To investigate the relationship between length of a simple

pendulum and period of the of oscillation

Inference:

The period of pendulum is affected by the length of the thread.

Hypothesis:

The longer the length of a simple pendulum, the longer will be the period of oscillation

Aim:

To investigate the relationship between length of a simple

pendulum and the square of its period of oscillation

Variable:

Manipulated variable: The length,l

Responding variable : Period, T

Constant variable:Mass of pendulum bob, m

Apparatus and material

• Retort stand, pendulum bob, sting(thread), metre rule, stop watch.

Diagram

Procedure:

1.The apparatus was set up as shown in figure.

2.The length of thread,l was measured by a metre rule, starting with 20.0 cm. The bob of the pendulum was displaced and released.

3.The time for 20 complete oscillation, t was taken using stopwatch. Calculate the period of oscillation by using

20

tT

5.The experiment was repeated using different of lengths, l =40.0 cm, 60.0 cm, 80.0 cm and 90.0 cm.

Observation / Tabulated data

20

tT

Length of string, l (cm)

Time taken for 20 oscillation, t (s)

Period of oscillation

/(s)

T2 / (s2)

t1 t2 taverage

20.0 12.80 12.76

40.0 14.44 14.27

60.0 16.01 15.52

80.0 18.40 17.88

90.0 19.34 19.41

Observation / Tabulated data

20

tT

Length of string, l (cm)

Time taken for 20 oscillation, t (s)

Period of oscillation

/(s)

T2 / (s2)

t1 t2 taverage

20.0 10.34 10.22

30.0 11.39 11.40

40.0 12.49 12.60

50.0 15.44 15.30

60.0 16.61 16.44

Observation / Tabulated data

20

tT

Length of string, l (cm)

Time taken for 20 oscillation, t (s)

Period of oscillation

/(s)

T2 / (s2)

t1 t2 taverage

20.0 10.30 9.93

30.0 11.57 11.50

40.0 13.58 13.45

50.0 15.20 15.28

60.0 17.21 17.14

Graph T2 against l

T2 / s2

l/cm

Observation / Tabulated data

20

tT

Length of string, l (cm)

Time taken for 20 oscillation, t (s)

Period of oscillation

/(s)

T2 / (s2)

t1 t2 taverage

20.0

40.0

60.0

80.0

90.0