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angular frequency
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A line graph showing peak current in amperes on the vertical axis versus angular frequency in units of ten thousand radians per second on the horizontal axis. The curve rises sharply to a peak near 3.5 on the horizontal axis, marked with a dotted line labeled omega sub r, then falls symmetrically. The background is light blue. A graph showing average power dissipation in watts on the y-axis versus angular frequency in tens of thousands of radians per second on the x-axis. The curve peaks sharply at the resonant frequency, with horizontal dashed lines marking maximum and half-maximum power, and vertical dashed lines at key frequencies labeled ?1, ?r, and ?2. A line graph showing peak inductor voltage in volts on the y-axis versus angular frequency in radians per second (times 10,000) on the x-axis, with a sharp peak near 3.5 x 10^4 radians per second, marked by a vertical dotted line labeled ?r.
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angular frequency

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A line graph showing peak current in amperes on the vertical axis versus angular frequency in units of ten thousand radians per second on the horizontal axis. The curve rises sharply to a peak near 3.5 on the horizontal axis, marked with a dotted line labeled omega sub r, then falls symmetrically. The background is light blue.
current amplitude as a function of frequency Figure 24: Current amplitude (peak current) as a function of ω (see text).

Angular frequency, often symbolized by the Greek letter omega (\u03c9), is a measure of how quickly an object rotates or revolves. It's the time rate at which angular displacement changes. In physics and mathematics, angular frequency is typically expressed in radians per second. It's equivalent to the frequency of a periodic process multiplied by 2\u03c0. For instance, in uniform circular motion, a particle sweeps out an angle of 2\u03c0 radians per unit of time, which is its angular frequency. This concept is fundamental in describing simple harmonic motion, where displacement can be represented as A cos \u03c9t, with A being the maximum displacement and \u03c9 the angular frequency.1234

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5 Britannica Sources
  1. angular velocity
  2. angular frequency
  3. simple harmonic motion
  4. mechanics - Circular motion
  5. quantum mechanics - Cesium clock

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