is running speed only a (body weight) / (leg strength) ratio?
I want to be able to run fast. Sub (7.5-min / mile) at a marathon distance. I am trying to figure out why I can't run that pace for even 1-mile. I am not interested in endurance yet. Building endurance at a slow pace is not the way I want to train.
Are any of the following bullet points wrong?
the only variables that influence speed are (1)cadence (2) stride length.
cadence has a very low upper bound. (170 strides / min) seems as high as possible.
a stride causes you to be propelled forward, and lifted upward. And, this "lifting upward" side-effect is the real limiting factor.
Therefore, a runner who wants to go as fast as possible need only work on minimizing the ratio of (body weight) / (leg strength), right? Gravity is slowing me down. Is there anything other variable that could possibly make me run fast?
(I already eat an good diet. And, I can't believe hydration matters for runs of just 3 miles).
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"the only variables that influence speed are (1)cadence (2) stride length." Yes these two variables define your speed. But how to achieve high cadence of a longer time is a complex issue.
"cadence has a very low upper bound. (170 strides / min) seems as high as possible." Wrong. Many recommend 180, so 170 isn't considered a very high cadence.
"a stride causes you to be propelled forward, and lifted upward. And, this "lifting upward" side-effect is the real limiting factor." I don't think so. While it probably eats up a serious part of the energy, I don't think it is the limiting factor (see below)
Your conclusion is more or less right, if we are taking very short distances. Very short. Like ... kicking. And even in that case there are different factors to consider. There are different kind of muscle cell (look up fast twitch for example); Your tendons store energy from the impact on the ground and release it for the next step, so how good that works has an effect as well. These are just two examples.
If you just want to run fast, congratulation, you are probably done. I'm sure you can run 100m in below 7.5min/mile.
If you want to run longer, you'll have to train endurance. But you don't want that, so there is nothing to add to this answer...
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