Worksheet on Calculation of Uncertainties

If

Or

Then

Examples and Exercises:

1. The area of a rectangle of sides (2.3 +/- 0.1m) and (0.47 +/- 0.03m) is given by:

1. The area of a rectangle of sides (5.4 +/- 0.2m) and (4.43 +/- 0.01m) is given by:

1. The area of a rectangle of sides (101 +/- 4cm) and (0.47 +/- 0.03m) is given by:

2. The cross-sectional area of an extrusion of length 2.4 +/- 0.3m, and volume 235 +/- 3% cubic centimeters is given by:

Substituting into the above relationship, this gives:

3.The cross-sectional area of an extrusion of length 1.7 +/- 0.6m, and volume 707 +/- 3% cubic centimeters is given by: