Problem 23: Using special téchniques 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 oscilloscope, we find the violinist plays a note with frequency f= 780 Hz in figure (a). b. Otheexpertta.com How many nodes does the standing wave in figure (a) have? N= sin() cos() tan() 8 9 HOME cotan() acos() sinh() cotanh() ODegrees O Radians asin() E 4 5 atan() acotan() 1 2 3 cosh() tanh() + END VO BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Part (b) How many antinodes does the standing wave in figure (a) have? 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?

Problem 23: Using special téchniques 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 oscilloscope, we find the violinist plays a note with frequency f= 780 Hz in figure (a). b. Otheexpertta.com How many nodes does the standing wave in figure (a) have? N= sin() cos() tan() 8 9 HOME cotan() acos() sinh() cotanh() ODegrees O Radians asin() E 4 5 atan() acotan() 1 2 3 cosh() tanh() + END VO BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Part (b) How many antinodes does the standing wave in figure (a) have? 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?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Interference of sound

Seiche

A seiche is an oscillating standing wave in a body of water. The term seiche pronounced saysh) can be understood by the sloshing of water back and forth in a swimming pool. The same phenomenon happens on a much larger scale in vast bodies of water including bays and lakes. A seizure can happen in any enclosed or semi-enclosed body of water.

Question

Problem 23: 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 oscilloscope, we find the violinist plays a note
with frequency f= 780 Hz in figure (a).
b.
Otheexpertta.com
How many nodes does the standing wave in figure (a) have?
N=
sin()
cos()
tan()
8
9
НОМE
cotan()
asin()
acos()
E
4
5
6
acotan()
sinh()
cotanh()
atan()
1
2
3
cosh()
ODegrees O Radians
tanh()
+
END
VO BACKSPACE
DEL CLEAR
Submit
Hint
Feedback
I give up!
Part (b) How many antinodes does the standing wave in figure (a) have?
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?
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?
Part (e) In terms of the fundamental frequency f1, what is the frequency of the note the violinist is playing in figure (c)?
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.
Part (g) What is the frequency, in hertz, of the note the violinist is playing in figure (d)?

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