Final answer:
The speed of sound in steel can be estimated using the formula: Speed of sound = √(Young's modulus / Density), where the Young's modulus of steel is 200×10⁹ N/m² and the density of steel is 8000 kg/m³. Substituting these values gives a speed of sound of 5000 m/s.
Step-by-step explanation:
The speed of sound in a solid can be estimated using the formula:
Speed of sound = √(Young's modulus / Density)
Given that the Young's modulus of steel is 200×10⁹ N/m² and the density of steel is 8000 kg/m³, we can substitute these values into the formula:
Speed of sound = √(200×10⁹ N/m² / 8000 kg/m³) = √(25×10⁶ m²/s²) = 5000 m/s