Problem 3065. Cycling — Critical Power

Created by goc3

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","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\"?><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>From Training and Racing with a Power Meter by Allen and Coggan:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>\"A number of equations have been presented in the scientific literature describing human power output as a function of time, some derived from modeling based on the underlying physiology, and some simply derived empirically. One of the simplest and most robust, though, is the original \"critical power\" concept first proposed by H. Monod around 1960. Various formulations of this idea have been presented, but the original equation is a hyperbolic of the form: t = AWC / (P – CP), where t is time to exhaustion [in seconds], P is current power [in Watts], CP is work rate (i.e., power) asymptote, and AWC is degree of curvature of the relationship.\"</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>You will be given values for AWC and CP. Write a function to return the time that the cyclist can maintain for an array of power (P) values. The times should be rounded to the nearest second. If P &lt;= CP, the cyclist can theoretically maintain that power indefinitely (Inf).</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>"}]}

From Training and Racing with a Power Meter by Allen and Coggan:"A number of equations have been presented in the scientific literature describing human power output as a function of time, some derived from modeling based on the underlying physiology, and some simply derived empirically. One of the simplest and most robust, though, is the original "critical power" concept first proposed by H. Monod around 1960. Various formulations of this idea have been presented, but the original equation is a hyperbolic of the form: t = AWC / (P – CP), where t is time to exhaustion [in seconds], P is current power [in Watts], CP is work rate (i.e., power) asymptote, and AWC is degree of curvature of the relationship."You will be given values for AWC and CP. Write a function to return the time that the cyclist can maintain for an array of power (P) values. The times should be rounded to the nearest second. If P &lt;= CP, the cyclist can theoretically maintain that power indefinitely (Inf).

Solve

Solution Stats

59 Solutions
30 Solvers

Last Solution submitted on May 03, 2023

Last 200 Solutions

Problem Comments

Solution Comments

Show comments

Problem Recent Solvers30

Problem Tags

Community Treasure Hunt

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

Start Hunting!

Problem 3065. Cycling — Critical Power

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers30

Suggested Problems

More from this Author139

Problem Tags

Community Treasure Hunt

Problem 3065. Cycling — Critical Power

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers30

Suggested Problems

More from this Author139

Problem Tags

Community Treasure Hunt

Players