How to find the speed and direction of propagation from the wave equation?

In summary, the wave equation is a mathematical equation that relates the frequency, wavelength, and speed of a wave. It can be rearranged to solve for the speed and direction of propagation by plugging in known values for the frequency and wavelength. To use the wave equation, you will need to know the frequency and wavelength of the wave. The units for speed are typically meters per second or kilometers per hour, while the direction of propagation is measured in degrees or radians. The wave equation can be used for all types of waves, including mechanical and electromagnetic waves.
  • #1
kreb
3
0

Homework Statement


how to find the speed and direction of propagation from the wave equation?


Homework Equations


y(x,t)=Aexp{B(x-ct)^2}


The Attempt at a Solution

 
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  • #2
Is this

y(x,t)=[tex]A^{B(x-ct)^2}[/tex] ?
 
  • #3
sorry, but there is an exponential (e) after the "A"
 

Related to How to find the speed and direction of propagation from the wave equation?

1. What is the wave equation?

The wave equation is a mathematical equation that describes the behavior of waves. It relates the wave's frequency, wavelength, and speed.

2. How can the wave equation be used to find the speed and direction of propagation?

The wave equation can be rearranged to solve for the speed and direction of propagation by plugging in known values for the frequency and wavelength of the wave.

3. What information is needed to use the wave equation to find the speed and direction of propagation?

To use the wave equation, you will need to know the frequency and wavelength of the wave. These can be measured or calculated using other equations, such as the period-frequency relationship and the speed-frequency-wavelength relationship.

4. What are the units for the speed and direction of propagation in the wave equation?

The units for speed are typically meters per second (m/s) or kilometers per hour (km/h), while the direction of propagation is typically measured in degrees or radians.

5. Can the wave equation be used for all types of waves?

Yes, the wave equation can be used for all types of waves, including mechanical waves (such as sound and water waves) and electromagnetic waves (such as light and radio waves).

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