class 050824

Based on the observations made in one class, here is a graph of pendulum period vs. length.  The function that according to this graph relates period and length is T = .23 L^.48, approximately, where T is period in seconds and L is length in cm.

According to this graph:

According to the function T = .23 L^.48:

The observed periods for lengths of 15 cm and 40 cm are approximately .7 seconds and 1.35 seconds.  If it is known that the period is related to the length by a function of the form T = A * L^p, then