In the relation y=Asin⁡(ωt−kx), the dimensions of ω/k are: (y- displacement, A- amplitude, t-time, x-position)

y=Asin⁡(ωt−kx) Here ωt= angle ⇒ω=1T=T−1 Similarly, kx= angle ⇒k=1x=L−1∴ ωk=T−1L−1=M0LT−1Or simply ω/k represents wave velocity.ωk=2πf2π/λ=fλ=v, where f is frequency.