# Muscle strength and weight 1

• Sep 28th 2010, 05:57 PM
lightbanders
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
• Sep 29th 2010, 02:52 AM
CaptainBlack
Quote:

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: \$\displaystyle m=kh^3\$

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

CB