Sound waves from a basketball. Refer to the American Journal of Physics(June 2010) experiment on sound waves produced from striking a basketball, Exercise. Recall that the frequencies of sound wave echoes resulting from striking a hanging basketball with a metal rod were recorded. Classify the random variable, frequency (measured in hertz) of an echo, as discrete or continuous.
Sound waves from a basketball. An experiment was conducted to characterize sound waves in a spherical cavity (American Journal of Physics, June 2010). A fully inflated basketball, hanging from rubber bands, was struck with a metal rod, producing a series of metallic-sounding pings. Of particular interest were the frequencies of sound waves resulting from the first 24 resonances (echoes). A mathematical formula, well known in physics, was used to compute the theoretical frequencies. The data are saved in the BBALL file. These frequencies (measured in hertz) are listed in the table. Use a graphical method to describe the distribution of sound frequencies for the first 24 resonances.
Resonance | Frequency |
1 | 979 |
2 | 1572 |
3 | 2113 |
4 | 2122 |
5 | 2659 |
6 | 2795 |
7 | 3181 |
8 | 3431 |
9 | 3638 |
10 | 3694 |
11 | 4038 |
12 | 4203 |
13 | 4334 |
14 | 4631 |
15 | 4711 |
16 | 4993 |
17 | 5130 |
18 | 5210 |
19 | 5214 |
20 | 5633 |
21 | 5779 |
22 | 5836 |
23 | 6259 |
24 | 6339 |
Based on Russell, D. A. “Basketballs as spherical acoustic cavities.” American Journal of Physics, Vol. 78, No. 6, June 2010 (Table I).
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