# Math Help - Muscle strength and weight 1

1. ## 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

2. Originally Posted by lightbanders
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