Inches per What?

 

Copyright ©1997 by Paul Niquette. All rights reserved.


 
What is your explanation?

Speeds are traditionally measured as a unit of length per unit of time...

  • miles per hour or kilometers per hour
  • feet per second or meters per second
  • furlongs per fortnight (naah).
That can get you into trouble sometimes (see Bucketing Bandwidth and Train Speed). Better sometimes to put time in the numerator.
    As for "100 inches," the question is, "100 inches per what?" At 100 inches per second, a bicycle would be traveling 8.33 feet per second or only 5.68 miles per hour, which is quite slow -- and curiously not variable, as if the bicycle were built for that one solitary speed.
There must be a better explanation.


Excerpt from the Internet Version of
A Certain Bicyclist: An Off-Beat Guide to the Post-Petroleum Age
by Paul Niquette
Copyright ©1987 by Resource Books, Inc.All rights reserved.
The bicycle, as it first appeared in the beginning of the 19th century, had no pedals. How slow and awkward this "draught" vehicle must have been, drawn along by action of the rider's feet against the roadway. More than fifty years went by before pedals were invented, after which the bicycle became what it is today, a "locomotive."
    Pedals lifted the rider's feet from the ground, and speed increased somewhat. Pedaling rate set the limit in those early days. It still does. You can only crank those pedals so fast.
Early designers found that for a given pedaling rate, higher speeds could be achieved by making the drive wheel larger. Thus, the high wheel bicycle was invented. Better known as the "ordinary" in the 1880s, the bicycle grew in size and picked up more speed -- the limit this time determined by the length of the rider's legs. Ordinaries were often custom-made to fit the rider like a pair of shoes.

Wheel diameter became an important specification. It was traditionally given as the first name in identifying a particular bicycle: 52-inch Rudge, 56-inch Victor Roadster, and the largest ever built, the 64-inch Columbia Expert. The back wheel, meanwhile, shrank away to save weight.

64-Inch
                  Columbia

    The machine was fast and majestic. It was also dangerous and unforgiving.
Along came the chain-and-sprocket drive. The pedal crank was taken off the front fork and given an axle of its own in the middle of the bicycle frame. Propulsion came from the rear wheel by means of the chain. It was 1890, and the "safety" was born.

A few early safeties were actually built with a large wheel in the rear. Soon somebody noticed that the sprocket on the pedal crank and the sprocket on the drive wheel did not have to be the same size. For example, the bicycle designer might consider putting a large sprocket on the pedal crank and a small one on the rear wheel.

    There was an advantage in doing so: to be fast, the bicycle didn't need a big drive wheel anymore. The speed of the safety depended more on relative sprocket sizes than on the diameter of the drive wheel.
The rear wheel then shrank back down to about the size that we see on today's "safety." Our question is still pending: What about those "100 inches?" We're coming to that.

Some unit was needed to specify the "speed" of the safety. It wasn't so obvious anymore. One could not tell much from wheel size. Measuring sprockets was unhandy and not meaningful -- particularly to long-time riders of the traditional, high-wheeled machines.

    What could be better, somebody must have thought, than expressing the safety's speed in "ordinary" terms?
That's what the "100 inches" means -- the equivalent wheel size of an ordinary bicycle.

You might like to figure this out for your own bicycle. First, count the number of teeth on your front sprocket. Let's suppose you get 36. Divide that by the number of teeth on your rear sprocket, 12, say. Now multiply by the diameter of your rear wheel, which is usually 27 inches. The result, 81 in this example, is in inches.

    It represents the wheel size of a nineteenth-century ordinary, equivalent in speed to your bicycle.
The ten-speed safety offers the rider a dynamic selection of sprocket combinations, representing various ordinary wheel sizes, which range from under 20 inches to over 100 inches -- larger and faster than the highest ordinary ever built.


For an update on bicycle speeds, see Dérailleur de Rigueur
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