What is the relationship between wave speed and frequency?

[Fra Ser Mur Chie]

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

 

[PeroK]

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?

 

[Cutter Ketch]

Or equivalently, rethink what you used for I.

 

[haruspex]

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?