speed of a wave in terms of k and w
Phase velocity
Thus the propagation velocity v is v = x / t = ω / k . The wave propagates faster when higher frequency oscillations are distributed less densely in space . Formally , Φ = kx − ωt is the phase . Since ω = − dΦ / dt and k = + dΦ / dx , the wave velocity is v = dx / dt = ω / k . 
Thus the propagation velocity v is v = x / t = ω / k . The wave propagates faster when higher frequency oscillations are distributed less densely in space . Formally , Φ = kx − ωt is the phase . Since ω = − dΦ / dt and k = + dΦ / dx , the wave velocity is v = dx / dt = ω / k .
The wave propagates faster when higher frequency oscillations are distributed less densely in space. Formally, Φ = kx − ωt is the phase.  The wave velocity is v = dx / dt = ω / k.
The wave propagates faster when higher frequency oscillations are distributed less densely in space . Formally , Φ = kx − ωt is the phase . + dΦ / dx , the wave velocity is v = dx / dt = ω / k .