Table 1.19 Frequencies of Notes Note Frequency (Hz) 262 C* or D 277 D 294 D' or E 311 E 330 F 349 Fi or G 370 G 392 G' or A 415 A 440 A' or B 466 B 494 C (next octave) 524 33. and x 35. x= 6 Table 1.20 Tuning Fork Data Time (s) Pressure Time (s) Pressure 0.0002368 1.29021 0.0049024 -1.06632 0.0005664 1.50851 0.0051520 0.09235 0.0008256 1.51971 0.0054112 1.44694 0.0010752 1.51411 0.0056608 1.51411 0.0013344 1.47493 0.0059200 1.51971 0.0015840 0.45619 0.0061696 1.51411 0.0018432 -0.89280 0.0064288 1.43015 0.0020928 -1.51412 0.0066784 0.19871 0.0023520 -1.15588 0.0069408 -1.06072 0.0026016 -0.04758 0.0071904 -1.51412 0.0028640 1.36858 0.0074496 -0.97116 0.0031136 1.50851 0.0076992 0.23229 0.0033728 1.51971 0.0079584 1.46933 0.0036224 1.51411 0.0082080 1.51411 0.0038816 1.45813 0.0084672 1.51971 0.0041312 0.32185 0.0087168 1.50851 0.0043904 -0.97676 0.0089792 1.36298 0.0046400 -1.51971

A musical note like that produced with a tun- ing fork or pitch meter is a pressure wave. Table 1.19 gives fre- quencies (in Hz) of musical notes on the tempered scale. The pressure versus time tuning fork data in Table 1.20 were col- lected using a CBLTM and a microphone. (pictures added)

(a) Find a sinusoidal regression equation for the data in Table
1.20 and superimpose its graph on a scatter plot of the data.
(b) Determine the frequency of and identify the musical note
produced by the tuning fork.