Velocity of Sound Waves in Air and Laplace Correction

Newton's formula for the velocity of sound waves in air is v = √(γ * P / ρ), where v is the velocity, γ is the adiabatic index, P is the pressure, and ρ is the density.

The Laplace correction is a modification to Newton's formula for the velocity of sound waves in air, taking into account the changes in pressure with temperature. It is given by v = √(γ * P / (ρ + aT)), where a is the temperature coefficient and T is the temperature in Kelvin.

The Laplace correction improves upon Newton's formula by considering the influence of temperature on the density of the medium, providing a more accurate calculation of the velocity of sound waves in air.