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Why historical east deviation experiments are so difficult to perform?

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Academic year: 2021

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Abstract Submitted for the DFD12 Meeting of The American Physical Society

Why historical east deviation experiments are so difficult to per-form? BAPTISTE DARBOIS TEXIER, LadHyX - PMMH, ESPCI, CAROLINE COHEN, LadHyX, DAVID QUERE, PMMH, ESPCI, CHRISTOPHE CLANET, LadHyX — From the 17th to the 19th century, a big deal was to prove Earth ro-tation existence. For this purpose, numerous experimental physicists from Borelli in 1668 to Reich in 1832 tried to measure an eastward deviation of a falling sphere. Reich performed 106 falling experiments on a 158.5 m deep mine pit. The mean eastward deviation of its experiments is 2.8 cm. This value corresponds exactly with the theoretical one predicted by Laplace and Gauss expression at Freiberg lat-itude where experiments were conducted. While Reich took extreme precautions to perform its experiments, the dispersion on its results is very important. Actually aerodynamic lift forces on a smooth sphere made its free fall non perfectly straight. We understand Reich’s results dispersion considering fluctuating lift forces inten-sity on a smooth sphere at those Reynolds numbers (Re ∼ 104− 105). This study provides a criterion above which we can distinguish between lift force and Coriolis deviation during a free fall experiment.

Baptiste Darbois Texier LadHyX - PMMH, ESPCI

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