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Angular frequency
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=== Circular motion === {{main|Circular motion}} In a rotating or orbiting object, there is a relation between distance from the axis, <math>r</math>, [[tangential speed]], <math>v</math>, and the angular frequency of the rotation. During one period, <math>T</math>, a body in circular motion travels a distance <math>vT</math>. This distance is also equal to the circumference of the path traced out by the body, <math>2\pi r</math>. Setting these two quantities equal, and recalling the link between period and angular frequency we obtain: <math>\omega = v/r.</math> Circular motion on the unit circle is given by <math display="block">\omega = \frac{2 \pi}{T} = {2 \pi f} , </math> where: * ''Ο'' is the angular frequency (SI unit: [[radians per second]]), * ''T'' is the [[Frequency|period]] (SI unit: [[second]]s), * ''f'' is the [[ordinary frequency]] (SI unit: [[hertz]]).
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