Measuring Wave Speed: Reference Frame Considerations

In summary, the wave equation shows that the speed of wave propagation, denoted by v, is measured in both classical physics and relativity. In classical physics, v represents the speed of the wave propagation in the lab frame, such as for a wave on a string. However, it is not clear why the lab frame is chosen as the reference frame. In the case of electromagnetic waves, the choice of reference frame is not as straightforward.
  • #1
Pushoam
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In the wave equation## \frac {\partial^2 \psi} {\partial x^2}=\frac{1}{v^2}\frac{\partial^2 \psi}{\partial t^2}\tag{1}##, v is the speed of the wave propagation.
With respect to which reference frame is this speed measured( in general)?
 
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  • #2
What is the context of your question, classical physics, relativity or quantum mechanics?
 
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  • #3
classical physics and relativity
 
  • #5
jedishrfu said:
What do you think v represents for each one then?
v represents speed of the wave propagation.
For example, if we take wave on a string, then the speed is measured from the lab frame.
But how do we know that the speed should be measured from the lab frame( just by knowing the wave equation)?
And why can't we decide the reference frame in case of electromagnetic waves?
 

Related to Measuring Wave Speed: Reference Frame Considerations

1. What is a reference frame and why is it important when measuring wave speed?

A reference frame is a coordinate system used to measure the position and motion of objects. It is important when measuring wave speed because it allows us to compare the speed of the wave relative to a fixed point. This helps us to accurately measure the speed of the wave and understand its motion.

2. How does the reference frame affect the measurement of wave speed?

The reference frame can affect the measurement of wave speed because it determines the point of reference from which the wave's speed is measured. If the reference frame is moving, it can affect the perceived speed of the wave. Therefore, it is important to choose a fixed and consistent reference frame when measuring wave speed.

3. Can multiple reference frames be used to measure wave speed?

Yes, multiple reference frames can be used to measure wave speed. However, it is important to ensure that all frames are fixed and consistent for accurate measurements. The choice of reference frame can also depend on the specific application or situation being studied.

4. How does the medium through which the wave travels affect the reference frame choice?

The medium through which the wave travels can affect the reference frame choice because it can influence the speed of the wave. For example, in a medium with a higher density, the wave may travel slower. Therefore, the reference frame should be chosen based on the properties of the medium to accurately measure the speed of the wave.

5. Are there any limitations to using reference frames when measuring wave speed?

One limitation of using reference frames when measuring wave speed is that it can be challenging to accurately measure the speed of the wave in a moving reference frame. Additionally, the choice of reference frame can also influence the perceived speed of the wave. Therefore, it is important to carefully consider and select an appropriate reference frame for accurate measurements.

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