- #1
brum
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We all know that, as an object rotates about an axis in constant circular motion ([tex]\omega[/tex] is constant), the linear velocity increases the further the object is from the axis (v increases as r increases, v =[tex] \omega * r[/tex])
Let's say you build a scyscraper. The taller the skyscraper, the faster the tip of the skyscraper moves (linear velocity) as it rotates about the Earth's axis.
Increase the height of the skyscraper, you increase the linear speed of the top of the skyscraper.
So, let's say you increase the height of the skyscraper to, say, 4,125,296,124,942 meters. Then, the very top of the skyscraper would be traveling at the speed of light. And increase the height a little more and you would be traveling faster than the speed of light.
You could be carrying information at the top of the skyscraper faster than the speed of light.
How is all of this refuted?
Let's say you build a scyscraper. The taller the skyscraper, the faster the tip of the skyscraper moves (linear velocity) as it rotates about the Earth's axis.
Increase the height of the skyscraper, you increase the linear speed of the top of the skyscraper.
So, let's say you increase the height of the skyscraper to, say, 4,125,296,124,942 meters. Then, the very top of the skyscraper would be traveling at the speed of light. And increase the height a little more and you would be traveling faster than the speed of light.
You could be carrying information at the top of the skyscraper faster than the speed of light.
How is all of this refuted?