Wave Propagation in a Coil Spring

[BrianMechEng]

I am studying the vibrations in a coil spring, and want to confirm with others that my derivation is correct.

I found that for small oscillations the spring is described by the 1-D wave equation, with wave speed k*l^2/m. where k is the spring constant, l is the spring length, and m is the spring mass. Does this sound familiar to anyone?

 

[haruspex]

I am studying the vibrations in a coil spring, and want to confirm with others that my derivation is correct.

I found that for small oscillations the spring is described by the 1-D wave equation, with wave speed k*l^2/m. where k is the spring constant, l is the spring length, and m is the spring mass. Does this sound familiar to anyone?

Just looking at the dimensions, it should be square root of that.