Question: The period T (in seconds) of a simple pendulum is a function of its length l (in feet) defined by the equation where g

The period T (in seconds) of a simple pendulum is a function of its length l (in feet) defined by the equation

Т %- 2т,


where g ≈ 32.2 feet per second per second is the acceleration of gravity.

The period T (in seconds) of a simple pendulum is


(a) Use a graphing utility to graph the function T = T(I).

(b) Now graph the functions T = T(I + 1),T = T(I + 2), and T = T(I + 3).

(c) Discuss how adding to the length I changes the period T.

(d) Now graph the functions T =T(2I),T =T(3I), and T = T(4I).

(e) Discuss how multiplying the length 1 by factors of 2,3, and 4 changes the period T.

T = 2 g

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