What is the relationship between wave speed and frequency?

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SUMMARY

The relationship between wave speed and frequency is defined by the equations Frequency nU = W / 2π and Speed C = nU * I. In this discussion, the frequency was calculated as 45.80 Hz using a wave frequency of 287.6 rad/s. Consequently, the wave speed was determined to be 8560 m/s by multiplying the frequency by the wavelength (186.9 m). All calculations were performed using SI units, confirming the accuracy of the derived values.

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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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