Physics

Shear Wave Velocity Calculator

Find the shear (S-wave) velocity in a solid.

Parameters Live Compute
Calculated Output
Shear wave velocity 3,192.35
Formula: v_s = √(G ÷ ρ)
Step-by-Step Breakdown
1. Values used:
2. Shear modulus = 80 GPa
3. Density = 7,850 kg/m³
4.
5. Shear wave velocity = 3,192.35
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Shear (S) waves travel through solids at a speed set by the shear modulus and density.

The math behind it

v_s = √(G ÷ ρ). S-waves are slower than P-waves and can't pass through liquids.

Worked Example

Steel (G 80 GPa, ρ 7850) → about 3192 m/s.

Frequently Asked Questions

Why can't S-waves cross the outer core?

Liquids have no shear modulus, so shear waves can't propagate through them.

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