II

I

III

Trial 1 Trial 2 Trial 3 average

Period(s/cicle)

Frequency(cicle/s)

Length 1 (10 cm)

10 11 11 10.7 1.07

Leght 2 (20 cm)

9 9 9 9 1.09

Leght 3(30 cm)

8 8 9 8.3 1.28 0.83

Mass(50 gr)

9 8 8 8.3 0.83

Mass(100 gr)

7 8 8 7.6 1.25

Mass(125 gr)

7 8 8 7.6 1.30 0.76

Amplitude(20°)

8 8 8 8 0.80

Amplitude(40°)

8 8 8 8 1.25

Amplitude(60°)

8 7 7 7.3 1.27 0.73

Trial 1 Trial 2 Trial 3 averagePeriod(s/cicle)

Length of string (m)

g

Length 1 10 11 11 10.7 0.92 0.10Length 2 9 9 9 9 0.11 0.20Length 3 8 8 9 8.3 1.29 0.30

Note :

I : mass = 50 grams, angle = 300

II : length = 30 cm, angle = 300

III : mass = 50 grams, length = 30 cm

ANALYZE

1. Summarize . What is the relationship between the pendulum’s amplitude and its period?

The answer : if the pendulums amplitude is bigger, it makes the period is also bigger.

2. Summarize . What is the relationship between the pendulum’s bob mass and its period?

The answer : if the pendulum’s bob mass is bigger, it makes the period is smaller

3. Compare and Contrast . How are the period and length of a pendulum related?

DATA TABLE 1

DATA TABLE 2

The answer : the period is influenced by increasing of length too. It is proved on our

investigation, the result is if pendulum’s length is longer, will make the period is bigger

4. Determine g (the acceleration due to gravity using the question T= 2√ l/g).

Length 1 :

- T= 0.92

- l= 0.10 m

The resolution is :

T= 2√ l/g

0.92 = 2 x 3.14 √ 0.10/g

(5.78 )2 = (√ 0.10/g)2

33.4084 = 0.10/g

g = 0.00299

length 2 :

- T = 0.11

- l = 0.20

The resolution is :

T= 2√ l/g

0.11 = 2 x 3.14 √ 0.20/g

(5.78 )2 = ¿/g)2

33.4084 = 0.20/g

g = 0.00598

length 3 :

- T = 1.29

- l = 0.30

The resolution is :

T= 2√ l/g

1.29 = 2 x 3.14 √ 0.30/g

(5.78 )2 = ¿/g)2

33.4084 = 0.30/g

g = 0.0089

5. Error Analiysis

Pendulums are affected by changes in gravitational acceleration, which varies by as

much as 0.5% at different locations on Earth, so pendulum clocks have to be

recalibrated after a move. Even moving a pendulum clock to the top of a tall building

can cause it to lose measurable time from the reduction in gravity.

CONCLUDE AND APPLY

1. Infer. What variable(s) effects a pendulum’s period?

The answer : there are main possible variable that affect the period. There are the length,

amplitude, and mass of pendulum.

2. Analyze. why is better to run three or more trials to obtain the frequency and period of each

pendulum?

The answer : because if we want to get the valid data, we must do the experiment more than

three times, then we must find the average of the data.

3. Compare. How is the motion of pendulum like that of a wave?

The answer : Pendulum moving back and forth around or past the point of balance and the

end of the rope (that have vibrates) at a pendulum which resulted in a wave propagating.

4. Analyze and conclude. When does the pendulum bob have the greats kinetic energy?

The answer : The pendulum bob have the greats kinetic energy when the pendulum in the the

lowest point or in the equilibrium point.

5. Analyze and conclude. When does the pendulum bob have the greats potential energy?

The answer : The pendulum bob have the greats potential energy when the pendulum in the

he highest point and the velocity is 0 (stops for a moment)

GOING FUTHER

Suppose you had a very long pendulum. What other observation could be made, over the period

of a day, of this pendulum's motion?

1. Schuler tuning

2. Seismometers

3. Pendulum’s o’clock

REAL WORLD PHYSICS

Pendulum are used to drive some types of clocks. using the observation from your experiment,

what design problems are there in using your pendulum as a time-keeping instrument?

From our experiment, we can conclude that the pendulum only can as a time-keeping instrument

if the motion is constant. We can say “constant” if the angle of pendulum is same, the velocity is

also same, and then the pendulum is not moving-circle