1. The problem statement, all variables and given/known data A new musical instrument is fashioned from a metal can of length L and diameter L/10, open at one end, with a string stretched across the diameter of the open end. The string is tensioned such that the 3rd harmonic frequency of the vibrating string matches the fundamental frequency of the can. a) What is the mathematical relationship between the speed vt of transverse waves on the string and the speed va of longitudinal waves in the can? b) What happens to the sound produced by the instrument if the tension in the string is doubled? Describe what happens to both the pitch and the intensity, and defend your answer with an argument as quantitative. 2. Relevant equations Fn = nv/4L, v=f *lambda 3. The attempt at a solution a) 3v/4L=1v/4L Fcan= Fstring b) The frequency goes up. I need help with these two questions.