A deep space vehicle is moving away from the earth at a speed of 0.8c. An astronaut in the vehicle takes a 3 s time interval to rotate his body through 1 revolution while floating in the vehicle. What time interval is required for this spin according to an observer on Earth?

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter39: Relativity
Section: Chapter Questions
Problem 71PQ: Joe and Moe are twins. In the laboratory frame at location S1 (2.00 km, 0.200 km, 0.150 km). Joe...
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Please read the following problem, then solve it taking into account the next modification: give any numeric value you want to the time interval required for this rotation according to the observer on Earth and leave the interval measured by the astronaut as unknown (that is what needs to be calculated). Change the numerical value of the vehicle's speed.

A deep space vehicle is moving away from the earth at a speed of 0.8c. An astronaut in the vehicle takes a 3 s time interval to rotate his body through 1 revolution while floating in the vehicle. What time interval is required for this spin according to an observer on Earth?

Please show any steps and calculations also include any assumptions and principles used for solving this problem

 

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