in a series of successive measurements in an experiment, the readings of the period of oscillation of a simple pendulum were found to be 2.63s,2.56s, 2.42s, 2.71s,2.80s.Calculate the mean value of the period of oscillation.
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Explanation:
Mean= 2.63 + 2.56 + 2.42 + 2.71 + 2.80 / 5
= 2.624 s
Absolute Error= delta a1 = 2.63 - 2.62 = 0.01
delta a2 = 2.56 - 2.62 = 0.06
delta a3 = 2.42 - 2.62 = 0.0205
delta a4 = 2/71 - 2.62 = 0.09
delta a5 = 2.80 - 2.62 = 0.18
Delta a mean = 0.01+0.06+0.20+0.09+0.18 / 5
= 0.108 = 0.115 s
Relative Error= 0.115 / 2.6 = 0.04 s
Percentage Error = Delta a mean / a mean x 100
= 0.11 / 2.6 x 100
= 4%
Hope This Helps You :D
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