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Math Help - Muscle strength and weight 1

  1. #1
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    Muscle strength and weight 1

    So here is the problem I have no idea on how to solve it, so if you know, please put the answer and how you did it to guid me .

    Bigger people are generally stronger than smaller people, though there's a lot of individual variation. Let's find a theoretical model. Body weight increases as the cube height. The strength of a muscle increases with its cross-sectional area, which we expect to go up as the square of height. Put these together: What power law should describe how muscle strength increases with weight?

    Thanks
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by lightbanders View Post
    So here is the problem I have no idea on how to solve it, so if you know, please put the answer and how you did it to guid me .

    Bigger people are generally stronger than smaller people, though there's a lot of individual variation. Let's find a theoretical model. Body weight increases as the cube height. The strength of a muscle increases with its cross-sectional area, which we expect to go up as the square of height. Put these together: What power law should describe how muscle strength increases with weight?

    Thanks
    body mass: m=kh^3

    Muscle strength: s=ch^2=c(m/k)^{2/3} ...

    CB
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