O Botafumeiro: parametric pumping in the Middle Age

Sanmartín Losada, Juan Ramón (1984). O Botafumeiro: parametric pumping in the Middle Age. "American Journal of Physics", v. 52 ; pp. 937-945. ISSN 0002-9505.


Título: O Botafumeiro: parametric pumping in the Middle Age
  • Sanmartín Losada, Juan Ramón
Tipo de Documento: Artículo
Título de Revista/Publicación: American Journal of Physics
Fecha: 1984
Volumen: 52
Escuela: E.T.S.I. Aeronáuticos (UPM) [antigua denominación]
Departamento: Física Aplicada a la Ingeniería Aeronáutica [hasta 2014]
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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The pendular motion of a giant censer (O Botafumeiro) that hangs in the transept of the cathedral of Santiago de Compostela, and is cyclically pumped by men who pull at the supporting rope, is analyzed. Maximum angular amplitude attainable, and number of cycles and time needed to attain it, are calculated; the results agree with observed values (~ 82°, ~ 17 cycles, ~ 80 seconds) to the few percent accuracy of both the analysis and the observations and parameter measurements. The energy gain in a pumping cycle is obtained for an arbitrary pumping procedure to two orders in the small fractional change of pendular length; the relevance of the ratio (characteristic radial acceleration during pumping)/g to the gain is discussed- Effects due to rope mass, air drag on both Censer and rope, and the fact that the Censer is not a point mass, are considered. If the pumping cycle is inverted once the maximum amplitude has been attained, the Censer could be swiftly brought to rest, avoiding the usual violent stop. Historically recorded accidents, rope shape, and the influence of relevant parameters on the motion are discussed.

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ID de Registro: 21480
Identificador DC: http://oa.upm.es/21480/
Identificador OAI: oai:oa.upm.es:21480
Depositado por: Biblioteca ETSI Aeronauticos
Depositado el: 30 Oct 2013 11:26
Ultima Modificación: 21 Abr 2016 12:05
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