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Propagation of Uncertainties for a set of calipers

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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?

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The solution explains the concept of uncertainty and its propagation.

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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) ...

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