Problem 5P

(Note: In Problems, assume a number like 6.4 is accurate to ; and 950 is unless 950 is said to be “precisely” or “very nearly 950, in which case assume 950 )

(II) What, approximately, is the percent uncertainty for a measurement given as 1.57 m2?

Solution: 5P

Remarks: Percent uncertainty is a measure of the uncertainty of a measurement compared to the size of the measurement, expressed as a percentage. The calculation is derived by dividing the uncertainty of the experiment into the total value of the measurement and multiplying it by 100.

Percentage Uncertainty = [(Absolute Uncertainty)/(Value)] x 100

Step 1 of 1

Absolute Uncertainty is taken to be 0.01

We assume a percentage uncertainty of 1 in the last place that is 0.01

Therefore, % age uncertainty = (0.01) x 100%

1.57

= 0.64%

As the uncertainty has 1 significant figure, the % age uncertainty has 1 significant figure.

Hence Percentage Uncertainty = 1%