Homework Help is Here – Start Your Trial Now!
Science
Physics
Part C The frequency of the fundamental of the guitar string is 320 Hz. At what speed do waves move along that string? Express your answer in meters per second. ▸ View Available Hint(s) V= [1] ΑΣΦ yg ? m/s.

Part C The frequency of the fundamental of the guitar string is 320 Hz. At what speed do waves move along that string? Express your answer in meters per second. ▸ View Available Hint(s) V= [1] ΑΣΦ yg ? m/s.

University Physics Volume 1
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter16: Waves
Section: Chapter Questions
Problem 27CQ: Many of the topics discussed in this chapter are useful beyond the topics of mechanical waves. It is...
See similar textbooks
icon
Related questions
icon
Concept explainers
Question
Learning Goal: To understand standing waves, including calculation of X and f, and to learn the physical meaning behind some musical terms. The columns in the figure (Figure 1) show the instantaneous shape of a vibrating guitar string drawn every 1 ms. The guitar string is 60 cm long. The left column shows the guitar string shape as a sinusoidal traveling wave passes through it. Notice that the shape is sinusoidal at all times and specific features, such as the crest indicated with the arrow, travel along the string to the right at a constant speed. The right column shows snapshots of the sinusoidal standing wave formed when this sinusoidal traveling wave passes through an identically shaped wave moving in the opposite direction on the same guitar string. The string is momentarily flat when the underlying traveling waves are exactly out of phase. The shape is sinusoidal with twice the original amplitude when the underlying waves are momentarily in nhaco Thic nattern is called a standing wave heralice.no Figure Time Traveling Wave 0 ms. 1 ms. 2 ms 3 ms y I x= 0cm Standing Wave 1 of 3 > BIS. I x= x= 60 cm 0 cm x= X X 60 cm Waves of all wavelengths travel at the same speed v on a given string. Traveling wave velocity and wavelength are related by v=Xf. where v is the wave speed (in meters per second), A is the wavelength (in meters), and f is the frequency [in inverse seconds, also known as hertz (Hz)]. Since only certain wavelengths fit properly to form standing waves on a specific string, only certain frequencies will be represented in that string's standing wave series. The frequency of the nth pattern is fn == (2L/n) = nz = Note that the frequency of the fundamental is f₁ = v/(2L), so f₁ can also be thought of as an integer multiple of fi: fn = nf₁. Part C The frequency of the fundamental of the guitar string is 320 Hz. At what speed v do waves move along that string? Express your answer in meters per second. ▸ View Available Hint(s) v= Submit VE ΑΣΦ 1 Part D Complete previous part(s) Part E Complete previous part(s) Provide Feedback pe ? m/s Next >
Transcribed Image Text:Learning Goal: To understand standing waves, including calculation of X and f, and to learn the physical meaning behind some musical terms. The columns in the figure (Figure 1) show the instantaneous shape of a vibrating guitar string drawn every 1 ms. The guitar string is 60 cm long. The left column shows the guitar string shape as a sinusoidal traveling wave passes through it. Notice that the shape is sinusoidal at all times and specific features, such as the crest indicated with the arrow, travel along the string to the right at a constant speed. The right column shows snapshots of the sinusoidal standing wave formed when this sinusoidal traveling wave passes through an identically shaped wave moving in the opposite direction on the same guitar string. The string is momentarily flat when the underlying traveling waves are exactly out of phase. The shape is sinusoidal with twice the original amplitude when the underlying waves are momentarily in nhaco Thic nattern is called a standing wave heralice.no Figure Time Traveling Wave 0 ms. 1 ms. 2 ms 3 ms y I x= 0cm Standing Wave 1 of 3 > BIS. I x= x= 60 cm 0 cm x= X X 60 cm Waves of all wavelengths travel at the same speed v on a given string. Traveling wave velocity and wavelength are related by v=Xf. where v is the wave speed (in meters per second), A is the wavelength (in meters), and f is the frequency [in inverse seconds, also known as hertz (Hz)]. Since only certain wavelengths fit properly to form standing waves on a specific string, only certain frequencies will be represented in that string's standing wave series. The frequency of the nth pattern is fn == (2L/n) = nz = Note that the frequency of the fundamental is f₁ = v/(2L), so f₁ can also be thought of as an integer multiple of fi: fn = nf₁. Part C The frequency of the fundamental of the guitar string is 320 Hz. At what speed v do waves move along that string? Express your answer in meters per second. ▸ View Available Hint(s) v= Submit VE ΑΣΦ 1 Part D Complete previous part(s) Part E Complete previous part(s) Provide Feedback pe ? m/s Next >
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Longitudinal and transverse waves
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
College Physics
College Physics
Physics
ISBN:
9781938168000
Author:
Paul Peter Urone, Roger Hinrichs
Publisher:
OpenStax College
Inquiry into Physics
Inquiry into Physics
Physics
ISBN:
9781337515863
Author:
Ostdiek
Publisher:
Cengage
SEE MORE TEXTBOOKS