What type of wave is described by this equation

  • Thread starter subopolois
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    Type Wave
In summary, the given equation x = (0.15 mm) cos (210x-120t) does not fit the standard wave equations for longitudinal or transverse waves. The use of the variable x on both sides suggests a longitudinal wave, but the lack of a separate variable for time t makes it unclear.
  • #1
subopolois
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Homework Statement


x = (0.15 mm) cos (210x-120t)
what type of wave is described by this equation?

Longitudinal, transverse, angular frequency or both transverse and longitudinal

Homework Equations


NA

The Attempt at a Solution


Theres really no calculation. I thinking its longitudinal because it is given as "x=". if it were transverse I am thinking it would be given as "y="
At the same time I am not even sure if I am right
 
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  • #2
Some BS equation you got there.
 
  • #3
Taking the equation literally, with x on both sides, I don't recognise it as any of the usual wave equations. E.g. For a longitudinal wave, the x on the right would be the mean position of an oscillating segment, while the x on its left would be its displacement at time t; i.e. they should be two different variables.
 

FAQ: What type of wave is described by this equation

1. What is the equation for a wave?

The equation for a wave is typically described as a mathematical representation of a physical phenomenon that involves oscillations or vibrations. It is often expressed as a function of time and/or space.

2. How do you determine the type of wave described by an equation?

The type of wave described by an equation can be determined by looking at the variables involved and their relationships. For example, if the equation contains a sine or cosine function, it is likely describing a periodic or sinusoidal wave.

3. What factors can affect the type of wave described by an equation?

The type of wave described by an equation can be affected by various factors such as the medium through which it is propagating, the amplitude and frequency of the wave, and any external forces acting on the system.

4. Can an equation describe multiple types of waves?

Yes, an equation can describe multiple types of waves depending on the parameters and variables involved. For example, a wave equation can describe both transverse and longitudinal waves depending on the direction of oscillation.

5. How does the type of wave described by an equation affect its properties?

The type of wave described by an equation can affect its properties such as its speed, wavelength, and frequency. Different types of waves have unique characteristics and behaviors based on their type, which can impact their interactions with other waves and mediums.

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