Physics

Speed of Sound in Solids Calculator

Find the speed of sound in a solid from its modulus and density.

Calculated Output

Speed of sound 5,047.54

Formula: v = √(E ÷ ρ)

Step-by-Step Breakdown

1. Values used:

2. Young's modulus = 200,000,000,000 Pa

3. Density = 7,850 kg/m³

5. Speed of sound = 5,047.54

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The math behind it

For a thin rod, v = √(E ÷ ρ), where E is Young's modulus and ρ is density.

Steel (E = 200 GPa, ρ = 7850) → about 5048 m/s.

Why faster than in air?

Stiffer bonds transmit vibrations more quickly between atoms.