Does height matter in sports?

Hi Physics girl!  I love your channel!   But I think you got a few things wrong with your "Why does Height Matter in Sports".  

One thing is that muscle mass is proportional to muscle force.  (ie, the cube of your height) You said that smaller people can change direction more quickly their muscluar force scales with the square of their height, while their mass scales with the cube - which is false.

What is actually happening is more complicated.  While mass and muscle force both scale with the cube of height, what DOESN'T scale is the angular momentum of motions.  To change the direction a limb is moving, you need to consider the angular momentum, because of course all our limbs are compound joints.  The angular momentum of a limb in motion is proportional to the fourth power of the mass of the limb, obviously.   That's why gymnasts are short, because they have to twist and spin.

Your discussion of swimmers was off because you confused these as well.  If muscles scaled with the square of height, which is also how cross sectional area scales, then swimmers would have no advantage for being tall.  It's because muscle force scales with the cube that tall swimmers have an advantage.  

Anyway, happy sciencing.