Wave Equation (1D)
u_tt = v^2·u_xx
What it says
The one-dimensional wave equation relates the acceleration of a wave's displacement in time to its curvature in space through the square of the wave speed.
Symbols
| Symbol | Quantity | Dimension |
|---|---|---|
u | Wave displacement (m) | L |
u_tt | Second time derivative of displacement (m/s^2) | L T^-2 |
u_xx | Second spatial derivative of displacement (1/m) | L^-1 |
v | Wave speed (m/s) | L T^-1 |
Work it out
Enter what you know. No account needed.
Connects to
Filed under Waves · derive through it in the explorer