Membrane wave speed equals the square root of tension over density

Evidence

The tension T is assumed uniform in all directions along the membrane, and the density of the membrane is ρ, given in kg/m2. Then the wave speed is c = (T/ρ)1/2. Paul Falstad’s Oscillating Membrane simulates a rectangular or square membrane, showing the shape and motion of various individual modes and the evolution of various kinds of plucks and hits. — Eric J. Heller, Why You Hear What You Hear- An…, 863

Categorization

• DEFINE: The wave-speed formula c = (T/ρ)^1/2 generalizes the string wave speed to two dimensions, with density now in kg/m