Today it occurred to me that there's an exercise tradeoff to be had. Do I want to go more slowly, in which case it's less strenuous exercise, or more quickly, in which case it's not a very long workout? I probably need the longer aerobic workout. But I at least feel like trying to quantify the tradeoff.

So, suppose the escalators rise at v_e feet per second, and are h_e feet high, with steps of height h_s (ignoring the shallow steps at top and bottom, and the flat mezzanine areas). If I take s steps per second, then I'll be moving at s * h_s feet per second relative to the escalator. That means I'll reach the top in h_e / (v_e + s * h_s) seconds.

I think h_e is about 100 feet, starting from the outbound platform and including all three escalators to the surface. I think v_e is about 0.5 feet per second, at least, it seems that slow, like it would be three minutes worth of standing around on escalators. I would guess h_s to be about 0.85 feet. So the tradeoff is something like

t = 100 / (0.5 + s * 0.85)

If I take one step every two seconds (s = 0.5), then my escalator climb takes t = 108 seconds, and I take a total of (t * s) = 54 steps. If I take one step per second (s = 1), then my escalator climb takes 74 seconds (and I end up taking 74 steps on the Porter Stairmaster). If I take two steps per second (s = 2), then my escalator climb takes 45 seconds, and I end up taking 90 steps.

Ok, that was silly. Going to sleep now.

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