[QUOTE=Trunk]
Why would you say that?
Sure, work is defined as force times displacement (well, dot product), but to claim the work is equal (seemingly) just considers horizontal displacement.
Generally speaking. . .there’s more vertical displacement with each running stride, wouldn’t you agree?
And, yes, the wind resistance would increase the amount of force needed to jog, also, but I bet that factor is much less than the springing/landing nature of running as compared to the falling/planting nature of walking.
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[QUOTE=Pygmy Rugger]
The work done is equal,** but the energy expended to acomplish said work is not.** For example, does a car get better fuel economy going 45 or 95?
Yes, the force to to drag is proportional to velocity squared. Measurable, yes, significant? Depends on wind speed, frontal body area, etc.
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Sure, there’s vertical work done with each leg thrust, but you get it back on the way down. Physical work doesn’t always relate to how hard it is to do something. For example, the classic calculus problem of pulling a bucket connected to a chain out of a well. The math says that there is less work performed as you pull the bucket up, because the weight of the chain is “decreasing”, because there’s less of it. But if you were pulling the bucket up, it would get harder on your arms and back with each stroke, due to muscle fatigue. Hence my statement, “the energy expended to accomplish said work is not (equal).”
I also agree that the springing force of landing and taking off while running is more significant to your muscles than the increased wind resistance. The OP asked if change in wind resistance was measurable. It is. I questioned its significance.
What I’m saying is, yes, your body works harder. But, using the physics definition of work, it is the same. Same word, two different definitions.