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Why does it lmprove accuracy of measuring the period if you time 10 oscillations and divide by 10 rather than timing one oscillation when conducting the pendulumn experiment?
Wiki User
∙ 12y ago
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Irma Kerluke
Wiki User
∙ 12y agoAssume you can count the number of oscillations without error, and that the time is measured to the nearest tenth of a second.
Suppose the true but unknown period is 2 seconds. On a single oscillation, you could measure the time as anything from 1.95 to 2.05 seconds - a maximum error of 0.5 seconds which represents a 2.5% error.
On ten oscillations your measurement should be between 19.95 to 20.05 seconds. Still a maximum error of 0.05 seconds in the total time, but the estimate for the period is now 1.995 to 2.005 seconds - an error of 0.005 seconds or 0.25%.
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