The wire has mass 250g and is tied down at both ends. It has a length of 12.50m and a fundamental frequency of 25.0 Hz. It has linear mass density.
Sound travels at 344m/s in air. Calculate the frequency of the sound waves produced when the wire vibrates at its fifth harmonic frequency.
The Attempt at a Solution
Just from drawing the wave, I think the wavelength of the vibration on the wire is 12.5/3.
From v=f lamda, since we know the fundamental frequency and its wavelength at this point (25m), the wire is moving at 625m/s. Which seems very fast.
My problem is, I have no idea how these relate to the longitudinal wave produced in air! Velocities aren't the same. Wavelengths are, I think...