Chimes

## Chimes - Length vs. Frequency

Updated 08/13/04

Physics students took a field trip to the band room. There they measured the length of the chimes and recorded the sound of each chime using the TI-82 graphing calculator and a CBL. The signals were processed through MATLAB and the frequencies determined. Graphs of the results are given below.

There seems to be a strong inverse square correlation. A similar result was obtained earlier in the week when the students graphed the length of a tuning fork tine vs. its frequency.

A graph of the reported frequency vs. length is included. The inverse square result still holds, but the slope is different. Given results from the musical instruments, we know that the 99 data points is not really sufficient to get the true frequencies. We plan to repeat the experiment with the TI-83 in the future.

```
Data collected using a CBL and TI-82 calculator

Sample size - 99 points

```

NoteLength(m)Frequency 1 (Hz)Frequency 2 (Hz)Frequency 3 (Hz)Frequency 4 (Hz)
C1.58-313.1560.6-
D1.46--626.3-
E1.42191.9-686.91000
F1.36252.5439.4752.51060.6
G1.27252.5500813.11186.9
A1.21287.9560.6939.41318.2
B1.15313.1626.31000-
C1.10343.4686.91252.5-
C#1.05373.7686.91126.31686.9
D1.05368.7752.51217.2-
D#0.99414.1813.11313.1-
E0.95439.4873.71373.7-

### Graph of chime length^-2 vs given fundamental frequency

Graphs created using Vernier's Graphical Analysis