Problem 1213. What gear ratio does the cyclist need?

Created by Peter Wittenberg

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","targetMode":"","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","targetMode":"","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n<w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>A cyclist (perhaps including our famed Codysolver the cyclist </w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://www.mathworks.com/matlabcentral/cody/players/1841757-the-cyclist\"><w:r><w:t>http://www.mathworks.com/matlabcentral/cody/players/1841757-the-cyclist</w:t></w:r></w:hyperlink><w:r><w:t>) 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.</w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

Solve

Solution Stats

127 Solutions
48 Solvers

Last Solution submitted on Aug 01, 2022

Last 200 Solutions

Problem Comments

2 Comments

2 Comments

Chris on 10 Sep 2021

Had to take the conversion factor out to exactly 7 decimal places to solve.

Oliver on 13 Jul 2022

fun problem!

Solution Comments

Solution 8616060

1 Comment

1 Comment

GeeTwo on 1 Jul 2022

Takes advantage of limited test suite - wheelDiam and tireHeight are always the same values.

Solution 8615940

1 Comment

1 Comment

GeeTwo on 1 Jul 2022

Erroneous solution - I multiplied by wheel size rather than divided!

Problem Recent Solvers48

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 1213. What gear ratio does the cyclist need?

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers48

Suggested Problems

More from this Author2

Problem Tags

Community Treasure Hunt

Problem 1213. What gear ratio does the cyclist need?

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers48

Suggested Problems

More from this Author2

Problem Tags

Community Treasure Hunt

Players