1. Fundamental Frequency of a String (The First Harmonic)
Elliott

2. rearrange to make the fundamental frequency, f0 the subject of the formula:

4. Worked Example
A string is 2.3 m long between two fixed point.  A length of 2.50 m has a mass 53.0 g.  It is under a tension of 25.6 N.  Calculate the first harmonic, and give your answer to an appropriate number of significant figures.

5. Check Your Progress
A length of wire has a mass of 1.25 g for a length of 1.60 m. 
In an experiment to measure mains frequency that is shown above, it is required to fit between two fixed points 1.15 m apart and is placed between the poles of a magnet.  It is found to resonate at a first harmonic with a frequency of 50.0 Hz. 
(a) Calculate the tension needed.
(b) Calculate the speed of the waves in this wire.

6. Answer