/fluids/page8/page8.html
The second document shows the following formula:
F = Cr*m*g + 0.5*p*Cd*A*V^2
Where g = gravity constant (9.8), Cr = Coefficient of rolling resistance (0.015 typ), p = Density of air (1.2), and Cd = Coefficient of drag (0.3 typ)
My formula appears to be correct, but perhaps there is a problem with operator precedence in JavaScript.
[edit2]
The problem was that JavaScript does not use ^2 for square. I corrected the calculator and the correct (AFAIK) values are as above.