bike wheel ?

so i was waking up and thinking about merry-go rounds
4 kids who "pump" it can make it go faster than one adult standing on the outside and spinning the edges... its easy! you just go out... the all pull in... pulling in is pretty hard cause...it is
anyhow the thought crossed my mind "what if you did that with a bike wheel?" if you could pull all the weight on the outside of a tire to the center thn let it go out... pull in... ect,
how fast could you make the bike go? whats the top speed for the equation?
for that matter... how the heck do you DO such an equation...

Iout = Itorso + ½(2marm)r²arm + ½mleg = 3.6 kg m² ?
apparently the equation can be found in terms of a figure skater doing a spin

Angular Momentum Conservation
Angular momentum characterizes an object's resistance to change in rotation. The basic idea is the same as with linear momentum: moving things like to keep moving, and to change their motion we have to apply a force. If no force is present, then momentum doesn't change, ie. it is conserved. In the case of rotation, the force is called torque: when, for example, you pull the string on a top, you are applying a torque to make it speed up. Its angular momentum increases. It slows down after being released due to frictional torque. A spinning figure skater has a nearly frictionless contact with the ice, and there is little net torque on her body. Her angular momentum is nearly conserved.

Rotational Inertia
For straight-line motion, inertia is mass. For rotational motion, it's a bit more involved. It's harder to make a given mass rotate around an axis that it's far from than one that it's close to. The rotational inertia, or moment of inertia, I, of a single mass m rotating a distance r around an axis (like a planet around the Sun or a rock on a string) is given by

I = mr²
Note that rotational inertia increases as the square of the distance from the axis: if you double the distance of a mass from the axis of rotation, you quadruple the rotational inertia. This is why such a minor change such as a skater's leg position has such a huge effect on her rotational speed.

Rotational Speed
The other parameter of rotational motion is rotational speed, or angular velocity, . This is the rate of rotation, expressed in radians/sec, revolutions/minute (RPM) and other units. A complete rotation is 2 radians, so one revolution per second is an angular velocity of 2 rad/s.

Angular Momentum
Armed with rotational inertia and angular velocity, we can write the expression for angular momentum, L:

L = I
So, if angular momentum is conserved, and one factor like I changes, the other factor ( in this case) must change to compensate.



GAH!! ok so i don't understand the math behind this at all, still, designing a small push pull action for a weight on a sproket shouldn't be too hard right?