(13%) Problem 2: Using special techniques called string harmonics (or \"flageole
ID: 1731804 • Letter: #
Question
(13%) Problem 2: Using special techniques called string harmonics (or "flageolet tones ), stringed instruments can produce the first few overtones of the harmonic series. While a violinist is playing some of these harmonics for us, we take a picture of the vibrating string (see figures). Using an oscilliscope, we find the violinist plays a note with frequencyf- 760 Hz in figure (a) Otheexpertta.com 14% Part (a) How many nodes does the standing wave in figure (a) have? 14% Part (b) How many antinodes does the standing wave in figure (a) have? 14% Part (c) The string length of a violin is about L 33 cm. What is the wavelength of the standing wave in figure (a) in meters? 14% Part (d) The fundamental frequency is the lowest frequency that a string can vibrate at (see figure b) what is the fundamental frequency for our violin in Hz? 14% Part (e) In terms of the fundamental frequencyf, what is the frequency of the note the violinist is playing in figure (c)? 14% Part (f) Write a general expression for the frequency of any note the violinist can play in this manner, in terms of the fundamental frequency fi and the number of antinodes on the standing wave A. * 14% Part(g) What is the frequency, in hertz, of the note the violinist is playing in figure (d)? 190 Grade Summary Deductions 0% Potential 100%Explanation / Answer
e) fc = 2f1
fc = 2*760/4 = 380 Hz
f) fA = f1*A
g) fd = 8*f1
fd = 8*760/4 = 1520 Hz
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.