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Fig. 1. (Color online) The paradox of significant figures of an angle in polar coordinates by comparing F1+2 in Exercise 1-1) and F1+3 in Exercise 1-2). F1+2 = F1 + F2 = (0.0000…, 15.2)+(26.3, 0.0000.) = (26.3, 15.2). F1+3 = F1 + F3 = (0.0000…, 15.2) + (-26.3, 0.0000…) = (-26.3, 15.2). Both vectors have the same error area in a rectangular system since F3 = F2. In a polar system, F1+3 produces ten times less angle precision than that in F1+2.
New Phys.: Sae Mulli 2021;71:771~774 https://doi.org/10.3938/NPSM.71.771
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