What is the relationship between wave speed and frequency?

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Homework Help Overview

The discussion revolves around the relationship between wave speed and frequency, specifically analyzing a traveling wave represented by a mathematical equation. Participants are exploring the calculations related to wave speed and frequency using given parameters.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are attempting to calculate wave speed using frequency and wavelength, questioning the values used in their calculations. There are suggestions to reconsider the interpretation of the wave parameters and the relationships involved.

Discussion Status

The discussion is ongoing, with participants raising questions about the accuracy of the values used for frequency and wavelength. Some guidance has been offered regarding rethinking certain variables, indicating a productive exploration of the topic.

Contextual Notes

Participants are working within the constraints of a homework assignment, with all quantities specified in SI units. There is an emphasis on ensuring the correct interpretation of the wave equation and its components.

Fra Ser Mur Chie
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Homework Statement
A travelling wave is represented by the equation

y = 5 sin2π(287.6 * t - x / 186.9)

All the quantities in this equation are in SI units.

What is the value of the speed of the wave, in m/s?
Relevant Equations
Speed C = nU * I
Frequency nU = W / 2 * pi
Frequency nU = W/2pi

= 287.6/6.28
= 45.796 = 45.80

Speed C = nU * I

= 45.80 * 186.9
= 8560 m/s
 
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Fra Ser Mur Chie said:
Homework Statement:: A traveling wave is represented by the equation

y = 5 sin2π(287.6 * t - x / 186.9)

All the quantities in this equation are in SI units.

What is the value of the speed of the wave, in m/s?
Relevant Equations:: Speed C = nU * I
Frequency nU = W / 2 * pi

Frequency nU = W/2pi

= 287.6/6.28
= 45.796 = 45.80

Speed C = nU * I

= 45.80 * 186.9
= 8560 m/s

Are you sure? What is the value of ##w## have if you look more closely?
 
Or equivalently, rethink what you used for I.
 
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There's an easy way to think about this question. Suppose you were to run alongside the wave at the wave's speed, v, so that the height of the wave looks constant to you. What would your x displacement be at time t? What would the height of the wave be at that x and t combination?
 
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