Take a look at the picture below. If each of these circles has to roll 360 degrees on the ground, the larger one will go farther. That means that if you put a belt on both of them and spin them the same rpm, the larger one will make your belt travel faster.
your thinking of a bicycle, or chain driven vehicle where if you make the gear is bigger on the wheel then pedaling will turn the wheel slower. Thats because the pedal crank gear stays the same size. If you enlarge the crank gear instead, you will go faster.
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