 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... :)
This comment has been removed by the author.
Deletes= seconds. therefore its seconds squared
Deletes= seconds. therefore its seconds squared
Deleteits T^2 not t^2, therefore its Period (the time taken for one oscillation) and is measured in s^2
Deleteviva question
ReplyDeletetnx
ReplyDeleteThank you
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ReplyDeletehow can you compare the theoretical results to the measured experimental?
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ReplyDeletei have a doubt in this tabulation for the experiment. the author mentioned T=t/20,(that means time /20 oscilation),But in the tabulation he mentioned for oscilation,i dont understand that,is it a mistake or what?.can you please explain..
ReplyDeleteI think there is a typo in the table. the average time for '10' oscillations in the table has been divided by 20 to give T, so table heading should be for '20' oscillations really
Deleteyeah, you are right.
DeleteHow much will g vary at a place and nearby places?
ReplyDeletethanks
ReplyDeleteIve taken inspiration from this report to conduct my own for my first year lab project at uni, who can i reference this too? i.e. name and date of this report published
ReplyDeleteThanks
ReplyDeleteWhy wouldn't angle measurement affect the time?
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why is it necessary to record time with respect to the reference mark at the equilibrium position of the bob?
ReplyDeletewhy is it necessary to add the radius of the bob to the length of the string to know the length of the pendulum??
ReplyDeleteyou need to treat the bob as a mass at a point. the point we use is the centre of mass of the bob, and is at a distance of length of string + radius of bob away from the point which remains stationary at top of pendulum
Deletehow do you calculate period of oscillation?
ReplyDeletepick a point on the path of the bob  as it passes its lowest point in the centre is usually easiest. Time how long it takes for the bob to pass this point 20 times going in the same direction eg left to right. divide that time by 20 to get the time of one oscillation which is centre to right, all the way to left and then back to centre
Deleteuncertainity for g is not included
ReplyDeleteWhy do we use 20 oscillations rather than one oscillation?
ReplyDeleteThis comment has been removed by the author.
ReplyDeleteHow can i get T^2 in the table.
ReplyDelete