Fixed and Moving Reference Frames for adding speeds

In summary, Adding velocities of different coordinate systems can be done by subtracting the carrier velocity from the local velocity of the planet gear. This method is derived empirically and is only valid for small relative velocities. For larger relative velocities, the Lorentz transformation must be used.
  • #1
bugatti79
794
1
Hi Folks,

I have some misunderstanding how one can add velocities of different coordinate systems.

Consider a planet gear rotating about its own axis and also rotating on its carrier so that the so called velocity of the planet gear relative to the carrier is the planet local velocity minus the carrier velocity.

How can one add to different velocities that are at different points in space?
is there a mathematical proof?
 
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1. What is a fixed reference frame?

A fixed reference frame is a specific point or origin from which all other measurements and observations are made. It does not change or move in relation to the objects or events being observed.

2. How is a moving reference frame different from a fixed reference frame?

A moving reference frame is a point that is constantly changing and moving in relation to the objects or events being observed. This can make measurements and observations more complex as they must take into account the movement of the reference frame.

3. Why is it important to consider reference frames when adding speeds?

Reference frames are important because they provide a point of comparison for measurements and observations. When adding speeds, it is necessary to use the same reference frame for all objects in order to accurately calculate their combined speed.

4. Can speeds be added in different reference frames?

No, speeds cannot be added in different reference frames. In order to accurately calculate the combined speed of multiple objects, all measurements must be made using the same reference frame. Adding speeds from different reference frames would result in an incorrect calculation.

5. How does the concept of relativity relate to fixed and moving reference frames?

The concept of relativity states that all motion is relative and depends on the observer's frame of reference. Fixed and moving reference frames are used to establish a consistent point of comparison for measurements and observations, taking into account the relative motion between objects and the observer.

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