Question

You have measured the length of a table to be 205.0 cm, 205.8 cm, 205.4 cm,...

You have measured the length of a table to be 205.0 cm, 205.8 cm, 205.4 cm, 204.6 cm, and 204.9 cm five independent times. You measured the width of the same table to be 60.1 cm, 60.4 cm, 60.2 cm, 60.0 cm, and 60.5 cm five independent times.

1. What is the uncertainty of the length?

2. What is the uncertainty of the width?

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Homework Answers

Answer #1
length average error in each reading = |205.14 - reading| total error or uncertainty = average of errors
205.0 cm 1025.7/5 = 205.14 cm 0.14 cm = 1.84/5 = 0.368 cm = 0.37 cm
205.8 cm 0.66 cm
205.4 cm 0.26 cm
204.6 cm 0.54 cm
204.9 cm 0.24 cm
Total = 1025.7 cm total = 1.84 cm
width average error in each reading = |60.24 - reading| total error or uncertainty = average of errors
60.1 cm = 301.2/5 = 60.24 cm 0.14 cm = 0.84/5 = 0.168 cm = 0.17 cm
60.4 cm 0.16 cm
60.2 cm 0.04 cm
60.0 cm 0.24 cm
60.5 cm 0.26 cm
total = 301.2 cm total = 0.84 cm
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