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Angular frequency
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== Unit == In [[SI]] [[Units of measurement|units]], angular frequency is normally presented in the unit [[radian]] per [[second]]. The unit [[hertz]] (Hz) is dimensionally equivalent, but by convention it is only used for frequency ''f'', never for angular frequency ''Ο''. This convention is used to help avoid the confusion<ref>{{cite book| url=https://books.google.com/books?id=eJhkD0LKtJEC&pg=PA145| title= Physics for scientists and engineers| first=Lawrence S.|last= Lerner|page=145| isbn=978-0-86720-479-7| date=1996-01-01| publisher= Jones & Bartlett Learning}}</ref> that arises when dealing with quantities such as frequency and angular quantities because the units of measure (such as cycle or radian) are considered to be one and hence may be omitted when expressing quantities in terms of SI units.<ref>{{cite journal | last1 = Mohr | first1 = J. C. | last2 = Phillips | first2 = W. D. | year = 2015 | title = Dimensionless Units in the SI | journal = Metrologia | volume = 52 | issue = 1 | pages = 40β47 | doi = 10.1088/0026-1394/52/1/40 | bibcode = 2015Metro..52...40M | arxiv = 1409.2794 | s2cid = 3328342 }}</ref><ref>{{cite journal | title = SI units need reform to avoid confusion | journal = Nature | department = Editorial | date = 7 August 2011 | volume = 548 | issue = 7666 | page = 135 | doi = 10.1038/548135b| pmid = 28796224 | doi-access = free }}</ref> In [[digital signal processing]], the frequency may be normalized by the [[sampling rate]], yielding the [[normalized frequency (digital signal processing)|normalized frequency]].
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