Angular Frequency
A scalar measure of rotation or oscillation rate expressed in radians per unit time.
Governing formula
ω = 2π f = 2π / T
SI unit
rad/s
In depth
Angular frequency simplifies wave trigonometric equations (sin(ωt - kx)) by eliminating explicit 2π factors in phase calculations.
Examples in the real world
An AC electrical grid operating at 50 Hz having an angular frequency of ω = 100π ≈ 314.16 rad/s.