Problem 7: The D-string on a properly tuned guitar produces a tone with a fundamental frequency of 146.8 Hz. The oscillating length of a D-string on a certain guitar is 0.62 m. Part (a)_What is the wavelength, in meters, of the standing wave in the D-string when it is oscillating at its third harmonic (also called its second overtone)? ie Summary 13 = 74.8 Deduction Potemual sin() cos() tan() 8 9 НОМЕ Submissions E 1^ Attempts remaining: 9 er attempt) cotan() asin() acos() 4 5 6 atan() acotan() sinh() 1| 2 * 3 detailed view cosh() tanh() cotanh() END O Degrees O Radians VOI BACKSPACE CLEAR Submit Hint Feedback I give up! Hints deduction per hint. Hints remaining: 3 Feedback. ieduction per feedback. E Part (b) Determine the frequency, in hertz, of the third harmonic of the tone produced by the properly tuned D-string. f3 = 0.413 X Attempts Remain 26 Part (c) The guitarist shortens the oscillating length of the properly tuned D-string by 0.11 m by pressing on the string with a finger. What is the fundamental frequency, in hertz, of the new tone that is produced when the string is plucked?

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Problem 7: The D-string on a properly tuned guitar produces a tone with a fundamental frequency of 146.8 Hz. The
oscillating length of a D-string on a certain guitar is 0.62 m.
Part (a)_What is the wavelength, in meters, of the standing wave in the D-string when it is oscillating at its third harmonic (also called its
second overtone)?
ie Summary
13 = 74.8
Deduction
Potemual
sin()
cos()
tan()
8
9
НОМЕ
Submissions
E 1^
Attempts remaining: 9
er attempt)
cotan()
asin()
acos()
4
5
6
atan()
acotan()
sinh()
1| 2
*
3
detailed view
cosh()
tanh()
cotanh()
END
O Degrees O Radians
VOI BACKSPACE
CLEAR
Submit
Hint
Feedback
I give up!
Hints
deduction per hint. Hints remaining: 3
Feedback. ieduction per feedback.
E Part (b) Determine the frequency, in hertz, of the third harmonic of the tone produced by the properly tuned D-string.
f3 = 0.413 X Attempts Remain
26 Part (c) The guitarist shortens the oscillating length of the properly tuned D-string by 0.11 m by pressing on the string with a finger. What
is the fundamental frequency, in hertz, of the new tone that is produced when the string is plucked?
Transcribed Image Text:Problem 7: The D-string on a properly tuned guitar produces a tone with a fundamental frequency of 146.8 Hz. The oscillating length of a D-string on a certain guitar is 0.62 m. Part (a)_What is the wavelength, in meters, of the standing wave in the D-string when it is oscillating at its third harmonic (also called its second overtone)? ie Summary 13 = 74.8 Deduction Potemual sin() cos() tan() 8 9 НОМЕ Submissions E 1^ Attempts remaining: 9 er attempt) cotan() asin() acos() 4 5 6 atan() acotan() sinh() 1| 2 * 3 detailed view cosh() tanh() cotanh() END O Degrees O Radians VOI BACKSPACE CLEAR Submit Hint Feedback I give up! Hints deduction per hint. Hints remaining: 3 Feedback. ieduction per feedback. E Part (b) Determine the frequency, in hertz, of the third harmonic of the tone produced by the properly tuned D-string. f3 = 0.413 X Attempts Remain 26 Part (c) The guitarist shortens the oscillating length of the properly tuned D-string by 0.11 m by pressing on the string with a finger. What is the fundamental frequency, in hertz, of the new tone that is produced when the string is plucked?
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