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Speed of Sound in a Solid Rod Calculator

Find the longitudinal sound speed in a solid rod from its elastic modulus and density.

Inputs

Results

Longitudinal sound speed in rod5,063.697m/s
Sound speed5.063697km/s

Chart

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Describe what you want to find — “speed of sound in steel” — and jump to the right calculator.

How to use the speed of sound in a solid rod calculator

Find the longitudinal sound speed in a solid rod from its elastic modulus and density. Enter elastic modulus, density in the fields above; the longitudinal sound speed in rod, sound speed are computed instantly and plotted on the chart so you can see how the answer changes.

Common searches this calculator answers include “speed of sound in steel”, “sound speed in metal”, “sqrt(E/rho)”, “calculate speed of sound in a solid rod”, “find longitudinal sound speed in rod”.

Formula

Longitudinal sound speed in rod (m/s) = √(E / rho)
Sound speed (km/s) = [Longitudinal sound speed in rod] / 1000

Variables

  • E — Elastic modulus (Pa)
  • rho — Density (kg/m³)

Worked example

With elastic modulus = 200000000000 Pa, density = 7800 kg/m³, the calculator gives longitudinal sound speed in rod ≈ 5,063.697 m/s; sound speed ≈ 5.063697 km/s.

Frequently asked questions

What is the speed of sound in a solid rod calculator used for?

Find the longitudinal sound speed in a solid rod from its elastic modulus and density. It helps with questions such as “speed of sound in steel”, “sound speed in metal”, “sqrt(E/rho)”.

What is the formula for the speed of sound in a solid rod calculation?

Longitudinal sound speed in rod (m/s) = √(E / rho). Sound speed (km/s) = [Longitudinal sound speed in rod] / 1000. Here E is elastic modulus (Pa), rho is density (kg/m³).

What inputs do I need for the speed of sound in a solid rod calculator?

You need elastic modulus in Pa, density in kg/m³. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.

How do I use the speed of sound in a solid rod calculator?

Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.

Is the speed of sound in a solid rod result exact?

Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.

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