Couverture de Tautochrone Curve
Titre du livre:

Tautochrone Curve

Betascript Publishing (11-08-2010 )

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ISBN-13:

978-613-1-17285-4

ISBN-10:
6131172854
EAN:
9786131172854
Langue du livre:
Anglais
texte du rabat:
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. This solution was later used to attack the problem of the brachistochrone curve. Jakob Bernoulli solved the problem using calculus in a paper (Acta Eruditorum, 1690) that saw the first published use of the term integral. The tautochrone problem was studied more closely when it was realized that a pendulum, which follows a circular path, was not isochronous and thus his pendulum clock would keep different time depending on how far the pendulum swung. After determining the correct path, Christiaan Huygens attempted to create pendulum clocks that used a string to suspend the bob and curb cheeks near the top of the string to change the path to the tautochrone curve. These attempts proved to not be useful for a number of reasons. First, the bending of the string causes friction, changing the timing, Second, there were much more significant sources of timing errors that overwhelmed any theoretical improvements that traveling on the tautochrone curve helps. Finally, the "circular error" of a pendulum decreases as length of the swing decreases, so better clock escapements could greatly reduce this source of inaccuracy.
Maison d'édition:
Betascript Publishing
Site Web:
https://www.betascript-publishing.com/
Edité par:
Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
Numéro de pages:
128
Publié le:
11-08-2010
Stock:
Disponible
Catégorie:
Mathématiques
Prix:
45.00 €
Mots-clés:
Mathematics, Foliation

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