On another thread where Bad Wiggins mentioned that I probably can't reach my goal of running sub 6:00 for a mile without losing some weight. I tend to agree with that statement, so after my run today, I did a little math in my head while I was stretching to see what kind of weight loss I'd need. Check my work please.
I weight about 84 kg
According to my most recent run. Garmin says I have a vertical oscillation of 9 cm and stride length of 1.01m
On said run, I went 3.5 miles.
I originally did this in my head, rounding all over the place, so it might not make a ton of sense once I write it out.
1609 x 3.5 = 5,631 steps in my run
5,631 steps x 9 cm = 50,683 cm vertical rise for the run. (or 50.6m)
50.6m x 84kg x 10 m/s2 = 42,574 Joules
1 Joule = 4.184 calories (I had to look that up)
So, I spent 178,130 cal or 178 Kcal on vertical motion during my run.
If I do the same math at 80 Kg, I get 169 Kcal, which is about 95% of 178. So, I'd need 5% less energy if I weighed 4kg less.
On my run today, I averaged about 10 min (600 seconds) per mile. Don't hate on my because I'm slow, I've been super careful due to decades of calf injuries. 5% of 600 is 30. So, using the same energy, I should be able to run 30 seconds faster per mile if I loose 4 Kg
I'm guessing there is some gain to be had in the horizontal component as well, since I probably decelerate with every foot strike and then have to re-accelerate again with every toe off, but I don't have those numbers.