The wave function for a travelling wave on a taut string is: (SI units) y(x,t)=0.05 sen (4πx — 8πt) 1. Determine the characteristic magnitudes of the wave (amplitude, angular frequency, wave number, wavelength, frequency, period, propagation velocity)

The wave function for a travelling wave on a taut string is: (SI units) y(x,t)=0.05 sen (4πx — 8πt) 1. Determine the characteristic magnitudes of the wave (amplitude, angular frequency, wave number, wavelength, frequency, period, propagation velocity)

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter17: Traveling Waves

Section: Chapter Questions

Problem 7PQ

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Concept explainers

Stretched string

A stretched string is a wire which is made up of any metal that must have a larger length compared to its thickness. The ends of the wire are fixed, and when they oscillate or are plucked, it produces two reflected transverse waves of the same frequency and same amplitude. The waves or pulses are traveling in alternate directions and superimpose with one another. This waveform is named standing or stationary waves.

Question

The wave function for a travelling wave on a taut string is: (SI units)

y(x,t)=0.05 sen (4πx — 8πt)

1. Determine the characteristic magnitudes of the wave (amplitude, angular frequency, wave number, wavelength, frequency, period, propagation velocity)

2. Derive the general expressions for the velocity and transversal acceleration of a element of the chord and its maximum values.

3. Determine the values of the elongation, velocity and acceleration of a point located 1 m from the origin at time t = 3 s

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