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Simplified diagram of gear inches: As the rear sprocket is halved in size, the distance traveled by the rear wheel doubles, at half the torque. Gear inches is one way of measuring the gear ratio(s) of a bicycle, so that different gears and different bicycles can be compared in a consistent manner.
A freewheeling hub with a sprocket suitable for narrow chain can be combined with a double or triple crankset and front derailleur, in order to provide a wider range and closer gear ratio spacing. A chain tensioner or a rear derailleur is needed to take up chain slack, and care is needed not to over-torque the hub by using too small a chainring ...
16 tooth sprocket. Do = Sprocket diameter. Dp = Pitch diameter A sprocket and roller chain. A sprocket, [1] sprocket-wheel [2] or chainwheel is a profiled wheel with teeth that mesh with a chain, rack or other perforated or indented material. [3] [4] The name 'sprocket' applies generally to any wheel upon which radial projections engage a chain ...
the number of possible gear ratios is 24 (=3×8, this is the number usually quoted in advertisements); the number of usable gear ratios is 22; the number of distinct gear ratios is typically 16 to 18. The combination of 3 chainrings and an 8-sprocket cogset does not result in 24 usable gear ratios.
The velocity v of the chain or belt is the same when in contact with the two sprockets or pulleys: = =, where the input sprocket or pulley A meshes with the chain or belt along the pitch radius r A and the output sprocket or pulley B meshes with this chain or belt along the pitch radius r B,
The mechanical advantage would equal the ratio of chain link pairs required for each revolution to the net gain of chain link pairs. Put another way, the mechanical advantage would be the distance of pull required for each unit distance of gain. The mechanical advantage at the differential sprocket pair equals P 1 / P 1 − P 2 .