2.5 Question 90

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Precalculus
Michael Sullivan
Edition 4
Chapter 2, Section 2.5

The period T (in seconds) of a simple pendulum is a function of its length l (in feet) and is defined by the equation T=2π[tex]\sqrt{ \frac{l}{g} }[/tex], where g[tex]\approx[/tex]32.2 feet per second squared is the acceleration of gravity

a) use a graphing utility to graph the function T=T(l)

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

c) discuss how adding to the length l changes the period T

d) now graph the function T=T(2l), T=T(3l), and T=T(4l)

e) discuss how multiplying the length l by factors of 2,3, and 4 changes the period T