Formulae used in the calculations.
Max speed is found from :-
Vmax (m/s) = (P (W) / Cd.A) ^1/3
More usefully Vmax in MPH is :-
Vmax (mph) = 2.25 * (1000 * P (kW) / Cd.A)
^1/3.
Average Tractive Force (in Newtons) is obtained from :-
Ft (Nm) = (T (Nm) * G) / r
Where T is average torque in Nm, G is gear ratio and r is rear
wheel radius.
Power in Kw is found from the conversion :-
P (kw)=(P (bhp) * 736) / 1000
Torque in Nm is found from the conversion :-
T (Nm)=T (ft.lb) * 1.36
Engine revs in Rad/s is found from rpm :-
R (Rad/s) = 2 * Pi * R (rpm) / 60
Drag force is found from Cd.A and speed :-
Fd (N) = Cd.A * v (m/s)^2
Acceleration in m/s^2 :-
a = (Ft - Fd) / (Mb + Mr)
(where Mb = Mass of Bike and Mr = Mass of rider.)
Time spent in each gear (Tg) :-
Tg = (v (m/s) - u (m/s) ) / a
(where v = speed at exiting the gear in question and u = speed
at entry to the gear in question.)
Distance travelled in each gear :-
s = (u * Tg) + (0.5 * a * Tg^2)
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