- #1
bksree
- 77
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Hi
In the book, "Why does E= mc2" by Cox and Forshaw, while discussing time dilation, the example of a muon is given. The authors explain that muons when circulated in the 14 m diameter AGS facility at Brookhaven at 99.94% of the speed of light, its lifetime is increased from the value of 2.2 microseconds (when it is at rest) to 60 microseconds i.e 29 times longer which he explains is equal to gamma = sqrt(1 - v^2 / C^2).
My question is : The formula, gamma = sqrt(1 - v^2 / C^2), is for an inertial system while the muons while moving in the circular orbit are in an accelerating frame. So is it correct to use this expression for time dilation ?
Thank you
In the book, "Why does E= mc2" by Cox and Forshaw, while discussing time dilation, the example of a muon is given. The authors explain that muons when circulated in the 14 m diameter AGS facility at Brookhaven at 99.94% of the speed of light, its lifetime is increased from the value of 2.2 microseconds (when it is at rest) to 60 microseconds i.e 29 times longer which he explains is equal to gamma = sqrt(1 - v^2 / C^2).
My question is : The formula, gamma = sqrt(1 - v^2 / C^2), is for an inertial system while the muons while moving in the circular orbit are in an accelerating frame. So is it correct to use this expression for time dilation ?
Thank you