Are These Valid Galilean Transformations in a 1D System?

In summary, a Galilean transformation is a mathematical tool used in classical physics to convert measurements and coordinates between frames of reference with constant relative velocities. It differs from a Lorentz transformation in that it is only valid for low velocities and non-relativistic situations. It is commonly used in classical mechanics to simplify calculations, but it has limitations such as not accounting for relativity, non-linear motion, and acceleration or rotation.
  • #1
gijoe
6
0
in a 1 d system.

x measured WRT an inertial frame k, are the following, valid Galilean transformations:

x=x'- sin(wt)
and
x=x'3Not sure where to go with this...
I can't find any relevant material anywhere.
 
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  • #2
Galilean to me would imply a trasformation between inertial (no accleration) reference frames

this would mean the dervative of one wrt the other would be constant & represent teh relative velocity

neither of the examples appear to satisfy that criteria
 

FAQ: Are These Valid Galilean Transformations in a 1D System?

1. What is a Galilean transformation?

A Galilean transformation is a mathematical tool used in classical physics to convert measurements and coordinates between different frames of reference that are moving at constant velocities relative to each other.

2. How is a Galilean transformation different from a Lorentz transformation?

A Galilean transformation only applies to situations where the relative velocities between frames of reference are much smaller than the speed of light, while a Lorentz transformation is used for situations involving high velocities and the effects of relativity.

3. When is a Galilean transformation used?

A Galilean transformation is used in classical mechanics to simplify calculations and equations for objects moving at non-relativistic speeds.

4. Can a Galilean transformation be used for all types of motion?

No, a Galilean transformation is only valid for motion that is linear and does not involve acceleration or rotation. It also assumes that the measurements are made in an inertial frame of reference.

5. What are the limitations of a Galilean transformation?

The main limitation of a Galilean transformation is that it does not account for the effects of relativity, which become significant at high velocities. It also cannot be used for non-linear motion or situations where there is acceleration or rotation.

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