A stretched string fixed at each end has a mass of 40 g and a length of 6 m. The tension in the string is 43 N. What is the vibration frequency for the third harmonic? o    20.08 Hz      o   53.75 Hz o    6.69 Hz        o   13.39 Hz

A string is fixed at both ends and is vibrating at 136 Hz, which is its third harmonic frequency. The linear density of thestring is 5.50 x 10-3 kg/m, and it is under a tension of 2.9 N. Determine the length of the string.

A piano has the widest range of notes of any instrument. It achieves this large range using both the length and mass density, H, of the strings. In a real piano, most of the strings have roughly the same tension. We shall assume that all the strings in our piano have a tension of T = 760 Newtons. L1 L1 is the longest string L88 is the shortest string L27 Bass strings L26 Line of strike Treble strings L88 Grand Piano Details Grand Piano Simplified We shall assume the following regarding the longest and shortest strings in the piano: String frequency (Hz) length (m) tension (N) L1 27.5 0.163 760 L88 4186.01 0.046 760 Calculate all the following: The linear mass density of the L1 string: µ1 = kg/m %3D The linear mass density of the L88 string: µ88 = kg/m As you likely calculated, the L1 string has a much higher u than the L88 string. If you have ever looked inside a piano you know this to be true. For the next calculation we are going to do something silly. We will calculate how long a…

A stretched string fixed at each end has a mass of 40.0g and a length of 8.00m. The tension in the string is 49.0N. (a) Determine the positions of the nodes and antinodes for the third harmonic. (b) What is the vibration frequency for this harmonic?