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20Exam %202 - guitar osin ng Downloads/CPSC06%20Practice% Do not get caught up in the physics of this problem. The programming part of the problem starts on the 3rd page A guitar string has a number of frequencies at which it will naturally vibrate. These natural frequencies are known as the harmonics of the guitar string. As mentioned earlier, the natural frequency at the string and the length of the string. Each of these natural frequencies or harmonics is associated with a standing wave pattern. The specifics of the patterns and their formation were discussed in Lesson 4. For now, we will merely summarize the results of that discussion. The graphic below depicts the standing wave patterns for the lowest three harmonics or frequencies of a guitar string. which an object vibrates at depends upon the tension of the string the linear density of Lowest Three Natural Frequencies of a Guitar String lst Harmonic 2nd Harmonic Harmonic 2. -2L Problem-Solving Scheme The wavelength of the standing wave for any given harmonic is related to the length of the string and vice versa). If the length of a guitar string is known, the wavelength associated with each of the harmonic frequencies can be found. Thus, the length-wavelength relationships and the wave equation (speed- frequency wavelength) can be combined to perform calculations predicting the length of string required to produce a given natural frequency. And conversely, calculations can be performed to predict the natural frequencies produced by a known length of string. Each of these calculations requires knowledge of the speed of a wave in a string. The graphic below depicts the relationships between the key variables in such calculations. These relationships will be used to assist in the solution to problems involving standing waves in musical instruments A9 CPSCO6 Practic....p F6 F8 F9