Chapter 12:
Statistics
Getting Started: Pendulum Lengths and
Periods
Getting Started is a fast-paced introduction. Read the chapter for details.
A group of students is attempting to determine the mathematical relationship
between the length of a pendulum and its period (one complete swing of a
pendulum). The group makes a simple pendulum from string and washers and
then suspends it from the ceiling. They record the pendulum's period for each of
12 string lengths.*
Length (cm)
6.5
11.0
13.2
15.0
18.0
23.1
*
This example is quoted and adapted from Contemporary Precalculus Through
Applications , by the North Carolina School of Science and Mathematics, by permission
of Janson Publications, Inc., Dedham, MA. 1-800-322-MATH. © 1992. All rights
reserved.
TI-83 Plus
Statistics
Time (sec)
0.51
0.68
0.73
0.79
0.88
0.99
Length (cm)
24.4
26.6
30.5
34.3
37.6
41.5
Time (sec)
1.01
1.08
1.13
1.26
1.28
1.32
315