Waves
Phase Velocity
Velocity at which the phase of a wave propagates through space.
Variables
v_pm/s
Phase velocity
Speed of phase propagation
ωrad/s
Angular frequency
Radians per second
krad/m
Wave number
Radians per meter
Derivation
From wave equation y = A sin(kx - ωt), phase velocity v_p = ω/k = fλ.
Your notes
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Common questions
What is the Phase Velocity formula?
Phase Velocity is written vₚ = ω/k. Velocity at which the phase of a wave propagates through space. It belongs to Waves, under Wave Properties.
What are the units in vₚ = ω/k?
In SI units, v_p is phase velocity, measured in m/s; ω is angular frequency, measured in rad/s; k is wave number, measured in rad/m.
How is the Phase Velocity formula derived?
From wave equation y = A sin(kx - ωt), phase velocity v_p = ω/k = fλ. The result is vₚ = ω/k.