The function y(x, t) = A cos(kx - wt) describes a traveling wave on a taut string with the x-axis parallel to the string. If the wavelength of the wave λ = 0.61 m and w = 18.9π/s, what is the speed of the traveling wave? Express your answer in m/s, to at least one digit after the decimal point.

The function y(x, t) = A cos(kx - wt) describes a traveling wave on a taut string with the x-axis parallel to the string. If the wavelength of the wave λ = 0.61 m and w = 18.9π/s, what is the speed of the traveling wave? Express your answer in m/s, to at least one digit after the decimal point.

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 12PQ: The equation of a harmonic wave propagating along a stretched string is represented by y(x, t) = 4.0...

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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 function y(x, t) = A cos(kx - wt) describes a traveling wave on a taut string with the x-axis
parallel to the string.
If the wavelength of the wave λ = 0.61 m and w = 18.9π/s, what is the speed of the traveling wave?
Express your answer in m/s, to at least one digit after the decimal point.

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