What is the angular speed limit, like linear speed limit is c?

In summary, there is both a yes and no answer to whether there exists an angular speed limit similar to the linear speed limit of c in relativistic mechanics. The maximum angular velocity depends on the radius of rotation, with the formula being c/R. However, this limit is not considered fundamental like c is.
  • #1
phydev
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what is the angular speed limit, like linear speed limit is c??

does there exist an angular speed limit, just like we have 'c' in relativistic mechanics?
If Yes, How?
If No, Why?
 
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  • #2


phydev said:
does there exist an angular speed limit, just like we have 'c' in relativistic mechanics?
If Yes, How?
If No, Why?

At the simplest level, it depends on radius. Radius * angular speed < c is required. I doubt there is any other fundamental (rather than practical) limit.
 
  • #3


phydev said:
does there exist an angular speed limit, just like we have 'c' in relativistic mechanics?
If Yes, How?
If No, Why?

Well, obviously no tangential velocity can exceed that of light. The maximum angular velocity would therefore depend on the radius of rotation. So, to answer your question, yes and no; there exists a maximum angular velocity which is determined by radius of rotation, but it is not fundamental the way c is.
 
  • #4


so should it be c/R?? (as I was expecting!)
 

FAQ: What is the angular speed limit, like linear speed limit is c?

1. What is angular speed limit?

The angular speed limit, also known as the rotational speed limit, is the maximum rate at which an object can rotate. It is measured in radians per second (rad/s) or revolutions per minute (rpm).

2. How is the angular speed limit different from the linear speed limit?

The linear speed limit, or the speed of an object in a straight line, is limited by the speed of light (c) according to Einstein's theory of relativity. On the other hand, the angular speed limit is not limited by the speed of light and can vary depending on the object's size and mass.

3. Is there a universal angular speed limit?

No, there is no universal angular speed limit. The maximum angular speed that an object can reach depends on its size, shape, and mass. For example, a neutron star can rotate at speeds close to the speed of light, while a larger object like a planet can only rotate at much slower speeds.

4. Can the angular speed limit be exceeded?

Yes, the angular speed limit can be exceeded in certain cases. For example, if an object is rotating in a vacuum, it can theoretically reach speeds faster than the speed of light. However, this is only possible in theory and has not been observed in real life.

5. How is the angular speed limit measured?

The angular speed limit can be measured using a device called an accelerometer, which measures the rate of change of angular velocity. It can also be calculated using the formula: ω = v/r, where ω is the angular speed, v is the linear speed, and r is the radius of rotation.

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