How to Calculate Bulk Modulus
What is Bulk Modulus?
Bulk modulus (K) measures resistance to uniform compression: K = -V(dP/dV), inverse of compressibility.
Step-by-Step Guide
- 1Input initial volume, pressure change, volume change
- 2Calculate bulk modulus
- 3Results show material stiffness under hydrostatic pressure
Worked Examples
Input
Water: K ≈ 2.2 GPa (compressible)
Result
Steel: K ≈ 160 GPa (incompressible)
Water ~70× more compressible
Common Mistakes to Avoid
- ✕Confusing with Young's modulus (uniaxial)
- ✕Not accounting for pressure effects on K
Frequently Asked Questions
How does bulk modulus relate to speed of sound?
Sound speed = √(K/ρ); higher K means faster sound.
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