Wave speed is the rate at which a wave travels through a medium. It is typically measured in meters per second (m/s).
Wave speed is calculated by dividing the wavelength (distance between two consecutive peaks or troughs of a wave) by the period (time it takes for one complete wave cycle). This can be represented by the equation v = λ/T, where v is wave speed, λ is wavelength, and T is period.
d'Alembert's formula is an equation used to calculate the displacement of a wave at a specific point in time and space. It takes into account the wave speed, wavelength, and initial displacement of the wave.
d'Alembert's formula is commonly used in fields such as physics and engineering to analyze the behavior of waves and predict their movement through different mediums. It is also used in the study of acoustics and fluid dynamics.
d'Alembert's formula assumes that the medium through which the wave travels is homogeneous and isotropic (uniform in all directions). It also does not take into account factors such as dispersion (the separation of different wavelengths of a wave) and non-linear effects that may occur in certain types of waves.