Calculations
Torque
Parameters
M = 600; % Car mass (kg)
r = 0.27; % Wheel radius (m)
Cr = 0.0055; % Rolling resistance coefficient - Winning Solar Car page 18
A = 0.24; % Frontal area (m^2)
Cd = 0.25; % Drag coefficient - from Ron's preliminary CFD findings
rho = 1.225; % Density of air (kg/m^3)
Plots
Plotting the motor toque with the above parameters at various speeds, accelerations and angles of incline results in the following:
Note: these plots assume 0 headwind and no wheel slipping.
Top Speed
In order to travel 120km/hr we need to spin at 1180rpm (1km/hr ≃ 10rpm)