Determination of skin friction on a rotating sphere in magnetic levitation

A simple and inexpensive experimental procedure is proposed to investigate the skin friction caused by air in a rotating sphere. A device using a magnetic field keeps the sphere levitating. The sphere is briefly boosted and begins to rotate, but the air resistance acts in opposition to the motion an...

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Main Authors: C. Cena, L.F.S. Guizado, J.V.B. Ferreira
Format: Article
Language:Portuguese
Published: Sociedade Brasileira de Física 2024-02-01
Series:Revista Brasileira de Ensino de Física
Subjects:
Online Access:http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172024000100406&tlng=en
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author C. Cena
L.F.S. Guizado
J.V.B. Ferreira
author_facet C. Cena
L.F.S. Guizado
J.V.B. Ferreira
author_sort C. Cena
collection DOAJ
description A simple and inexpensive experimental procedure is proposed to investigate the skin friction caused by air in a rotating sphere. A device using a magnetic field keeps the sphere levitating. The sphere is briefly boosted and begins to rotate, but the air resistance acts in opposition to the motion and consequently the period of rotation increases. The experimental data demonstrate that the rotation period of the sphere increases exponentially with time. To account for this behavior, a physical model was developed, which provides an accurate description of the data. A coefficient, similar to the drag coefficient in the Drag Equation, was used to measure the air resistance on the rotating sphere. It is denominated as skin friction coefficient, its value was determined and it is remarkable that such a simple experiment provided a result so close to similar parameter value found in the literature.
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spelling doaj.art-9c2f3c6d3a5f4ba895e5aa8af14201da2024-02-06T07:40:44ZporSociedade Brasileira de FísicaRevista Brasileira de Ensino de Física1806-91262024-02-014610.1590/1806-9126-rbef-2023-0351Determination of skin friction on a rotating sphere in magnetic levitationC. Cenahttps://orcid.org/0000-0001-8766-6144L.F.S. Guizadohttps://orcid.org/0009-0008-7303-3459J.V.B. Ferreirahttps://orcid.org/0000-0001-9110-6457A simple and inexpensive experimental procedure is proposed to investigate the skin friction caused by air in a rotating sphere. A device using a magnetic field keeps the sphere levitating. The sphere is briefly boosted and begins to rotate, but the air resistance acts in opposition to the motion and consequently the period of rotation increases. The experimental data demonstrate that the rotation period of the sphere increases exponentially with time. To account for this behavior, a physical model was developed, which provides an accurate description of the data. A coefficient, similar to the drag coefficient in the Drag Equation, was used to measure the air resistance on the rotating sphere. It is denominated as skin friction coefficient, its value was determined and it is remarkable that such a simple experiment provided a result so close to similar parameter value found in the literature.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172024000100406&tlng=enSkin friction coefficientdrag force coefficientsphere drag torque
spellingShingle C. Cena
L.F.S. Guizado
J.V.B. Ferreira
Determination of skin friction on a rotating sphere in magnetic levitation
Revista Brasileira de Ensino de Física
Skin friction coefficient
drag force coefficient
sphere drag torque
title Determination of skin friction on a rotating sphere in magnetic levitation
title_full Determination of skin friction on a rotating sphere in magnetic levitation
title_fullStr Determination of skin friction on a rotating sphere in magnetic levitation
title_full_unstemmed Determination of skin friction on a rotating sphere in magnetic levitation
title_short Determination of skin friction on a rotating sphere in magnetic levitation
title_sort determination of skin friction on a rotating sphere in magnetic levitation
topic Skin friction coefficient
drag force coefficient
sphere drag torque
url http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172024000100406&tlng=en
work_keys_str_mv AT ccena determinationofskinfrictiononarotatingsphereinmagneticlevitation
AT lfsguizado determinationofskinfrictiononarotatingsphereinmagneticlevitation
AT jvbferreira determinationofskinfrictiononarotatingsphereinmagneticlevitation