# Propagation of Uncertainties for a set of calipers

I have a set of calipers that can measure thickness of a few inches with an uncertainty of +/- 0.005 inches. I measure the thickness of a deck of 52 cards and get 0.590 in.

a) If I now calculate the thickness of 1 card, what is my answer (including its uncertainty)?

b) I can improve this result by measuring several decks together. If I want to know the thickness of 1 card with an uncertainty of only 0.00002 in, how many decks do I need to measure together?

https://brainmass.com/physics/physics-measurements/propagation-uncertainties-set-calipers-124815

#### Solution Preview

Please see the attached file.

I have a set of callipers that can measure thickness of a few inches with an uncertainty of +/- 0.005 inches. I measure the thickness of a deck of 52 cards and get 0.590 in.

a) ...

#### Solution Summary

The solution explains the concept of uncertainty and its propagation.

$2.19