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

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An angular speed limit exists, analogous to the linear speed limit of light (c), but it is not a fundamental constant. The maximum angular velocity is contingent upon the radius of rotation, with the relationship defined as radius multiplied by angular speed being less than c. While there is a practical limit to angular speed, it is not as absolute as the speed of light. Therefore, the maximum angular velocity can be expressed as c divided by the radius (c/R). This indicates that while angular speed is limited, it is fundamentally different from the linear speed limit of light.
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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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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.
 


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.
 


so should it be c/R?? (as I was expecting!)
 
MOVING CLOCKS In this section, we show that clocks moving at high speeds run slowly. We construct a clock, called a light clock, using a stick of proper lenght ##L_0##, and two mirrors. The two mirrors face each other, and a pulse of light bounces back and forth betweem them. Each time the light pulse strikes one of the mirrors, say the lower mirror, the clock is said to tick. Between successive ticks the light pulse travels a distance ##2L_0## in the proper reference of frame of the clock...

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