The following terms are often used in the study of waves:
Wave number: k
Frequency: f
Wavelength: λ
Period: T
Phase velocity: vp
Angular frequency: ω
The following equations shows the relationship between these terms.
Wave number
k = 2∏/λ
Frequency
f = 1/T = ω0 / 2∏
Angular Frequency
ω0 = 2 · ∏ · f = 2∏ / T
Phase Velocity
vp = ω / k = λ · f
Period
T = 2∏ / ω0 = 2∏ · √(m/k)
Harmonic Wave
x = A · cos(ω0 · t + ø)
Where ø is the phase constant and A is the amplitude.