guitar string is designed to have the following properties: Force of tension = 70 N (when properly installed on a guitar) Mass = 8 kg Length = 0.65 m Recall that the speed of sound on a string is given by: Where v is the speed of sound, F is the force of tension, m is the mass of the string, and l is the length.  What is the frequency of the second harmonic on this guitar 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…

Problem 1 In pipe A, the ratio of a particular harmonic frequency to the next lower harmonic frequency is 1.2. In pipe B, the ratio of a particular harmonic frequency to the next lower harmonic frequency is 1.4. How many open ends are in pipe A and pipe В?

Two identical piano wires have a fundamental frequency of 555 Hz when kept under the same tension. What fractional increase in the tension of one wire will lead to the occurrence of 7 beats/s when both wires oscillate simultaneously? Number i Units No units