In the given image, a wave on a rope is displayed, accompanied by a diagram illustrating the wave's properties. The text above the diagram states that the length \( L \) of the wave is 5 meters.The diagram features a sinusoidal wave pattern with specific segments marked, indicating wavelengths.Below the diagram are two questions related to the properties of this wave:(a) What is the wavelength of this wave?- Input box for the answer in meters.(b) If the frequency of the wave is 4.5 Hz, what is the wave speed?- Input box for the answer in meters per second (m/s).

We will find the wavelength of the wave using the figure and once we have the wavelength using the frequency we will find the speed of the wave.a) From the figure we can see, the length L is exactly equal to 2 complete waves. Hence, if we take wavelength is λ, then we can say: 2λ=L. Given L=5 m, this gives us: 2λ=L2λ=5 mλ=2.5 m Hence, the wavelength of the wave is 2.5 m.b) Given, frequency n=4.5 Hz. Hence, the speed of the wave is: v=nλv=4.5×2.5v=11.25 m/s Hence, the speed of the wave is 11.25 m/s.

Answered: A wave on a rope is shown in the…

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A wave on a rope is shown in the diagram below with L = 5 m. (a) What is the wavelength of this wave? m (b) If the frequency of the wave is 4.5 Hz, what is the wave speed? m/s

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

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.

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In the given image, a wave on a rope is displayed, accompanied by a diagram illustrating the wave's properties. The text above the diagram states that the length \( L \) of the wave is 5 meters.

The diagram features a sinusoidal wave pattern with specific segments marked, indicating wavelengths.

Below the diagram are two questions related to the properties of this wave:

(a) What is the wavelength of this wave?
- Input box for the answer in meters.

(b) If the frequency of the wave is 4.5 Hz, what is the wave speed?
- Input box for the answer in meters per second (m/s).

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