If tension is maintained on a stretched string of length 0.6m, such that its fundamental frequency of 220Hz is excited, determine the velocity of the transv...

Answer Details

The velocity of a wave traveling along a stretched string can be calculated using the formula: v = fλ where v is the velocity, f is the frequency of the wave, and λ is the wavelength. For a stretched string, the fundamental frequency is given by: f1 = (1/2L)√(T/μ) where L is the length of the string, T is the tension in the string, and μ is the linear density of the string. We can rearrange this equation to solve for the linear density: μ = (T/4)(L/f1)^2 Now we can substitute this expression for μ into the wavelength equation: λ = 2L/n where n is the harmonic number (in this case, n = 1 for the fundamental frequency). Substituting for μ and λ in the velocity equation, we get: v = f1(2L/1) = 2f1L So we just need to plug in the given values: L = 0.6 m f1 = 220 Hz v = 2(220 Hz)(0.6 m) = 264 m/s Therefore, the velocity of the transverse wave in the string is 264 m/s. is the correct answer.