A piano wire is made of steel, with a diameter of 1.04 mm and a density of 7860 kg/m3. The wire is stretched inside the piano to a tension of 400 N.

  1. How fast do vibrations travel down this wire?
  2. This particular wire is 0.6 m long. How long does it take a wave to travel from one end to the other, and then back again?
  3. Can you guess the note this wire will produce?
  4. Leopold demands that this wire produce a perfect A-note, with frequency 220 Hz. What do you do?