# Simple Pendulum (Lab Report)

Topics: Pendulum, Seconds pendulum, Orders of magnitude Pages: 6 (370 words) Published: December 21, 2013
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Introduction:
Aim: To find the relationship between the length of a simple pendulum and the period of oscillation. Research question: How does the string length of the pendulum affect the period of oscillation? Prediction: The longer the string, the longer it will take to make one complete oscillation. Variables:

Independent variable: Length (L).
Dependent variable: Period of oscillation (T).
Controlled variable: Mass of the plasticine.
Tools & Materials:
Stopwatch.
Ruler.
String.
Plasticine.
Ring Stand.
Pen.
Paper.
Highlighter.
Method:
1. I took the highlighter and put it on the table beside the ring stand so I can control my angle every time I swing the string that has the plasticine at its end. 2. I measured the length of the string 8 times because every time I decrease its length. 3. I take the stopwatch in my hand to record the time of the pendulum doing 10 times a whole complete oscillation. 4. I wrote down every time I record a time on my sheet of paper so that I don’t forget.

Raw data:

1
2
3
4
5
6
7
8

12.22 s
12.03 s
11.36 s
11.13 s
10.60 s
10.14 s
9.68 s
9.17 s
T 10 (±0.01)
12.25 s
11.95 s
11.64 s
11.14 s
10.72 s
10.06 s
9.63 s
9.28 s

12.53 s
11.89 s
11.66 s
11.19 s
10.55 s
10.20 s
9.76 s
9.27 s

1.222 s
1.203 s
1.136 s
1.113 s
1.060 s
1.014 s
0.968 s
0.917 s
T= T10/10
1.225 s
1.195 s
1.164 s
1.114 s
1.072 s
1.006 s
0.963 s
0.928 s
(±0.001)
1.253 s
1.189 s
1.166 s
1.119 s
1.055 s
1.020 s
0.976 s
0.927 s
(±0.1)
37.9 cm
34.6 cm
31.9 cm
29.1 cm
26.3 cm
24.2 cm
21.1 cm
18.2 cm
Length
In meters (m) :
In meters (m) :
In meters (m) :
In meters (m) :
In meters (m) :
In meters (m) :
In meters (m) :
In meters (m) :
(±0.001)
0.379 m
0.346 m
0.319 m
0.291 m
0.263 m
0.242 m
0.211 m
0.182 m
(T10/10) Average
1.233
1.196
1.155
1.115
1.062
1.013
0.969
0.924
Uncertainty (max - min/2)
0.016
0. 007
0.015
0.003
0.009
0.007
0.007
0.006

Processing data:

1
2
3
4
5
6
7
8
g
9.841
9.549
9.440
9.208
9.206
9.23319
8.871
8.416
T = 2

Formula to find ‘g’:

Period 2 (s2)
Length (m)
1.520289
0.379
1.430416
0.346
1.334025
0.319
1.243225
0.290
1.127844
0.263
1.026169
0.240
0.938961
0.211
0.853776
0.182

Presenting data:

Average:
Maximum:
Minimum:

Conclusion and Evaluation:
I was right when I said in the prediction that ‘The longer the string, the longer it will take to make one complete oscillation’ because as we can see in the table, from 1 to 8 (trials) there is a decrease in time. On the other hand, I’m sure that there are some systematic errors like recording the time and measuring the length of the string because it’s impossible to get the exact time and the exact length with no mistakes.