I purchased a bike with the money I made last summer at my dreadful waitstaff job. Anyways despite the working conditions, I now had a used bicycle with several neat gears and a chain. Now I believe that these gears have some relation to my cycles per unit-of-time which I believe is similar to a 'frequency' or cadence of turns on the main gear, perhaps similar to rotational velocity. A second gear operates the driver wheel which lends it similar amounts of speed if I could be so inclined to say so. I am terribly hesitant to draw conclusions, I know. Please forgive my tone but I digress. Anyways the real exciting part was the possible gear ratios, probably around twelve combinations, that all have a part to play in the torque and speed of the driver wheel which is coaxial with the driven gear. The translational speed of one gear is the same as the other however the rub is that the force and rotational speed of this combination depends on the gear ratio and radius. Essentially the driven gear receives from the input gear, the one I peddle, its speed and then a certain gear reduction arises from the quantity; gear ratio. A smaller gear operating on a large gear produces higher torque and lower angular speed while a larger gear operating on a smaller gear has lower torque and higher speed.