Question

The transverse displacement of a stretched string from equilibrium as a function of time and position is given by y = 0.13 cos(3x - 27t). x and y are in m; t is in s. The wavelength is ________.

Answer 1

The wavelength of the given wave equation is 2π/3.

Step-by-step explanation:

The given equation for the transverse displacement of the stretched string is y = 0.13 cos(3x - 27t). In this equation, the coefficient of x represents the wave number (k) and the coefficient of t represents the angular frequency (ω). The wavelength (λ) of the wave can be calculated using the formula λ = 2π/k.

For the given equation, k = 3, so the wavelength is λ = 2π/3.