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How Losing Weight Can Make You a Faster Runner: Unpacking the Math

Recently, I stumbled upon an enlightening article that delved into the mathematical relationship between weight loss and running speed. It's a fascinating topic that might just serve as the motivation many of us need, especially with the New Year inspiring fitness resolutions. Here, I want to break down this concept and share why, according to this formula, losing weight could help you run faster and more efficiently.



The Science Behind the Speed

Elite runners often maintain a very lean physique. It's not just the act of running that keeps them slim; their lower body mass fundamentally allows them to move faster. You might not aim to be as lean as Mo Farah, but the principle that reduced weight equates to increased speed applies to all runners.


Breaking Down the Formula


The mathematical formula I came across beautifully encapsulates this concept:


P=Pr+Pl=c×m×v+0.5×ρ×cdA×(v+vw) 2×v


Where:


P represents Power.

Pr stands for running resistance.

Pl is the air resistance.

m is your weight in kilograms.

v is your running speed.

vw is the wind speed affecting your run.


The Impact of Weight Loss on Running


As the formula shows, your body’s power (P) combats both running resistance and air resistance. When you lose weight, primarily fat, your power remains stable provided you’re not losing muscle mass. This reduction in weight decreases the running resistance component (c \times m \times v) of the formula. Air resistance, usually a smaller part of the equation, changes less dramatically. Therefore, a decrease in weight directly translates into increased speed—roughly a one percent increase in speed for every one percent decrease in weight.


Longevity and Endurance


Moreover, the formula suggests that lighter runners can maintain certain speeds for longer durations. With less weight to carry, you expend less energy, which means your power reserves last longer. This is also reflected in your Anaerobic Threshold—the highest power you can sustain for an hour. The lighter you are, the higher this threshold becomes, enhancing endurance.


Real-world Implications


To put this into perspective, consider a marathon runner who weighs 80 kilograms. If they lose 10% of their weight, dropping to 72 kilograms, their marathon time could improve significantly—up to 24 minutes faster if they maintain the same power level. This kind of improvement is substantial and could be a game-changer for competitive runners.


A New Year’s Motivation


With January often marked by new fitness goals and resolutions, understanding this relationship between weight and running efficiency could be just the motivation needed to stick with a training and diet plan. It’s certainly on my list of goals for this year, and perhaps it should be on yours if you’re looking to get faster.


In conclusion, if your New Year’s resolution involves improving your running times, consider how integrating weight management into your training regime could help you achieve this goal. Just remember, the journey to weight loss should be healthy and gradual to ensure you maintain muscle strength and overall wellness. So, until next time, lace up, and happy running!


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