The percent uncertainty in the measurement ( 5.8 ± 0.25 m) is 4.31%.
By definition, a percentage is a value out of a possible 100. The measurement's absolute error is multiplied by the measurement's value to determine the percentage. The result is then multiplied by 100.
Percent uncertainty:
Uncertainty is stated as a percentage, or fractional uncertainty is fractional uncertainty multiplied by 100.
Consider the measurement,
5.8 ± 0.25 m
Let 5.8 ± 0.25 m = x ± Δx
Then,
x = 5.8 and Δx = 0.25
The percent uncertainty will be:
% uncertainty = [ Δx / x ] × 100
% uncertainty = [ (0.25 m) / ( 5.8 m) ] × 100
% uncertainty = ( 0.04310344827 ) × 100
% uncertainty = 4.31 %
Therefore, the percent uncertainty of the measurement 5.8 ± 0.25 m is 4.31 %.
Learn more about uncertainty here:
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