Need help with argument about wave equation

In summary, the symbols v and c can both be used to represent the speed of a wave, but c specifically refers to the speed of light in a vacuum. Using c for other types of waves may cause confusion and is not recommended.
  • #1
Pseudo Epsilon
103
0
in the equation v=f[tex] /lambda [/tex] can you use c instead of v for wavespeed?
 
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  • #2
Hi Pseudo Epsilon! :smile:
Pseudo Epsilon said:
in the equation v=f[itex] \lambda [/itex] can you use c instead of v for wavespeed?

If c = v, yes.

(ie electromagnetic waves in a vacuum)
 
  • #3
but I've heard it used for other things. Cant it EVER be used for non-em waves? Would it e incorect?
 
  • #4
Pseudo Epsilon said:
but I've heard it used for other things. Cant it EVER be used for non-em waves? Would it e incorect?

It depends on whether or not you are using c to mean the speed of light in a vacuum. If you are then you can't use it as that isn't the speed of the wave. If you are using it as a general speed of a wave and not ##3 \times10^8## then you could use it in the same way as you could use any other symbol, however using c does risk confusion.
 
  • #5
and c-sickness! :smile:

all those waves :redface:
 
  • #6
lol.thanks
 

1. What is the wave equation?

The wave equation is a mathematical formula that describes the behavior of waves in various physical systems. It is a second-order partial differential equation that relates the second derivative of a wave to its spatial and temporal properties.

2. How is the wave equation used in science?

The wave equation is used in many different fields of science, including physics, engineering, and acoustics. It is particularly useful in studying the behavior of electromagnetic waves, sound waves, and other types of waves in different environments.

3. What is the significance of the wave equation?

The wave equation is significant because it allows scientists to accurately model and predict the behavior of waves in different systems. This helps in understanding various natural phenomena, designing efficient technologies, and solving complex problems in different scientific disciplines.

4. Can the wave equation be solved analytically?

Yes, the wave equation can be solved analytically for simple systems with specific boundary conditions. However, for more complex systems, numerical methods are often used to solve the equation and obtain approximate solutions.

5. What are some real-life applications of the wave equation?

The wave equation has many practical applications, such as predicting and analyzing ocean waves, designing earthquake-resistant buildings, creating efficient acoustic systems, and understanding the behavior of light in different media. It is also used in medical imaging technologies such as MRI and ultrasound.

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