Definitions for "Angular Frequency"
Angular frequency is typically denoted by the Greek letter omega. Typical units: radians/second. omega = 2*PI*f, where f denotes frequency
frequency multiplied by the number 2Ï€. The "angular" bit is essentially a red herring, but is related to the fact that an angle of 2Ï€ radians is one revolution. Usual symbol: (Greek lower-case omega). The SI unit is the reciprocal second, symbol s-1, but some folks, confused by the "angular" part of the name, use radian per second (rad.s-1).
frequency of oscillation or rotation (measured, e.g. in radians/second) commonly designated by omega: omega = 2·pi·nu, where nu is the frequency (e.g. in Hertz [Hz]).