What length of string yields the smaller relative error?  Explain your results.

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What length of string yields the smaller relative error?  Explain your results.

 

Table 3
Initial
displacement
angle 10 deg
Length of
string (cm)
100
75
50
25
-Effect length of pendulum
Length
of string
(m)
1.0
.75
.50
.25
Time for Bob to
Trial 1
9.5
8.9
7
5
complete
Trial 2
9.8
8.7
7.2
4.9
5 cycles Avg. 5
cycles
Trial 3
9.9
8.9
7
4.8
9.73
8.83
7.06
4.9
St. Dev.
5 cycles
.208
.115
.115
.1
Mass of
bob
25 g
Estimated
Period (1
cycle)
1.9
1.76
1.41
.98
Transcribed Image Text:Table 3 Initial displacement angle 10 deg Length of string (cm) 100 75 50 25 -Effect length of pendulum Length of string (m) 1.0 .75 .50 .25 Time for Bob to Trial 1 9.5 8.9 7 5 complete Trial 2 9.8 8.7 7.2 4.9 5 cycles Avg. 5 cycles Trial 3 9.9 8.9 7 4.8 9.73 8.83 7.06 4.9 St. Dev. 5 cycles .208 .115 .115 .1 Mass of bob 25 g Estimated Period (1 cycle) 1.9 1.76 1.41 .98
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