Wave motion

Wave Motion

• Units and Variables

  • λ - wavelength, in meters
  • μ - mass per unit length
  • κ - wave number
• $y\left(x,t\right)=A\sin \left(\frac{2\pi }{\lambda }\left(x+vt\right)\right)=A\sin \left(\kappa x+\omega t+\phi \right)$
• $v=\frac{\lambda }{T}=\frac{\omega }{\kappa }=\lambda f=\sqrt{\frac{T}{\mu }}$
• $\kappa =\frac{2\pi }{\lambda }$
• $v_{\text{y max}}=\omega A$
• $a_{\text{y max}}={\omega }^{2}A$