Manual Casio EA200 (page 16 of 55) (English)

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English

í Equipment

String with little elasticity Weight Stand Height adjustment blocks (2)

Optical Measurement Setup (EA-200, graphic scientific calculator, data communication

cable, optical probe)

í Building a Pendulum

u Securing the fixed point of the pendulum so it cannot move, assemble the pendulum as

shown in the illustration.

í Setting Up

u Align the heights of the optical probe and flashlight so the flashlight is shining directly at

the probe.

u Set up the pendulum so the weight blocks the light to the optical probe when it is at rest.

2-2-1

In this activity, we create a simple pendulum and then visually check the periodicity of its

movement, while determining its period.

A pendulum is a string whose one end is fixed and whose other end has a weight attached

to it. As the weight swings, it keeps returning to the same position at the same velocity over

time. Such motion is called “periodic motion,” and the time it takes for the weight to return to

a particular state is called its “period.” A high-precision pendulum can continue to swing for

a very long time with little change in its period over time. This is why such a pendulum is

often used for timepieces.

A pendulum that moves across a single plane is called a simple pendulum. When the

amplitude of the pendulum is sufficiently short in relation to its length, the period of a simple

pendulum can be expressed as shown below.

R(cm) : Pendulum Length

g(cm/s

):Gravitational Acceleration

m(g) : Mass of Weight

T(s) : Period

All of this means that if gravitational acceleration is a fixed value that depends on the

location where the activity is performed, then the period depends on the length of pendulum

only.

With this activity, a pendulum is setup between a light source and an observer. The shadow

created by the weight makes it possible to observe the periodicity of the pendular motion.

Period of Pendular Movement

Theory

Though actual gravitational acceleration depends on latitude and elevation, this activity can be

conducted using the gravitational constant. When gravitational acceleration is 980cm/s

and

the length of the pendulum is 25cm, the oscillation period of the pendulum is about one second.

T = 2π

1 Stand

2 Pendulum Length: 30cm

3 Fixed Point

4 String

5 Weight: 100g

6 Weight Size: 3cm

7 Height: 2cm

8 Desk

1 Flashlight

2 Optical Probe (Observer) (CH1)

3 EA-200

4 Distance Between Weight and Optical Probe: 10cm

5 Desk

Activity: SetupActivity: Setup

1 Fixed Point

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Casio EA200 Manual

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