The document is a lesson on pendulum mechanics for a Physics course, focusing on the concepts of acceleration and free fall. It defines a pendulum's components, including its period, amplitude, and the formula used to calculate the period based on the length of the string and gravitational acceleration. Additionally, it provides sample problems to illustrate how to compute the period for pendulums of different lengths.

1. PENDULUM
General Physics 1
Science, Technology, Engineering, and
Mathematics 12
CHAPTER 3: Acceleration and Free Fall
Prepared by: Lord William B. Pacurib
DON BOSCO TECHNICAL INSTITUTE OF VICTORIAS INC.
VICMICO, Victorias City, 6119 Negros Occidental, Philippines
Senior High School Department | School Year 2022–2023

2. OBJECTIVES
•Compute for the period of a
pendulum

3. INTRODUCTION
Have you ever saw
those old-fashioned
clocks? What have
you noticed?

4. LESSON PROPER
THE PENDULUM
A pendulum is a
mass hanging from a
string which swings from
a pivot joint.

5. The period is the
time required for one
complete cycle; the
pendulum must move
from one side of its swing
to the other and back
again to be considered
one complete cycle.

6. The hanging object at
the end of the string is
called the bob.
The pendulum’s
amplitude is the
maximum sideways
displacement of the
bob from its rest
position.

7. The period (T) of the pendulum depends on the
length of the string (L) and the acceleration due to
gravity (g). Hence, the period of a pendulum can be
described by the following expression.
𝑇=2𝜋
√𝐿
𝑔

8. SAMPLE PROBLEM 1: Determine the period
of a pendulum of length 1.0 meter and 2.0
meter.
SOLUTION 1: Solving for the period of a pendulum with
1.0 meter length.
𝑇=2𝜋
√𝐿
𝑔
¿2 𝜋
√ 1.0 m
9.8m/s2
¿2 𝜋 √0.1020 s
2
¿2 𝜋 (0.3194 s)
¿6.28 ( 0.3194 s)
¿𝟐.𝟎𝟏𝐬

9. SOLUTION 2: Solving for the period of a pendulum with
2.0 meter length.
𝑇=2𝜋
√𝐿
𝑔
¿2 𝜋
√ 2.0m
9.8m/s
2
¿2 𝜋 √0.2041 s2
¿2 𝜋 (0.4518 s)
¿6.28 ( 0.4518 s)¿𝟐.𝟖𝟒𝐬