The difference in speed depends on the relative sizes of the wheels. If the smaller wheel is three times smaller, it rotates three times faster. This happens because the smaller wheel must rotate three times to cover the same linear distance as the big wheel does in only one rotation.
The relationship between the speeds of the two wheels is inversely proportional to their sizes.
N2 : N1 = D1 : D2
This relationship is called the ratio of transmission, where N is the speed of rotation and D is the diameter of the wheel.
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