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What the best sprocket ratio is, by this we mean the ratio between the front sprocket and rear sprocket for a racing BMX bike, is different for each BMX rider. Each bike motocross rider will have to figure out for themselves what works for them and what doesn't.
There are plenty of options as you can see in the tables below. The horizontal numbers from 34 to 44 are the number of teeth of the front sprocket and the vertical numbers from 13 to 21 indicate the teeth of the rear sprocket. In the table you can then see what distance (in centimeters is covered in 1 revolution of the pedals).
The greater the distance in per revolution the heavier the pedaling and vice versa. Light pedaling means shorter distance per revolution. Useful at the Start to pedal away quickly from standstill or to do a sprint halfway down the track. But when you get to a long straight, it is not useful to ride with a light gear because you will be overtaken by someone with a heavier gear. This means you have to choose the combination that gives you the best of both between sprinting (light pedaling) and maintaining pace/acceleration (heavy pedaling).
If you choose too light a ratio, you may go first at the start, but you won't keep up with the rest of the track because too many revolutions are required. If you choose too heavy a ratio, you might be able to keep up for long distances just fine, but at the start you will see your opponent cycling far ahead.
For more explanation and gear ratio tables read at Guidelines size BMX Bike (scroll down a bit)
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