Speed of Longitudinal Wave in a Thin Circular Rod Calculator

Calculate Longitudinal Wave Speed in a Rod

Pa (N/m²)
Enter the Young's Modulus of the rod material (e.g., Steel: 200e9 Pa).
kg/m³
Enter the density of the rod material (e.g., Steel: 7850 kg/m³).

Accurately determine the speed of longitudinal waves propagating through a thin circular rod with our specialized online calculator. Simply input the material's Young's Modulus and density to get instant results for your physics and engineering studies.

Formula:

The speed of a longitudinal wave (v) in a thin circular rod is given by the formula:

v = √(E/ρ)

Where:

  • v = Speed of the longitudinal wave (meters/second, m/s)
  • E = Young's Modulus (Elastic Modulus) of the rod material (Pascals, Pa or N/m²)
  • ρ = Density of the rod material (kilograms/cubic meter, kg/m³)

This formula applies to thin rods where the wavelength is much larger than the rod's diameter.

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