Dr. Brown has built a 94 cm pendulum and pulled the pendulum 25° from vertical and then measured the period of 30 consecutive swings. The data is shown below. How do you interpret the uncertainties involved in this data? Period of Dr. Brown's pendulum Period of swing (s) 1.98 1.978 1.976 1.974 1.972 1.97 1.968 1.966 1.964 0 10 20 Number of swings since release 30 Some random effect lowers the period of the pendulum by about 0.01 s in between the first and last data point. The random uncertainty starts large (approximately 0.03 s) but decreases quickly until it is immeasureably small by the end of the data set. O Some systematic effect lowers the period of the pendulum by about 0.01 s in between the first and last data point. O The systematic uncertainty starts large (approximately 0.01 s) but decreases quickly until it immeasurably small by the end of the data set.

Elements Of Electromagnetics
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Dr. Brown has built a 94 cm pendulum and pulled the pendulum 25° from vertical and then
measured the period of 30 consecutive swings. The data is shown below. How do you interpret
the uncertainties involved in this data?
Period of Dr. Brown's pendulum
Period of swing (s)
1.98
1.978
1.976
1.974
1.972
1.97
1.968
1.966
1.964
0
10
20
Number of swings since release
30
O Some random effect lowers the period of the pendulum by about 0.01 s in between the first and last data
point.
O The random uncertainty starts large (approximately 0.03 s) but decreases quickly until it is immeasureably
small by the end of the data set.
O Some systematic effect lowers the period of the pendulum by about 0.01 s in between the first and last data
point.
O The systematic uncertainty starts large (approximately 0.01 s) but decreases quickly until it immeasurably
small by the end of the data set.
Transcribed Image Text:Dr. Brown has built a 94 cm pendulum and pulled the pendulum 25° from vertical and then measured the period of 30 consecutive swings. The data is shown below. How do you interpret the uncertainties involved in this data? Period of Dr. Brown's pendulum Period of swing (s) 1.98 1.978 1.976 1.974 1.972 1.97 1.968 1.966 1.964 0 10 20 Number of swings since release 30 O Some random effect lowers the period of the pendulum by about 0.01 s in between the first and last data point. O The random uncertainty starts large (approximately 0.03 s) but decreases quickly until it is immeasureably small by the end of the data set. O Some systematic effect lowers the period of the pendulum by about 0.01 s in between the first and last data point. O The systematic uncertainty starts large (approximately 0.01 s) but decreases quickly until it immeasurably small by the end of the data set.
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