Angular frequency

Angular frequency
Angular speed ω (in radians per second), is greater than rotational frequency ν (in Hz), by a factor of 2π.
Other names
angular speed, angular rate
Common symbols
ω
SI unitradians per second (rad/s)
Other units
degrees per second (°/s)
In SI base unitss-1
Derivations from
other quantities
ω=2π rad ⋅ ν, ω=dθ/dt
Dimension
A sphere rotating around an axis. Points farther from the axis move faster, satisfying ω = v / r.

In physics, angular frequency (symbol ω), also called angular speed and angular rate, is a scalar measure of the angle rate (the angle per unit time) or the temporal rate of change of the phase argument of a sinusoidal waveform or sine function (for example, in oscillations and waves). Angular frequency (or angular speed) is the magnitude of the pseudovector quantity angular velocity.[1]

Angular frequency can be obtained multiplying rotational frequency, ν (or ordinary frequency, f) by a full turn (2π radians): ω=2π rad ⋅ ν. It can also be formulated as ω=dθ/dt, the instantaneous rate of change of the angular displacement, θ, with respect to time, t.[2][3]

  1. ^ Cummings, Karen; Halliday, David (2007). Understanding physics. New Delhi: John Wiley & Sons, authorized reprint to Wiley – India. pp. 449, 484, 485, 487. ISBN 978-81-265-0882-2.(UP1)
  2. ^ "ISO 80000-3:2019 Quantities and units — Part 3: Space and time" (2 ed.). International Organization for Standardization. 2019. Retrieved 2019-10-23. [1] (11 pages)
  3. ^ Holzner, Steven (2006). Physics for Dummies. Hoboken, New Jersey: Wiley Publishing. pp. 201. ISBN 978-0-7645-5433-9. angular frequency.