All walking animals, includinghumans, have a natural waking pace, a number of st

Question

All walking animals, includinghumans, have a natural waking pace, a number of steps per minutethat is more comfortable than a faster or slower pace. Suppose thisnatural pace is equal to the period of the leg, viewed as a uniformrod pivoted at the hip joint. (a) How does the natural waking pacedepend on the length L of the leg, measured from hip tofoot? (b) Fossil evidence shows that Tyrannosaurus rex, atwo-legged dinosaur that lived about 65 million years ago at theend of the cretaceous period, had a leg length L = 3.1 mand a slide length (the distance from one foot-print to the nextprint of the same foot) S = 4.0 m (Fig. 4). Estimate thewalking speed of Tyrannosaurus rex.

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Explanation / Answer

  (a) T = 2(L/g) , v = naturalwalking pace = distance / time = stride length / time period = A /T = A / 2(L/g)    (b) walking speed = A / T = stride length /time period = 4/2(3.1/9.8) m/s = 1.1319 m/s

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