The Elements of Physics

Cover The Elements of Physics
The Elements of Physics
Silas Ellsworth Coleman
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Since the chain in turning passes by the same number of sprockets on both wheels, the smaller one turns as many times faster than the larger as the number of sprockets on the smaller is contained in the number on the larger. If this ratio is three, for example, the smaller sprocket wheel makes three complete turns while the larger makes one. But the larger wheel turns at the same rate as the cranks, and the smaller at the same rate as the rear wheel of the machine. Hence, in the case supposed, ...the rear wheel makes three revolutions while the cranks make one. Thus the bicycle travels as far during one revolution of the cranks as it would if they were attached directly (as in the old style "ordinary") to a wheel having a diameter three times as great. The diameter of this equivalent wheel, measured in inches, is called the gear of the bicycle. Thus, if the ratio of the sprockets is three, the gear is 3 x 28, or 84, the diameter of the wheels of a " safety " being 28 in. With this gear and cranks having a radius of 7 in.

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