Q. 124 - Precalculus Enhanced with Graphing Utilities

Question

Investigate the way that speed bicycles work. In particular, explain the differences and similarities between 5-speed and 9-speed derailleurs. Be sure to include a discussion of linear

speed and angular speed.

Step-by-Step Solution

Answer

When the rider pushes on the pedals, the back wheel turns. This moves the bicycle forward. 

Step 1. Given Information

We need to find the way that speed bicycles work and explain the differences and similarities between 5-speed and 9-speed derailleurs. 

Step 2. The way bicycles work

To ride a bicycle, the rider sits on the seat and places the feet on the pedals. The pedals are connected by a chain to the back wheel. When the rider pushes on the pedals, the back wheel turns. This moves the bicycle forward. 

Step 3. Differences between 5-speed and 9-speed derailleurs.

 A bike with three chain rings and nine sprockets is 9-speed, even though it has 27 theoretical ratios. The higher the sprocket count, the more expensive, smoother shifting, and lighter weight the gears.