Discover MakerZone

MATLAB and Simulink resources for Arduino, LEGO, and Raspberry Pi

Learn more

Discover what MATLAB® can do for your career.

Opportunities for recent engineering grads.

Apply Today

Problem 1213. What gear ratio does the cyclist need?

Created by Peter Wittenberg

A cyclist (perhaps including our famed Codysolver the cyclist http://www.mathworks.com/matlabcentral/cody/players/1841757-the-cyclist) operates a bicycle most efficiently when turning the pedals at a specific rotational rate. it turns out that almost all real engines are most efficient in a limited range of rotation rates. You'll be given a minimum and a maximum cyclist pedaling rate in revolutions per minute (rpm). You get a wheel diameter in inches and the height of the compressed tire above the wheel in inches. You will be given a speed that the bicyclist wants to travel in miles per hour (mph). You need to compute the gear ratios required to allow the cyclist to travel at the pedaling rates from the input and provide it as a two element row vector.

Problem Group

Solution Statistics

17 correct solutions 5 incorrect solutions
Last solution submitted on Oct 03, 2014

Problem Comments