Relativity Problem: Sweep Laser for v > c on Moon's Surface

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SUMMARY

The discussion centers on calculating the minimum angular speed required to sweep a laser across the Moon's surface at a speed greater than the speed of light (v > c). The equation V = omega x R is utilized, where R is approximately 380,000 km, and V is set to c. The impossibility of using the laser spot for communication between research bases on the Moon is also addressed, highlighting the limitations imposed by the speed of light and relativity.

PREREQUISITES
  • Understanding of angular velocity and its calculation.
  • Familiarity with the speed of light (c) as a universal constant.
  • Basic knowledge of the geometry involved in laser projection over long distances.
  • Concepts of relativity and information transmission limits.
NEXT STEPS
  • Research the implications of Einstein's theory of relativity on information transmission.
  • Learn about angular velocity calculations in physics.
  • Explore practical applications of laser communication technologies.
  • Investigate the effects of distance on light speed and perception in astronomical contexts.
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Students of physics, educators teaching relativity, and researchers interested in communication technologies in space exploration.

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Homework Statement



You point a laser flahlight to the Moon, producing a spot of light on the moons surface. At what minimum angular speed must you sweep the laser in order for the light spot to streak across the moons surface with speed v > c? Why can't you transmit information between research bases on the Moon with the flying spot?

Homework Equations





The Attempt at a Solution



The problem is utilizing the correct length. I measure it smaller then it is, since I am so far away. but is there a way to calculate that?
 
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V = omega x R

V = c
R = about 380,000 km
omega = angular velocity in radians/s

For the second part think how you might use the laser on Earth to allow different moon bases to communicate.
 

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