Clock Pivot
Brisk walking and the physical pendulum?
Brisk walking and the physical pendulum?
Many people find that they have a natural walking pace, a number of steps per minute that
is more comfortable than a faster or slower pace. Suppose this natural pace is equal to the
period of the leg, views as a uniform rod pivoted at the hip point.
a) For a person with 1.0 m long, what is the natural pace in steps per minute?
b) Compare this number with your natural pace (you can measure it by using a clock, and
counting your steps) Using your natural pace data, identify the possible center of mass of a
human’s leg. Estimate the moment of inertia of a real human leg in terms of L, and M
(mass of the leg).
c) Compare the natural walking speed of a tall man with that of a short man.
a) frequency = sqrt(mgL/I)/2pi
Look up I for a uniform rod. L is the distance to the cm (half the length). m cancels. Look up g. Calculage frequency.
b) Do the same thing, work backwards.
c) Since I goes like the square of the length, the frequency goes like one over square root of length. Taller man has longer period.
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