I love the new wheels...they look awesome! :2guns:
The theory of big wheels/faster speeds is very interesting.
The Traveller moves forward at the same rate as the velocity (v) at the bottom point of the wheel. This depends on the rotational speed (w) of the wheel AND its radius (r), given by the equation:
v = wr
So, it would seem, increasing the radius r would make the Traveller go faster, right?
Not so fast. The rotational acceleration (aw) a depends on two things: the torque (T) and the rotational inertia (I). This relationship is
aw = T/I
This is similar to simple acceleration.
a = F/m
where 'a' is the acceleration, 'F' is the force, and 'm' is the mass (another name for inertia).
You may be saying "Good, I can maximize the angular acceleration with my excess torque!" But you run into a MAJOR problem -- the angular inertia. For a wheel, it equals
I = m r**2 / 2
Note that it depends on mass and the SQUARE of the radius. If you double the radius, you quadruple I. And here's another problem -- the mass the wheel. It ALSO increases as the square of the radius. So if you double the radius, you increase I by a factor of 16! It gets harder for the engine to accelerate the wheel.
Now it gets complicated.:hammer::hammer: You have two torques. One is supplied from the motor, the other is the friction from the gears AND the road. Friction is a complicated function of velocity, USUALLY it depends on the square of how fast things are going. Thus, the maximum w you can reach will depend on (1) the engine's torque, (2) the gear friction, (3) the friction between the wheel and the road (if there is none, the wheel will spin MUCH more rapidly -- but you won't get anywhere!) and (4) the rotational inertia. (3) depends on the frictional coefficient of the surface the wheel is on, which I couldn't measure even if I were there. It all really DOES add up, but not in a simple way.
Yeah....it might go faster!....:lol: