 Inference : When the length of a simple pendulum increases, the period of oscillation also increases. // 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
3.
Aim : To find the relationship between the length
of a simple pendulum and the period
of oscillation.
4.
Variable : a) Manipulated variable : Length, l
b) Responding variable : Period, T.
c)
Fixed variable : Mass of pendulum bob.
5.
Materials/ Apparatus : Retort stand, pendulum bob, thread, metre rule, stop
watch.
FUNCTIONAL DIAGRAM
7.
Procedure :
a) Set up the apparatus as shown
in Figure above.// A small brass or
bob was attached to the thread. The
thread was held by a clamp of a
the retort stand.
b) The length of the thread , l was measured by a metre rule,
starting
with 90.0 cm. The bob of the
pendulum was displaced and released.
c)
The time for 20 complete oscillations, t was taken using the stop
watch. Calculate the
period of oscillation by using, T = t / 20
d) The experiment was repeated using
different lengths such as
80.0 cm. 70.0 cm, 60.0 cm, 50.0 cm
and 40.0 cm.
Length
of string, l / cm

Time
taken for 10
oscillation,
t (s)

Period
of oscillation
T

T^{2}
(s^{2} )


t _{1}

t _{2}

Average, t


40.0
50.0
60.0
70.0
80.0
90.0

25.2
28.1
31.0
33.5
35.7
38.2

25.1
28.2
31.0
33.6
35.9
37.9

25.2
28.2
31.0
33.6
35.8
38.1

1.26
1.41
1.55
1.68
1.79
1.91

1.59
1.99
2.40
2.82
3.20
3.65

8. Plotting the graph
Notes :
a)
Plotting the graph
·
The graph should be labeled by a heading
·
All axes should be labeled
with quantities and their respective units.
·
The manipulated variable (l) should be plotted on the xaxis while the responding variable (T^{2}
) should be plotted on the yaxis
·
Odd scales such as 1:3,
1:7 , 1:9 0r 1 :11 should be avoided in plotting graph.
·
Make sure that the transference of data from the table to
the graph is accurate.
·
Draw the best straight line.
 the line that passes through most of the points plotted
such that is balanced by the number of points above and below the straight
line.
·
make sure that the size
of the graph is large
enough, which is, not less than half the
size of the graph paper or.( > 8 cm x
10 cm )
10.
Discussion / Precaution of the experiment / to improve the accuracy
a) The bob of the
pendulum was displaced with a small
angle
b) The amplitude of the
oscillation of a simple pendulum is small.
c) The simple pendulum
oscillate in a vertical plane only.
d) Switch off the fan to
reduce the air resistance
11. Conclusion
The length of simple pendulum is directly proportional
to
the square of
the period of oscillation. //
T^{2} is
directly proportional to l (the straight line graph passing
through the
origin)
how do i get the t^2 divided by s^2?
ReplyDeletewhat do you mean by that o.O?
Deletes^2 is a unit for t^2... :)
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Deleteviva question
ReplyDeletetnx
ReplyDeleteThank you
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ReplyDeletehow can you compare the theoretical results to the measured experimental?
ReplyDelete